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School: Columbia
Course: Stochastic Models For FE
IEOR 4701 Stochastic Models in FE Practice Final Midterm Lecturer: Jose Blanchet Maximum 100 points. Provide as clear and concise answers as you can for the questions below. Clarity will be evaluated as part of the grade. 1. (50 points) Let us recall the
School: Columbia
1Solution: A1 When A1, A2, A3 are disjoint from each other, obviously, A3 A2 P ( A1 A2 A3) = P( A1) + P( A2) + P( A3) . When A1, A2 and A3 are not disjoint from each other, A1 A3 P ( A1 A2 A3) < P( A1) + P( A2) + P( A3) A2 (2) Solution: (
School: Columbia
Course: Micro
W3211 Spring 2009 Professor Vogel Review for Midterm #1: Solutions Review Questions and solutions: 1. Consider the following payo matrix: L T x 1 ; y1 B x 3 ; y3 R x 2 ; y2 x 4 ; y4 In the following questions, suppose this is a simultaneous move game: (a)
School: Columbia
Course: Math Programming
xs xl max 0.1 xs + 0.15 xl 0.7 xs 0.3 xl xl 400 xs + xl 1000 xs xl n1 n2 s1 s2
School: Columbia
Course: Optimization For Financial Engineering
IEOR E4007 G. Iyengar October 15, 2012 Homework #6 Due: Monday, Oct. 22nd. 1. Human resources planning problem A rentacar company operates a rentalagent training program, which students complete in one month. The teachers in this program are trained re
School: Columbia
Course: Intro To Accounting And Finance
Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Solutions to Homework 8 Readings, Problems and Cases II Risk Questions 1. Describe a method for increasing expected returns (increasin
School: Columbia
Course: Micro
W3211 Spring 2009 Professor Vogel Review for Midterm #1: Solutions Review Questions and solutions: 1. Consider the following payo matrix: L T x 1 ; y1 B x 3 ; y3 R x 2 ; y2 x 4 ; y4 In the following questions, suppose this is a simultaneous move game: (a)
School: Columbia
E CON W3213  P ROF. X AVIER S ALA  I M ARTIN TA: C ARLOS M ONTES G ALDN R ECITATION N OTES 6 DISCLAIMER: These notes are just an outline for my recitation, and therefore, they are not exhaustive. You should complete them with your own notes from the s
School: Columbia
Course: INTRODUCTION TO ARCHITECTURE
Thu 19 Architectural Drawings. Conventions of plans/sections/elevation. Readings: J. Ackerman, The origins of Architectural Drawing in the Middle Ages and Renaissance, in Origins, Imitation, Conventions, MIT Press, Cambridge MA, London UK, 2002, pp.
School: Columbia
Course: Econometrics
Review for Final Exam Prof. Seyhan Erden Arkonac Final Exam is CUMULATIVE This review will cover those chapters after the Midterm Exam only. (i.e. Chapters 10, 11, 12, 13.1, 13.2, 14.1, 14.2, 14.3, 14.4, 15, 16.1, 16.2) For earlier chapters please refer b
School: Columbia
Christine Kim Literature Humanities Notes Monday, October 01, 2007 Herodotus, The Histories Background Herodotus "father of history" An attempt to "prevent the traces of human events from being erased by time" (at the beginning of the book) One
School: Columbia
Herodotus Outline Ruijie Song Book 1 Ch. 1140 Womenstealing by Greeks & Persians Greek 'overreaction' in Helen's case beginning of enmity. Gyges becomes king of Lydia War between Lydia and Miletus Arion's dolphin ride Croesus attacks Greeks Solon
School: Columbia
IV. Pedro Paramo Essay A utopia has become amongst many things a religious ideal that can be achieved by leading a moral life. Furthermore, utopia is perfect living, life is blissful, all people are accounted for, and true clarity is achieved. In co
School: Columbia
Course: Intro To Comparative Ethnic Studies
Please write 57, doublespaced pages at 12point font to answer the question. As you make your argument and engage with topics discussed in the texts, specify the time and place that pertain to those topics. Also, be sure to cite from at least 7 texts fr
School: Columbia
Course: Intro To Comparative Ethnic Studies
As the complexion of the sky grows nearer to mine (read: black), the flexibility of my wardrobe quickly returns to its unnatural state of rigidity. Sure, I could proudly raise that particularly long finger, nestled between index and ring, and wear my all
School: Columbia
Course: Evolution Of Consciousness/Intelligence
To what extent do animal species differ qualitatively with respect to their intelligence? Justify your answer with examples. Intelligence n. (2): the ability to apply knowledge to manipulate one's environment or to think abstractly as measured by objectiv
School: Columbia
Course: Evolution Of Consciousness/Intelligence
To what extent do animal species differ qualitatively with respect to their intelligence? Justify your answer with examples. Intelligence n. (2) : the ability to apply knowledge to manipulate one's environment or to think abstractly as measured by objecti
School: Columbia
Course: ADVANCED ENGINEERING
IEOR E4403 Advanced Engineering and Corporate Economics Fall 2011 Professor Sadighian Lecture 1 Analysis of Financial Statements 0 Course Description This course covers important issues in corporate finance We introduce key measures and analytical tools t
School: Columbia
Course: Symbolic Logic
PHIL V3411 / PHIL G4415 Introduction to Symbolic Logic Lecture 1 Introduction and Overview Introduction Logic is the study of arguments. An argument is a sequence of statements of which one is intended as a conclusion and the others, the premise
School: Columbia
Course: Linear Regression Models
Introduction to Simple Linear Regression Yang Feng Yang Feng (Columbia University) Introduction to Simple Linear Regression 1 / 70 Course Description Theory and practice of regression analysis, Simple and multiple regression, including testing, estimation
School: Columbia
Course: Introduction To Financial Engineering
Date Open High Low Close Volume Adj Close Ri Rbar squared(RiRbar) 1173.78 1217.33 1173.78 1211.92 1.4E+009 1211.92 0.013872 0.000775 0.0002145429 1130.2 1188.46 1127.6 1173.82 1.5E+009 1173.82 0.016446 0.0002965641 1114.58 1142.05 1090.29 1130.2 1.6E+00
School: Columbia
Course: Introduction To Financial Engineering
IEOR E4709 Data Analysis for Financial Engineers Xuedong He, Spring 2014 Supplemental Notes to Lecture Notes 11 1 Sample AutoCorrelation Function Let cfw_Xt be a stationary time series. Denote as the common mean of Xt and (h) as its autocovariance func
School: Columbia
Course: Introduction To Financial Engineering
IEOR E4709 Data Analysis for Financial Engineers Xuedong He, Spring 2014 Supplemental Notes to Lecture Notes 12 1 Casuality and Invertibility of ARMA models An ARMA(p, q) model p q rt i rti = at + j atj , i=1 tZ (1) j=1 is casual if rt can be written as
School: Columbia
Course: Stochastic Models For FE
IEOR 4701 Stochastic Models in FE Practice Final Midterm Lecturer: Jose Blanchet Maximum 100 points. Provide as clear and concise answers as you can for the questions below. Clarity will be evaluated as part of the grade. 1. (50 points) Let us recall the
School: Columbia
Course: Stochastic Models For FE
IEOR 4701 Midterm Exam: Summer, 2012 (Thursday August 2) Open class notes, closed books: 2 hours. (Professor K. Sigman) 1. (30 points, 10 each). An assets price moves according to a simple random walk with p = 0.6, and an initial price of 2. (a) What is t
School: Columbia
Course: Stochastics
IEOR4106 Intro to OR  Stoch Models David D. Yao, Fall 2008 Midterm Examination (Part I; 75 minutes) Please return this sheet together with your solutions. All problems are equally weighted. 1. X and Y are two discrete random variables, with the P[X = i,
School: Columbia
Course: Production Planning
IEOR E3402: Midterm 1 1. (4 points) Nick earned $5000 during his summer internship last year. He deposited his summer income in a Crown Bank savings account, which has an interest rate of 3% per year. Unfortunately Crown Bank does not have any ATM machine
School: Columbia
Course: Intro To Deterministic Models
IEOR E4004: Deterministic Models Jay Sethuraman & Dawn Strickland Midterm 1. (10 points) Consider the linear programming problem Max 3x1 + 2x2 subject to: x1 + 2x2 4 3x1 + 2x2 14 x1  x2 3 x1 , x2 0 (a) (2 points) Convert this to standard form (nonnegat
School: Columbia
Course: Inermediate Macroeconomics
Page 1 Test 1 Solutions Intermediate Macro Part I: SHORT ANSWER QUESTIONS 1. Briefly state what the following terms mean: (3) (a) Gross Domestic Product (GDP) GDP is the total income earned domestically in a given year. It is also the value of fin
School: Columbia
Course: Math Programming
xs xl max 0.1 xs + 0.15 xl 0.7 xs 0.3 xl xl 400 xs + xl 1000 xs xl n1 n2 s1 s2
School: Columbia
Course: Optimization For Financial Engineering
IEOR E4007 G. Iyengar October 15, 2012 Homework #6 Due: Monday, Oct. 22nd. 1. Human resources planning problem A rentacar company operates a rentalagent training program, which students complete in one month. The teachers in this program are trained re
School: Columbia
Course: Intro To Accounting And Finance
Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Solutions to Homework 8 Readings, Problems and Cases II Risk Questions 1. Describe a method for increasing expected returns (increasin
School: Columbia
Course: Math Programming
x1 x2 min 2 x1 + 5 x2 0.3 x1 + 0.3 x2 150 0.1 x1 + 0.3 x2 120 0.1 x1 + 0.15 x2 100 0.1 x1 + 0.2 x2 110 x2 (x1 +x2 ) 2 x1 0 x2 0 xs max 3 xs + 5 xt 2 xs + xt 100 xs + xt 80 xs 40 xs 0 xt 0 xt
School: Columbia
Course: Math Programming
IEOR 3608 HOMEWORK 2 due on September 28 at the start of the midterm 1. p. 115, problem 12 2. p. 139, problem 1 3. Consider the following linear program: max x1 subject to: x1 + x2 2 x1 + x2 8 x1 + x2 4 x1 , x2 0 (a) Graph the feasible region, and nd an o
School: Columbia
Course: Intro To Accounting And Finance
Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Homework 1 Readings and Problems 0. Reading: Breitner and Anthony, Parts 2, 4 and 5. 1. Applications of the Fundamental Accounting Equ
School: Columbia
Course: GENERAL CHEMISTRY LABORATORY
Eileen Li exl2101 W1500sec2 Exp 3: Vitamin C Analysis (Berans 30) The goal of this experiment was to determine the amount of vitamin C in a vitamin tablet by using a titration system and the ascorbic acid as the limiting reactant. Using the mass ratio to
School: Columbia
School: Columbia
School: Columbia
School: Columbia
School: Columbia
School: Columbia
Course: Literature Humanities
The Iliad By Homer (Books I XII) Plot Summary The Iliad picks up at the end of the Trojan War a tenyear long war fought between the Achaeans (Greek) and the Trojans. Chryses, the priest of Apollo, pleads with the Achaeans to return to him his daughter wh
School: Columbia
Course: Literature Humanities
Hymn to Demeter Plot Summary: The story unfolds with Persephone playing in a beautiful lush garden. Soon thereafter, Hades abducts Persephone and brings her into the underworld. While Persephone does release a scream when she is initially kidnapped, no go
School: Columbia
Course: Intro To Comparative Ethnic Studies
Terms: Define the following, especially citing its meanings, contexts, and wider significance. Third World The developing countries within Asia, Africa, and Latin America, and Caribbean related to development and underdevelopment lecture: 3rd world peo
School: Columbia
Course: Sim
IEOR E4404 Solution to Assignment 4 2013 Fall 1. Provide a procedure that clearly explains how to sample uniformly from the region A = cfw_ 1 x 1 : y 1 x1/4 Solution Notice that the region A is symmetric along both the horizontal and the vertical ax
School: Columbia
Course: Data Analysis For Financial Engineering
E4702. Statistical Inference for Financial Engineering. Professor S. Kou. Midterm, August 11, 2012. 2pm4:30pm. Closed Book Exam. Total 40 pts. x 1. a. (4 pts) If x < 0, then P ( n( Mn ) x) = P ( Mn Mn > 0: n ) = 0, because If x 0, then P( n( Mn ) x) x +
School: Columbia
Course: Stat
Columbia University Department of IEOR Statistical Inference for Financial Engineering E4702, Summer 2010 TR 3pm5:30pm, 633 Mudd Columbia Course Work Web Page Prof. Steven Kou 312 Mudd Building sk75@columbia.edu Tel: 2128544334 Professor's Office Hours
School: Columbia
Course: Principles Of Econ
Columbia University Department of Economics Principles of Economics _ W1105x2 Spring 2008 Office Hours: 1125 IAB M/W 9:1010:25 M: (1112); W: (1112:30) 501 Schermerhorn email: skg21 Sunil K. Gulati tel: x44067 _ Readings: The required textbook fo
School: Columbia
Course: Foundation Of Financial Engineering
Columbia University Department of IEOR Foundations of Financial Engineering E4706, Summer 2010 TR 11am1:30pm, 633 Mudd Columbia Course Work Web Page Prof. Steven Kou 312 Mudd Building sk75@columbia.edu Tel: 2128544334 Professors Oce Hours: TA: TA emai
School: Columbia
Course: GenChem2
GENERAL CHEMISTRY 1404 Spring Term 2010 Description: The second of a twoterm introductory chemistry sequence, Chemistry 1404/6 will include the following course topics: the properties of gases, liquids, and solids, and the transitions between them; chemi
School: Columbia
Course: Rise Of Civilization
THE RISE OF CIVILIZATION Anthropology V1008y Spring 2007 TR: 1:102:25 PM 702 Hamilton Hall SYLLABUS Prof. Terence D'Altroy Office: 962 Schermerhorn Extension Tel.: 8542131; email: tnd1@columbia.edu Office hours: M 45, T 35 In the human past,
School: Columbia
Course: Intensive Organic Chemistry
CHEM C3045 Fall 2009 Recitation Syllabus Times and Location TBA TA: Danielle F. Sedbrook B.S. in Chemistry from The University of Chicago, Focus in Synthetic Organic Chemistry in the lab of Prof. Viresh Rawal PhD Student in the Department of Chemistry u
School: Columbia
Course: Stochastic Models For FE
IEOR 4701 Stochastic Models in FE Practice Final Midterm Lecturer: Jose Blanchet Maximum 100 points. Provide as clear and concise answers as you can for the questions below. Clarity will be evaluated as part of the grade. 1. (50 points) Let us recall the
School: Columbia
1Solution: A1 When A1, A2, A3 are disjoint from each other, obviously, A3 A2 P ( A1 A2 A3) = P( A1) + P( A2) + P( A3) . When A1, A2 and A3 are not disjoint from each other, A1 A3 P ( A1 A2 A3) < P( A1) + P( A2) + P( A3) A2 (2) Solution: (
School: Columbia
Course: Micro
W3211 Spring 2009 Professor Vogel Review for Midterm #1: Solutions Review Questions and solutions: 1. Consider the following payo matrix: L T x 1 ; y1 B x 3 ; y3 R x 2 ; y2 x 4 ; y4 In the following questions, suppose this is a simultaneous move game: (a)
School: Columbia
Course: Math Programming
xs xl max 0.1 xs + 0.15 xl 0.7 xs 0.3 xl xl 400 xs + xl 1000 xs xl n1 n2 s1 s2
School: Columbia
Course: Optimization For Financial Engineering
IEOR E4007 G. Iyengar October 15, 2012 Homework #6 Due: Monday, Oct. 22nd. 1. Human resources planning problem A rentacar company operates a rentalagent training program, which students complete in one month. The teachers in this program are trained re
School: Columbia
Course: Intro To Accounting And Finance
Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Solutions to Homework 8 Readings, Problems and Cases II Risk Questions 1. Describe a method for increasing expected returns (increasin
School: Columbia
Course: Math Programming
x1 x2 min 2 x1 + 5 x2 0.3 x1 + 0.3 x2 150 0.1 x1 + 0.3 x2 120 0.1 x1 + 0.15 x2 100 0.1 x1 + 0.2 x2 110 x2 (x1 +x2 ) 2 x1 0 x2 0 xs max 3 xs + 5 xt 2 xs + xt 100 xs + xt 80 xs 40 xs 0 xt 0 xt
School: Columbia
Course: Math Programming
IEOR 3608 HOMEWORK 2 due on September 28 at the start of the midterm 1. p. 115, problem 12 2. p. 139, problem 1 3. Consider the following linear program: max x1 subject to: x1 + x2 2 x1 + x2 8 x1 + x2 4 x1 , x2 0 (a) Graph the feasible region, and nd an o
School: Columbia
Course: Intro To Accounting And Finance
Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Homework 1 Readings and Problems 0. Reading: Breitner and Anthony, Parts 2, 4 and 5. 1. Applications of the Fundamental Accounting Equ
School: Columbia
Course: Computer Communication Network
1 Chapter I: Introduction 1. General Information 1.1 Instructor Professor: Nicholas F. Maxemchuk Email: nick@ee.columbia.edu/ nick Phone: 212 854 0580 Rm 809 Shapiro Ofce Hours: Tue,Thurs 45 PM Teaching Assistant: Yitian Gu yg2261@columbia.edu Graders:
School: Columbia
Course: Digital VLSI Circuits
EE4321 Digital VLSI Problem Set # 1 Solutions 1. (a) (5 points + 2 bonus points for good graphs) For this question, the following equations are valid to solve for the drain current ID of the pMOS. If the transistor is not velocity saturated, ID = p W Cox
School: Columbia
Course: Stochastic Models For FE
IEOR 4701 Assignment 2 Solution Summer 2011 Question 1: Suppose that (Xn : n 0) is a finite statespace Markov chain. Suppose that B is a given subset of the statespace and define TB = mincfw_n 0 : Xn B. We assume that Pi (TB < ) = 1 for all i B. / Find
School: Columbia
Course: Stochastic Models For FE
IEOR 4701 Midterm Exam: Summer, 2012 (Thursday August 2) Open class notes, closed books: 2 hours. (Professor K. Sigman) 1. (30 points, 10 each). An assets price moves according to a simple random walk with p = 0.6, and an initial price of 2. (a) What is t
School: Columbia
Course: Digital VLSI Circuits
Columbia University Department of Electrical Engineering EE E4321. Problem Set #1. MOS Device Physics Review. Due: Wednesday, September 21, 2011, 5 PM by electronic submission (see below) Please carefully follow these instructions. All problem sets should
School: Columbia
Course: Iyengar
IEOR E4007 G. Iyengar Homework #2 1. Simple problems on simplex Consider a linear program with n = 4 variables and m = 2 constraints. Suppose the current basis B = cfw_1, 2 and the constraints are given by x1 x2 3x3 +3x4 = 6 8x3 +4x4 = 4 For each of the f
School: Columbia
Course: Micro
W3211 Spring 2009 Professor Vogel Homework #2: Due February 10, 2009 Please write your name on the top of every page of your homework (in case they get separated) and please staple all pages together. Where appropriate, you must show all work. If you just
School: Columbia
ECO V3265 Fall 2006 Problem Set #1Balance Sheets (due Friday Sept 21, 4pm, Lehman 4) Perry Mehrling The purpose of this problem set is to investigate the natural hierarchy in balance sheets, a hierarchy that extends from dealers to banks to centra
School: Columbia
Course: Simulation
IEOR E4404 Solutions to Assignment 1 Fall 2011 1. If X and Y are independent Binomial random variables with respective parameters (n, p) and (m, p), argue, without any calculation, that X + Y is Binomial with parameters (n + m, p) n m Solution. We can wri
School: Columbia
Course: Intro To Deterministic Models
IEOR E4004: Introduction to Operations Research: Deterministic Models Jay Sethuraman & Dawn Strickland HW 1 (due 09/21) All problems are from the text: Applied Mathematical Programming, by Bradley, Hax and Magnanti. 1. Problem 1.1 2. Problem 1.4, part (a)
School: Columbia
Course: Stochastics
IEOR4106 Intro to OR  Stoch Models David D. Yao, Fall 2008 Midterm Examination (Part I; 75 minutes) Please return this sheet together with your solutions. All problems are equally weighted. 1. X and Y are two discrete random variables, with the P[X = i,
School: Columbia
Course: Production Planning
IEOR E3402: Midterm 1 1. (4 points) Nick earned $5000 during his summer internship last year. He deposited his summer income in a Crown Bank savings account, which has an interest rate of 3% per year. Unfortunately Crown Bank does not have any ATM machine
School: Columbia
Course: Simulation
IEOR 4404 Simulation Prof. Mariana OlveraCravioto Assignment #1 September 7, 2008 Page 1 of 1 Assignment #1 due September 16th, 2008 1. (From Ross) The following data yield the arrival times and service times that each customer will require, for the rst
School: Columbia
Course: Math Programming
IEOR 3608 Introduction to Mathematical Programming Professor Maria Chudnovsky Homework #5 Solutions Problem 1 IEOR 3608 Introduction to Mathematical Programming Professor Maria Chudnovsky Problem 2 IEOR 3608 Introduction to Mathematical Programming Profes
School: Columbia
Course: Iyengar
IEOR E4007 G. Iyengar Oct. 8th, 2008 Solution to Homework #2 1. Simple problems on simplex Consider a linear program with n = 4 variables and m = 2 constraints. Suppose the current basis B = cfw_1, 2 and the constraints are given by x1 x2 3x3 +3x4 = 6 8x3
School: Columbia
Course: Databases
Problem 1 You are given a relation R(A,B,C,D) with functional dependencies F = cfw_A > BC, C > AD. a. What are all the nontrivial functional dependencies that follow from the given F? Step 1 (1attribute closures). Compute A+, B+, C+, and D+. C > AD s
School: Columbia
Course: Intro To Econometrics
Department of Economics Columbia University W3412 Fall 2010 SOLUTIONS to Problem Set 1 Introduction to Econometrics Prof. Dennis Kristensen and Seyhan E Arkonac, PhD for all sections Calculator was once a job description. This problem set gives you an opp
School: Columbia
Course: BUSI 544
BUSI 570/ GE Datacase 1.a: The current stock price: 1.b: The current divident: $27.20 $0.76 2.a: The number of shares of stock outstanding: 2.b: The Payout ratio: 10.12 B 52% 3: The expected growth rate for the next 5 years 9.90% 4: GE Income Statement 31
School: Columbia
Course: Production Planning
IEOR 3402: Assignment 6 You may work individually, or as a group of 2 students. (If you work as a group, please submit one assignment per group.) 1. The Manager of the American Savings Bank wants to determine the minimum number of tellers needed to handl
School: Columbia
Velocity, Acceleration, and g Experiment #1 Jae Chung 10/1/2007 Introduction: For this lab, we studied a rider's motion on a level air track for the first experiment and on a sloped track of varying angles for the second experiment. The purpose of t
School: Columbia
Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier SalaiMartin 1. Doc, Grumpy, Sneezy, Bashful, Happy, Sleepy, and Dopey A utility function is a mathematical function representing preferences. It is a relationshi
School: Columbia
Course: Computer Network
Fall 2011 CSEE W4119 Computer Networks Homework 6 Solution Professor Zussman 1. a) E ( p) Np(1 p) N 1 E ' ( p) N (1 p) N 1 Np( N 1)(1 p) N 2 N (1 p) N 2 (1 p) p( N 1) E ' ( p) 0 p* 1 N b) E ( p*) N 1 1 (1 ) N 1 N N lim (1 N 1 ) 1 N 1N ) 1 N 1 N (1 )
School: Columbia
Course: Foundation Of Financial Engineering
Columbia University IEOR 4706: Foundations of Financial Engineering M.S. in Financial Engineering Summer 2011. Instructor: Rama CONT TA: Jinbeom Kim Assignment 1. Bond pricing. Assignments should be done individually. The table below shows the term struct
School: Columbia
Course: Stochastic Models For FE
IEOR 4701 1. Ross, 4.28 Assignment 1 Proposed Solutions Summer 2011 A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Find the expected number of defective items in the sample. Solution. Let X denote the nu
School: Columbia
Course: Foundation Of Financial Engineering
Columbia University Instructor: Rama CONT Assignment 1. Bond pricing. Assignments should be done individually. M.S. in Financial Engineering Summer 2011. IEOR 4706: Foundations of Financial Engineering The table below shows the term structure of (annually
School: Columbia
Course: Computer Network
Fall 2011 CSEE W4119 Compu ter Networks Homework 5 Solution P rofessor Zussman 1 (30 pts.) 1.1 (15 pts.) Steps Nodes 1 2 3 4 5 6 7 8 A 0 0 0 0 0 0 0 0 B 15 14 12 12 12 12 12 11 C 12 D 10 10 10 E 7 7 7 7 F 6 6 6 6 6 G 9 9 9 8 8 8 H 11 11 11 11 10 10 I 3 3
School: Columbia
Course: Introduction To Operations Research
IEOR 4106, Solutions to HMWK 1, Professor Sigman 1. Consider the Rat in the Maze with 4 rooms, but now there is no escape (e.g., no door out). Once again we assume the rat is equally likely to choose one of the two doors to move from room to room. So now
School: Columbia
Course: BUSI 544
Eugene D. Fanning Center for Business Communication Mendoza College of Business University of Notre Dame 0506 The Walt Disney Company: Launch of a Hong Kong Theme Park Introduction On November 3, 1999, an official announcement by Judson Green, the Chairm
School: Columbia
Course: Computer Networks
CSEEW4119ComputerNetworks Homework5 Prof.Zussman 1 Nodes are connected as described below. Node A is the source and node B is the destination. The link weightsappearontheedges. 15 2 A B C 2 12 2 7 1 2 J 9 1 2 H D 4 8 K I 2 1 6 2 3 2 G 3 1 F E 1 1 Topology
School: Columbia
Course: ADVANCED ENGINEERING
IEOR E4403 Advanced Engineering and Corporate Economics Fall 2011 Professor Sadighian Lecture 1 Analysis of Financial Statements 0 Course Description This course covers important issues in corporate finance We introduce key measures and analytical tools t
School: Columbia
Course: Stochastic Models For FE
IEOR 4701 Assignment 1 Summer 2011 1. Ross, 4.28 A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Find the expected number of defective items in the sample. 2. Ross, 4.41 A man claims to have extrasensory
School: Columbia
Course: Stochastic Models For FE
Copyright c 2009 by Karl Sigman 1 Introduction to Martingales in discrete time Martingales are stochastic processes that are meant to capture the notion of a fair game in the context of gambling. In a fair game, each gamble on average, regardless of the p
School: Columbia
Course: Deterministic Models
IEOR 4004 HOMEWORK 2 due on September 27 at the start of the class 1. Consider the following linear program: max 2x1 + x2 subject to: 2x1 + 3x2 3 x1 + 5 x2 1 2x1 + x2 4 4x1 + x2 5 x1 , x2 0 (a) Is the point (0, 0) a feasible solution for this program? (b)
School: Columbia
Course: Intro To Deterministic Models
IEOR E4004: Deterministic Models Jay Sethuraman & Dawn Strickland Midterm 1. (10 points) Consider the linear programming problem Max 3x1 + 2x2 subject to: x1 + 2x2 4 3x1 + 2x2 14 x1  x2 3 x1 , x2 0 (a) (2 points) Convert this to standard form (nonnegat
School: Columbia
Course: Introduction To Operations Research: Stochastic Modeling
HMWK 6 Solutions 1. A stock has an initial price of S0 = 40. Sn denotes the price at time t = n, where we assume the binomial lattice model with parameters u = 1.25 d = 0.8 p = 0.60. The interest rate is r = 0.05. (Note that ud = du = 1.) (a) Compute E (S
School: Columbia
Economics 3213 Answers to Problem Set 9: Aladdin Prof. Xavier SalaiMartin 1. Jafar a. If the firm buys real capital, it will receive the same amount as usual: [MPKt+1 + (1  )]Pt+1. b. If the firm buys a bond, it will receive (1 + R)Pt. c. If the
School: Columbia
Course: Intermediate Microeconomics
Department of Economics Columbia University W3211 Fall 2011 SOLUTIONS TO Problem Set 5 Intermediate Microeconomics Prof. Seyhan E Arkonac 1. Sinan declares that he is risk neutral andthinking of opening a video game store for holidays shopping period. His
School: Columbia
Course: Fin Econ
Financial Economics V 3025 Rajiv Sethi Phone: 854 5140 Problem Set 1: Solutions Fall 2009 5B Lehman rs328@columbia.edu 1. (a) The investment rate is 0:51962 = 0:05481 = 5:481%: 9:48038 (b) If bidder FUN had chosen to bid 5.6% instead of 5.0%, the market c
School: Columbia
HOMEWORK #1 STATISTICAL INFERENCE (1) As seen in class Boole's inequality states that n P n Ai j=1 i=1 P(Ai ). Use Venn diagrams to convince yourself that Boole's inequality is true in the case that n = 3. (2) Suppose we conduct an experiment an
School: Columbia
Course: Production Scheduling
Homework #1 solutions / IEOR4405 1 1. Problem 2.4 (a) For the problem 1Tj , one needs to minimize the total tardiness. Tj is dened as max(Cj dj ,0). The optimal value (minimum) is Tj = 22. This can be achieved by the schedule 1243. Since, the number
School: Columbia
Course: Production Planning
IEOR 3402: Assignment 4 1. Nahmias 4.10. 2. Quarterinch stainlesssteel bolts are consumed in a factory at a fairly steady rate of 60 per week. The bolts cost the plant two cents each. It costs the plant $12 to initiate an order, and holding costs are ba
School: Columbia
Course: Production Management
K1 K2 K3 W0 I0(1) I0(2) I0(3) Week Demand Demand Demand Produced 6.67 3.33 2.5 30 20 0 1 300 600 450 I6(1) I6(2) I6(3) 2 350 550 400 0 0 0 3 400 500 475 4 500 400 550 5 475 350 525 6 500 300 600 1 2 3 1 2 3 labour hourly Rate 14 overtime rate 25 Holding C
School: Columbia
Course: Introduction To Operations Research: Stochastic Models
IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2009, Professor Whitt Class Lecture Notes: Tuesday, January 20. Conditional Probability We discussed several problems in Chapter 1 of Ross: Problems 28, 18, 33, 42, 23, 26 and 27. I
School: Columbia
Course: Software Engineering
COMS W3156: Software Engineering, Fall 2001 Lecture #18: Maintenance, Swing/AWT Janak J Parekh janak@cs.columbia.edu Administrativia My laptop died One downside of being a CS major Prototype status Your status? Modify schedule again, give a few more d
School: Columbia
Course: Inermediate Macroeconomics
Page 1 Test 1 Solutions Intermediate Macro Part I: SHORT ANSWER QUESTIONS 1. Briefly state what the following terms mean: (3) (a) Gross Domestic Product (GDP) GDP is the total income earned domestically in a given year. It is also the value of fin
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E CON W3213  P ROF. X AVIER S ALA  I M ARTIN TA: C ARLOS M ONTES G ALDN R ECITATION N OTES 6 DISCLAIMER: These notes are just an outline for my recitation, and therefore, they are not exhaustive. You should complete them with your own notes from the s
School: Columbia
Course: Probability
IEOR 3658 Probability Prof. Mariana OlveraCravioto Assignment #4 October 4, 2011 Page 1 of 2 Assignment #4 due October 12th, 2008 1. The annual premium of a special kind of insurance starts at $1000 and is reduced by 10% after each year where no claim ha
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abstraction Abstraction refers to the separation of the highlevel view of an entity or an operation from the lowlevel details of its implementation. accessor method A method that provides readonly access to a particular file. ACK  acknowledgeme
School: Columbia
Course: Intermediate Microeconomics
Department of Economics Columbia University W3211 Fall 2011 S O L U T I O N S T O P r ob l e m Se t 7 I n t e r m e d i a t e M i c r o e co n o m i cs P r of . Se y h a n E A r k on a c 1. Suppose that the minimum wage covers all sectors of the economy;
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Course: Micro
W3211 Spring 2009 Professor Vogel Review for Midterm #1: Solutions Review Questions and solutions: 1. Consider the following payo matrix: L T x 1 ; y1 B x 3 ; y3 R x 2 ; y2 x 4 ; y4 In the following questions, suppose this is a simultaneous move game: (a)
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E CON W3213  P ROF. X AVIER S ALA  I M ARTIN TA: C ARLOS M ONTES G ALDN R ECITATION N OTES 6 DISCLAIMER: These notes are just an outline for my recitation, and therefore, they are not exhaustive. You should complete them with your own notes from the s
School: Columbia
Course: INTRODUCTION TO ARCHITECTURE
Thu 19 Architectural Drawings. Conventions of plans/sections/elevation. Readings: J. Ackerman, The origins of Architectural Drawing in the Middle Ages and Renaissance, in Origins, Imitation, Conventions, MIT Press, Cambridge MA, London UK, 2002, pp.
School: Columbia
Course: Econometrics
Review for Final Exam Prof. Seyhan Erden Arkonac Final Exam is CUMULATIVE This review will cover those chapters after the Midterm Exam only. (i.e. Chapters 10, 11, 12, 13.1, 13.2, 14.1, 14.2, 14.3, 14.4, 15, 16.1, 16.2) For earlier chapters please refer b
School: Columbia
Christine Kim Literature Humanities Notes Monday, October 01, 2007 Herodotus, The Histories Background Herodotus "father of history" An attempt to "prevent the traces of human events from being erased by time" (at the beginning of the book) One
School: Columbia
Herodotus Outline Ruijie Song Book 1 Ch. 1140 Womenstealing by Greeks & Persians Greek 'overreaction' in Helen's case beginning of enmity. Gyges becomes king of Lydia War between Lydia and Miletus Arion's dolphin ride Croesus attacks Greeks Solon
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Risk and Credit Derivatives Lecture 01: Default risk, credit risk and the risk structure of interest rates Notes originally written by Prof. Rama Cont Instructor: Xuedong He Spring, 2012 1 / 23 The term structure of interest rates 1$ at
School: Columbia
Course: Contemporary Civilization
Hume, An Enquiry Concerning the Principles of Morals 3/10/2008 7:44:00 PM sections IV; section IX (II); Appendices IIII To think about: What constitutes a just society, how do we know it, etc. try to figure out precisely the argument about moral se
School: Columbia
Principles of Economics W1105y2 Spring 2008 Sunil Gulati MidTerm Review Exam: The midterm exam is set for March 12. Be prompt. Students will letter(s) of your last name, as follows: AM NSe ShZ the normal lecture time (9:1010:25AM) on Wednesday
School: Columbia
The Iliad Context Nearly three thousand years after they were composed, the Iliad and the Odyssey remain two of the most celebrated and widely read stories ever told, yet next to nothing is known about their composer. He was certainly an accomplished
School: Columbia
Course: Evolution Of Consciousness/Intelligence
Anais da Academia Brasileira de Cincias (2004) 76(2): 189200 (Annals of the Brazilian Academy of Sciences) ISSN 00013765 www.scielo.br/aabc Innateness and the instinct to learn PETER MARLER Animal Communication Laboratory, Department of Neurobiology, Ph
School: Columbia
Course: Evolution Of Consciousness/Intelligence
Animal & primate Cognition By Andrew J Herp Do Animals Think? Animals as machines Behaviorist John Watson Ivan Pavlov Classical Conditioning SR Model B. F. Skinner Operant Conditioning Hunter .If comparative psychology is to postulate a representative fa
School: Columbia
Course: Evolution Of Consciousness/Intelligence
1. To what extent do animal species differ qualitatively with respect to their intelligence? Justify your answer with examples. a. Introduction a.i. Intelligence n.: the ability to acquire and apply knowledge and skills. a.ii. Trees grow taller faster in
School: Columbia
Course: JAVA
Problem Set 1 Nnamdi Nwaezeapu 10. a. Step 1: Get two positive integers as input; call the larger value I and the smaller value J I = 32 J = 20 Post Step Values (i.e. the values of I J and R, after the previous step has been completed): I = 32 ; J = 20 ;
School: Columbia
Course: Elementary German 1
1 1101 ABSCHLUSSEXAMENREVIEW April 2014 Hier sind Kategorien, die Sie fr das Examen lernen sollen: I. Themen fr Dialoge mit dem Partner. II. Vokabeln: Intro B, K5: Familie (3031, 64, 173174, 176) Intro B und K4: Jahreszeiten und Tage (32; 130, 158) K1
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Course: Elementary German 1
Abschlussexamen  Wiederholung: Schlssel 1 IA. Wortschatz (Schlssel) 1. Christoph hat am 3. August Geburtstag. Sein Geburtstag ist also im Sommer . 2. Der Tag nach Dienstag heit Mittwoch. 3. Ich schlafe immer in meinem LieblingsNachthemd. 4
School: Columbia
Course: Public Economics
Taxation of saving Qualications and extensions of the simple model of saving Two periods, consumption C1 and C2 Budget constraint C1 + C2 Y2 = Y1 + 1 + r (1 t) 1 + r (1 t) where Y1 and Y2 represent income in the corresponding periods, r is the interest ra
School: Columbia
Course: LATIN AMERICAN CIVILIZATION
Lecture #: 3 Date: 09/09/14 The incas more than likely did not know of the aztec The INca began in the cuzco region and developed outwards Huaynacapa he is in power from 14931497 Tawantinsuyu Andes the verticality of the andes was a big challenge for t
School: Columbia
Course: LATIN AMERICAN CIVILIZATION
Document: Latin American Civilization. History and Society (C) Author: Benjamin Keen Page #s: N/A Reading for: 09/09/14  Lecture 3 Father Cobos Understanding of Incas Although inca were diverse and widespread, they fell under a single set of rules custo
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Derivatives Lecture 11: Credit Portfolio: Risk and Rating Instructor: Xuedong He Spring, 2014 1 / 41 Measure Credit Risk Suppose we invest in a bond. Credit risk arises because the bonds value in one year can vary depending on the credi
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Risk and Credit Derivatives Lecture 13: A General Picture of Portfolio Credit Risk Modeling Instructor: Xuedong He Spring, 2014 1 / 23 Portfolio Credit Risk Modeling There are two main approaches of portfolio credit risk modeling Bottom
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Risk and Credit Derivatives Lecture 12: Counterparty Risk Instructor: Xuedong He Spring, 2014 1 / 27 Counterparty Risk Counterparty risk is the risk that a counterparty in a nancial contract defaults prior to the maturity of the contrac
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Derivatives Lecture 10: Base Correlation and Copula Models Instructor: Xuedong He Spring, 2014 1 / 40 Implied Correlation Given a pricing model, e.g., Gaussian latent variable model, the correlation can be calibrated from the market pri
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Risk and Credit Derivatives Lecture 9: The Gaussian Latent Variable Model Instructor: Xuedong He Spring, 2014 1 / 77 Introduction To price correlation products, it is crucial to model the correlation What is a good model? Easy to comput
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Risk and Credit Derivatives Lecture 08: Correlation Products Instructor: Xuedong He Spring, 2014 1 / 24 Correlation Products Since 2004, the credit derivatives market transformed itself from a primarily singlename only market to a more
School: Columbia
Course: Credit Risk
IEOR E4731: Credit Derivatives Lecture 07: Options on CDS Portfolio Indices Instructor: Xuedong He Spring, 2014 1 / 24 Options on CDS Portfolio Indices A CDS portfolio index option is a bilateral OTC contract to buy or sell a specied CDS portfolio index w
School: Columbia
Course: Analysis Of Algorithms I
School: Columbia
Course: Analysis Of Algorithms I
How do you model the future? Stochastic approach: The future can be modeled as a distribution over possible events. Very successful in many contexts. Alternative: Think of the future as an adversary, do well against all possible future outcomes. Toy Ex
School: Columbia
Course: Analysis Of Algorithms I
NPCompleteness Goal: We want some way to classify problems that are hard to solve, i.e. problems for which we can not nd polynomial time algorithms. For many interesting problems we cannot nd a polynomial time algorithm we cannot prove that no polynomi
School: Columbia
Course: Analysis Of Algorithms I
Graphs Graph G = (V, E) has vertices (nodes) V and edges (arcs) E. Graph can be directed or undirected Graph can represent any situation with objects and pairwise relationships. 1 2 3 4 Representations 1 2 3 4 Adjacency Matrix 1 2 3 4 1 0 1 1 1 2 1 0 0
School: Columbia
Course: Analysis Of Algorithms I
Maximum Flows A ow network G = (V, E) is a directed graph in which each edge (u, v) E has a nonnegative capacity . If (u, v) E, we assume that c(u, v) = 0. We distinguish two vertices in a ow network: a source s and a sink t. A ow in G is a realvalued
School: Columbia
Course: Analysis Of Algorithms I
Minimum Spanning Trees G = (V, E) is an undirected graph with nonnegative edge weights w : E Z + We assume wlog that edge weights are distinct A spanning tree is a tree with V 1 edges, i.e. a tree that connects all the vertices. The total cost (weigh
School: Columbia
Course: Analysis Of Algorithms I
Shortest Paths Input: weighted, directed graph G = (V, E), with weight function w : E R. The weight of path p =< v0, v1, . . . , vk > is the sum of the weights of its constituent edges: w(p) = k i=1 w(vi1, vi) . The shortestpath weight from u to v is
School: Columbia
Course: Analysis Of Algorithms I
12 v2 10 11/ 13 v2 2 v2 3 /16 t 2 v2 3 11 v3 7 9 12 11 s 12 4 (f) v1 13 v4 1 19 t 4 s 11/ 4 11 4 12/12 v4 v3 12 15 v4 v1 9 7 9 8 11 s 5 8 4 (e) v3 11/14 4 8 4 v3 v2 11/14 15/ 20 7/7 s 4 v1 8/12 9 7 t 4 v4 v1 t 4/4 19/ 20 7/7 4 /16 8 8 9 8 9 s v3 8 4 (d) 4
School: Columbia
Course: Analysis Of Algorithms I
20 /16 v1 20 s 4/1 4 v4 3 4 16 v2 6 8/1 s v2 10 4 v4 4 4/1 3 7 t 4/14 8/12 v4 v3 4/4 8/2 0 5 7 t v1 4 4 4 s v3 8 4 (c) 4 9 4 v1 4/2 0 4 12 v3 4/4 7 7 10 8/12 v4 v2 4/14 t 7 v2 v1 4/14 4 5 13 v2 9 4 4 /16 t t 4/ v3 4 4 s 8 v1 12 (b) 14 13 4 v4 9 s 20 4/ t
School: Columbia
Course: Analysis Of Algorithms I
All Pairs Shortest Paths Input: weighted, directed graph G = (V, E), with weight function w : E R. The weight of path p =< v0, v1, . . . , vk > is the sum of the weights of its constituent edges: w(p) = k i=1 w(vi1, vi) . The shortestpath weight from
School: Columbia
Course: Analysis Of Algorithms I
MatrixChain Multiplication Let A be an n by m matrix, let B be an m by p matrix, then C = AB is an n by p matrix. C = AB can be computed in O(nmp) time, using traditional matrix multiplication. Suppose I want to compute A1A2A3A4 . Matrix Multiplicati
School: Columbia
Course: Analysis Of Algorithms I
Longest Common Subsequence A subsequence of a string S, is a set of characters that appear in lefttoright order, but not necessarily consecutively. Example ACT T GCG ACT , AT T C , T , ACT T GC are all subsequences. T T A is not a subequence A common s
School: Columbia
Course: Analysis Of Algorithms I
Disjoint Set Code MakeSet(x) 1 2 p[x] x rank [x] 0 Union(x, y) 1 Link(FindSet(x), FindSet(y) Link(x, y) 1 2 3 4 5 if rank [x] > rank [y] then p[y] x else p[x] y if rank [x] = rank [y] then rank [y] rank [y] + 1 FindSet(x) 1 2 3 if x = p[x] then p[x] F
School: Columbia
Course: Analysis Of Algorithms I
Strongly Connected Components Definition A strongly connected component of a directed graph G is a maximal set of vertices C V such that for every pair of vertices u and v, there is a directed path from u to v and a directed path from v to u. StronglyCon
School: Columbia
Course: Analysis Of Algorithms I
Amortized Analysis Multipop(S, k) 1 2 3 while not StackEmpty(S) and k = 0 do Pop(S) k k1 Binary Counter Increment(A) 1 2 3 4 5 6 i0 while i < length[A] and A[i] = 1 do A[i] 0 ii+1 if i < length[A] then A[i] 1 Table Insert TableInsert(T, x) 1 2 3 4 5 6 7
School: Columbia
Course: Analysis Of Algorithms I
Greedy Consider a set of requests for a room. Only one person can reserve the room at a time, and you want to allow the maximum number of requests. The requests for periods (si, fi) are: (1, 4), (3, 5), (0, 6), (5, 7), (3, 8), (5, 9), (6, 10), (8, 11), (8
School: Columbia
Course: Analysis Of Algorithms I
Randomized Selection Same start as for deterministic selection Select(A,i,n) 1 2 if (n = 1) then return A[1] 3 4 5 p = median(A) 6 L = cfw_x A : x p H = cfw_x A : x > p 7 8 9 if i L then Select(L, i, L) else Select(H, i L, H) Choose pivot p random
School: Columbia
Course: Analysis Of Algorithms I
Human Codes Coding is the problem of representing data in another representation. Typically, we want that representation to be concise. We will encode in binary in this lecture. We call the encoding of a character a codeword . Dierent types of codes xed
School: Columbia
Course: Analysis Of Algorithms I
Quicksort Quicksort(A, p, r) 1 2 3 4 if p < r then q Partition(A, p, r) Quicksort(A, p, q  1) Quicksort(A, q + 1, r) Partition(A, p, r) 1 2 3 4 5 6 7 8 9 10 y random(p, r) Exchange A[y] and A[r] x A[r] ip1 for j p to r  1 do if A[j] x then i i + 1 exch
School: Columbia
Course: Analysis Of Algorithms I
Randomization in Algorithms Randomization is a tool for designing good algorithms. Two kinds of algorithms Las Vegas  always correct, running time is random. Monte Carlo  may return incorrect answers, but running time is deterministic. Hiring Proble
School: Columbia
Course: Analysis Of Algorithms I
Dynamic Programming Wed like to have generic algorithmic paradigms for solving problems Example: Divide and conquer Break problem into independent subproblems Recursively solve subproblems (subproblems are smaller instances of main problem) Combine solut
School: Columbia
Course: Analysis Of Algorithms I
Heap Operations HeapMaximum(A) 1 return A[1] HeapExtractMax(A) 1 2 3 4 5 6 7 if A.heapsize < 1 error heap underow max = A[1] A[1] = A[A.heapsize] A.heapsize = A.heapsize 1 MaxHeapify(A, 1) return max Heap Operations HeapIncreaseKey(A, i, key) 1
School: Columbia
Course: Analysis Of Algorithms I
Sorting restricted ranges of numbers If the range is restricted, we can sort using more than comparisons and swaps. Assume each of the n input elements is an integer in the range 1 . . . k . Sorting restricted ranges of numbers If the range is restrict
School: Columbia
Course: Analysis Of Algorithms I
Basics of Algorithm Analysis We measure running time as a function of n, the size of the input (in bytes assuming a reasonable encoding). We work in the RAM model of computation. All reasonable operations take 1 unit of time. (e.g. +, *, , /, array acc
School: Columbia
Course: Analysis Of Algorithms I
Deterministic Selection Select(A,i,n) 1 2 if (n = 1) return A[1] 3 4 5 p = median(A) 6 L = cfw_x A : x p H = cfw_x A : x > p 7 8 9 if i L Select(L, i, L) else Select(H, i L, H) Deterministic Selection (2) Select(A,i,n) 1 2 if (n = 1) return A 3 Sp
School: Columbia
Course: Analysis Of Algorithms I
Strassen's Algorithm To Compute r s t u Calculations P1 = a(g  h) P2 = (a + b)h P3 = (c + d)e P4 = d(f  e) = ag  ah = ah + bh s = P1 + P2 = ce + de = df  de t = P3 + P4 P5 = (a + d)(e + h) = ae + ah + de + dh P6 = (b  d)(h + f ) = dh  df + bh + bf
School: Columbia
School: Columbia
School: Columbia
IV. Pedro Paramo Essay A utopia has become amongst many things a religious ideal that can be achieved by leading a moral life. Furthermore, utopia is perfect living, life is blissful, all people are accounted for, and true clarity is achieved. In co
School: Columbia
Course: Intro To Comparative Ethnic Studies
Please write 57, doublespaced pages at 12point font to answer the question. As you make your argument and engage with topics discussed in the texts, specify the time and place that pertain to those topics. Also, be sure to cite from at least 7 texts fr
School: Columbia
Course: Intro To Comparative Ethnic Studies
As the complexion of the sky grows nearer to mine (read: black), the flexibility of my wardrobe quickly returns to its unnatural state of rigidity. Sure, I could proudly raise that particularly long finger, nestled between index and ring, and wear my all
School: Columbia
Course: Evolution Of Consciousness/Intelligence
To what extent do animal species differ qualitatively with respect to their intelligence? Justify your answer with examples. Intelligence n. (2): the ability to apply knowledge to manipulate one's environment or to think abstractly as measured by objectiv
School: Columbia
Course: Evolution Of Consciousness/Intelligence
To what extent do animal species differ qualitatively with respect to their intelligence? Justify your answer with examples. Intelligence n. (2) : the ability to apply knowledge to manipulate one's environment or to think abstractly as measured by objecti
School: Columbia
Course: Intermediate Spanish II
Trabajo Escrito 2 Nnamdi Nwaezeapu Seor Correa, La nica manera en lo que uno puede sentir la emocin de / felicidad es por sentir la emocin de / tristeza. Yo, como ti, comprendo que uno puede buscar felicidad despus de haber sufrido una vida malo. Por esta
School: Columbia
Course: Intermediate Spanish II
Nnamdi Nwaezeapu El Narcotrfico La raza humana ha experimentado con varias drogas desde el principio los tiempos. Alcohol, cocana, herona, meth, marihuana, MDMA, todas estas drogas se han utilizado en la historia humana. Y cada ao, los gobiernos del mundo
School: Columbia
Course: Intermediate Spanish II
Nnamdi Nwaezeapu Trabajo Escrito 3 TTULO? El imparable Obama latino. Este era el ttulo de un artculo por Emilio J Blasco en 2012. A pesar del hecho que El partido Republicano se aprob leyes como, prohibiendo el estudio de mexicano americano literatura, pe
School: Columbia
Course: University Writing
NnamdiNwaezeapu KateDaloz UniversityWriting 28March2012 ExploratoryDraft 1. Quotes: a. Quote1:Peopledontgenerallyengageinmoralreasoning,Haidt,argues, butmoralrationalization:theybeginwiththeconclusion,coughedupby anunconsciousemotion,andthenworkbackwardto
School: Columbia
Course: University Writing
NnamdiNwaezeapu KateDaloz UniversityWriting 21March2012 Pinkersarticle,TheMoralInstinctexaminesthequestionofwhetherourmoralityas humanbeingsishardwiredintoourgenesorislearnedculturally.Throughhisengagementwith thisquestionhedelvesintoidealsaboutthewaysinw
School: Columbia
Course: University Writing
WORD COUNT: 1587 Nnamdi Nwaezeapu Kate Daloz University Writing 3 February 2012 His arms flailed purposefully. His loud words strained for a level of bass that swirled around at the bottom of his heart. My peers and I trembled and watched stoically as his
School: Columbia
Course: University Writing
1/3gradelate NnamdiNwaezeapu KateDaloz UniversityWriting 8May2012 TheMoralityofAlabamajudgeoverride Youhavejustmurderedaman.Attheendofyourtrial,all12jurorsdecidethat insteadofyougettingthedeathpenaltythatyoushouldgetlifeinprison.Butthejudge looksoveratyou
School: Columbia
Course: University Writing
NnamdiNwaezeapu KateDaloz UniversityWriting 3May2012 ThefirststoryIeverwroteexaminedthepowerdynamicbetweenadominant archetypeandasubordinatearchetype,throughasimplisticquestionandanswerdialogue thatproducedcomplexyetfruitfulinsightintothehumanunderstandin
School: Columbia
Course: University Writing
NnamdiNwaezeapu KateDaloz UniversityWriting 14April2012 AlabamaisoneofthreestatesintheUSthathasarathersurprisingnuancetoits capitalpunishmentlaw:Judgeoverride.Judgeoverrideforcapitalpunishmentlaws dictatesthatelectedJudgeshavethecapabilitytodisregardthede
School: Columbia
Course: Introduction To Philosophy
Could a computer think? That is, is it possible in theory, if not in practice, for a computer to not only simulate mental behavior but actually have a mind? Is being able to perform certain functions (e.g. passing the Turing test) sufficient for having a
School: Columbia
Course: MASTERPIECES OF WESTERN ART
Nnamdi Nwaezeapu Kathryn Chiong Art Hum 08 April 2014 A Humble God The Forge by Francisco de Goya ya Lucientes places the viewer at a careful distance from what appears to be three men working, in a tight semi circle, around a small black cauldron filled
School: Columbia
Course: MASTERPIECES OF WESTERN ART
A temple of spirit. a monument. The structures of The NotreDame of Amiens Cathedral (Amiens) and The Solomon R. Guggenheim Museum (The Guggenheim) each serve dual functions; they are both monuments to powers larger than ourselves and functional spaces th
School: Columbia
Course: Frontiers Of Science
NnamdiNwaezeapu MelindaHan FrontiersofScience 28November2011 Drunkvs.Stoned:WithwhomshouldIgohome Addictive.Deadly.Wonderful.Unnecessary.Relaxing.Theseareallwordsthatareused todescribetwosubstances:AlcoholandMarijuana.Thoughthesedrugsdifferinmethodof tran
School: Columbia
Course: Contemporary Western Civilization
Amanda Perry Contemporary Civilization 04/29/2013 1page essay Woolf But there is no absolute point of view? Can we not find somewhere written up in letters of fire or gold, This is right. This wrong?a moral judgment which we must all, whatever our differ
School: Columbia
Course: Contemporary Western Civilization
Amanda Perry Contemporary Civilization Fanon 1page essay 04/24/2013 decolonization is quite simply the substitution of one species of mankind by another. The substitution is unconditional, absolute, total, and seamless. (1) Decolonization is the encounte
School: Columbia
Course: Contemporary Western Civilization
Amanda Perry Contemporary Civilization 05/01/2013 1page essay Foucault (1) The first was the disappearance of punishment as a spectacle. The ceremonial of punishment tended to decline; it survived only as a new legal or administrative practice. (Foucault
School: Columbia
Course: Contemporary Western Civilization
Amanda Perry Contemporary Civilization Du Bois Seminar Paper April 22, 2013 Du Bois Notion of Progress and Civilization W.E.B. Du Bois published this series of essays nearly forty years after the Emancipation Proclamation and the end of the Civil War. In
School: Columbia
Course: Contemporary Western Civilization
Amanda Perry Contemporary Civilization 04/22/2013 1page essay Freud (2) Thus the content of a repressed image or idea can make its way into consciousness, on condition that it is negated. Negation is a way of taking cognizance of what is repressed; indee
School: Columbia
Course: Contemporary Western Civilization
Amanda Perry Contemporary Civilization March 25, 2013 1page essay (Burke) Circumstances (which with some gentlemen pass for nothing) give in reality to every political principle its distinguishing colour, and discriminating effect. The circumstances are
School: Columbia
Course: Contemporary Western Civilization
Amanda Perry Contemporary Civilization 04/01/2013 1page essay The separate individuals form a class only insofar as they have to carry on a common battle against another class; otherwise they are on hostile terms with each other as competitors. On the ot
School: Columbia
Course: Introduction To Philosophy
1st Paper Assignment for Introduction to Philosophy, Spring 2014 Write a short essay (about 1000 words, typed, doublespaced) in response to one of these two prompts: (1) Could a computer think? That is, is it
School: Columbia
Course: Introduction To Philosophy
2nd Paper Assignment for Introduction to Philosophy, Spring 2014 Write a short essay (1200 1500 words, typed, doublespaced) in response to one of these two prompts: (1) Explain and critically assess the form of
School: Columbia
Course: Introduction To Philosophy
Nnamdi Nwaezeapu Dr. Elliot Paul Introduction to Philosophy 7 April 2014 COULD A COMPUTER THINK? Could a computer think? That is, is it possible in theory for a computer to not only simulate mental behavior but actually have a mind. Philosopher John Searl
School: Columbia
Course: Introduction To Philosophy
Nnamdi Nwaezeapu Dr. Elliot Paul Introduction to Philosophy 28 April 2014 Utilitarianism: Idealistic but Unrealistic Nnamdi Nwaezeapu John Stuart Mill takes on the task of trying to create a universal moral code for humans to follow in his work Utilitaria
School: Columbia
Music Humanities Sonata Form Essay 8/20/14 1. Group 1 starts at 0:00 and ends at round 0:20 2. The transition starts at 0:20 and ends at 0:22 3. Group 2 starts at 0:22 and goes until 0:43 4. The closing picks up right after at 0:43 and ends at 0:48. And a
School: Columbia
Course: MASTERPIECES OF WESTERN ART
A temple of spirit. a monument; A Structural Analysis of The Solomon R. Guggenheim Museum and The NotreDame of Amiens Cathedral Nnamdi Nwaezeapu Kathryn Chiong The structures of The NotreDame of Amiens Cathedral (Amiens) and The Solomon R. Guggenheim Mu
School: Columbia
Course: MASTERPIECES OF WESTERN ART
Nnamdi Nwaezeapu Kathryn Chiong Art Hum 5 May 2014 Labeled: An examination of Campbells Soup Cans by Andy Warhol Andy Warhols painting, Campbells Soup Cans, is a simple idea but carries a lot of meaning in an understated way. Thirtytwo Campbells soup can
School: Columbia
Course: MASTERPIECES OF WESTERN ART
Italian philosopher, painter, and scientist, Leon Alberti, believed that the process of painting could be divided into three parts: circumscription, composition, and reception of light. In his work, On Painting, Alberti provides the reader with a detailed
School: Columbia
Course: Frontiers Of Science
Term Paper Guidelines For this assignment you will report on a scientific article of your choosing. Your paper should show that you understand the articles conclusions, the evidence presented in support of those conclusions, and how the findings bear on t
School: Columbia
Course: Intro To Film
The Thin Blue Line: Documentary Filmmaking and Social Change When the film, The Thin Blue Line, came out in 1988 it grabbed national attention, won critical acclaim and effected social change. The investigative documentary, from director Errol Morris, was
School: Columbia
Course: Intro To Film
AnalysisofThePiano AnalysisofThePiano The1993film,ThePiano,centersonthelifeofamutewomanwhoissent halfwayacrosstheworldtomarryamaninNewZealand.Ada,theprotagonist,struggles inhernewlife;shecannotfindlovewithherhusband,Alistair,andshesuffersfrom extremeisola
School: Columbia
Course: MASTERPIECES OF WESTERN LITERATURE
Lacy Russell Literature Humanities Paper Topic #3 Human Suffering Heaven, barren as the Sahara with just the right amount of sun and bright white clouds that never rain, awaited both Job and Oedipus at the end of their lives. Eventually they stumble upon
School: Columbia
Course: MASTERPIECES OF WESTERN LITERATURE
Lacy Russell Literature Humanities Paper Topic #2 The Comedy Connection: Vulgarity, Absurdity, and Reality Both Aristophanes Lysistrata and Platos Symposium utilizes comedic language to allow absurdity into reality as well as to connect the audience membe
School: Columbia
3.897 21 122 99 3.885 14 132 71 3.778 28 119 95 2.540 22 99 75 3.028 21 131 46 3.865 31 139 77 2.962 32 113 85 3.961 27 136 99 0.500 29 75 13 3.178 26 106 97 3.310 24 125 69 3.538 30 142 99 3.083 24 120 97 3.013 24 107 55 3.245 33 125 93 2
School: Columbia
Course: Literature Humanities
SUMMARY On Repentance Montaigne begins this chapter by stating that his project is concerned with portraying the entire man. He says that he is the first author concerned with himself not simply in one facet of his life, but in the whole. He says that in
School: Columbia
Course: Literature Humanities
StudyGuidefortheEssaysPartOne PlotSummary/Majorthemes TotheReader: Byaddressingthereader,theauthorassumesthathemustjustifyhisreasonsforwritingandexplainwhyhehasthe authoritytowriteeventhoughhewasnotinspiredbyamuseorbygod.Hewritesoriginalideasunlikepreced
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Course: Contemporary Western Civilization
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Course: Contemporary Western Civilization
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Course: Muslims In Diaspora
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Course: Muslims In Diaspora
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Course: Muslims In Diaspora
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Course: The Sociology Of Gender And Education
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Course: Hinduism
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Course: Hinduism
Das Mouri Das Professor J Hawley Hinduism Feb 25, 2013. Tat tvam asi In this era of 21 century when it seems impossible to be part of society without st surrendering ourselves to innovative invention of wireless communication, it seems less possible to co
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Course: Hinduism
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Course: Intermediate French II
Alyce Ge uni: cg2721 C'etait un apresmidi calme d'un jour paisible en septembre 1917. Assis autour d'une table ronde, noiifctaient deux amis : Leon Trotsky et Vladimir Lenin. Les deu^mi3S de la vodka en s'amusant a se rappeler leur histoire ensemble. Mon
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Course: Intermediate French II
A Alyce Ge Uni: cg2721 L'enfance est un age ravissant: sans responsabilite, sans stress, sans pression de la societe. Les parents font la lessive, les courses, la cuisine, et quelques parents nettoient la chambre pour leurs enfants. Les adultes abaissent
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Course: Frontiers Of Science
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Course: Masterpieces In Western Literature
Lucifer in the Battle between Good and Evil Throughout Inferno, Dante Alighieri creates a world of arbitrary hierarchy of sin based on his own religious and political beliefs. According to Dante, the ninth and innermost circle of Hell contains the worst s
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Course: Masterpieces In Western Literature
How to Live Forever: Achieving Immortality in The Iliad and The Gospel According to John Oh how wrong we were to think immortality meant never dying, My Chemical Romance sings in their popular song Our Lady of Sorrows. They are right; as far as popular sc
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Course: Masterpieces In Western Literature
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Course: University Writing
As citizens of an informed democracy, we are bombarded with public statements, press releases, and other media from our elected officials. It can be inundating; why do politicians say what they do in particular ways? what does that discourse say about the
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Course: University Writing
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Course: ADVANCED ENGINEERING
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Course: Symbolic Logic
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Course: Linear Regression Models
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Course: Introduction To Financial Engineering
Date Open High Low Close Volume Adj Close Ri Rbar squared(RiRbar) 1173.78 1217.33 1173.78 1211.92 1.4E+009 1211.92 0.013872 0.000775 0.0002145429 1130.2 1188.46 1127.6 1173.82 1.5E+009 1173.82 0.016446 0.0002965641 1114.58 1142.05 1090.29 1130.2 1.6E+00
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Course: Introduction To Financial Engineering
IEOR E4709 Data Analysis for Financial Engineers Xuedong He, Spring 2014 Supplemental Notes to Lecture Notes 11 1 Sample AutoCorrelation Function Let cfw_Xt be a stationary time series. Denote as the common mean of Xt and (h) as its autocovariance func
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Course: Introduction To Financial Engineering
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Course: Introduction To Financial Engineering
IEOR E4709 Data Analysis for Financial Engineers Xuedong He, Spring 2014 Supplemental Notes to Lecture Notes 09 and 10 1 A Dierent Formulation of MV Problems Suppose an agent can invest in a riskfree asset with return rate r and N risky assets with retur
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IEOR E4709 Data Analysis for Financial Engineers Xuedong He, Spring 2014 Supplemental Notes to Lecture Notes 07 and 08 1. Graphic representation of meanvariance analysis We rst consider the case of no riskfree assets. As a result, each portfolio N is re
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Course: Introduction To Financial Engineering
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IEOR E4709 Data Analysis for Financial Engineers Xuedong He, Spring 2014 Supplemental Notes to Lecture Notes 11 1 Sample AutoCorrelation Function Let cfw_Xt be a stationary time series. Denote as the common mean of Xt and (h) as its autocovariance func
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Course: Introduction To Financial Engineering
IEOR E4709 Data Analysis for Financial Engineers Xuedong He, Spring 2014 Supplemental Notes to Lecture Notes 12 1 Casuality and Invertibility of ARMA models An ARMA(p, q) model p q rt i rti = at + j atj , i=1 tZ (1) j=1 is casual if rt can be written as
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Course: Introduction To Financial Engineering
Financial Data Analysis Professor S. Kou Department of IEOR, Columbia University Lecture 14. ARCH and GARCH models 1 Fitting the ARCH Model _ 1.1 Splus Implementation #_ spxArch < garch(rSpx ~1, ~garch(9,0) #fit arch(9) model spxArch #_ Call: garch(formu
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Course: Introduction To Financial Engineering
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Course: Introduction To Financial Engineering
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Tuesday, April 22, 2014 4:08 PM New Section 44 Page 1 New Section 44 Page 2 New Section 44 Page 3 New Section 44 Page 4 New Section 44 Page 5 New Section 44 Page 6 b New Section 44 Page 7
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Course: Introduction To Financial Engineering
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Data Analysis for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 10.1. Estimation Risk and Portfolio Selection (II): BlackLitterman Bayesian model 1 The BlackLitterman Bayesian Model Black and Litterman propose a Bayesian model tha
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Data Analysis for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 10.2. Introduction to Dependent Structures of Stock Returns 1 Are Stock Prices Predictable We shall investigate the dependent structure among the time series data of th
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Course: Introduction To Financial Engineering
Data Analysis for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 9. Estimation Risk and Portfolio Selection: (I) Empirical Bayesian Estimators Although the mean variance analysis is a major breakthrough in nance, relatively few peopl
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Data Analysis for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 8. Mean Variance Analysis (II) 1 Optimization Fortunately, due to the simplicity of the mean variance problem, we can also solve the problem 1 min w> Cw w 2 subject to
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Data Analysis for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 6. Bayesian Inference (II) 1 An Example of Bayesian Condence Interval As we have seen before for small sample sizes Bayesian point estimator may make more sense than th
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Course: Introduction To Financial Engineering
Thursday, April 24, 2014 4:12 PM New Section 46 Page 1 New Section 46 Page 2 New Section 46 Page 3 New Section 46 Page 4 New Section 46 Page 5
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Course: Introduction To Financial Engineering
Data Analysis for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 7. Mean Variance Analysis (I) 1 The problem We shall focus on a special case of utility maximization, which is the mean variance analysis. In this special case we are a
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Course: Introduction To Financial Engineering
Tuesday, April 29, 2014 4:12 PM New Section 48 Page 1 New Section 48 Page 2 New Section 48 Page 3 New Section 48 Page 4
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Course: Introduction To Financial Engineering
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Activity 1 Secure funding from Spanish crown 2 Advertise for the positions 3 Columbus hire three ship captains 4 Captains hire their own navigator 5 Juan hires regular crewmembers 6 Inspect and buy boats 7 Make all primary and spare sails 8 Acquire naviga
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The following case represents a realistic situation facing construction firm that has just won a competitive contract. The realistic conditions complicating the project are described in detail, as are the alternatives offered by the staff for dealing with
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Proposal 5 Proposal 1 predicessor start a clearing the site b subsurface drainage c filling for the playing field and track d installation of artificial playing turf e excavation f pouring of concrete footings g pouring of supports for seat galleries h er
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Project Management IEOR E4510 Professor Moshe Rosenwein mbr19@columbia.edu 1 Objectives of the Course Understand the critical tradeoffs and decisions in project management Learn how to select and organize projects Learn how to monitor and control single p
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IEOR 4412 Spring 2014 Per 12 Part 1 4/17/14 2014 Neil R. Ullman IEOR 4412 Lec 12A 1 Today Variables VS Attributes Control Charts Variables Charts review and additional techniques Individual based charts I, Moving Ranges Moving Averages EWMA exponent
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Course: Public Economics
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Value of insurance Suppose the loss is L and occurs with probability p. Expected value of the loss is pL. u(C pL) p u(C L) + (1 p) u(C ) (C vs D on the graph) B Utility Large vs small risk q C How much of consumption is one willing to give up to avoid the
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Course: Public Economics
Types of taxation Taxation in the U.S. Taxation of earnings payroll tax Taxation of individual income Taxation of corporate income Taxes on gifts and estates Wealth and property taxation Consumption taxation excise taxes, sales tax, VAT, other possibiliti
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Course: Public Economics
Summary of the class Public economics and policy debate: example The role of the government is to: Correct market imperfections (failure of the 1st welfare theorem) Externalities, public goods Insurance Redistribute (failure of the 2nd welfare theorem) In
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Course: Public Economics
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Course: Public Economics
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Course: Public Economics
U.S. low income support U.S. low income support Temporary Aid for Needy Families ($31.4 billion in 2012, approximately 4 million recipients in 12/2013) available to low income families with children benets available on a temporary basis no more than 5 yea
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Course: Public Economics
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Course: Public Economics
Fundamental tax reform (not this years reform) Consumption tax: tax the actual consumption instead of income (potential consumption). Why consider? No saving distortion under consumption tax Consider budget constraint (1 + t C )C1 + consumption in dierent
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Course: Corporate Finance
2/18/2014 Lecture 7 Understanding Financial Statements PSet 2 PSet 2:DueMonday 1 2/18/2014 PSet 1 and Case 1 IwillhandbackPSet 2andCase1todayafterclass. HomeworknotpickedupinclasswillbekeptinBox 42andBox43inRoom1022(EconDept)IAB10th floor. Wewillsendan
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Course: Corporate Finance
4/21/2014 Lecture 24 Leveraged Buyout Valuation: HCA 2006 Lecture24 The Homestretch Howmucharefuturecashflowsworth? Whatarethefirmsexpectedfuturecashflows? Whatistheappropriatediscountrate? Howshouldthefirmbefinanced(debt/equity)? ValuationCases Lecture22
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Course: Corporate Finance
Lecture 20 American Home Products Lecture 20 Looking ahead This weeks review session Covers American Home Products Monday, April 14 Problem set 4 due You know everything you need to do it All materials are posted Individual assignment Lecture 20 How to
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Course: Corporate Finance
3/22/2014 Lecture 15 Safeway Estimating WACC Lecture15 Help My Friend Hi!Ihaveafinancequestionforyou.Ishouldprobablyknow theanswersinceIworkinfinance.butI'mnotsure,andfigured youwouldknow. So,mydadhasaclientwhoisgoingtobepaid(Ithinkbythe governmentoranemp
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Lecture 22 Buckeye Computer Inc. Lecture 22 The Homestretch How much are future cash flows worth? What are the firms expected future cash flows? What is the appropriate discount rate? How should the firm be financed (debt/equity)? Valuation Cases Lecture
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Course: Corporate Finance
3/4/2014 Lecture 12 Clarkson Part II Ourfirstvaluationcase! Our first valuation case! Lecture12 Problem set 3 PS3isdueonMonday,March10 Lecture12 1 3/4/2014 III.a. Multiples: The Basics Valuationmultiplesareawayofestimatingfirm/projectvalue usingthemarke
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Lecture 9 Free Cash Flow Clarkson 1 We will discuss Clarkson I on Monday Application of material in todays lecture All materials are posted on CourseWorks You do not have to hand in anything but it is crucial to be prepared Read the case Try to solve th
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3/4/2014 Lecture 11 Residual Value and Multiples Lecture11 1 Review Session Excelreviewsession#2 Questionsanddatasheetalreadyposted Solutionswillbepostedafterthereviewsession ThisFriday:10am 11:30am,Uris141 Lecture11 2 1 3/4/2014 Clarkson 2 and Proble
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Course: Corporate Finance
3/28/2014 Lecture 18 Debt, equity and capital structure: The M&M theorems Lecture18 How to Value a Firm: The Course Roadmap Howmucharefuturecashflowsworth? Whatarethefirmsexpectedfuturecashflows? Whatistheappropriatediscountrate? Howshouldthefirmbefinance
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Course: Corporate Finance
3/25/2014 Lecture 17 American Chemical Corporation Lecture17 How to Value a Firm: The Course Roadmap Howmucharefuturecashflowsworth? Whatarethefirmsexpectedfuturecashflows? Whatistheappropriatediscountrate? Lecture11: Riskandreturn(ingeneral):TheCAPM L
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Course: Introduction To Philosophy
LOGICREVIEW Thesearethelogicalconceptsyoulldefinitelywanttogetahandleonthisweek: Proposition Argument Deductive Inductive Valid Sound (Inductively)strong (Inductively)cogent Beggingthequestion(circularreasoning) Apriori Aposteriori Itwouldbeabo
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Section 8 ASSET ALLOCATION MULTIFACTOR MODELS Factor Models Market Constant Risk factors Exposures Residuals Factor Models Market Constant Risk factors Exposures Residuals Factor Models Systematic + Idiosyncratic Systematic + idiosyncratic factor model Fa
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Section 7 ASSET ALLOCATION MULTIVARIATE STATISTICS Multivariate Statistics 1. Distribution taxonomy 2. Representations: 1. 2. 3. 4. Probability Density Function Cumulative Density Function Quantiles Scenarios and probabilities 3.  Spectral theorem / cova
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Linear and nonlinear factor models The volatilities of stock returns Rmy Chicheportiche e 24 Feb. 2014 Linear Factor Model Covariances matrix and portfolio variance risk Risk of optimized portfolios Toy model: 1 factor Multifactors model Estimating the
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Course: Stochastic Models For FE
IEOR 4701 Stochastic Models in FE Practice Final Midterm Lecturer: Jose Blanchet Maximum 100 points. Provide as clear and concise answers as you can for the questions below. Clarity will be evaluated as part of the grade. 1. (50 points) Let us recall the
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Course: Stochastic Models For FE
IEOR 4701 Midterm Exam: Summer, 2012 (Thursday August 2) Open class notes, closed books: 2 hours. (Professor K. Sigman) 1. (30 points, 10 each). An assets price moves according to a simple random walk with p = 0.6, and an initial price of 2. (a) What is t
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Course: Stochastics
IEOR4106 Intro to OR  Stoch Models David D. Yao, Fall 2008 Midterm Examination (Part I; 75 minutes) Please return this sheet together with your solutions. All problems are equally weighted. 1. X and Y are two discrete random variables, with the P[X = i,
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Course: Production Planning
IEOR E3402: Midterm 1 1. (4 points) Nick earned $5000 during his summer internship last year. He deposited his summer income in a Crown Bank savings account, which has an interest rate of 3% per year. Unfortunately Crown Bank does not have any ATM machine
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Course: Intro To Deterministic Models
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Course: Inermediate Macroeconomics
Page 1 Test 1 Solutions Intermediate Macro Part I: SHORT ANSWER QUESTIONS 1. Briefly state what the following terms mean: (3) (a) Gross Domestic Product (GDP) GDP is the total income earned domestically in a given year. It is also the value of fin
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abstraction Abstraction refers to the separation of the highlevel view of an entity or an operation from the lowlevel details of its implementation. accessor method A method that provides readonly access to a particular file. ACK  acknowledgeme
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IEOR4106 Intro to OR  Stoch Models David D. Yao Practice Final Examination (150 minutes) All problems are equally weighted. 1. Let Sn be the number of points after rolling an unbiased die n times. Let Xn = Sn mod k where k = 6 (i.e., Xn is the remainder
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Normal Task B C D E F G H I CP CFHI CFHI CFHI CFHI BDGI CFHI BDGI Duration 10 8 12 10 14 7 9 6 Makespan 37 36 35 34 33 Cost 100 80 120 100 140 70 90 60 Cost 760 780 800 820 850 Duration 9 7 10 7 12 5 6 5 Crash I5 H8 H7 H6 B9 Cras
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Course: Game Theoretic Models For Operations
IEOR E4407: Game Theoretic Models for Operations Sample Final (Fall 2011) 1. Esther and Tanya wish to have dinner together. They have two options: dinner at Ollies (O) or at the Terrace (T). Esther rst chooses where to go; Tanya observes Esthers choice an
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IEOR 4404 Simulation Prof. Mariana OlveraCravioto Practice Midterm Exam October 7, 2008 Page 1 of 10 Practice Midterm Exam Place all answers on the question sheet provided. The exam is open book/notes/handouts/homework. You are allowed to use a calculato
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Course: Introduction To Operations Research: Stochastic Models
IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2005, Professor Whitt, Second Midterm Exam Chapters 56 in Ross, Thursday, March 31, 11:00am1:00pm Open Book: but only the Ross textbook plus one 8 11 page of notes Justify your ans
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IEOR 3106 Solutions to Midterm Exam I 1. (40 points) A small business sells professional digital cameras one by one. On any given day, either a camera is delivered to them from the factory (causing the inventory level to go up by 1) with probability
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Course: Databases
Write Your UNI & Name: COMS4111 Introduction to Databases, Spring 2011, Midterm Exam Professor Alex Biliris DURATION: 1 hour and 30 minutes Nothing should be on your desk except this exam. No books/notes/calculators/phones/scratchpads, etc. Problem : Max
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Course: Communication Theory
E6712: Midterm Exam  Solutions (Total 100 points) Given: March 22, 2005 1. Consider the following vector channel detection problem. There are three possible signals: s1 = cfw_ 1 , 0, s2 = cfw_ 1 /2, 3 1 /2, s3 = cfw_ 1 /2, 3 1 /2, The received signal
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Course: Introduction To Probability & Statistics
Sample Final for StatIEOR 4150 Facts: z.05 = 1.645, z0.025 = 1.96, t.05,8 = 1.860. For n 30 t,n z . 1. A sample X1 , X2 , . . . , Xn1 is to be drawn from a normal population with mean x and variance 2 x . A second sample Y1 , Y2 , . . . , Yn2 is to be dr
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IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2004, Professor Whitt First Midterm Exam: Thursday, February 19 Chapters 14 in Ross, SOLUTIONS Justify your answers; show your work. 1. Satisfaction Survey (25 points) In its n
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Course: Computer Networks
Final CSEE W4119  Computer Networks Fall 2010 Sample Final Four questions, attempt all. Write your name clearly on the blue book. 100 points, two hours Vishal Misra 1. (60 points) Multiple Choice Questions: Choose all the correct answers (a) IP. During n
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Course: Intro: Stochastic Models
IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2009, Professor Whitt, SOLUTIONS to the Final Exam Chapters 47 and 10 in Ross, Tuesday, May 12, 9:00am12:00noon Open Book: but only the textbook, the CTMC notes and three pages of
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IEOR 4106 Midterm Exam. Open text book and class notes; 1.5 hours. 100 Points total 1. (35 points) Voice messages are made from a cell phone according to a Poisson process at rate 8 per hour, and independent of this, text messages are sent from the p
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Course: Communication Theory
Communication Theory (E6712) Columbia University, Spring 2005 May 10, 2005 Final Exam 1. Compare the constellation shown in the gure below to a standard 16QAM constellation and determine which one performs better in an AWGN channel and by how many dBs, f
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Course: Intro To Modern Analysis II
Modern Analysis, Exam 1 Possible solutions 1. (a) Suppose that fn does not converge uniformly to f on K . Then there is > 0 such that for all n N, there exists mn N and a point, call it xmn K , such that fmn (xmn ) f (xmn ) . Clearly we may assume that
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Solutions to Exam #1  ST 8533: Applied Probability Spring, 2001 February 29, 2001 Directions: Answer all questions precisely and completely. To receive full credit, you must define all notation, and show a reasonable amount of work. 1. (20 points) G
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Course: Microwave Circuit Design
Name: Midterm test EE6318 2013 /20 Problem 1 The measured input reflection (S11) of a oneport is 0.4+j0.2 (impedance of measurement system is 50). /4 a) Put this reflection on th S ith Ch t with characteristic impedance 50 ) P t thi fl ti the Smith Char
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Course: Intermediate Microeconomics
Solutions for Sample Final Questions Problem 1 Fall 2008 Suppose that the following production function represents a firm's ability to manufacture pencils: f(L,K) = 31/2K1/4L1/4. a) Show that this production function exhibits decreasing returns to
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Course: Programming Languages And Solutions
Department of Computer Science Columbia University Sample Midterm COMS W4115 Programming Languages and Translators Wednesday, March 24, 2010 Closed book, no aids. Do questions 15. Each question is worth 20 points. Question 5(c) is extra credit, 10 points.
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Course: Intro To Modern Analysis II
Intro to Modern Analysis Summer MMXI Final Exam Name DIES LVNAE AD VII KAL AVG MMDCCLXIV Do all problems, in any order. Explain all answers. An unjuified response alone may not receive full credit. No notes, texts, or calculators may be used on this exam.
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Course: Intermediate Microeconomics
Sample Problems for the Final Exam NOTE: This is not the format of the final the final exam will have two parts. Part One will consist of 4 required questions and Part II will consist of 2 questions and you will have to select one of them. 1. Suppo
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Course: Introduction To Operations Research: Stochastic Models
IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2005, Professor Whitt, Final Exam Chapters 47 and 10 in Ross, Tuesday, May 10, 9:00am12:00noon Open Book: but only the Ross textbook plus three 8 11 pages of notes Honor Code: Stud
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Course: Stochastics
IEOR4106 Intro to OR  Stoch Models David D. Yao Sample Midterm Examination 150 minutes All problems are equally weighted. 1. The joint density of X and Y is f (x, y ) = 1 x/y y e e, y 0 < x < , 0 < y < . Derive E(X ), Var(X ), and Cov(X, Y ). 2. Let cfw_
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Course: Intermediate Microeconomics
1 Sample Midterm Instructions: Do all questions in Part I. Answer 1 question in Part II. Part I Answer all questions in Part I. 1. New York State allocates its $1 million transportation budget between maintenance of rail lines and maintenance of high
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Course: Introduction To Statistics With Calculus
W1211 Introduction to Statistics Midterm Exam Oct 20, 2006 Name (write clearly!): 1. Please print your name in the above space. 2. This is a 2 hr examination. Plan your time accordingly. 3. This is a closed book examination. You are allowed to have
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Course: Programming Languages And Solutions
Department of Computer Science Columbia University Final Examination COMS W4115 Programming Languages and Translators Monday, April 30, 2012 2:403:55pm, 309 Havemeyer Closed book, no aids. Do questions 15. Each question is worth 20 points. Question 6 is
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Course: Stochastics
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Course: Principles Of Econ
W1105.002 Principles of Economics Fall 2007 Prof. Musatti Midterm Exam Solutions Section 1 1. a. b. c. d. Which of the following is a common resource? an ordinary toothbrush. the electricity produced by a stateowned monopolist fish in the ocean ho
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Course: Intro To Econometrics
Department of Economics Columbia University Economics W3412 Fall 2010 SOLUTIONS TO Final Exam Section 1 Instructions 1. Do not turn this page until so instructed. 2. Please put your answers in the space provided under each question. 3. You are permitted t
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Course: Intermediate Microeconomics
Department of Economics Columbia University Intermediate Microeconomics W3211 Fall 2011 S O L U T I O NS T O P R A C T I C E E xam P r of . Se y h a n E r d e n A r k on a c I n s t r u c t i o ns 1. Do not turn this page until so instructed. 2. Please p
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Course: Intermediate Microeconomics
Department of Economics Columbia University Intermediate Microeconomics W3211 Fall 2011 P R A C T I C E E xam P r of . Se y h a n E r d e n A r k on a c I n s t r u c t i o ns 1. Do not turn this page until so instructed. 2. Please put your answers in th
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U6310 Nonprofit Financial Management (Fall 2013), Prof. Sarah M. Holloway The School of International and Public Affairs, Columbia University U6310 SCHOOL OF INTERNATIONAL AND PUBLIC AFFAIRS NONPROFIT FINANCIAL MANAGEMENT FALL 2013 F
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Course: Corruption In Critical Perspectives
1. Essay a. 2. Quotation Identification and Exegesis a. The Public sphere, the Bureaucratic State, and the Common Good a.i. 1. Men are the producers of their conceptions. a.i.1. Author: Karl Marx a.i.2. Work: The German Ideology a.i.3. In this work Marx w
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Course: Intermediate Spanish II
America Latina en Nueva York p or nnamdi nwaezeapu y matthew arciniega Bocadillo (n): Una palabra con varias definiciones Bocadillo, Bocadillo, o Bocadillo? Los 70s y 80s de Amsterdam El barrio Amsterdam Ave 78th & Amsterdam  1976 78th & Amsterdam 2010 L
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Course: Frontiers Of Science
Final Study Guide DISCLAIMER: These questions do not contain all of the information from lectures that you are expected to know. They indicate the principal topics with which you should be familiar. Neuroscience Week 1 Your Brain: What and How? 1. What ar
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Course: Public Economics
Final Exam Practice Problems: Solutions May 8, 2014 Question 1 EI = 0.9[EV ADE] + 0.1[AU DIT ] = 0.9[0.8(y E) + E] + 0.1[0.8y f E]. This (0.18 0.1f )E + 0.8y . Expected income will therefore be higher as E rises, unless the sets 0.18 0.1f 0 f $1.80. Expec
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Course: Econometrics
Introduction to econometrics  Past midterms Solutions October 17, 2011 1 Fall 2009 Question 1 1. To get the marginal probabilities, we just sum the joint probabilities for one event in particular. 3 For instance, P (X = 0) = y=1 P (X = 0, Y = y) = 0.06 +
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Course: Econometrics
Midterm Solutions Spring 2013 1. a) P (Y = 1) + P (Y = 1) = 1 0.4 + + 0.15 + 0.25 = 1 = .2 The same result would have been obtained using: P (X = 1) + P (X = 1) = 1. Similarly, the same result would have been obtained using the sum of joint probabilities:
School: Columbia
Course: Probability
IEOR E3658 Practice Midterm 2 Probability: Practice Midterm 2 Fall 2013 November, 2013 Solutions UNI: Name: Instructions Please write your answers on the question sheets. Answers written on scrap paper will not be evaluated. Show and explain your work. Po
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Course: Probability
IEOR E3658 Midterm 2 Fall 2013 Probability: Midterm 2 Solutions November, 2013 1. (30 points) Let U U nif (0, 1). We dene a new random variable Y by Y = ln (1 U ) (a) (10 points) What is the range of the random variable Y ? In other words, what values can
School: Columbia
Course: Probability
IEOR E3658 Practice Final  Solution Fall 2013 Remark 1. Notice that these are suggested solutions. There are more than one (correct) way to reach to the solution. 1. A class has N slots available, which will be lled on a FirstComeFirstServe basis. Eac
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Course: Probability
IEOR E3658 Midterm 1  Solutions Fall 2013 Probability: Midterm 1  Solutions 1. Three dierent machines M1 , M2 and M3 were used for producing a large batch of staplers. Suppose that 20% of the staplers were produced by machine M1 , 30% by machine M2 and
School: Columbia
Course: Probability
IEOR E3658 Practice Midterm 1  Solutions Fall 2013 Probability: Practice Midterm 1  Solutions October, 2013 Name: UNI: Instructions Please write your answers on the question sheets. Answers written on scrap paper will not be evaluated. Show and explain
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Course: Probability
IEOR E3658 Final Solutions Fall 2013 1. (20 points) Maria has invited 20 of her friends to a dinner party. She plans to serve three dierent menus consisting of: sh, chicken, and beef. About 50% of the population prefers beef, 20% chicken, and 30% sh. In a
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Course: Introduction To Philosophy
1. What is substance dualism ? What arguments do Ren Descartes and Richard Swinburne each offer in support of substance dualism? Do you find these arguments convincing? Why or why not? Substance Dualism is the thesis that the mind and the body are distinc
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Course: Credit Risk
IEOR E4731 Credit Risk and Credit Derivative Xuedong He, Spring 2011 IEOR E4731 Credit Risk and Credit Derivative Final Exam T Q1 (T ) Duration: 2 hour and 30 minutes Xuedong He, Spring 2011 0.25 0.975 0.5 0.951 0.75 0.928 IEOR E4731 Credit Risk and Credi
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Course: Credit Risk
IEOR E4731 Credit Risk and Credit Derivative Xuedong He, Spring 2011 IEOR E4731 Credit Risk and Credit Derivative Final Exam T Q1 (T ) Duration: 2 hour and 30 minutes Xuedong He, Spring 2011 0.25 0.975 0.5 0.951 0.75 0.928 IEOR E4731 Credit Risk and Credi
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Course: Credit Risk
IEOR E4731 Credit Risk and Credit Derivative Xuedong He, Spring 2011 Final Exam Duration: 2 hour and 30 minutes Return this problem sheet with your solutions. Please explain the reasoning behind your responses: answers will not be considered sucient if th
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Course: Credit Risk
IEOR E4731 Credit Risk and Credit Derivative Xuedong He, Spring 2013 Suggested Solution to Final Exam 1. The results are shown in the following table: =0 =1 =2 =3 =4 m=0 m=1 m=2 m=3 m=4 100% 95% 91.2% 85.728% 79.72704% 0% 5% 8.6% 13.556% 18.60804% 0% 0% 0
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Course: Math Programming
xs xl max 0.1 xs + 0.15 xl 0.7 xs 0.3 xl xl 400 xs + xl 1000 xs xl n1 n2 s1 s2
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Course: Optimization For Financial Engineering
IEOR E4007 G. Iyengar October 15, 2012 Homework #6 Due: Monday, Oct. 22nd. 1. Human resources planning problem A rentacar company operates a rentalagent training program, which students complete in one month. The teachers in this program are trained re
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Course: Intro To Accounting And Finance
Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Solutions to Homework 8 Readings, Problems and Cases II Risk Questions 1. Describe a method for increasing expected returns (increasin
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Course: Math Programming
x1 x2 min 2 x1 + 5 x2 0.3 x1 + 0.3 x2 150 0.1 x1 + 0.3 x2 120 0.1 x1 + 0.15 x2 100 0.1 x1 + 0.2 x2 110 x2 (x1 +x2 ) 2 x1 0 x2 0 xs max 3 xs + 5 xt 2 xs + xt 100 xs + xt 80 xs 40 xs 0 xt 0 xt
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Course: Math Programming
IEOR 3608 HOMEWORK 2 due on September 28 at the start of the midterm 1. p. 115, problem 12 2. p. 139, problem 1 3. Consider the following linear program: max x1 subject to: x1 + x2 2 x1 + x2 8 x1 + x2 4 x1 , x2 0 (a) Graph the feasible region, and nd an o
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Course: Intro To Accounting And Finance
Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Homework 1 Readings and Problems 0. Reading: Breitner and Anthony, Parts 2, 4 and 5. 1. Applications of the Fundamental Accounting Equ
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Course: Stochastic Models For FE
IEOR 4701 Assignment 2 Solution Summer 2011 Question 1: Suppose that (Xn : n 0) is a finite statespace Markov chain. Suppose that B is a given subset of the statespace and define TB = mincfw_n 0 : Xn B. We assume that Pi (TB < ) = 1 for all i B. / Find
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Course: Iyengar
IEOR E4007 G. Iyengar Homework #2 1. Simple problems on simplex Consider a linear program with n = 4 variables and m = 2 constraints. Suppose the current basis B = cfw_1, 2 and the constraints are given by x1 x2 3x3 +3x4 = 6 8x3 +4x4 = 4 For each of the f
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Course: Micro
W3211 Spring 2009 Professor Vogel Homework #2: Due February 10, 2009 Please write your name on the top of every page of your homework (in case they get separated) and please staple all pages together. Where appropriate, you must show all work. If you just
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ECO V3265 Fall 2006 Problem Set #1Balance Sheets (due Friday Sept 21, 4pm, Lehman 4) Perry Mehrling The purpose of this problem set is to investigate the natural hierarchy in balance sheets, a hierarchy that extends from dealers to banks to centra
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Course: Simulation
IEOR E4404 Solutions to Assignment 1 Fall 2011 1. If X and Y are independent Binomial random variables with respective parameters (n, p) and (m, p), argue, without any calculation, that X + Y is Binomial with parameters (n + m, p) n m Solution. We can wri
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Course: Intro To Deterministic Models
IEOR E4004: Introduction to Operations Research: Deterministic Models Jay Sethuraman & Dawn Strickland HW 1 (due 09/21) All problems are from the text: Applied Mathematical Programming, by Bradley, Hax and Magnanti. 1. Problem 1.1 2. Problem 1.4, part (a)
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Course: Simulation
IEOR 4404 Simulation Prof. Mariana OlveraCravioto Assignment #1 September 7, 2008 Page 1 of 1 Assignment #1 due September 16th, 2008 1. (From Ross) The following data yield the arrival times and service times that each customer will require, for the rst
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Course: Math Programming
IEOR 3608 Introduction to Mathematical Programming Professor Maria Chudnovsky Homework #5 Solutions Problem 1 IEOR 3608 Introduction to Mathematical Programming Professor Maria Chudnovsky Problem 2 IEOR 3608 Introduction to Mathematical Programming Profes
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Course: Iyengar
IEOR E4007 G. Iyengar Oct. 8th, 2008 Solution to Homework #2 1. Simple problems on simplex Consider a linear program with n = 4 variables and m = 2 constraints. Suppose the current basis B = cfw_1, 2 and the constraints are given by x1 x2 3x3 +3x4 = 6 8x3
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Course: Databases
Problem 1 You are given a relation R(A,B,C,D) with functional dependencies F = cfw_A > BC, C > AD. a. What are all the nontrivial functional dependencies that follow from the given F? Step 1 (1attribute closures). Compute A+, B+, C+, and D+. C > AD s
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Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier SalaiMartin 1. Doc, Grumpy, Sneezy, Bashful, Happy, Sleepy, and Dopey A utility function is a mathematical function representing preferences. It is a relationshi
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Course: Computer Network
Fall 2011 CSEE W4119 Computer Networks Homework 6 Solution Professor Zussman 1. a) E ( p) Np(1 p) N 1 E ' ( p) N (1 p) N 1 Np( N 1)(1 p) N 2 N (1 p) N 2 (1 p) p( N 1) E ' ( p) 0 p* 1 N b) E ( p*) N 1 1 (1 ) N 1 N N lim (1 N 1 ) 1 N 1N ) 1 N 1 N (1 )
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Course: Stochastic Models For FE
IEOR 4701 1. Ross, 4.28 Assignment 1 Proposed Solutions Summer 2011 A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Find the expected number of defective items in the sample. Solution. Let X denote the nu
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Course: Foundation Of Financial Engineering
Columbia University Instructor: Rama CONT Assignment 1. Bond pricing. Assignments should be done individually. M.S. in Financial Engineering Summer 2011. IEOR 4706: Foundations of Financial Engineering The table below shows the term structure of (annually
School: Columbia
Course: Computer Network
Fall 2011 CSEE W4119 Compu ter Networks Homework 5 Solution P rofessor Zussman 1 (30 pts.) 1.1 (15 pts.) Steps Nodes 1 2 3 4 5 6 7 8 A 0 0 0 0 0 0 0 0 B 15 14 12 12 12 12 12 11 C 12 D 10 10 10 E 7 7 7 7 F 6 6 6 6 6 G 9 9 9 8 8 8 H 11 11 11 11 10 10 I 3 3
School: Columbia
Course: Computer Networks
CSEEW4119ComputerNetworks Homework5 Prof.Zussman 1 Nodes are connected as described below. Node A is the source and node B is the destination. The link weightsappearontheedges. 15 2 A B C 2 12 2 7 1 2 J 9 1 2 H D 4 8 K I 2 1 6 2 3 2 G 3 1 F E 1 1 Topology
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Course: Stochastic Models For FE
IEOR 4701 Assignment 1 Summer 2011 1. Ross, 4.28 A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Find the expected number of defective items in the sample. 2. Ross, 4.41 A man claims to have extrasensory
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Course: Deterministic Models
IEOR 4004 HOMEWORK 2 due on September 27 at the start of the class 1. Consider the following linear program: max 2x1 + x2 subject to: 2x1 + 3x2 3 x1 + 5 x2 1 2x1 + x2 4 4x1 + x2 5 x1 , x2 0 (a) Is the point (0, 0) a feasible solution for this program? (b)
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Economics 3213 Answers to Problem Set 9: Aladdin Prof. Xavier SalaiMartin 1. Jafar a. If the firm buys real capital, it will receive the same amount as usual: [MPKt+1 + (1  )]Pt+1. b. If the firm buys a bond, it will receive (1 + R)Pt. c. If the
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HOMEWORK #1 STATISTICAL INFERENCE (1) As seen in class Boole's inequality states that n P n Ai j=1 i=1 P(Ai ). Use Venn diagrams to convince yourself that Boole's inequality is true in the case that n = 3. (2) Suppose we conduct an experiment an
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Course: Probability
IEOR 3658 Probability Prof. Mariana OlveraCravioto Assignment #4 October 4, 2011 Page 1 of 2 Assignment #4 due October 12th, 2008 1. The annual premium of a special kind of insurance starts at $1000 and is reduced by 10% after each year where no claim ha
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Course: Industrial Economics
IEOR 4003 Industrial Economics Fall 2011 Professor Ali Sadighian Homework #2 Due in class on October 20th, 2011 Problem 1: A typical bank offers you a Visa credit card that charges interest on unpaid balance at 1.5% per month compounded monthly. This mean
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Course: Simulation
Columbia University IEOR 4404: Simulation Fall 2009 Solution to Assignment 2, due on Sep. 24th 1. Use simulation to approximate the following integrals. Compare your estimate with the exact answer if known. 1 2 1 0 terms go from 0 to .] = 0 (2x x2 )(1 +
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Course: Computer Network
Fall 2011 CSEE W4119 Compu ter Networks Homework 4 Solution Professor Zussman 1 (20 pts.) a. (5 pts.) The sequence number is 214, source port number is 503 and destination port number is 80. b. (5 pts.) The acknowledgement number is 214, the source port n
School: Columbia
Course: Deterministic Models
IEOR 4004 HOMEWORK 1 due on September 20 at the start of the class Solve the following problems from the book: page 51 problem 1 page 51 problem 2 page 53 problem 11 page 53 problem 12 (you do not need to solve the LP, just formulate it) page 54 problem 1
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IEOR 4404 Simulation Prof. Mariana OlveraCravioto Assignment #9 November 21, 2008 Page 1 of 2 Assignment #9 due November 25th, 2008 1. Five elements, numbered 1, 2, 3, 4, 5, are initially arranged in a random order (i.e., the initial ordering is a random
School: Columbia
Course: Sim
IEOR E4404.001 SIMULATION Prof. Mariana OlveraCravioto Assignment #3 Solutions 1. The following MATLAB code computes 95% approximate condence intervals for the expected number dice rolls that are needed: N = 1000; counts = []; for n=1:N outcomes = zeros(
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Course: Sim
IEOR 4404 Simulation Prof. Mariana OlveraCravioto Assignment #2 September 17, 2008 Page 1 of 2 Assignment #2 due September 23rd, 2008 1. Suppose that X and Y are jointly discrete random variables with x + y , for x = 0, 1, 2 and y = 0, 1, 2, 3 30 p(x, y
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Course: Sim
IEOR 4404 Simulation Prof. Mariana OlveraCravioto Assignment #10 Solutions 8th December 2006 Page 1 of ? Assignment #10 Solutions 1. (a) The trac intensity is given by: = Since < 1, the system is welldened. (c) Please see the code below. clear all; T=48
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Course: Iyengar
IEOR E4007 G. Iyengar February 23rd, 2009. Homework #3 Due: March 8th, 2009. 1. Exercise 3.15 from Optimization methods for finance 2. Simple problems on integer programming Formulate, but do not solve, the following mathematical programming problems as i
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Course: Computational Linear Algebra
CS3251, Homework 5 Solution 1. Problem Set 4.4, p. 228, # 6 Let Q1 and Q2 be two orthogonal matrices. Then (Q1 Q2 )T Q1 Q2 = QT QT Q1 Q2 = 2 1 QT IQ2 = I and, therefore, Q1 Q2 is orthogonal. 2 2. Problem Set 4.4, p. 230, # 22 a = (1, 1, 2)T , b = (1, 1,
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Course: Databases
1. (16 points) Consider a relation R(A, B, C, D, E) containing 10,000,000 records, where each data page of the relation holds 10 records. R is organized is a clustered, sorted file with secondary indexes. Assume that R.A is a candidate key for R, with val
School: Columbia
Course: Iyengar
IEOR E4007 G. Iyengar Nov. 5th, 2008 Homework # 4 Due: Nov. 19th 1. Problem on unconstrained optimization For each of the following optimization problems either verify that the given x is a stationary point or nd a direction d that locally improves at x.
School: Columbia
Course: Micro
W3211 Spring 2009 Professor Vogel Homework #3: Due Tuesday 02/24/09 Please write your name on the top of every page of your homework (in case they get separated) and please staple all pages together. Where appropriate, you must show all work. If you just
School: Columbia
Course: Probability
IEOR 3658 Probability Prof. Mariana OlveraCravioto Assignment #8 November 2, 2011 Page 1 of 1 Assignment #8 due November 9th, 2011 1. The time Andrew will be at the dentist has an exponential distribution with mean of one hour. He comes to a parking mete
School: Columbia
Assignment 1 Solutions Chpt 21 8. For ease of presentation (of the computations below) we assume Q > 0 and q < 0 (although the final result does not depend on this particular choice). (a) The xcomponent of the force experienced by q1 = Q is  ( Q
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IEOR 4404 Simulation Prof. Mariana OlveraCravioto Assignment #8 November 11, 2008 Page 1 of 2 Assignment #8 due November 18th, 2008 1. Suppose that Y1 , Y2 , . . . is an output process with steadystate mean and that Y (n) is the usual sample mean based
School: Columbia
Course: Iyengar
IEOR E4007 G. Iyengar Sept. 10th 2008 Homework #1 Due: Wednesday, September 24th, 2008. 1. Simple linear program Consider the following linear program (please solve this question by hand and not use any computer solver, you may use solver for all the othe
School: Columbia
S + G Chapter 4 19) Build a majorityrules circuit (Three inputs, Output is 1 if two or more inputs are 1). No algorithm is specified, so any correct circuit using AND, OR, and NOT is acceptable. Here is the truth table. A 0 0 0 0 1 1 1 1 B 0 0 1 1 0
School: Columbia
Week 2 Homework P. 117/118 1. How will the Feds monetary policy change based on the report? The policy would probably change to a restrictive policy since inflation has up by three percent, so economic growth is going to be slowed (p.101) 2. How will the
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Course: Stat
IEOR E4702 Statistical Inference for Financial Engineering HWK Solution 1 1. The total return of these two managers are: Manager A : p1 60% + (1  p1 ) 15%; Manager B : p2 35% + (1  p2 ) 5%. When the Simpson's paradox appears, p1 60% + (1  p1 ) 15% < p2
School: Columbia
Course: Credit Risk And Credit Derivative
IEOR E4731 Credit Risk and Credit Derivative Xuedong He, Spring 2012 Homework Set 2 (Due Feb. 23) Reading Textbook: Sections 34 in Chapter 3. Suggested Reading Reference book: Chapter 2. Assignment Let r(s), s 0 be the spot short interest rate and Q be t
School: Columbia
Course: Intermediate Micro
Type equation here.1. Henry is a typical New Yorker. Each month he has $120 to spend on transportation. The price of a subway ride is $2 and the price of an average cab ride is $10. You may assume that the goods are not perfect complements. Given these pr
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Course: Sim
IEOR 4404 Simulation Prof. Mariana OlveraCravioto Assignment #7 October 19, 2006 Page 1 of 1 Assignment #7 due October 27th, 2006 1. (From Ross) Suppose that jobs arrive at a single server queueing system according to a nonhomogeneous Poisson process, wh
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CS1004 Spring 2008 Homework #1 Theory Solutions Invitation to Computer Science: Java Version, 3rd Edition Schneider & Gersting Chapter 1: 6, 8, 10 #6. Compare the two solutions to the shampooing algorithm shown in Figures 1.3(a) and 1.3(b). Which do
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Course: Game Theoretic Models Of Operation
1 Homework #2 solutions / IEOR4407 1. (Gibbons 1.11) Using Problem 1.7 (Gibbons 1.14), we can eliminate dominated strategies before computing NE. Hence using solution to 1.1 we start with L (2,0) (3,4) T M R (4,2) (2,3) Let the player 1 and 2s mixed strat
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Course: Quality
Problem 1: Textbook 9.4 (Hint for b: use MR chart to estimate sigma. Compare whether the estimated sigma is close to the assumed sigma). Problem 2: Textbook 9.6 Page 1 of 3 Problem 3: The following data present individual observations on a certain process
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Course: Foundation Of Financial Engineering
IEOR E4706 FE (I) HWK Solution 1 1. a. E(Y X) = E(X 2 + ZX) = E(X 2 X) + E(ZX) = X 2 . Note that E(Y ) = E(E(Y X) = E(X 2 ) = V ar(X) = 1. b. E(XY ) = E(E(XY X) = E(X X 2 ) = E(X 3 ) = 0. c. Cov(XY ) = E(XY )  E(X)E(Y ) = 0. Therefore, corr(X, Y )
School: Columbia
Course: Intermediate Micro
Homework 10_solution 1. Sheila is endowed with 15 jars of peanut butter (x) and 8 jars of jelly (y) and Bruce is endowed with 9 jars of peanut butter and 10 jars of jelly. Sheila's utility function is US(x,y) = xSyS and Bruce's is UB(x,y) = xB yB. a) What
School: Columbia
Course: Intermediate Micro
Homework 8 1. Suppose that the demand for broccoli is given by: QD  1000  5P where Q is the quantity per year measured in hundreds of bushel and P is price in dollars per hundred bushels. The long run supply curve for broccoli is given by: QS = 4P  80.
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Course: Communication Theory
1/3(W) w COMS4111, Fall 2011 Homework 2  Solutions 1. Students not dedicated to their major. Print the id, name and major(s) of each student whose name starts with letter K and has not enrolled in any course offered by any of the departments the student
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Course: Intro To Modern Analysis II
Modern Analysis, Homework 1 Due July 11, 2011 1. [20] (3 points) Rudin, Ch 7, #1: Prove that every uniformly convergent sequence of bounded functions is uniformly bounded. 2. Rudin, Ch 7, #2: If cfw_fn and cfw_gn converge uniformly on a set E , (a) [20]
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Course: Simulation
Columbia University IEOR 4404: Simulation Fall 2009 Solutions to Assignment 5 1. (Exercise 5.14) (a) Consider X with distribution G. Since the denominator of the fraction is equal to G(b) G(a), we can easily guess that the information we have to use in or
School: Columbia
Course: GENERAL CHEMISTRY LABORATORY
Eileen Li exl2101 W1500sec2 Exp 3: Vitamin C Analysis (Berans 30) The goal of this experiment was to determine the amount of vitamin C in a vitamin tablet by using a titration system and the ascorbic acid as the limiting reactant. Using the mass ratio to
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School: Columbia
School: Columbia
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Sheet1 La stNa me Da te ema il CreditCa rdNum AgeZ ip Amount Pa ul 21/02/14 Aliqua m.fringilla @dolorda pibus.co.uk 4 24 10334 229 0036 0 6 738851$14 .39 Bullock 2/7/2014 a dipiscing.fringilla @lectusjusto.org 5178789 9 53524 24 0 3336 538$4 9 8.31 Mcma h
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ex. foreign key create table person ssn char[11] name char[50] mother char[11] primary key ssn Foreign Key (mother) ref person(ssn) student(sid,nm,gpa,age) stud(sid,nm,gpa,dob) view student (sid,nm,gpa,age) AS Select sid,nm,gpa,year of day)year(dob) f
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T join S, A common select * from T,S where T.A=S.A T cross S select * fron T,S find sid reserves at least one boat select sid from reserves select S.sname from Reserves R, Sailors S where R.sid=S.sid start with B: 'B%' reserves a red boat and a green boat
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0.57 0.64 0.60 0.45 0.43 0.62 0.61 0.43 0.58 0.48 0.48 0.43 0.63 0.34 0.56 0.48 0.47 0.51 0.53 0.50 0.64 0.65 0.33 0.37 0.35 31.00 0.28 0.35 0.43 0.28 0.36 0.35 0.31 0.28 0.36 0.22 0.34 0.30 0.29 0.30 0.31 0.32 0
School: Columbia
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 3 14 11 127 27 6 152 48 37 188 52 47 16 45 31 38 12 6 3 40 43 39 39 116 93 1520 365 52 939 471 282 1921 583 266 293 883 147 213 122 154 134 218 364 674 3 7 5 102 28 4 98 60 25 138 64 45 9 57 25 33 2
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3.3 (b) mu.c < 1.013 + (0.24/sqrt(32)*rt(1000,31) mu.t < 1.173 + (0.20/sqrt(36)*rt(1000,35) dif < mu.t  mu.c hist (dif, xlab="mu_t  mu_c", yaxt="n", breaks=seq(.1,.4,.02), cex=2) print (sort(dif)[c(25,976)]) 8. ( c) drawy<rgamma(1000,shape=11,rate=
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1 3 39 3 38 0.028 0.850 2 14 116 7 114 0.741 0.483 3 11 93 5 69 0.541 0.565 4 127 1520 102 1533 0.246 0.138 5 27 365 28 355 0.069 0.281 6 6 52 4 59 0.584 0.676 7 152 939 98 945 0.512 0.139 8 48 471 60 632 0.079 0.204 9 37 282 25 278 0.424 0.274 10
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0.24 0.28 0.26 0.25 0.21 0.26 0.36 0.21 0.28 0.29 0.24 0.21 0.28 0.12 0.26 0.23 0.21 0.23 0.23 0.25 0.31 0.31
School: Columbia
3.3 (b) mu.c < 1.013 + (0.24/sqrt(32)*rt(1000,31) mu.t < 1.173 + (0.20/sqrt(36)*rt(1000,35) dif < mu.t  mu.c hist (dif, xlab="mu_t  mu_c", yaxt="n", breaks=seq(.1,.4,.02), cex=2) print (sort(dif)[c(25,976)]) 8. (c) drawy<rgamma(1000,shape=11,rate=s
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2.11 (a) dens < function (y, th)cfw_ dens0 < NULL for (i in 1:length(th) dens0 < c(dens0, prod (dcauchy (y, th[i], 1) dens0 y < c(2, 1, 0, 1.5, 2.5) step < .01 theta < seq(step/2, 1step/2, step) dens.unnorm < dens(y,theta) dens.norm < dens.unno
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Course: ALD
CSEE W4823 ADVANCED LOGIC DESIGN Quartus II Tool Setup Quartus is a CAD tool produced by Altera for analysis, synthesis and simulation of HDL designs. It enables the developer to model their digital design, perform timing and functional simulations, synth
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Course: Engineering
TEST 4 PROCESS CONTROL Lab Group # 12 List of Figures ABSTRACT A Honeywell PID controller was used in conjunction with an Amatrol Analytic Process Control Apparatus to demonstrate the stability effects of feedback control in a chemical solution with varyi
School: Columbia
Course: GENERAL CHEMISTRY LABORATORY
Eileen Li exl2101 Exp 5: Spectrophotometric Metal Ion Analysis (35) The purpose of this experiment is that with a set of standard solution prepared, wavelength for max absorption of a Fe(III) ion is determined from an absorbance versus molarity plot. From
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Course: GENERAL CHEMISTRY LABORATORY
Eileen Li exl2101 Expmt 1: Basic Lab Operation (1) and Identification of a Compound: Chemical Properties (2) The goal of the Berans experiment 1 was massing several objects, and finding the density of zinc and ethanol by collecting the mass and volume dat
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Course: Bio Principles
Experiment 3: The Use of a Compound Light Microscope Objectives: The purpose of this lab is to learn how to properly use a compound light microscope, and to make measurements with the scope. Introduction: A compound light microscope is the basic tool tha
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Course: CN
1. List 3 different protocols that appear in the protocol column in the unfiltered packetlisting window in step 7 above. A: TCP, ARP, DHCP, HTTP, DNS, UDP, IGMPv2 2. How long did it take from when the HTTP GET message was sent until the HTTP OK reply was
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Course: Neural Modeling And Neuroengineering
BMEE E6030 Neural Modeling and Neuroengineering Compartmental Model Simulation and the HodgkinHuxley Equations Due February 25, 2010 For this homework you will need to download hhsim, a Matlab based HodgkinHuxley simulator, available from the BMEE E6030
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Course: Physics Lab
Experiment 10: Absorption of Beta and Gamma Rays  DATA via E Procedure 1: Setting Up the Geiger Counter Preset time: 15 seconds per trial Calibration of Geiger Counter High Voltage Level (HV) # of Counts 800 2913 810 3015 820 3080 830 2950 840 3063 Backg
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Course: 1010
Yadav 1 Pahdi Yadav Professor Milton English 101 5 May 2008 Antivirus Programs Today, people rely on computers to create, store, and manage critical information, many times via a home computer network. Information transmitted over networks has a higher de
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Course: Essay Writing
Brendan McKeon, 2/15/10 Experiment 3: Moisture Unit Weight Relationships (Soil Compaction Test) Purpose In this lab we will conduct a Standard Proctor Test. The results of a Standard Proctor Test can be used to create a compaction curve that establishes t
School: Columbia
Course: Essay Writing
Container TARE Weight (g) 051 11.11 4T 10.85 T5 11.24 B3 11.03 048 11.23 T15 11.21 4B 11.25 B9 11.09 Container Container Weight + Weight + Weight of Weight of Wet Weight of Dry Weight of dry soil Soil (g) Soil (g) Point water (g) (g) 27.86 27.28 1 0.58
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Course: Essay Writing
Brendan McKeon 2/2/10 Soil Mech: Ling Experiment 1: Particle Size Analysis Mechanical Sieve Method Purpose The index properties of soils are vital information necessary for geotechnical engineers to classify soils. One of the most common index properties
School: Columbia
Course: Essay Writing
Linda Gao zg2132 Becky Grossman Thursday 1:104:00pm Laboratory 1 Introduction: In this experiment, we are observing the motion of an object undergoing constant acceleration and experimentally deriving the coefficient of restitution, e, as well as gravita
School: Columbia
Course: Essay Writing
Literature Search Exercise Name: _ Goals: 1. This exercise will allow you to practice finding source papers, using different tools. 2. Such source papers can help you understand the theoretical background for the experiment you completed in lab. This theo
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Course: Essay Writing
Part1 V(i)(m/s) (vi) 0.68 0.65 0.63 0.59 0.64 0.71 0.49 0.7 0.7 0.65 mean(e)= mean(e(w)= 0 0 0 0 0 0 0 0 0 0 V(f)(m/s) (vf) 0.44 0.41 0.41 0.39 0.41 0.45 0.34 0.46 0.46 0.43 0 0 0 0 0 0 0 0 0 0 0.01 0 e 0.65 0.62 0.65 0.67 0.63 0.64 0.69 0.66 0.66 0.66 (e
School: Columbia
cs3157 Advanced Programming Fall 2005, lab #10, 2 hours, 6 points Dec 7, 2005 Follow these stepbystep instructions. This lab must be submitted electronically (see instructions at the end of the lab) by Tuesday Dec 13, 11:59 pm. Feel free to submit
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Laboratory 1 Page 1 of 4 Department of Electrical Enginering Columbia University EE 3082. Digital Electronics Lab Laboratory 1. Basic Digital Circuit Elements You will receive a box from the laboratory manager containing a breadboard and a set of w
School: Columbia
CSEE W4840 Embedded System Design Lab 1 Stephen A. Edwards Due January 31, 2008 Abstract Learn to use the Altera Quartus development envrionment and the DE2 boards by implementing a small hardware design that displays and modies the contents of a sma
School: Columbia
Physics Lab Lab 8 Capacitance and the Oscilloscope Aleksey Zelenberg Introduction This experiment was aimed at measuring the RC constant (also called the time constant) of various circuit setups (Figs 1 & 2 below). The experiment consisted of two
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Physics Lab Lab 5 Polarization and Interference Aleksey Zelenberg Introduction This experiment consisted of two parts. In the first part, we witnessed the effect of Malus' law by observing the consequences of angle variation between two polarizing
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Physics Lab Lab 3 e/m of the electron Aleksey Zelenberg Introduction This experiment indirectly measured the charge to mass ratio of an electron (e/m), one of the basic physical constants in nature along with the magnetic field of the earth. Our r
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Physics Lab Lab 9 AC Circuits Aleksey Zelenberg Introduction This experiment consisted of two parts. In the first part, we observed the effect of resonance a resonance driving frequency on an AC circuit setup (shown below  Fig 1) at three discret
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Physics Lab Lab 7 The Spectrum of the Hydrogen Atom Aleksey Zelenberg Introduction This experiment consisted of two parts. In the first part, we determined the lattice grating to an accuracy of five significant figures. In the second part, we meas
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Physics Lab Lab 6 Interferometer Aleksey Zelenberg Introduction This experiment had four parts two it. In the first two parts, we measured the wavelength of a laser beam through air. In the FabryPerot mode, we obtained a wavelength of 640nm 16 n
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Course: Literature Humanities
The Iliad By Homer (Books I XII) Plot Summary The Iliad picks up at the end of the Trojan War a tenyear long war fought between the Achaeans (Greek) and the Trojans. Chryses, the priest of Apollo, pleads with the Achaeans to return to him his daughter wh
School: Columbia
Course: Literature Humanities
Hymn to Demeter Plot Summary: The story unfolds with Persephone playing in a beautiful lush garden. Soon thereafter, Hades abducts Persephone and brings her into the underworld. While Persephone does release a scream when she is initially kidnapped, no go
School: Columbia
Course: Intro To Comparative Ethnic Studies
Terms: Define the following, especially citing its meanings, contexts, and wider significance. Third World The developing countries within Asia, Africa, and Latin America, and Caribbean related to development and underdevelopment lecture: 3rd world peo
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Course: Sim
IEOR E4404 Solution to Assignment 4 2013 Fall 1. Provide a procedure that clearly explains how to sample uniformly from the region A = cfw_ 1 x 1 : y 1 x1/4 Solution Notice that the region A is symmetric along both the horizontal and the vertical ax
School: Columbia
Course: Data Analysis For Financial Engineering
E4702. Statistical Inference for Financial Engineering. Professor S. Kou. Midterm, August 11, 2012. 2pm4:30pm. Closed Book Exam. Total 40 pts. x 1. a. (4 pts) If x < 0, then P ( n( Mn ) x) = P ( Mn Mn > 0: n ) = 0, because If x 0, then P( n( Mn ) x) x +
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Sam Average and Ratio Estimates POPULATION PARAMETERS Number of Hospitals Estimates from Random Sample of Size 50 393 Total Total Discharges Beds 320139 108006 Average Average Discharges Beds 815 275 Sample Average Total LBCI UBCI Width covered POPULATION
School: Columbia
Course: Human Resource Management
Page Topic Human Resource management refers to the policies, practices and systems that influence employees behavior, 5 attitudes and performance. Strategic HRM: Analysis and design of work, HR planning, Recruiting, Selection, Training and Development, 5
School: Columbia
Course: MASTERPIECES OF WESTERN LITERATURE
1) Iliad a) Gods/immortals (a.i.1) Theyseemmortalbuttheyredeeplyflawed (a.i.2) Theycontrol*fate* (a.i.3) Theycanlaterhumanevents (a.i.4) Theyareimmortalyettheycanbeharmed (a.i.5) Cantheychangetheessence? b) Fate b.i) Whatisit? b.ii) Fatevsfreewill? c) Ess
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Course: MASTERPIECES OF WESTERN LITERATURE
LacyRussell LitHumProfessorFarahGriffin IliadPassages Xanthos,whyprophesymydeath?Noneed. WhatisinstoreformeIknow,knowwell: todiehere,farawayfrommydearfather, mymother,too.Nomatter.Allthatmatters isthatIshallnotcallahalttoday tillIhavemadetheTrojanssickofw
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Course: Economics For International Affairs
TASession:5 > TheAnatomyofRecession: AggregateDemandand AggregateSupply T7812&16 Hyunjoon Um 2009 Worth Publishers Overview How the ASAD model is used to analyze economic fluctuations How monetary policy and fiscal policy can stabilize the economy The ASA
School: Columbia
Course: Economics For International Affairs
TASession:3 > IncomeandExpenditure T7812&16 Hyunjoon Um 2009 Worth Publishers Overview The nature of the multiplier, which shows how initial changes in spending lead to further changes. The meaning of the aggregate consumption function, which shows how di
School: Columbia
Course: Economics For International Affairs
Value of Sales Intermediate goods wage Interest payments rent Profit Total expenditure by firm Value added per firm (Value of sales  cost of intermediate goods) American Ore Co. American Steel, Co. American Motor Inc. Total Factor Income $4,200 $9,000 $2
School: Columbia
Course: Economics For International Affairs
TASession:4 AggregateDemandand > AggregateSupply T7812&16 Hyunjoon Um 2009 Worth Publishers Overview How the aggregate demand curve illustrates the relationship between the aggregate price level and the quantity of aggregate output demanded in the economy
School: Columbia
Course: Economics For International Affairs
TASession2 > Savings,InvestmentSpending,and theFinancialSystem T7812&16 Hyunjoon Um 2009 Worth Publishers Overview The relationship between savings and investment spending Aspects of the loanable funds market, which shows how savers are matched with borro
School: Columbia
Course: Economics For International Affairs
Real GDP YD 0 500 1000 1500 2000 2500 3000 3500 0 500 1000 1500 2000 2500 3000 3500 C=300+0.6xYD Iplanned AE Planned AE Unplanned AE planned after autonomous change by 400 300 500 800 800 1200 600 500 1100 600 1500 900 500 1400 400 1800 1200 500 1700 
School: Columbia
Course: Economics For International Affairs
TASession 1 TheNationalAccounts, > UnemploymentandInflation T7812&16 Hyunjoon Um 2009 Worth Publishers CH 22. GDP and the CPI: Tracking the Macroeconomy Overview How economists use aggregate measures to track the performance of the economy What gross dome
School: Columbia
Course: Literature Humanities
The Odyssey by Homer Plot Summary The Odyssey takes place a decade after the citadel of Troy is sacked. It focuses on the journey of Odysseus from Troy to his island of Ithaca. While away, his wife Penelope is being courted by a crowd of unruly suitors wh
School: Columbia
Course: Literature Humanities
Nick Wise 12/8/03 Medea by Euripides Plot Summary Medea opens with a speech by the nurse, who explains the backstory of the play. In order to help Jason obtain the Golden Fleece, Medea killed her brother and abandoned her homeland. Medea and Jason then se
School: Columbia
Course: Literature Humanities
The Iliad By Homer (Books I XII) Plot Summary The Iliad picks up at the end of the Trojan War a tenyear long war fought between the Achaeans (Greek) and the Trojans. Chryses, the priest of Apollo, pleads with the Achaeans to return to him his daughter wh
School: Columbia
Course: Literature Humanities
Grace Senko May 3, 2011 Lit Hum Semester 2 Study Guide MAJOR THEMES: 1. Interiority and access to it. 2. Madness 3. Art 4. Absence/Presence Virgils Aeneid: Themes: Founding mythequivalent to American Revolution. What is an empire? What does it ask of th
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Course: Intermediate French II
nprnnnstrativft Adjectives  D!REGT";pronouns Descriptive this and these ADJECTIVES feminine ce* livre brune brunes this book fatiguee fatiguees ces livres plur. ~ these books jaune jaunes ^ him^i. cette maison that house Placed in front ol verb, ces mais
School: Columbia
Course: Literature Humanities
LiteratureHumanitiesSpringSemesterReviewDoc2012 PassageIDs 1.IamhappythatIam,Icannotheavemyheartintomymouth.Iloveyourmajestyaccording tomybond,nomorenoless.CordeliaAct1pg.6 2.Nothingwillcomeofnothing.Speakagain.KingLearpg.6 3.MontaigneIDs: Pg.133OnDemocri
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Course: Contemporary Civilization
HUME Enquiry concerning human understanding Impressions are merely sensations, while ideas are memories and imaginings; ideas are less vivacious than impressions, which are the sources of all ideas in conjunction with sensations Creative faculty incorpor
School: Columbia
Course: Literature Humanities
Iliad Homer (800650 BC) Important Characters o Achilles: wrath at Agamemnon for taking Briseis o Phoenix Raised achilles o Agamemnon King of Mycenae Brother of Menelaus of Sparta o Patroclus Achilles lover o Odysseus Mediate between Agamemnon and
School: Columbia
PLATOS REPUBLIC Summary Handout Plato is trying to do a large number of things in the Republic. His overall concern is with the ways in which human beings can best live what is the good life? Plainly, he wants to defend the idea that the good life involve
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School: Columbia
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School: Columbia
Course: Literature Humanities
SymposiumStudyGuide Chapter Summary: Introductory Dialogue The Symposium opens with an unnamed man asking Apollodorus, to recount the story of the symposium too him. Apollodorus agrees, but explains that he is telling the story, which in turn he was told
School: Columbia
Course: Literature Humanities
History of the Peloponnesian War Thucydides Plot Summary The Peloponnesian War was fought between Athens and Sparta. The war was mostly a demonstration and challenge of power between the two Hellenic forces. The tension between the two nations spawned fro
School: Columbia
Course: Literature Humanities
T heOresteia By:Aeschylus Plot Summary The Oresteia is composed of three plays: Agamemnon, The Libation Bearers, and The Eumenides. Agamemnon begins with the sudden presence of a beacon light that signals the victory of the Atreidae in Troy. The chorus, t
School: Columbia
Course: Literature Humanities
Liz Fink Oedipus study guide Plot Summary The play begins with a plague that has stricken Thebes. Seeking an oracle at Delphi, Thebes and its king, Oedipus, are told the plague will end when the murderer of the former king, Laius, is caught and expelled.
School: Columbia
Course: Literature Humanities
The Odyssey by Homer Plot Summary The Odyssey takes place a decade after the citadel of Troy is sacked. It focuses on the journey of Odysseus from Troy to his island of Ithaca. While away, his wife Penelope is being courted by a crowd of unruly suitors wh
School: Columbia
Course: Literature Humanities
Nick Wise 12/8/03 Medea by Euripides Plot Summary Medea opens with a speech by the nurse, who explains the backstory of the play. In order to help Jason obtain the Golden Fleece, Medea killed her brother and abandoned her homeland. Medea and Jason then se
School: Columbia
Course: Literature Humanities
Lysistrata By: Aristophanes Summary: Lysistrata gathers the women of Athens and Sparta in the front of the Akropolis for the purpose of formulating a plan to help stop the war between Athens and Sparta. Lysistrata asks the women if they would like their h
School: Columbia
Course: Literature Humanities
The Gospels of Luke and John As Explained by: Gaby AvilaBront, Alex Epstein, and Geo Karapetyan Plot Summary Luke The Archangel Gabriel visits Zechariah, who was a priest, while he was serving and tells him that his old wife Elizabeth is to give birth to
School: Columbia
Course: Literature Humanities
Job Study Guide Summary of Text There are two stories in Job the framing story which is 2.5 chapters long, and the interior story, which is written in poetry and is 40 books long. The beginning prose introduces Job as a blameless and upright man who was
School: Columbia
Course: Literature Humanities
Iliad Study Guide Arijit Ghosh 1 Plot Summary Book 13  With Zeus backing the Trojans, the Achaeans have now been forced as far back as their ships. Zeus now takes his attention away from the battle and Poseidon takes advantage of this. In the form of Cal
School: Columbia
Course: Literature Humanities
Nataliya Bochukova  The Histories by Herodotus Selection # 1 Book 1, Chapters 1140; Book 2 chs. 15;chs. 3351, chs.112120; Book3 chs.1738 Plot Summary Herodotus starts his story with Candaules, the king of Lydia, who was so proud of his wifes beauty,
School: Columbia
Course: Literature Humanities
Genesis Study Guide for Literature Humanities: Professor Claybaugh I. ChapterbyChapter Plot Summary: 1,2: Creation A and B 3: Adam and Eve eat from the Tree of Knowledge. God evicts them from Eden even though he said he would kill them. 4: Cain and Abel
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Course: Linear Algebra
E3101: A study guide and review, Version 1.5 Marc Spiegelman December 7, 2004 Here is a list of subjects that I think weve covered in class (your mileage may vary). If you understand and can do the basic problems in this guide you should be in very good s
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CC Study Guide Edmund Burke: Selections from Reflections on the Revolution in France (1970) From class on Wednesday, February 20, 2008 The basic argument: A stable state produces a good society because it guarantees order, liberty, and the continuati
School: Columbia
WEALTHofNATIONS Part1 Ch.1onthedivisionoflabor. Part2:Chapter7onnaturalpriceversusmarketprice Chapter8onwagesoflabour.increasewiththeincreaseinanation'swealth.isnotin proportiontothesizeofthenation'swealth.Highwageshelpindustryandincreases population
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SmithOutline TMS Sentiment:avieworattitudetowardasituationorevent;anopinion,ageneralfeelingor opinion,afeelingoremotion impartialspectatoristhemanabreast selflovehasthecapacitytodeformtheimpartialspectator.impartialspectatorcouldbe calledourconscienc
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Mills On Liberty outline Life: May 20th 1806 May 8 1873 Rigorous upbringing w/ little association w/ other kids Father, James Mill, wanted him to carry on the utilitarianism cause after he & Jeremy Bentham passed away; educated by father Intensive s
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Course: Introduction To Linear Algebra
E3101: A study guide and review, Short Form Version 1.3 Marc Spiegelman December 5, 2007 1 The Shortform Okay, here is the entire study guide in compact form Solving Ax = b for A Rnn Equation: Ax = b Algorithm: Gaussian Elimination [A b] [U c
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Course: Stat
Columbia University Department of IEOR Statistical Inference for Financial Engineering E4702, Summer 2010 TR 3pm5:30pm, 633 Mudd Columbia Course Work Web Page Prof. Steven Kou 312 Mudd Building sk75@columbia.edu Tel: 2128544334 Professor's Office Hours
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Course: Principles Of Econ
Columbia University Department of Economics Principles of Economics _ W1105x2 Spring 2008 Office Hours: 1125 IAB M/W 9:1010:25 M: (1112); W: (1112:30) 501 Schermerhorn email: skg21 Sunil K. Gulati tel: x44067 _ Readings: The required textbook fo
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Course: Foundation Of Financial Engineering
Columbia University Department of IEOR Foundations of Financial Engineering E4706, Summer 2010 TR 11am1:30pm, 633 Mudd Columbia Course Work Web Page Prof. Steven Kou 312 Mudd Building sk75@columbia.edu Tel: 2128544334 Professors Oce Hours: TA: TA emai
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Course: GenChem2
GENERAL CHEMISTRY 1404 Spring Term 2010 Description: The second of a twoterm introductory chemistry sequence, Chemistry 1404/6 will include the following course topics: the properties of gases, liquids, and solids, and the transitions between them; chemi
School: Columbia
Course: Rise Of Civilization
THE RISE OF CIVILIZATION Anthropology V1008y Spring 2007 TR: 1:102:25 PM 702 Hamilton Hall SYLLABUS Prof. Terence D'Altroy Office: 962 Schermerhorn Extension Tel.: 8542131; email: tnd1@columbia.edu Office hours: M 45, T 35 In the human past,
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Course: Intensive Organic Chemistry
CHEM C3045 Fall 2009 Recitation Syllabus Times and Location TBA TA: Danielle F. Sedbrook B.S. in Chemistry from The University of Chicago, Focus in Synthetic Organic Chemistry in the lab of Prof. Viresh Rawal PhD Student in the Department of Chemistry u
School: Columbia
Course: Intermediate Macro
Economics W3213 (1) Intermediate Macroeconomics Spring 2013 January 22, 2013 Time: TR 10:10am11:25am Place: 304 Barnard Professor: Jn Steinsson Office: IAB 1026 Email: jsteinsson@columbia.edu Office Hours: Fridays 10:0011:30am (in my office) Teaching As
School: Columbia
Course: Econometrics
Columbia University Department of Economics Fall 2010 ECON W3412, Section 1 Introduction to Econometrics Professor: Seyhan Arkonac, PhD sa2076@columbia.edu Office hours: Tues and Thurs 11:00am  12:00pm Office: 1002A IAB Class meets on Tuesdays and Thursd
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Course: Introduction To Philosophy
Updated 04.24.14 INTRODUCTION TO PHILOSOPHY PHIL 1001 Spring 2014 Section 001  MW 1:102:25pm, Milbank Hall 405 Section 002  MW 2:403:55pm, Diana Center 504 PROFESSOR Dr. Elliot Samuel Paul Email: epaul@barnard.ed
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Course: LATIN AMERICAN CIVILIZATION
1 Early Latin America, 16th18th centuries (Latin American Civilization I) Fall 2014 History W3660 Section 001 TuesdayThursday 2:40pm3:55pm Pupin Lab 301 Caterina Pizzigoni cp2313@columbia.edu Office: Fayerweather 321 This course aims to give a portrait
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Experimental Finance Experimental Finance Course Package Mike Lipkin Sejal Shah Marco Santoli (TA) Mike Lipkin, Alexander Stanton mdl2117@columbia.edu ss4479@columbia.edu ms4164@columbia.edu Page 1 of 20 Experimental Finance Table of Contents Experimental
School: Columbia
Course: Credit Risk
IEOR E4731 CREDIT RISK AND CREDIT DERIVATIVES Xuedong He, Spring 2013 Course Objective Credit risk arises when one or both counterparts of a contract fails to honor the promised payment. Credit derivatives, which have been introduced since the mid 1990s,
School: Columbia
Course: Introduction To Financial Engineering
IEOR 4700 Introduction to Financial Engineering. Derman. Spring 2014 Page 1 of 3 Outline This course introduces the fields of quantitative finance/financial engineering. Financial Engineering is a multidisciplinary field involving financial theory, the me
School: Columbia
Course: Principles Of Management
Columbia College Course Syllabus Page 1 of 6 Columbia College Course Syllabus Fort Worth Campus 1564 Headquarters Ave. NAS Fort Worth JRB Fort Worth, TX 76127 13 / 13  Winter Session January  March 2014 Course Prefix and Number: MGMT 330 A Course Title:
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Course: Investments
FINC354 Investments SpringSession March24May17 CourseDescription Anintroductoryinvestmentcoursedesignedtoteachstudentshowtomakepersonalinvestingdecisionsfor theirowninvestmentportfoliowithspecialconsiderationgiventothemanagementofemployersponsored retirem
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Course: Human Resource Management
Columbia College Course Syllabus Page 1 of 11 Columbia College Course Syllabus Fort Worth Campus 1564 Headquarters Ave. NAS Fort Worth JRB Fort Worth, TX 76127 13 / 13  Winter Session January  March 2014 Course Prefix and Number: MGMT 361 A Course Title
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Course: ANALOG SYSTEMS IN VLSI
ELEN E6316: Analog Systems in VLSI Spring 2014 Tuesday 7:009:30pm Room: TBD Instructor: Office Hours: Office: Email: Tod Dickson Tuesday 5:306:30pm Mudd 1312 todickso@us.ibm.com or td2235@columbia.edu Teaching Assistant: Office Hours: Office: Email: TBD
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Course: Discourse Analysis
LINGUISTICS W4190 (#73596, 3 pts.): DISCOURSE and PRAGMATICS Spring 2014, Columbia University Alan Timberlake (at2205@., Hamilton 714, M 1 pm; IAB 1228 Th 12 pm) MW 2:40pm3:55pm, Hamilton 707 Conception: The fundamental question: how language is used. Sp
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Course: Organic Chemistry 2
Chemistry 3443: Organic Chemistry I, Fall 2011 Instructor: Prof. Luis M. Campos Office: 1311 NWC Building Tel: 2128549561 www.mrl.ucsb.edu/~lcampos/chem3443.html Email: lcampos@columbia.edu Office hours: Friday 45 pm, 320 Havemeyer (unless otherwise n
School: Columbia
Course: ERM
ACTUK7004: Enterprise Risk Management Fall 2013 Wednesdays, 6:10pm 9:00pm International Affairs, Room 413 Syllabus Sim Segal, FSA, CERA Email: sim@simergy.com (917) 6993373 (mobile) call/text 24/7 (212) 4966479 (home) call until 10:00pm / no voicemails
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Course: PROBABILITY AND INFERENCE
StatisticsW4109: Probability and Statistical Inference Fall 2013 This is a master's / advanced undergraduate level, doublecredit introductory course in probability and mathematical statistics. Course goals: This course covers basic probability theory and
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Course: ALD
CSEE W4823x Prof. Christos Vezyrtzis CSEE W4823x Tentative Syllabus Handout 2 September 4, 2013 WEEK #1: September 4 Introduction. Course overview, recent trends, modern digital design and systems. Combinational Logic: Quick Review. Boolean representation
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Course: VLSI
Columbia Univerity Department of Electrical Engineering Fall, 2013 Course: EE E4321. VLSI Circuits. Instructor: Ken Shepard Email: shepard@ee.columbia.edu Ofce: 1019 CEPSR Ofce hours: MW 4:00  5:00 PM Text: Weste and Harris, CMOS VLSI Design, Fourth Edi
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COLUMBIA ENGINEERING, COLUMBIA UNIVERSITY DEPARTMENT OF INDUSTRIAL ENGINEERING & OPERATIONS RESEARCH IEOR E4578 and IEOR E4579 Professional Development for Operations Research, Industrial Engineering and Management Science & Engineering Fall 2013 Course S
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Course: Intr Oduction To Biostatistics
P6103 Syllabus Fall 2010 P6103  Introduction to Biostatistics COURSE DESCRIPTION Biostatistics is essential to ensuring that findings and practices in public health and biomedicine are supported by reliable evidence. This course covers the basic tools fo
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Course: Rise Of Civilizations
THE RISE OF CIVILIZATION Anthropology V1008y Spring 2013 MW: 2:403:55 PM 417 International Affairs Building Prof. Terence D'Altroy Office: 962 Schermerhorn Extension Tel.: 8542131; email: tnd1@columbia.edu Office hours: M 4:157:00 SYLLABUS (VERSION 1
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Course: UNIVERSITY WRITING
University Writing Tana Wojczuk, MFA M/W 4:105:25 Location: 408a Philosophy Hall tana@caa.columbia.edu Office: 310 Philosophy Hall Office hours: M/W immediately after class 5:306:30pm & by appointment When I write I am trying to express my way of being
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Methods and Problems of Philosophy C1010 (Spring 2013) Prof. Akeel Bilgrami Email: ab41@columbia.edu Office Hour: By appointment. Office: 719 Philosophy Hall This course is intended as an introduction to Philosophy, covering a range of fundamental topics,
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Course: Project Management
Project Management Summer 2010 Professor Moshe Rosenwein mbr19@columbia.edu Office Hours: Thursday 5:006:00 p.m. or by appointment 862.778.8959 Required Textbook Project Management: Tools and Tradeoffs, T. Klastorin, Wiley, 1st edition, 2004, ISBN 04714
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Course: Introduction To Probability & Statistics
Syllabus for SIEO 4150, Fall 2009 Session 1 Wednesday  September 09, 2009 There are no readings or assignments posted for this day. Session 2 Monday  September 14, 2009 Topic: Axioms, Consequences, Finite Sample Space Session 3 Wednesday  September 16,
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Course: Intro To Deterministic Models
Time: October 19, 10am1pm Place: Your room assignment will be in an email to you by Thursday, October 18th. Syllabus for midterm: Chapter 1, Chapter 2, Chapter 3: 3.13.5, Chapter 4: 4.14.5, Appendix A, Appendix B: B.1, B.2, B.3, B.5 Rules: Open books a
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Course: Intro To Deterministic Models
Time: 12/12/12, 12 noon3pm Place: Your room assignment will be in an email to you by Monday, December 10th. Syllabus for final: Chapter 1, Chapter 2, Chapter 3: 3.13.5, Chapter 4, Chapter 8, Chapter 9: 9.19.6, Chapter 11: 11.111.3, 11.5, Appendix A, A
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STATIEOR4106 Intro to OR: Stochastic Models David D. Yao, Fall 2012 Course Outline The objective of the course is twofold: (a) to teach the basic theory and techniques of elementary stochastic processes and related probability models, and (b) to introdu
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Course: GLOBALIZATION AND ITS RISKS
Globalization and Its Risks Fall 2011 Professor Graciela Chichilnisky UNESCO Professor of Mathematics and Economics Director of Columbia Consortium for Risk Management Email address: gc9@columbia.edu Website: www.chichilnisky.com Meeting Time: M W 5:40 6:
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Course: Cognition
HUDK 4080 Educational Psychology Day/Time: Classroom: Wednesdays, 5:10  6:50 pm TBD Instructors: Fall 2012 Grant Atkins, 458 Grace Dodge Hall jga2107@columbia.edu; 2126783488 Office hours: TBD Lisa Pao, 460 Grace Dodge Hall lisapao@post.harvard.edu; 21
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Course: Cognition
Cognitive Neuroscience: Fall 2011 Syllabus Introduction to Cognitive Neuroscience (Psych 611) Professor: Deborah Hannula This class meets Mon/Wed, 3:304:45 pm, in Lubar Hall, Room S171. Office hours will be held on Tues from 35 pm or by appointment, in
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Course: Cognition
Syllabus for Columbia University Course: Computational Biology II: Proteins, Networks, Function Teachers: Dennis Vitkup & Burkhard Rost CONTACT: Dennis Vitkup (dv2121@columbia.edu); TAs: Lifeng Chen lc2071@columbia.edu; Chani Weinreb chani.weinreb@dbmi.co
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Course: Cognition
HUDM4122: Probability and Statistical Inference Fall 2012 Section 1: Monday, Wednesday 1:002:40 CRN 33185 Prof. James Corter, 551C Grace Dodge Hall, tel: 212 6783843, email: corter@tc.edu Office Hours: MW 4:455:15 Wed. 11:001:00 Human Development Dep
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Course: Cognition
MICaB 8004 Biology of Cancer Spring Semester 2012 Hormone Dependence and Independence April 49, 2012 Instructor: Scott Dehm email: dehm@umn.edu Office: MCRB 560D Office Phone: 6126251504 Lab: MCRB 570 Lab Phone: 6126251520 Learning Objectives 1. Hor
School: Columbia
Course: Advanced Data Analysis
Statistics W3701/W4201 (Fall 2007) Course Information Instructor: Junhui Wang, Ph.D. Phone: 2128512136 Email: jwang@stat.columbia.edu Oce hours: 6:30 PM  7:30 PM, T Th, 1009 SSW Teaching Assistant: Yip Chun Yau Email: cy2179@columbia.edu Oce hours: 5
School: Columbia
Course: Advanced Logic Design
CSEE W4823x Prof. Steven Nowick CSEE W4823x Tentative Syllabus Handout 2 September 4, 2012 WEEK #1: September 46 Introduction. Course overview, recent trends, modern digital design and systems. Combinational Logic: Quick Review. Boolean representations,
School: Columbia
Course: Computer Architecture
CSEE W4824 Prof. Luca Carloni Tentative Syllabus Handout 2 September 5, 2012 WEEK #1: September 5 Course Introduction. WEEK #2: September 1012 Computer design fundamentals; principle of quantitative analysis; instruction set architectures WEEK #3: Septem
School: Columbia
SOCIAL PSYCHOLOGY W2630x Fall 2012 TIME: Tu. & Th. 2:403:55 ROOM: 501 Schermerhorn INSTRUCTOR: E. Tory Higgins OFFICE: Room 401D, Schermerhorn OFFICE HOURS: Tu. & Th. 4:00 5:00 TEXTBOOK: E. R. Smith & D. M. Mackie SOCIAL PSYCHOLOGY (3rd Edition) FINAL
School: Columbia
Course: Applied Functional Analysis
APPLIED FUNCTIONAL ANALYSIS, APMA E4150 SYLLABUS General Course Information: Course title: Applied Functional Analysis Course code: APMA E4150, section 001 Meeting time: Mon & Wed, 9:10am  10:25 am Instructor Information: Name: Matias Courdurier Oce: Mud
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Course: Partial Differential Equations
MATH V3028, WEEKLY SYLLABUS Week Topic Textbook 1: 01/22 01/24 Introduction and basic facts about PDEs 1.11.3 2: 01/29 01/31 More basic facts about PDEs. Examples. 1.41.6 3: 02/05 02/07 The wave equation. 2.12.2 4: 02/12 09/14 The heat equation. Midterm r
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Course: Random Signal
1 Random Signals and Noise ELEN E4815 Columbia University Spring Semester 2012 Syllabus 16 January 2012 Professor I. Kalet The course is designed to give the student an introduction to the important subject of random signals and noise. Random processes pl
School: Columbia
Course: THE SCIENCE OF PSYCHOLOGY
Jan. 12, 1999 THE SCIENCE OF PSYCHOLOGY  Short Syllabus & Dates Psych W1001y 3 pts. Spring 1999 Professor: Norma Graham, nvg@psych.columbia.edu, phonemail x45591 T.A.s: Lisa Son, Danielle May, Amy Jewel This is a lecture & demonstration course that is a
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Course: Intermediate Microeconomics
Columbia University Department of Economics Fall 2011 ECON W3211 Intermediate Microeconomics Professor: Seyhan Erden Arkonac, PhD sa2076@columbia.edu Office hours: Mon and Wed 4:10 5:10 pm Office: 1105A IAB Class meets on Monday, Wednesday at 2:40 3:55 pm
School: Columbia
Course: Computer Architecture
CSEE W4824 Prof. Luca Carloni Tentative Syllabus Handout 2 September 7, 2011 WEEK #1: September 7 Course Introduction. WEEK #2: September 1214 Computer design fundamentals; principle of quantitative analysis; instruction set architectures WEEK #3: Septem
School: Columbia
Course: Adv Logic Design
CSEE W4823x Prof. Steven Nowick CSEE W4823x Tentative Syllabus Handout 2 September 6, 2011 WEEK #1: September 68 Introduction. Course overview, recent trends, modern digital design and systems. Combinational Logic: Quick Review. Boolean representations,
School: Columbia
Course: Numerical Methods
APMA E4301x: Numerical Methods for Partial Differential Equations OFFICIAL COURSE DESCRIPTION (FROM THE 20072008 BULLETIN): Numerical solution of partial differential equations (PDE) arising in various physical fields of application. Finite difference, f
School: Columbia
Course: Organizational Psychology
Syllabus ORLJ 5003: Human Resource Management Teachers College, Columbia University Fall 2009 Page 1 of 13 Professor: Schedule: Office Hours: Dr. Michael N. Bazigos Associate Professor of Psychology and Education, Adjunct Faculty Email: mnb12@columbia.edu
School: Columbia
Course: Risk, Financial Market And Institutions
Financial Institutions, Markets, and Risk (E4729) Columbia University Professor: Leo M. Tilman L.M. Tilman & Co. & Columbia University Course Description: This core curriculum course introduces students pursuing a graduate degree in financial engineering
School: Columbia
Course: Intermediate Macroecnomics
Course Syllabus C3501/W4501 Biochemistry: Structure and Metabolism Fall 2010 Dr. Liang Tong, 701 Fairchild Bldg, ltong@columbia.edu, 8545203 Dr. Brent Stockwell, 614 Fairchild Bldg, bs2198@columbia.edu, 8542948 Class room: 301 Pupin Class time: Tuesday
School: Columbia
Course: Essay Writing
Contemporary Western Civilization I I Columbia University Spring 2010 206 Broadway T/Th 6:108PM Instructor: Abby Kluchin ask2117@columbia.edu Office Hours: Th 24 and by appointment in the Teaching Fellows Room at 80 Claremont Course Description The cent
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Course: Essay Writing
Version Date February 2, 2010 Subject to Revision Syllabus  Spring 2010 IEOR E4550.001 ENTREPRENEURIAL BUSINESS CREATION FOR ENGINEERS Wednesdays, 4:10 6:40 p.m. Professor David A. Gulley, Ph.D. Contact Details: Columbia: Email: dag2170@columbia.edu Navi
School: Columbia
Course: Essay Writing
NMED K4220 Narrative, Health, and Social Justice Columbia University Narrative Medicine Masters Degree Program Sayantani DasGupta, MD MPH sd2030@columbia.edu Narrative medicine its practice and scholarship is necessarily concerned with issues of trauma, b
School: Columbia
Course: Essay Writing
COLUMBIA UNIVERSITY Department of Political Science Political Science W4871y CHINESE FOREIGN POLICY Spring 2010 MW 2:403:55 Prof. Andrew J. Nathan 931 IAB Office Hours: Wed. 12:30 and by appointment Teaching Fellows: Xian Huang Yao Lin Leanne Tyler Joel
School: Columbia
Course: Japanese
First Year Japanese II C1102/F1102 Spring 2009 General Information I. Course Objective FirstYear Japanese II will continue to introduce you to basic Japanese grammar and Japanese culture. This course aims at the acquisition of four basic skills in modern
The average total SAT score for students admitted to Columbia for the 2012 academic year was 2230. This combined score can be broken into 745 for math, 740 for critical reading and 745 for writing.
The average ACT score for students admitted to Columbia for the 20132014 academic year was 33.5.
At Columbia, 90% of students submitted an SAT score, but Columbia accepts both the SAT and ACT.
Secondary School Record  Secondary School GPA  Secondary School Rank  Letters of Recommendation  Admission Test Score  AP Credits 

Required  Recommended  Recommended  Required  Required  Yes 
The tuition cost for students attending Columbia is $45,028.
Financial aid options are available to students at Columbia. In 2013, 58 percent of firsttime students attending Columbia received some form of financial aid  student loans, grants or scholarships
Type of Aid  No. Receiving Aid  % Receiving Aid  Total Aid Received  Average Aid Received 

Any Student Financial Aid  809  58%     
Grant Aid  712  51%  $27,008,816  $37,934 
Student Loans  219  16%  $1,650,574  $7,537 
Type of Aid  No. Receiving Aid  % Receiving Aid  Total Aid Received  Average Aid Received 

Grant Aid  4,499  55%  $161,757,781  $35,954 
Student Loans  1,939  24%  $20,987,308  $10,824 
Year  Income: < 30K  Income: 30K  48K  Income: 48K  75K  Income: 75K  110K  Income: > 110K 

20112012  $12,018  $6,719  $10,145  $15,741  $36,551 
20102011  $6,277  $4,124  $9,185  $15,887  $36,846 
20092010  $6,481  $4,602  $7,994  $20,105  $34,680 
Highest Degree Offered  Continuing Professional Programs  Academic and Career Counseling Services  Employment Services for Students  Placement Services for Graduates  Study Abroad 

Doctoral  Yes  Yes  Yes  Yes  Yes 

: 
0.319 MILLION PER STUDENT 
Source: National Center for Education Statistics (NCES), Institute of Education Sciences, 20122013
Course Hero, Inc. does not independently verify the accuracy of the information presented above.