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School: Columbia
Course: Stat
Statistical Inference for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 1. Basic Estimation Principles 1 Introduction to Statistics What is Statistics? Statistics is the study of collecting, analyzing, and interpreting quantitative
School: Columbia
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
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: 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: 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
Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier Sala-i-Martin 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: 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 2 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
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: Literature Humanities
Grace Senko December 14, 2010 LIT HUM Semester 1 Review The Iliad (Epic) (Homer): Themes: Honor/Glory-more honorable to earn glory in arts or on battlefield The Shieldemphasizes peacetime and wartime to show that life exists outside of war. Burial Sym
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
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: 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
School: Columbia
Course: Introduction To Philosophy
1st Paper Assignment for Introduction to Philosophy, Spring 2014 Write a short essay (about 1000 words, typed, double-spaced) in response to one of these two prompts: (1) Could a computer think? That is, is it
School: Columbia
Course: HR Unit VII Article Critique
A critique of an article is the objective analysis of a literary or scientific article with emphasis on whether or not the author supported his main points with reasonable and applicable arguments based on facts. It's easy to get caught up in simply summa
School: Columbia
Course: HR Unit VII Article Critique
HR Unit VII Article Critique Unit VII Article Critique Locate and review a scholarly article found in a peer reviewed journal related to: Unions, Labor Relations, or International Human Resources Management. There is a minimum requirement of 750 words for
School: Columbia
Course: Law
Outline: 1) Introduction a) What a legal state is b) History of a legal state c) The main peculiarity of a legal state 2) The main principles of a legal state 3) History of Kazakhstans development as a legal state 4) Conclusion Legal state is the state, a
School: Columbia
Course: Art Of China
http:/www.nytimes.com/ Shen Zhou. Lofty Mt. Lu. 1467. Hanging scroll, ink and color on paper. NPM, Taipei. Shen Zhou. Twelve Views of Tiger Hill. Album leaves. Ink and color on paper. Cleveland Museum of Art. ShenZhou, Sketches from Life. Album leaves, in
School: Columbia
Course: Linear Regression Models
Inference in Regression Analysis Yang Feng Yang Feng (Columbia University) Inference in Regression Analysis 1 / 118 Inference in the Normal Error Regression Model Yi = 0 + 1 Xi + i Yi value of the response variable in the i th trial 0 and 1 are parameters
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: Micro
W3211 Lecture 1 Introduction and Mathematical Review Jonathan Vogel Columbia University Spring 2009 Jonathan Vogel (Columbia) W3211 Lecture 1 Spring 2009 1 / 21 Introduction Two main themes in economics 1. Individual behavior Assumptions: 1 Agents face we
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: 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
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
School: Columbia
Course: Introduction To Probability & Statistics
Stat-IEOR 4150: Probability and Statistics Midterm 2007 Professor Guillermo Gallego INSTRUCTIONS: 1. The exam is closed book and closed notes. You are allowed to use a calculator and one 8.5 by 11 sheet with formulas. This is a 75 minute exam. Budget your
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: 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
IEOR4106 Intro to OR - Stoch Models David D. Yao Practice 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 cf
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: 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: 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
Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier Sala-i-Martin 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: 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: Stochastic Models For FE
IEOR 4701 Assignment 2 Solution Summer 2011 Question 1: Suppose that (Xn : n 0) is a finite state-space Markov chain. Suppose that B is a given subset of the state-space and define TB = mincfw_n 0 : Xn B. We assume that Pi (TB < ) = 1 for all i B. / Find
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: 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
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
School: Columbia
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
School: Columbia
Course: CHemlab
Experiment #5 Discussion The purpose of this experiment was to determine the concentration of a metal ion in a vitamin tablet through flame atomic absorption spectrophotometric analysis. Since each substance in a given sample absorbs light at characterist
School: Columbia
Course: CHemlab
The purpose of this experiment was to synthesize aspirin through a reaction between salicylic acid and acetic anhydride. The salicylic acid acts as an alcohol and reacts with the acetic anhydride to produce an ester. Acetic acid combines with the -OH grou
School: Columbia
Course: Data Analysis For Financial Engineering
E4702. Statistical Inference for Financial Engineering. Professor S. Kou. Midterm, August 11, 2012. 2pm-4:30pm. 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
NeuroAssessment Meet the Client: Ms. Carie Davidson Ms. Carie Davidson is an 85-year-old Caucasian. She has a history of several transient ischemic attacks (TIAs) and is being admitted to a medical unit following an episode of weakness that caused her to
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 ten-year 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: Literature Humanities
Iliad- Homer (800-650 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
Obstetrics: Healthy Newborn Meet the Client: Laura Carson Ms. Laura Carson, a 39-week-gestation primigravida, is admitted to the Birthing Center in active labor on September 15th at 0915 hours following an uncomplicated pregnancy. At 2100 hours her cervix
School: Columbia
Course: GENERAL PHYSICS I
Date Sep. , 3 8, 10 15, 17 22, 24 Oct. 29, 1 6, 8 13, 15 20, 22 27, , 29 Nov. 3 , 5 10, 12 17, 19 24, 26 Dec. 1, 3 8 15 Chapter 1 2, 3 4 5, 6 6, 7 8 9 10, 11 11 11, 12 12, 13 14 15, 16 16, 17 17 Topic Units / Measurements 1-Dim Motion, Vectors 2-Dim Motio
School: Columbia
Course: Principles Of Econ
Columbia University Department of Economics Principles of Economics _ W1105x-2 Spring 2008 Office Hours: 1125 IAB M/W 9:10-10:25 M: (11-12); W: (11-12:30) 501 Schermerhorn e-mail: skg21 Sunil K. Gulati tel: x44067 _ Readings: The required textbook fo
School: Columbia
Course: Stat
Columbia University Department of IEOR Statistical Inference for Financial Engineering E4702, Summer 2010 TR 3pm-5:30pm, 633 Mudd Columbia Course Work Web Page Prof. Steven Kou 312 Mudd Building sk75@columbia.edu Tel: 212-854-4334 Professor's Office Hours
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: PROBABILITY AND INFERENCE
StatisticsW4109: Probability and Statistical Inference Fall 2013 This is a master's / advanced undergraduate level, double-credit introductory course in probability and mathematical statistics. Course goals: This course covers basic probability theory and
School: Columbia
Course: GenChem2
GENERAL CHEMISTRY 1404 Spring Term 2010 Description: The second of a two-term 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: Stat
Statistical Inference for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 1. Basic Estimation Principles 1 Introduction to Statistics What is Statistics? Statistics is the study of collecting, analyzing, and interpreting quantitative
School: Columbia
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
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: 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: 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
Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier Sala-i-Martin 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: 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: Stochastic Models For FE
IEOR 4701 Assignment 2 Solution Summer 2011 Question 1: Suppose that (Xn : n 0) is a finite state-space Markov chain. Suppose that B is a given subset of the state-space and define TB = mincfw_n 0 : Xn B. We assume that Pi (TB < ) = 1 for all i B. / Find
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: Introduction To Probability & Statistics
Stat-IEOR 4150: Probability and Statistics Midterm 2007 Professor Guillermo Gallego INSTRUCTIONS: 1. The exam is closed book and closed notes. You are allowed to use a calculator and one 8.5 by 11 sheet with formulas. This is a 75 minute exam. Budget your
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: 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: Digital VLSI Circuits
1. tpHL schematic: 59 ps tpHL layout extracted: 71 ps tpLH schematic: 45 ps tpLH layout extracted: 64 ps tpHL is larger than tpLH for both the general schematic and when simulated with a caliber. Also, th e calibre model yields a larger delay for both tpL
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
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
ECO V3265 Fall 2006 Problem Set #1-Balance 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: 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: Intro To Deterministic Models
Columbia University IEOR E4004 Homework #2 - Solutions Instructors: Jay Sethuraman, Dawn Strickland Teaching Assistants: Itai Feigenbaum, Gonzalo Munoz, Xingbo Xu P1. (1.28) a) Using the notation given in the book we can formulate this problem as min s.t.
School: Columbia
W1105.001 Principles of Economics Prof. Musatti Assignment 1, due January 31st 2008 Before submitting your assignment, please make a copy for your own use. Your assignment will not be returned to you before the recitation sessions. Be sure you includ
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
IEOR E3608: Introduction to Mathematical Programming Jay Sethuraman HW 1 (due 09/12) 1. Consider the linear program: maximize x1 subject to x1 + x2 2 x1 + x2 8 , , x1 + x2 4 , x1 , x2 0 , (a) Graph the feasible region of the given linear program and labe
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: 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
IEOR4106 Intro to OR - Stoch Models David D. Yao Practice 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 cf
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 non-trivial functional dependencies that follow from the given F? Step 1 (1-attribute closures). Compute A+, B+, C+, and D+. C -> AD s
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: 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: Sim
IEOR 4404 Simulation Prof. Mariana Olvera-Cravioto Assignment #6 Solutions 24th October 2006 Page 1 of ? Assignment #6 Solutions 1. The following code asks the user to input the probability mass vector and then generates a value of a random variable havin
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
1) TA/CA duties TA: Juan Li (jl3035), Office hour: Thur 1:30-2:30p, 325 Mudd Zheng Wang (zw2192), Office hour: Wed 10-11a, 321 Mudd The TA's conduct weekly recitation classes on Fridays and keep office hours. CA: Tiehejin Li (tl2488) Zhen Lei (zl2273) Hui
School: Columbia
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 +
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 rent-a-car company operates a rental-agent training program, which students complete in one month. The teachers in this program are trained re
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: 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: 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
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
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: 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: Optimization For Financial Engineering
IEOR 4007 - rax Monday, Nov. 19th, 2012 Homework #9 - Solutions Due: 1 Monday, Nov. 26th, 2012 KKT point for a constrained optimization problem Is the point (x1 , x2 , x3 ) = (0, 2, 1) a Karush-Kuhn-Tucker point for the optimization problem? Why/why not ?
School: Columbia
CHAPTER 9: PRINCIPLES OF PRICING FORWARDS, FUTURES, AND OPTIONS ON FUTURES END OF CHAPTER QUESTIONS AND PROBLEMS 1. (Value of a Forward/Futures Contract) Other than the insignificant margin requirement, a futures contract requires no initial outlay of fun
School: Columbia
IEOR E3608: Introduction to Mathematical Programming Jay Sethuraman Midterm 1. The exam is 75 minutes long. It has 5 questions in all and is worth 80 points. 2. Please write and sign the following honor pledge in your blue book: I have neither given nor r
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
CIEN E3004 Urban Infrastructure Systems Department of Civil Engineering & Engineering Mechanics Columbia University Homework Assignment #4 Due: 4:10 p.m., 2/16/10 PART I The Clearville City Hall asked your company to design a water tank for the municipal
School: Columbia
Course: Game Theoretic Models For Operations
IEOR E4407: Game Theoretic Models for Operations Recitation 1 Problems 1. Consumers are uniformly distributed along a boardwalk that is 1 mile long. Ice-cream prices are regulated, and consumers go to the nearest vendor because they dislike walking (assum
School: Columbia
Course: Databases
CS4111, Fall 2012 Homework 1 Due Date: in class, Wednesday October 3 at 4:10p for Section 1, 5:40p for Section 2. We will only accept hard copies of your solutions. Problem 1 (4 pts, 2 pts each question) a) A company database needs to store information ab
School: Columbia
Economics W3213. Intermediate Macro Problem Set 3 - Solutions (1) Human Capital a) Given that we have an AK production function, Y = AK . In per capita terms, it can be written as y = Ak . Then, the fundamental equation, which provides us with the rate of
School: Columbia
Course: Digital VLSI Circuits
Columbia University Department of Electrical Engineering EE E4321. Problem Set #3. Calibrating a technology, inverter properties, static CMOS Due: October 12, 2011, 5 PM by electronic submission through Courseworks 1. In the last problem set, we performed
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 4-5 PM Teaching Assistant: Yitian Gu yg2261@columbia.edu Graders:
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Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier Sala-i-Martin 1. Doc, Grumpy, Sneezy, Bashful, Happy, Sleepy, and Dopey A utility function is a mathematical function representing preferences. It is a relationship betw
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IEOR E4000: Production Management Assignment 1 (updated version): Due Lecture 5 (September 22) Notes Each assignment must be submitted at the beginning of the class it is due. A late submission incurs a penalty of 25% times the number of days you are late
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Course: Stat
Statistical Inference for FE Professor S. Kou, Department of IEOR, Columbia University Lecture 2. Properties of MLE and Estimation for Geometric Brownian Motion 1 Properties of MLE's MLE is perhaps the most widely used estimation procedure, mainly because
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Course: Micro
Problem Set 6 Suggested Solutions 1 First, write each firms profit as a function of q1 and q. 1 = R1 (q1 , q2 ) - C1 (q1 , q2 ) = (10 - Q)q1 - c1 q1 = (10 - [q1 + q2 ])q1 - c1 q1 = 2 10q1 - q1 - q1 q2 - c1 q1 2 = R2 (q1 , q2 ) - C2 (q1 , q2 ) = (10 - Q)q2
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Course: Intermediate Microeconomics
Department of Economics Columbia University W3211 Fall 2011 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; however, for unionized
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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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E CON W3213 - P ROF. X AVIER S ALA - I -M ARTIN TA: C ARLOS M ONTES -G ALDN R ECITATION N OTES 2 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
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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
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Course: Organic Chemistry 2
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Course: Organic Chemistry 2
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IfeellikeImdiagonallyparkedina paralleluniverse MathReview MondayJune72003 A) Introduction a. Symbols b. Operations c. CentralTendencies B) LinearAlgebra C) Correlation/RegressionAnalysis D) AppliedCalculus BasicMathReview B) Systemofequations a) 3x - y =
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STATEMENT TO THE ENVIRONMENT AND PUBLIC WORKS COMMITTEE OF THE UNITED STATES SENATE Roy W. Spencer, PhD Earth System Science Center The University of Alabama in Huntsville Huntsville, Alabama 35801 18 July 2013 (Updated July 19, 2013) 1. Introduction I wo
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Course: Contemporary Civilization
V1003 Climate & Society Due Nov. 17 in class. Homework #5 Understanding the Greenhouse effect Show all calculations and do this on your own. 1. Effective Temperature. The temperature of a planet is determined by a balance between the energy received from
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HOBBES'S THEORY OF SOVEREIGNTY IN LEVIATHAN JAMES HURTGEN R. SUNY College, Fredonia HE THEORY OF SOVEREIGNTY forms a central concern of Hobbes's political science. Part 1 of Leviathan, which culminates in the discussion of the state of nature, is intended
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P ROFESSOR X AVIER P RESENTS .PROBLEM SET 6 T HIS PROBLEM SET IS DUE ON W EDNESDAY, N OVEMBER 26 TH AT THE BEGINNING OF CLASS . Y OU HARD COPY OF YOUR SOLUTIONS . N O ELECTRONIC SUBMISSIONS . N O LATE P ROBLEM S ETS . P LEASE , PAGES IN YOUR P ROBLEM S ET
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V1003 Science & Society Due Oct. 13, 2010 in class Homework #2 As with all homework assignments, the work must be your own. 1. Seasons a. why are there seasons? Because the Earth is tilted (23.5 relative to the ecliptic) b. How would seasons be different
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V1003 Climate & Society Homework #5 1. Climate Sensitivity Due Dec. 8 in class, in class. Show all calculations and do this on your own. Show all calculations and do this on your own. Climate Sensitivity Climate sensitivity is a measure of the global surf
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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
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Course: Introduction To Philosophy
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Course: HR Unit VII Article Critique
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Course: HR Unit VII Article Critique
HR Unit VII Article Critique Unit VII Article Critique Locate and review a scholarly article found in a peer reviewed journal related to: Unions, Labor Relations, or International Human Resources Management. There is a minimum requirement of 750 words for
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Course: Law
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As for my opinions, manager should be given more autonomy to all managers to make personnel decisions such as hiring, appraising, and compensating subordinates in order to fully utilize their human resources to gain a competitive advantage. Since the mana
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LewdandIndecentSpeech Cohenv.California,403U.S.15(1971) BriefFactSummary.TheDefendant,Cohens(Defendant)conviction,for violatingaCalifornialawbywearingajacketthathadfthedraftonitwas reversedbytheSupremeCourtoftheUnitedStates(SupremeCourt)whichheld suchspee
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Recitation 12 Notes Ambuj Dewan December 3, 2014 1 Investment Theory Up until now, we have assumed that consumption was the only component of demand. However, in reality, rms purchase machinery and equipment in order to produce the goods that we consume.
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AwesomeAppsandCoolTechToolsThe2014Edition CheatSheet Sign up Genius Organize people MustexploresiteS In Plain English You Tube Videos Meetup Customer Review Sites Four Square Yelp Pinterest Craigs List SocialMedia Twitter/Tweet Deck for scheduling LinkedI
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Please print and bring this ticket with you. Event 371826449470008183001 371826449470008183001j Columbia Engineering 150th Symposium Date+Time Name Location Sydney Garay Friday, November 14, 2014 from 2:00 PM to 5:00 PM (EST) Alfred Lerner Hall- Roone Arl
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YOUR NAME_ Columbia University Intermediate Macroeconomics W3213, Midterm Exam Fall 2013 (A.D.), Professor Xavier NOTE: YOU ARE NOT ALLOWED TO USE CALCULATORS! Question 1.- Short Speeches a. Describe the evolution of the world distribution of income since
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P ROFESSOR X AVIER P RESENTS .PROBLEM SET 7 T HIS PROBLEM SET IS DUE ON W EDNESDAY, D ECEMBER 3 RD AT THE BEGINNING OF CLASS . Y OU MUST BRING A N O ELECTRONIC SUBMISSIONS . N O LATE P ROBLEM SETS . P LEASE , S TAPLE ALL THE PAGES IN YOUR P ROBLEM S ET. H
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Course: Contemporary Civilization
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In the article Will Behave for Money, Sadie F. Dingfelder discusses how positive reinforcement is useful in treating drug addicts. Using the method contingency management, a monetary reward system, that success has been achieved not only in drug courts bu
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Course: Introduction To American Politics
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Course: American History
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Committee: Crisis Country: The Russian Federation Delegate: Daniel Listwa School: SSDSEU General: Russian Economic Involvement in Africa The Russian Federation has become the largest foreign direct investor in emerging markets over the last decade. Russia
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Titles: Food for Thought The Big Mac Index as a Proxy for Purchasing Parity Pull quotes: 1.) In 1999, The Economist used the Big Mac Index (BMI) to correctly forecast that the Euro was overvalued and would depreciate, while other financial analysts foreca
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EricaRichardson UniversityWritingFall2014 ProgressionFourOpEdPrompt Radicallyreviseoneofthepiecesyouvewrittenforthisclassintoanopedarticlethatyouwill submittoapublicationofyourchoice.(NOTE:usethatpreviouspiecetoinspireyou.Donotcut andpaste.)ORchooseanorig
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Regarding The Pain Of Others REGARDING THE PAIN OF OTHERS Susan Sontag Susan Sontag . PICADOR FARRAR, STRAUS AND GIROUX NEW YORK Regarding The Pain Of Others REGARDING THE PAIN OF OTHERS. Copyright 2003 by Susan Sontag. All rights reserved. Printed in the
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MAKING A CHANGE: CIVIL RIGHTS AND THE FIRST AMENDMENT Letter from Birmingham Jail Have students read both A Call for Unity and Letter from Birmingham Jail (reprinted on the following pages) and answer the questions on the next page. Larger questions for c
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Course: UNIVERSITY WRITING
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Amanda Perry Alp2183 February 27, 2013 Assignment #2 Word Count: 1.) The collective conscience that Durkheim posited in his early work is a societal structure of thought in which everyone in the society shares a specific set of beliefs or moral values. Th
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Course: University Writing
Zoe Theprojectispresentedearlywithinthefirsttwoparagraphsanditisdoneeffectively. Howeverwearentreallygivenasenseofwheretheprojectisgoinguntilarguablythe endofthethirdorfourthparagraph.Itwouldbenicetohavealittlemoreideaofwhere theessayisgoingsoonersothatwe
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Course: Intermediate Spanish II
El Narcotrfico La raza humana ha experimentado con varias drogas desde el principio del tiempo. Alcohol, cocana, herona, meth, marihuana, MDMA, todos estos drogas se han utilizado en la historia humana. Y cada ao, los gobiernos del mundo deciden que al me
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Course: INTRODUCTION TO STATISTICS
1e: Mean, Median and Standard Deviation The sample mean of a numerical sample, x1, x2, x3, . . . , xn, denoted x , is x + x + x + . + xn xi x= 1 2 3 = n n The population mean is denoted by , is the average of all x values in the entire population. House P
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Course: ENVIRONMENTAL RISKS AND DISASTERS
Connect-Extend-Challenge Questions: The Lorax Connect: How does the story of The Lorax connect to ideas you already thought about or knew? The Lorax connected the ideas of human greed and consumerism in my mind, as well as how we take our environment for
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Course: Contemporary Civilizations
Nnamdi Nwaezeapu Dr. William Deringer Contemporary Civilizations 22 February 2013 Rousseau promised to take men as they are, but what about women? To what degree do the texts we have read so far reflect a masculine bias? Choosing one or more thinkers from
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Course: Intro To Comparative Ethnic Studies
Please write 5-7, double-spaced pages at 12-point 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
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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
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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
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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
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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
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Course: University Writing
NnamdiNwaezeapu KateDaloz UniversityWriting 28March2012 ExploratoryDraft 1. Quotes: a. Quote1:Peopledontgenerallyengageinmoralreasoning,Haidt,argues, butmoralrationalization:theybeginwiththeconclusion,coughedupby anunconsciousemotion,andthenworkbackwardto
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Course: University Writing
NnamdiNwaezeapu KateDaloz UniversityWriting 21March2012 Pinkersarticle,TheMoralInstinctexaminesthequestionofwhetherourmoralityas humanbeingsishardwiredintoourgenesorislearnedculturally.Throughhisengagementwith thisquestionhedelvesintoidealsaboutthewaysinw
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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
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Course: University Writing
1/3gradelate NnamdiNwaezeapu KateDaloz UniversityWriting 8May2012 TheMoralityofAlabamajudgeoverride Youhavejustmurderedaman.Attheendofyourtrial,all12jurorsdecidethat insteadofyougettingthedeathpenaltythatyoushouldgetlifeinprison.Butthejudge looksoveratyou
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Course: University Writing
NnamdiNwaezeapu KateDaloz UniversityWriting 3May2012 ThefirststoryIeverwroteexaminedthepowerdynamicbetweenadominant archetypeandasubordinatearchetype,throughasimplisticquestionandanswerdialogue thatproducedcomplexyetfruitfulinsightintothehumanunderstandin
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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
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Course: Art Of China
http:/www.nytimes.com/ Shen Zhou. Lofty Mt. Lu. 1467. Hanging scroll, ink and color on paper. NPM, Taipei. Shen Zhou. Twelve Views of Tiger Hill. Album leaves. Ink and color on paper. Cleveland Museum of Art. ShenZhou, Sketches from Life. Album leaves, in
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Course: Linear Regression Models
Inference in Regression Analysis Yang Feng Yang Feng (Columbia University) Inference in Regression Analysis 1 / 118 Inference in the Normal Error Regression Model Yi = 0 + 1 Xi + i Yi value of the response variable in the i th trial 0 and 1 are parameters
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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
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Course: Micro
W3211 Lecture 1 Introduction and Mathematical Review Jonathan Vogel Columbia University Spring 2009 Jonathan Vogel (Columbia) W3211 Lecture 1 Spring 2009 1 / 21 Introduction Two main themes in economics 1. Individual behavior Assumptions: 1 Agents face we
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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
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Course: Linear Regression Models
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Course: Astrohphysics 2
1/21/13 The Human Race and Astronomy Astronomy is a Natural Science: 0.1 Galaxies: Content, Morphology and Scales everything we know about the Universe is pieced together through observing the light we can captur
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Course: Astrohphysics 2
4/3/13 2.4 Galaxy Popula1ons 2.4 Galaxy Popula1ons We understand a lot about stars from the HR diagram Can we make an HR diagram for galaxies and learn about galaxy forma1on and evolu1on? Much harder (more c
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Course: Astrohphysics 2
4/20/13 A. The Big Bang: The Very Early Universe When the Big Bang occurred, the Universe was impossibly hot and dense. 3.2 The Early Universe A. B. C. D. The Big Bang The Cosmic Microwave Background RadiaCon Summ
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Course: Astrohphysics 2
3/27/13 2.2 Ellip,cals A. Structure, content and mo,ons B. Mass 2.2 Ellip,cals Triaxial in shape The very largest galaxies are ellip,cals Contain li<le gas/young stars/star forma,on No rota,on Structure Shapes
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Course: Astrohphysics 2
3/27/13 2.1 Disk/Spiral Galaxies 2.1 Disk/Spiral Galaxies A. Structure, content and moGons B. RotaGon Curves and Mass Our Milky Way is one! Disk (+spiral arms?) and Bulge (+ bar?) Gas/Dust and ongoing star forma
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Course: Astrohphysics 2
3/4/13 1.3 The Milky Way Halo Home of: 1% of the stars, and some globular clusters High Velocity Clouds of neutral hydrogen ~25 satellite galaxies Lots of DARK MATTER 1 3/4/13 2 3/4/13 Halo: structure,
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Course: Astrohphysics 2
2/14/13 1.0 The Milky Way Our home! advantage detail: we can study star-by-star disadvantage perspecFve: we only see it from the inside through obscuring dust GalacFc Co-ordinates Sky co-ordinates GalacFc lo
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Course: Astrohphysics 2
2/5/13 Galaxies are self-consistent 0.3 Galac-c Dynamics Gravita-onal eld generated by maEer density in galaxy The Universe is dynamic: planets orbit around stars stars/gas/dust/dark-maEer orbit in galaxies galaxies
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Course: Astrohphysics 2
4/27/13 The Idea 4.3 Near-eld Cosmology Using stars in the Milky Way as probes of GalacDc history: GalacDc Archaeology 1995, Johnston, Spergel & Hernquist Stars remember The gas cloud in which they were born t
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Course: Astrohphysics 2
2/25/13 1.1 The Galac/c Disk The Sun is a disk star Disk contains 90% of the stars in the Galaxy . And lots of gas and dust Site of ongoing star forma/on, spiral arms 1.1 The Galac/c Disk A. Structure
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Course: Astrohphysics 2
4/27/13 The Idea Galaxy Forma1on and Evolu1on in the Universe Ingredients The Big Bang (ie an expanding Universe) Tiny primordial density uctua1ons Gravity and MaGer: dark maGer and baryonic maGer Space1me:
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Course: Astrohphysics 2
4/9/13 The Universe 3.0 The Universe The most incomprehensible thing about the Universe is that it is comprehensible. ? To make any sense of the Universe we use the Cosmological Principle The Universe looks the
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Course: Astrohphysics 2
4/27/13 Lookback Time 4.2 Galaxies in Cosmic Time Using telescopes as :me machines lookback :me redshiB studies of galaxies gravita:onal lensing and the most distance objects in the Universe The speed of lig
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Course: Astrohphysics 2
4/27/13 Mapping the Universe Recall Hubbles Law: v = H0 d ) d = 4.1 Galaxies in Cosmic Space v H0 Idea Using Hubbles Law to map the Universe test the predicDons for structures from the simulaDons constrain th
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Course: Astrohphysics 2
4/3/13 2.3 Ac*ve Galac*c Nuclei 2.3 Ac*ve Galac*c Nuclei Highly energe*c radia*on from cores of some galaxies Signatures of the growth of Super-Massive Black Holes A. Discovery of Quasars B. Ac*ve Galac*c Nuclei C
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Course: Astrohphysics 2
1/21/13 ASTR 2002: Introduc4on to Astrophysics II Galaxies and Cosmology 0. Introduc4on From stars to galaxies! What are galaxies? How does the Universe work? How do galaxies form and evolve in this Universe?
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Course: Astrohphysics 2
3/25/13 What does a galaxy look like? 2.0 Galaxies Vast collec4ons of stars, gas, dust and dark ma>er Observed in integrated light (i.e. NOT individual stars) ~100 billion galaxies in the observable Universe Stars
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Course: Frontiers Of Science
9/16/14 Neuroscience Week 2 Voices and the Brain ! " ! If something on your HW does not make sense, please see me." HW solutions are posted on Courseworks in the same folder as the original homework (Seminar 1)" " Homework question 1 for next
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Course: Frontiers Of Science
9/16/14 Neuroscience Week 1 Faces and the Brain ! Homework is due:" Friday at 3:30pm " My ofce hours are: " Friday 1:30pm -3:30pm 609 Schermerhorn" or by appointment (email me)." Syllabus, reading and homework for a given week are posted on t
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Course: General Chemistry I
10/13/2014 Tuesday, 14 October 2014 TODAY: Pre- Lecture-11 photoelectric effect and kinetic energy Diffraction Bohr Model of the atom On the Road to the Quantum Model Photoelectric Effect Ref: Zumdahl /DeCoste ch 12.1-4 Selected Problems from ch 12.
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Course: General Chemistry I
Marco Pagnotta 11/6/2014 Thursday, 6 November 2014 Pre-Lecture 16 Periodic properties and Ionic Bonding TODAY Wrap Up Periodicity Effective nuclear charges - Ionic Bonding Born-Haber diagrams Ref: Periodicity: Zumdahl: ch 12. 12-16, ch 13. 4 Sele
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Course: General Chemistry I
10/22/2014 Lecture-13 CH1403-003 Tuesday, 21 October 2014 Tuesday, 23 Oct 2014 TONIGHT Dual Nature of Light DeBroglie Relationship. Wave Mechanical Model of the atom Electrons as waves Atomic Orbitals Solutions to wave equations Ref: Zumdahl / De
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Course: General Chemistry I
Marco Pagnotta 9/2/2014 Tuesday, 2 Sept 2014 GENERAL Chemistry TODAY Course specifics See handout on Courseworks Complete demographic survey on Courseworks Chemistry C 1403-003 Fall, 2014 Marco Pagnotta mp3195@columbia.edu Using OWL For access see h
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Course: METHODS FOR SOCIAL RESEARCH
School: Columbia
Course: METHODS FOR SOCIAL RESEARCH
R ES E A RC H | R E PO R TS RE FE RENCES AND N OT ES 1. E. D. Weinberg, JAMA 231, 3941 (1975). 2. J. E. Cassat, E. P. Skaar, Cell Host Microbe 13, 509519 (2013). 3. M. I. Hood, E. P. Skaar, Nat. Rev. Microbiol. 10, 525537 (2012). 4. I. Park et al., Proc.
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Course: METHODS FOR SOCIAL RESEARCH
feature article howard schuman sense and nonsense about surveys Understanding surveys is critical to being an informed citizen, but popular media often report surveys without any guidance on how to interpret and evaluate the results. Some basic guidelines
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Course: Frontiers Of Science
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!"#$"%&' The Universe according to Einstein! and beyond! In this unit on Astrophysics! ! Lecture ! Lecture Limit of the Speed of Light! Fundamental Principles! Principle of Relativity! 2: General Relativity and Black Holes! ! Lecture Fundamental Limits! 1
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Course: Physical Chemistry
1 Recitation (11/30/12) Selected from Master Problem 29. Using the Gibbs-Duhem equation that in a dilute solution the solvent satises Raouls law and the solute satises Henrys Law. The Gibbs-Duhem equation provides a relationship between the dierential of
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Course: Physical Chemistry
1 First Law of Thermodynamics (9/28/12) Work, Heat, and Energy The First Law of thermodynamics is expressed as dE = dQ + dW where the internal energy E is a state function (d: exact dierential). dQ is heat change of the system and dW is work done on the s
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Course: CHemlab
W1500: General Chemistry Laboratory Office Hours Monday (1/26) through Monday (5/4) [No office hours 3/16-3/20] 454 Chandler Hall MONDAY Cristina 9:00 - 10:00 TUESDAY Dave* 9:00 - 10:00 WEDNESDAY Garfield 9:00 - 10:00 Jerry 10:0
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Course: GEN CHEM II
S1404 General Chemistry II Final Grade Distribution 20 mean = 69.6 mean GPA = 3.25 18 16 14 12 10 8 6 4 2 0 F <20 D 20-28 C28-36 C 36-44 C+ 44-52 B52-60 B 60-68 B+ 68-76 A76-84 A 84-92 A+ 92-100 Points 92-100 84-92 76-84 68-76 60-68 52-60 44-52 36-44 28-3
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Course: Physical Chemistry
Sta$s$cal Thermodynamics Isolated System (N, V, E) N, V, E xed S(N, V, E) = kB ln W(N, V, E) W = # microstates for xed N, V, E. W = W(N, V, E) Fundamental thermo. eq. of state. for process i ! f , S(N, V, E) = kB ln(Wf /Wi ) Spontaneous if Wf > Wi for
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Course: Physical Chemistry
1 Physical Chemistry 3079 G4230x Midterm Examiation: Answer Key Short Questions (5 pts each) 1. If one mole of a van der Waals gas, for which it can be shown that (U/V )T = a/V 2 , expands isothermally from 10L to V = 20L, calculate U of the transformatio
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Course: Physical Chemistry
1 Solution for master problem set 1. An ideal gas of volume V1 expands adiabatically into a vacuum. Calculate the entropy when the nal volume is V2 and show that the process is irreversible. Solution: Adiabatic expansion to vacuum: Q = 0, W = 0, and U = 0
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Course: Physical Chemistry
Third Law and Beyond Third Law of Themodynamics Nernst Heat Theorem In any thermodynamic process involving only pure phases in their equilibrium states, the entropy change The entropy of any element in equil state is dened to approach 0 as T approach
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Course: Physical Chemistry
C3079 2012 Second Law of Thermodynamics Enthalpy and Spontaneous Change! Ball comes to rest in bowl.! ! In nal position liberates largest! Amount of pot. energy! In 1878 Bertholet and Thomson suggested by analogy that setting free potential energy was mo
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Course: Physical Chemistry
C3079 2012 First Law of Thermodynamics Thermodynamics and Rate Processes Thermodynamics is not concerned with rates of change. Thermodynamics cannot be applied to systems not in equilibrium Thermodynamics tells if transformation is possible but n
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Course: Physical Chemistry
Chem 3079 Dilute Gases Gaseous State Simplest state of matter. Measuring volume is equivalent to counting number of molecules in that volume(Avogadro) for very dilute gases. Equation of state: In general the volume of any pure material is determined b
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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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Course: Introduction To Probability & Statistics
Stat-IEOR 4150: Probability and Statistics Midterm 2007 Professor Guillermo Gallego INSTRUCTIONS: 1. The exam is closed book and closed notes. You are allowed to use a calculator and one 8.5 by 11 sheet with formulas. This is a 75 minute exam. Budget your
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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: 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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IEOR4106 Intro to OR - Stoch Models David D. Yao Practice 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 cf
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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: 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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Stat W4109: Practice Final Fall 2013 Time Limit: 2 hours 45 minutes Name (Print): Student UNI: Signature: This exam contains 8 problems. Answer all of them. Point values are in parentheses. You must show your work to get credit for your solutions - correc
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Course: Pricing Models For FE
Columbia University IEOR 4620 Autumn 2012 David DeRosa _ Your Name _ UNI FINAL EXAM 2 Hours NO BOOKS, NOTES, OR OTHER MATERIALS ALLOWED. NO CONTACT WITH THE OUTSIDE WORLD. NO COMPUTERS, CELL PHONES, IPADS, PAGERS, TELEX MACHINES, ETC. BASIC CALCULATOR ALL
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Course: Simulation
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Course: Intro To Deterministic Models
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Course: PROBABILITY AND INFERENCE
Stat W4109: Midterm II Fall 2013 Time Limit: 2.5 hours Name (Print): Student UNI: Signature: This exam contains ? problems. Answer all of them. Point values are in parentheses. You must show your work to get credit for your solutions - correct answers wit
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Course: Introduction To Probability & Statistics
Stat-IEOR 4150: Final Exam page 1 Professor Guillermo Gallego INSTRUCTIONS: 1. This is a closed book exam. 2. One 8.5 11 inch sheet of notes is allowed (both sides). 3. A calculator is allowed. 4. Write all your answers on the question sheets. Answers wri
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Course: Databases
CS W4111 Section 2 Midterm Solutions Fall 2011 Ques 1 (Graded by Aanchal) 1. Superkey is a set of attributes of a relation variable for which there are no two distinct tuples (rows) that have the same values for the attributes in this set and this can be
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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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Stat W4109: Final Fall 2013 Time Limit: 2 hours 45 minutes Name (Print): Student UNI: Signature: This exam contains 7 problems. Answer all of them. Point values are in parentheses. You must show your work to get credit for your solutions correct answers w
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Engineering E2261: Introduction to Accounting and Finance COLUMBIA UNIVERSITY, School of Engineering and Applied Science Homework 3 Readings, Problems and Cases 0. Reading (Optional): Purchase Introduction to Accounting and Finance E2611. Robert Higgens,
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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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Course: Intermediate Macroeconomics
Columbia University Intermediate Macroeconomics W3213, Midterm Exam Fall 2012 (A.D.), Professor Xavier NOTE: YOU ARE NOT ALLOWED TO USE CALCULATORS! - This exam has 6 questions and we will provide you with 6 sheets of paper. - Write your name and UNI on E
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Course: Calculus III
Final Practice Chapter 14, Appendix H Page 1 Final Practice Chapter 14, Appendix H Page 2 Final Practice Chapter 14, Appendix H Page 3 Final Practice Chapter 14, Appendix H Page 4 Final Practice Chapter 14, Appendix H Page 5 Final Practice Chapter 14, App
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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_
School: Columbia
abstraction Abstraction refers to the separation of the high-level view of an entity or an operation from the low-level details of its implementation. accessor method A method that provides read-only access to a particular file. ACK - acknowledgeme
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Course: Literature Humanities
LITERATURE HUMANITIES MIDTERM STUDY GUIDE ILIAD (Homer) I. Introduction A. Theme: Anger/Conflict B. Opening Line: Sing, goddess (1), the anger (2) of Peleus son Achilleus (3) and its devastation, which put pains thousandfold upon the Achaians. Hurled in t
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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: Ai
COMS W4701y: Artificial Intelligence FINAL EXAM December 21st, 2004 Name: UNI: DIRECTIONS This exam is closed book, closed notes, closed laptop, closed calculator and closed cell phone. It consists of three parts. Each part is labeled with the amount of t
School: Columbia
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ECONW3213 - Midterm Fall 2012 Suggested Solutions Question 1 a) The statement is true. If there was absolute convergence in the world, we will observe that poor countries grow faster than rich countries. But empiricall, this is not what we observe. In fac
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ELEN 4944 Principle of device microfabrication Midterm 31st October 2011 Prof. Robert Laibowitz The exam is open books and open notes. 1) [20 pt] a) Given a concentration of As atoms of 3*1017 cm-3, calculate the resistivity of Si at 300K. Consider ni=1.4
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IEOR4106 Intro to OR - Stoch Models David D. Yao Practice 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 cf
School: Columbia
IEOR4106 Intro to OR - Stoch Models David D. Yao Sample Final Examination (150 minutes) All problems are equally weighted. 1. (i) X is a random variable, with the first two moments given; Y is another random variables, with E(Y |X) = a + bX, where a and b
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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
School: Columbia
Course: Intro To Probability And Statistics
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IEOR 4404 Simulation Prof. Mariana Olvera-Cravioto 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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Normal Task B C D E F G H I CP C-F-H-I C-F-H-I C-F-H-I C-F-H-I B-D-G-I C-F-H-I B-D-G-I 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 I-5 H-8 H-7 H-6 B-9 Cras
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Course: Stat
E4708. Statistical Inference for FE. Professor S. Kou. Final Exam, Aug 26, 2009. Closed Book Exam. Total 50 pts. Note: For "true or false"questions, simply answer "true"or "false" No explanation is needed. . 1. (7 pts) Basic Facts from Empirical Finance.
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Course: PROBABILITY AND INFERENCE
Stat W4109 Fall 2013 Time Limit: 2.5 hours Name (Print): Student UNI: Signature: This exam contains 7 problems. Answer all of them. Point values are in parentheses. You must show your work to get credit for your solutions - correct answers without work wi
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IEOR E4602: Quantitative Risk Management Columbia University Instructor: Martin Haugh Midterm Examination 2nd April 2010 Time: 2.5 hours Question 1 (25 points) (a) Describe the historical simulation method to estimate the loss distribution Lt+1 (Xt+1 ) wh
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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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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
School: Columbia
Course: Intro To Accounting And Finance
good investment. ; Solve for r. r = 1.53%. Using the above relationship ; Solve for r. r = 1.53%. Using the above relationship 67. ; U EAI we relationship we get following answers: for sing thisget EAI = 19.94% the 59. f from r. we get EAI = 19.94% compo
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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: PROBABILITY AND INFERENCE
Stat W4109 Fall 2013 Time Limit: 2.5 hours Name (Print): Student UNI: Signature: This exam contains 7 problems. Answer all of them. Point values are in parentheses. You must show your work to get credit for your solutions - correct answers without work wi
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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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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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IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2004, Professor Whitt First Midterm Exam: Thursday, February 19 Chapters 1-4 in Ross, SOLUTIONS Justify your answers; show your work. 1. Satisfaction Survey (25 points) In its n
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Course: Computer Network
Midterm COMS W4119 - Computer Networks Fall 2007 100 points, 75 minutes Vishal Misra Three questions, attempt all. Write your name clearly on the blue book. 1. (30pts) Forward Error Correction: A technique to increase resilience to loss is known as Forwar
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Course: Introduction To Databases
COMS4111, Introduction to Databases Spring 2013, Midterm Exam Answers Problem 1 Graded by Enrique 1. S is a superset of K. 2. A set of fields in a tuple that refers (logically points) to another tuple its value is the value of the primary key of the refer
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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 4-7 and 10 in Ross, Tuesday, May 12, 9:00am-12:00noon Open Book: but only the textbook, the CTMC notes and three pages of
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Course: Introduction To Probability & Statistics
Sample Final for Stat-IEOR 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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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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Course: Programming Languages And Solutions
Department of Computer Science Columbia University Final Examination COMS W4115 Programming Languages and Translators Monday, April 30, 2012 2:40-3:55pm, 309 Havemeyer Closed book, no aids. Do questions 1-5. Each question is worth 20 points. Question 6 is
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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 4-7 and 10 in Ross, Tuesday, May 10, 9:00am-12:00noon Open Book: but only the Ross textbook plus three 8 11 pages of notes Honor Code: Stud
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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: 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: Microwave Circuit Design
Name: Midterm test EE6318 -2013 /20 Problem 1 The measured input reflection (S11) of a one-port 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: 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: 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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Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier Sala-i-Martin 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: 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 state-space Markov chain. Suppose that B is a given subset of the state-space and define TB = mincfw_n 0 : Xn B. We assume that Pi (TB < ) = 1 for all i B. / Find
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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
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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ECO V3265 Fall 2006 Problem Set #1-Balance 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: 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: Intro To Deterministic Models
Columbia University IEOR E4004 Homework #2 - Solutions Instructors: Jay Sethuraman, Dawn Strickland Teaching Assistants: Itai Feigenbaum, Gonzalo Munoz, Xingbo Xu P1. (1.28) a) Using the notation given in the book we can formulate this problem as min s.t.
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IEOR E3608: Introduction to Mathematical Programming Jay Sethuraman HW 1 (due 09/12) 1. Consider the linear program: maximize x1 subject to x1 + x2 2 x1 + x2 8 , , x1 + x2 4 , x1 , x2 0 , (a) Graph the feasible region of the given linear program and labe
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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 non-trivial functional dependencies that follow from the given F? Step 1 (1-attribute closures). Compute A+, B+, C+, and D+. C -> AD s
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Course: Sim
IEOR 4404 Simulation Prof. Mariana Olvera-Cravioto Assignment #6 Solutions 24th October 2006 Page 1 of ? Assignment #6 Solutions 1. The following code asks the user to input the probability mass vector and then generates a value of a random variable havin
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
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: Optimization For Financial Engineering
IEOR E4007 G. Iyengar October 15, 2012 Homework #6 Due: Monday, Oct. 22nd. 1. Human resources planning problem A rent-a-car company operates a rental-agent training program, which students complete in one month. The teachers in this program are trained re
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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: 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: 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: Optimization For Financial Engineering
IEOR 4007 - rax Monday, Nov. 19th, 2012 Homework #9 - Solutions Due: 1 Monday, Nov. 26th, 2012 KKT point for a constrained optimization problem Is the point (x1 , x2 , x3 ) = (0, 2, 1) a Karush-Kuhn-Tucker point for the optimization problem? Why/why not ?
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CHAPTER 9: PRINCIPLES OF PRICING FORWARDS, FUTURES, AND OPTIONS ON FUTURES END OF CHAPTER QUESTIONS AND PROBLEMS 1. (Value of a Forward/Futures Contract) Other than the insignificant margin requirement, a futures contract requires no initial outlay of fun
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CIEN E3004 Urban Infrastructure Systems Department of Civil Engineering & Engineering Mechanics Columbia University Homework Assignment #4 Due: 4:10 p.m., 2/16/10 PART I The Clearville City Hall asked your company to design a water tank for the municipal
School: Columbia
Course: Game Theoretic Models For Operations
IEOR E4407: Game Theoretic Models for Operations Recitation 1 Problems 1. Consumers are uniformly distributed along a boardwalk that is 1 mile long. Ice-cream prices are regulated, and consumers go to the nearest vendor because they dislike walking (assum
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Course: Databases
CS4111, Fall 2012 Homework 1 Due Date: in class, Wednesday October 3 at 4:10p for Section 1, 5:40p for Section 2. We will only accept hard copies of your solutions. Problem 1 (4 pts, 2 pts each question) a) A company database needs to store information ab
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Economics W3213. Intermediate Macro Problem Set 3 - Solutions (1) Human Capital a) Given that we have an AK production function, Y = AK . In per capita terms, it can be written as y = Ak . Then, the fundamental equation, which provides us with the rate of
School: Columbia
Economics 3213 Answers to Problem Set 4: Snow White and the Seven Dwarfs Prof. Xavier Sala-i-Martin 1. Doc, Grumpy, Sneezy, Bashful, Happy, Sleepy, and Dopey A utility function is a mathematical function representing preferences. It is a relationship betw
School: Columbia
IEOR E4000: Production Management Assignment 1 (updated version): Due Lecture 5 (September 22) Notes Each assignment must be submitted at the beginning of the class it is due. A late submission incurs a penalty of 25% times the number of days you are late
School: Columbia
Course: Micro
Problem Set 6 Suggested Solutions 1 First, write each firms profit as a function of q1 and q. 1 = R1 (q1 , q2 ) - C1 (q1 , q2 ) = (10 - Q)q1 - c1 q1 = (10 - [q1 + q2 ])q1 - c1 q1 = 2 10q1 - q1 - q1 q2 - c1 q1 2 = R2 (q1 , q2 ) - C2 (q1 , q2 ) = (10 - Q)q2
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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
School: Columbia
Course: Simulation
IEOR 4404 Simulation Prof. Mariana Olvera-Cravioto 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: Introduction To Databases
CS4111 Section 1 - Midterm Solutions Problem 1 - Graded by Sidharth 1. Candidate key:It is minimal set of attributes whose values uniquely identify an entity in the set. 2. Weak Entity:An entity which can be uniquely identified only by considering some of
School: Columbia
Columbia University Spring 2013 Department of Chemistry W1500: General Chemistry Laboratory STUDY PROBLEM SOLUTIONS Experiment #9 These questions will not be graded; they are similar to possible quiz questions. The solutions to these and all other study p
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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: Intro To Deterministic Models
IEOR E4004: Introduction to Operations Research: Deterministic Models Jay Sethuraman & Dawn Strickland HW 2 (due 09/28) All problems are from the text: Applied Mathematical Programming, by Bradley, Hax and Magnanti. 1. Problem 1.28 2. Problem 2.3, part (a
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Economics W3213. Intermediate Macro Problem Set 5 - Solutions NOTE: In problem 4, there is an extra question that was not asked in the problem set, but I think it could be interesting to show it. It is part (vi) of the solutions. The question asked about
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: HMWK 3 1. Martingale MC: Consider the MC with state space S = cfw_0, 1, 2, 3, 4 and transition matrix P = 1 0 0 0 0 1/2 0 1 /2 0 0 0 3 /5 0 1/5 1/5 1/10 1/10 1/10 1/10 6/10 0 0 0 0 1 . (a) Show that E (Xn+1 |Xn = i) = i, i S . Thus, being s
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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: 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: 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
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Homework Assignment #2 (due 9/27) I EOR E4004: Introduction to Operations Research: D eterministic Models Instructors: Juraj Stacho & Dawn Strickland TAs: Itai Feigenbaum & Peter Maceli Problem #1: Solve the following LPs using the dictionary Simplex
School: Columbia
Course: INTERMEDIATE MACROECONOMICS
Economics W3213. Intermediate Macroeconomics Problem Set 8 - Solutions 1 Economics 3213 Answers to Problem Set 8: Aladdin Prof. Xavier Sala-i-Martin 1. Jafar a. If the firm buys real capital, it will receive the same amount as usual: [MPKt+1 + (1 - )] Pt+
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Write Your UNI & Name: COMS4111, Introduction to Databases Spring 2013, 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: Project Management
Homework 1 1. Problem 2.7 on page of 57 of Klastorin. 2. The Tatham Company is considering seven projects. The cash required for each project and its net present value (NPV) are given in the table below. The cash available for investment is $15K. Tatham w
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Course: Communication Theory
COMS 4111 Fall 2011 HOMEWORK 3 SOLUTIONS Problem 1 Graded by Aanchal a) F+ = cfw_. 1-attribute closures. A+ = cfw_A,B,C,D, B+ = cfw_B, C+ = cfw_A,B,C,D, D+ = cfw_D F+ = cfw_A R, C R, no need to do more work with A or C on the left side. 2-attribute closur
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Course: Introduction To Financial Engineering
IEOR 4700: Homework 2 Chap 3. problem 10. (Duration) Use the formula to obtain 6.84 years problem 11. (Annuity duration) Using P V = A we have r (1 + r) dP V PV dr r(1 + r) A2 = A r D= Hence DM = = 1+r r D 1 = 1+r r problem 12. (Bond Selection) (a)PA = 88
School: Columbia
Course: Intro To Econometrics
Department of Economics Columbia University W3412 Spring 2010 SOLUTION TO Problem Set 4 Introduction to Econometrics Prof. Dennis Kristensen and Seyhan E Arkonac, PhD Fall 2010 1. Consider the following multiple regression model: Yi 0 1 X 1,i 1 X 1,i ui E
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
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: Probability
IEOR 3658 Probability Prof. Mariana Olvera-Cravioto 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
School: Columbia
Course: Algorithmic Trading
Question 1 i. Used Excel functions to perform calculations for mean, median, standard deviation, skewness, and kurtosis. Calculated autocorrelations by shifting the input parameters by 1, 5, and 10 days respectively. The result is as below: PX_LAST 366.74
School: Columbia
Economics W3213. Intermediate Macro Problem Set 4 - Solutions (1) Development Aid (a) The population growth rate may look like this when one considers the opportunity cost of having children as k increases. Specically, as k increases we see wages increase
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: 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: Econometrics
COMS W1004 Fall 2009 Problem Set 3 Chapter 4 17. 5pts (they need to follow circuit construction giving step by step process on obtaining the circuit) algorithm The circuit corresponds to : They can also write an optimized version of the above equations as
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
Economics 3213 Answers to Problem Set 9: Aladdin Prof. Xavier Sala-i-Martin 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: Databases
Graded by Sidharth 1 a) Refer the above for ER diagram. Constraint that was not capture in ER :- Once either mentor or mentee leaves the company, we are no longer interested in that relationship. 1 b) Create table Employee ( ssn NUMBER, salary NUMBER, pho
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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
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
School: Columbia
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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Course: CHemlab
Experiment #5 Discussion The purpose of this experiment was to determine the concentration of a metal ion in a vitamin tablet through flame atomic absorption spectrophotometric analysis. Since each substance in a given sample absorbs light at characterist
School: Columbia
Course: CHemlab
The purpose of this experiment was to synthesize aspirin through a reaction between salicylic acid and acetic anhydride. The salicylic acid acts as an alcohol and reacts with the acetic anhydride to produce an ester. Acetic acid combines with the -OH grou
School: Columbia
Course: Stochastic Model
Northunmberland_Exhibit 6-1 Exhibit 6-1 PROJECTIONS OF FERRY OPERATION AND CAPITAL COSTS (Made in 1987 for the period 1987 to 2027) (In Million 1987 C$) PEI- Cape Tormentine Year Oprtg cost Cap Cost Total 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996
School: Columbia
Course: Stochastic Model
DYNAMICS AND CONTROL OF DYE MIXING INSTRUCTIONS FOR STUDENTS CHEN 4300: Chemical Engineering Control Fall 2014 SAFETY 1. Wear safety glasses at all times. 2. Guard against electrical hazards by making sure that all equipment is well grounded using three-w
School: Columbia
Course: Stochastic Model
Message from our host at the Indian Point Energy Center (IPEC) Informationforstudents Pleasereadcarefully 1) We provide lunch. 2) Visitors should wear appropriate clothing pants / slacks, closed toe shoes, no high heels. 3) We provide safety gear hard hat
School: Columbia
Course: Intro To Statistics
Chi-Square Test Observed Frequencies Hotel Choose Again? Golden Palm Palm Royale Palm Princess Yes 128 199 186 No 88 33 66 Total 216 232 252 Total 513 187 700 Expected Frequencies Hotel Choose Again? Golden Palm Palm Royale Palm Princess Yes 158.2971 170.
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Course: Introduction To Lasers
Jenny Lee Safak Kilic Kyle Misquitta Experiment Preformed: 9/27/2013 and 10/4/2013 Report Submitted: 10/11/2013 E8/E9: Coral Tank Chemistry: Flame Atomic Absorption Spectroscopy (FAAS) and Electrochemistry Abstract The conditions of seawater is a major en
School: Columbia
Course: Introduction To Lasers
E7 Introduction to Lasers Safak Kilic Group Boron Luis Avila PhD, Senior Lecturer Jason Hon, Teaching Assistant Abstract: The properties of lasers and the refractive properties of various solvents were examined. The construction and physics of lasers were
School: Columbia
Course: Introduction To Lasers
E6 Chromatographic Separations: GC and HPLC Safak Kilic Group Boron Luis Avila PhD, Senior Lecturer Jason Hon, Teaching Assistant Abstract: The chromatographic separation and analysis methods, gas and high pressure liquid chromatography were studied. HPLC
School: Columbia
Course: Introduction To Lasers
E3/E4 Extraction of Chlorophyll from Fresh Spinach and Investigation of the Photophysics of Chlorophyll Safak Kilic Group Boron Luis Avila PhD, Senior Lecturer Jason Hon, Teaching Assistant Abstract: The photophysics of chlorophyll, extracted from spinach
School: Columbia
Table 1. Life table for total population: United States, 2008 Probablity of dying Number between ages x and x surviving to + 1 age x Age (years) 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-
School: Columbia
National Vital Statistics Reports Volume 61, Number 3 September 24, 2012 United States Life Tables, 2008 by Elizabeth Arias, Ph.D., Division of Vital Statistics Abstract ObjectivesThis report presents complete period life tables for the United States by r
School: Columbia
Course: Networking Lab
? (10.0.1.11) at c8:1f:66:cb:2f:a3 [ether] on em1 ? (10.0.1.12) at c8:1f:66:cb:34:74 [ether] on em1 ? (10.0.1.13) at c8:1f:66:cb:11:37 [ether] on em1 ? (10.0.1.14) at c8:1f:66:ca:f7:b3 [ether] on em1
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 Dell_cb:2f:a3 Broadcast ARP 42 Who has 10.0.1.12? Tell 10.0.1.11 Frame 1: 42 bytes on wire (336 bits), 42 bytes captured (336 bits) on interface 0 Ethernet II, Src: Dell_cb:2f:a3 (c8:1f:66:cb
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 fe80:ca1f:66ff:feca:f7b3 ff02:2 ICMPv6 62 Router Solicitation Frame 1: 62 bytes on wire (496 bits), 62 bytes captured (496 bits) on interface 0 Ethernet II, Src: Dell_ca:f7:b3 (c8:1f:66:ca:f7
School: Columbia
Course: Networking Lab
PING 10.0.1.121 (10.0.1.121) 56(84) bytes of data. From 10.0.1.100 icmp_seq=1 Destination Host Unreachable - 10.0.1.121 ping statistics - 1 packets transmitted, 0 received, +1 errors, 100% packet loss, time 0ms
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 fe80:ca1f:66ff:feca:f7b3 ff02:2 ICMPv6 62 Router Solicitation Frame 1: 62 bytes on wire (496 bits), 62 bytes captured (496 bits) on interface 0 Ethernet II, Src: Dell_ca:f7:b3 (c8:1f:66:ca:f7
School: Columbia
Course: Networking Lab
PING 10.0.1.101 (10.0.1.101) 56(84) bytes of data. 64 bytes from 10.0.1.101: icmp_seq=1 ttl=64 time=0.522 ms - 10.0.1.101 ping statistics - 1 packets transmitted, 1 received, 0% packet loss, time 0ms rtt min/avg/max/mdev = 0.522/0.522/0.522/0.000 ms
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 Dell_cb:2f:a3 Broadcast ARP 42 Who has 10.0.1.120? Tell 10.0.1.100 Frame 1: 42 bytes on wire (336 bits), 42 bytes captured (336 bits) on interface 0 Ethernet II, Src: Dell_cb:2f:a3 (c8:1f:66:
School: Columbia
Course: Networking Lab
PING 10.0.1.120 (10.0.1.120) 56(84) bytes of data. 64 bytes from 10.0.1.120: icmp_seq=1 ttl=64 time=0.497 ms - 10.0.1.120 ping statistics - 1 packets transmitted, 1 received, 0% packet loss, time 0ms rtt min/avg/max/mdev = 0.497/0.497/0.497/0.000 ms
School: Columbia
Course: Networking Lab
? (10.0.1.11) at c8:1f:66:cb:2f:a3 [ether] on em1
School: Columbia
Course: Networking Lab
em1: flags=4163<UP,BROADCAST,RUNNING,MULTICAST> mtu 1500 inet 10.0.1.11 netmask 255.255.255.0 broadcast 10.0.1.255 inet6 fe80:ca1f:66ff:feca:f7b3 prefixlen 64 scopeid 0x20<link> ether c8:1f:66:ca:f7:b3 txqueuelen 1000 (Ethernet) RX packets 1503 bytes
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 Dell_cb:11:37 Broadcast ARP 42 Who has 10.0.1.11? Tell 10.0.1.13 Frame 1: 42 bytes on wire (336 bits), 42 bytes captured (336 bits) on interface 0 Ethernet II, Src: Dell_cb:11:37 (c8:1f:66:cb
School: Columbia
Course: Networking Lab
em1: flags=4163<UP,BROADCAST,RUNNING,MULTICAST> mtu 1500 inet 10.0.1.14 netmask 255.255.255.0 broadcast 10.0.1.255 inet6 fe80:ca1f:66ff:feca:f7b3 prefixlen 64 scopeid 0x20<link> ether c8:1f:66:ca:f7:b3 txqueuelen 1000 (Ethernet) RX packets 1489 bytes
School: Columbia
Course: Networking Lab
Ip: 1974 total packets received 0 forwarded 0 incoming packets discarded 1974 incoming packets delivered 2029 requests sent out 310 outgoing packets dropped Icmp: 948 ICMP messages received 13 input ICMP message failed. ICMP input histogram: des
School: Columbia
Course: Networking Lab
Kernel Interface table Iface MTU RX-OK RX-ERR RX-DRP RX-OVR TX-OK TX-ERR TX-DRP TX-OVR Flg em1 1500 1792 0 0 0 951 0 0 0 BMRU em2 1500 0 0 0 0 0 0 0 0 BMU lo 65536 1622 0 0 0 1622 0 0 0 LRU
School: Columbia
Course: Networking Lab
Active Internet connections (servers and established) Proto Recv-Q Send-Q Local Address Foreign Address State tcp 0 0 0.0.0.0:ssh 0.0.0.0:* LISTEN tcp 0 0 localhost.localdoma:ipp 0.0.0.0:* LISTEN tcp6 0 0 [:]:ftp [:]:* LISTEN tcp6 0 0 [:]:ssh [:]:* LI
School: Columbia
Course: Networking Lab
Kernel IP routing table Destination Gateway Genmask Flags MSS Window irtt Iface 10.0.1.0 0.0.0.0 255.255.255.0 U 0 0 0 em1
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 Dell_cb:2f:a3 Broadcast ARP 42 Who has 10.0.1.10? Tell 10.0.1.11 Frame 1: 42 bytes on wire (336 bits), 42 bytes captured (336 bits) on interface 0 Ethernet II, Src: Dell_cb:2f:a3 (c8:1f:66:cb
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 Dell_cb:2f:a3 Broadcast ARP 42 Who has 10.0.1.12? Tell 10.0.1.11 Frame 1: 42 bytes on wire (336 bits), 42 bytes captured (336 bits) on interface 0 Ethernet II, Src: Dell_cb:2f:a3 (c8:1f:66:cb
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 12 25.277886000 10.0.1.11 10.0.1.12 ICMP 98 Echo (ping) request id=0x0842, seq=1/256, ttl=64 (reply in 13) Frame 12: 98 bytes on wire (784 bits), 98 bytes captured (784 bits) on interface 0 Ethernet II, Sr
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 10.0.1.11 10.0.1.12 ICMP 98 Echo (ping) request id=0x07a2, seq=1/256, ttl=64 (reply in 2) Frame 1: 98 bytes on wire (784 bits), 98 bytes captured (784 bits) on interface 0 Ethernet II, Src: D
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 41 67.631062000 10.0.1.11 10.0.1.12 TCP 74 40919 > telnet [SYN] Seq=0 Win=29200 Len=0 MSS=1460 SACK_PERM=1 TSval=2892642 TSecr=0 WS=128 Frame 41: 74 bytes on wire (592 bits), 74 bytes captured (592 bits) o
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 17 38.991972000 10.0.1.11 10.0.1.12 ICMP 98 Echo (ping) request id=0x0864, seq=1/256, ttl=64 (reply in 18) Frame 17: 98 bytes on wire (784 bits), 98 bytes captured (784 bits) on interface 0 Ethernet II, Sr
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 12 26.832936000 10.0.1.12 10.0.1.11 ICMP 98 Echo (ping) reply id=0x084e, seq=1/256, ttl=64 (request in 11) Frame 12: 98 bytes on wire (784 bits), 98 bytes captured (784 bits) on interface 0 Ethernet II, Sr
School: Columbia
Course: Networking Lab
10:44:03.291191 IP 10.0.1.11 > 10.0.1.12: ICMP echo request, id 1801, seq 1, length 64 10:44:03.291447 IP 10.0.1.12 > 10.0.1.11: ICMP echo reply, id 1801, seq 1, length 64 10:44:04.291383 IP 10.0.1.11 > 10.0.1.12: ICMP echo request, id 1801, seq 2, length
School: Columbia
Course: Networking Lab
10:41:04.146493 IP 10.0.1.11 > 10.0.1.12: ICMP echo request, id 1750, seq 1, length 64 10:41:04.146743 IP 10.0.1.12 > 10.0.1.11: ICMP echo reply, id 1750, seq 1, length 64 10:41:05.146384 IP 10.0.1.11 > 10.0.1.12: ICMP echo request, id 1750, seq 2, length
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 6 11.594388000 10.0.3.10 224.0.0.9 RIPv2 66 Response Frame 6: 66 bytes on wire (528 bits), 66 bytes captured (528 bits) on interface 0 Ethernet II, Src: Dell_cb:11:37 (c8:1f:66:cb:11:37), Dst: IPv4mcast_00
School: Columbia
Course: Networking Lab
*Mar 1 03:21:26.639: RIP: sending v2 update to 224.0.0.9 via FastEthernet0/0 (10.0.3.3) *Mar 1 03:21:26.639: RIP: build update entries *Mar 1 03:21:26.639: 10.0.4.0/24 via 0.0.0.0, metric 1, tag 0 *Mar 1 03:21:27.439: RIP: received v2 update from 10.0.3.
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 2 0.008896000 10.0.3.10 224.0.0.9 RIPv2 66 Response Frame 2: 66 bytes on wire (528 bits), 66 bytes captured (528 bits) on interface 0 Ethernet II, Src: Dell_cb:11:37 (c8:1f:66:cb:11:37), Dst: IPv4mcast_00:
School: Columbia
Course: Networking Lab
Router3# *Mar 1 02:54:32.167: RIP: sending v2 update to 224.0.0.9 via FastEthernet0/0 (10.0.3.3) *Mar 1 02:54:32.167: RIP: build update entries *Mar 1 02:54:32.167: 10.0.4.0/24 via 0.0.0.0, metric 1, tag 0 Router3# *Mar 1 02:54:36.771: RIP: sending v2 up
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 1 0.000000000 10.0.2.1 224.0.0.9 RIPv2 66 Response Frame 1: 66 bytes on wire (528 bits), 66 bytes captured (528 bits) on interface 0 Ethernet II, Src: Cisco_a1:ec:41 (00:11:92:a1:ec:41), Dst: IPv4mcast_00:
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 2 1.956065000 10.0.3.2 224.0.0.9 RIPv2 86 Response Frame 2: 86 bytes on wire (688 bits), 86 bytes captured (688 bits) on interface 0 Ethernet II, Src: Cisco_74:db:40 (00:11:92:74:db:40), Dst: IPv4mcast_00:
School: Columbia
Course: Networking Lab
PING 10.0.1.10 (10.0.1.10) 56(84) bytes of data. 64 bytes from 10.0.1.10: icmp_seq=1 ttl=62 time=1.77 ms 64 bytes from 10.0.1.10: icmp_seq=2 ttl=62 time=0.783 ms 64 bytes from 10.0.1.10: icmp_seq=3 ttl=62 time=0.885 ms 64 bytes from 10.0.1.10: icmp_seq=4
School: Columbia
Course: Networking Lab
No. Time Source Destination Protocol Length Info 3 11.942721000 10.0.1.1 224.0.0.9 RIPv2 108 Response Frame 3: 108 bytes on wire (864 bits), 108 bytes captured (864 bits) on interface 0 Linux cooked capture Internet Protocol Version 4, Src: 10.0.1.1 (10.
School: Columbia
Course: Networking Lab
traceroute to 10.0.3.10 (10.0.3.10), 30 hops max, 60 byte packets 1 10.0.2.2 (10.0.2.2) 1.840 ms 2.045 ms 2.390 ms 2 10.0.3.10 (10.0.3.10) 0.962 ms 0.975 ms 0.967 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.3.10 (10.0.3.10), 30 hops max, 60 byte packets 1 10.0.2.2 (10.0.2.2) 1.754 ms 2.039 ms 2.386 ms 2 10.0.3.10 (10.0.3.10) 0.859 ms 0.922 ms 0.914 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.3.10 (10.0.3.10), 30 hops max, 60 byte packets 1 10.0.2.2 (10.0.2.2) 1.779 ms 2.061 ms 2.406 ms 2 10.0.3.10 (10.0.3.10) 0.870 ms 0.922 ms 0.914 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.4.10 (10.0.4.10), 30 hops max, 60 byte packets 1 10.0.2.2 (10.0.2.2) 1.509 ms 2.135 ms 2.741 ms 2 10.0.3.3 (10.0.3.3) 2.401 ms 2.724 ms 3.161 ms 3 10.0.4.10 (10.0.4.10) 1.754 ms 1.751 ms 1.860 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.1.10 (10.0.1.10), 30 hops max, 60 byte packets 1 10.0.2.1 (10.0.2.1) 1.801 ms 2.087 ms 2.423 ms 2 10.0.1.10 (10.0.1.10) 0.917 ms 0.927 ms 0.918 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.4.10 (10.0.4.10), 30 hops max, 60 byte packets 1 10.0.1.1 (10.0.1.1) 1.564 ms 1.831 ms 2.787 ms 2 10.0.2.2 (10.0.2.2) 1.903 ms 2.496 ms 3.133 ms 3 10.0.3.3 (10.0.3.3) 2.764 ms 2.928 ms 3.387 ms 4 10.0.4.10 (10.0.4.10) 1.952 ms 1.948
School: Columbia
Course: Networking Lab
traceroute to 10.0.2.10 (10.0.2.10), 30 hops max, 60 byte packets 1 10.0.1.1 (10.0.1.1) 1.851 ms 2.140 ms 2.486 ms 2 10.0.2.10 (10.0.2.10) 1.003 ms 1.015 ms 1.008 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.3.10 (10.0.3.10), 30 hops max, 60 byte packets 1 10.0.1.1 (10.0.1.1) 1.862 ms 2.283 ms 2.719 ms 2 10.0.2.2 (10.0.2.2) 1.971 ms 2.328 ms 2.695 ms 3 10.0.3.10 (10.0.3.10) 1.274 ms 1.281 ms 1.374 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.3.10 (10.0.3.10), 30 hops max, 60 byte packets 1 10.0.4.3 (10.0.4.3) 2.093 ms 2.375 ms 2.721 ms 2 10.0.3.10 (10.0.3.10) 1.369 ms 1.423 ms 1.416 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.2.10 (10.0.2.10), 30 hops max, 60 byte packets 1 10.0.4.3 (10.0.4.3) 2.217 ms 2.606 ms 3.238 ms 2 10.0.3.2 (10.0.3.2) 2.431 ms 2.785 ms 3.136 ms 3 10.0.2.10 (10.0.2.10) 1.568 ms 1.601 ms 1.594 ms
School: Columbia
Course: Networking Lab
traceroute to 10.0.1.10 (10.0.1.10), 30 hops max, 60 byte packets 1 10.0.4.3 (10.0.4.3) 1.832 ms 2.553 ms 3.346 ms 2 10.0.3.2 (10.0.3.2) 2.545 ms 2.951 ms 3.610 ms 3 10.0.2.1 (10.0.2.1) 2.864 ms 3.102 ms 3.643 ms 4 10.0.1.10 (10.0.1.10) 2.056 ms 2.126
School: Columbia
Course: Data Analysis For Financial Engineering
E4702. Statistical Inference for Financial Engineering. Professor S. Kou. Midterm, August 11, 2012. 2pm-4:30pm. 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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NeuroAssessment Meet the Client: Ms. Carie Davidson Ms. Carie Davidson is an 85-year-old Caucasian. She has a history of several transient ischemic attacks (TIAs) and is being admitted to a medical unit following an episode of weakness that caused her to
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 ten-year 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
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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
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Course: Literature Humanities
Iliad- Homer (800-650 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
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Obstetrics: Healthy Newborn Meet the Client: Laura Carson Ms. Laura Carson, a 39-week-gestation primigravida, is admitted to the Birthing Center in active labor on September 15th at 0915 hours following an uncomplicated pregnancy. At 2100 hours her cervix
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Assessment 1. Whichdiseaseisthemostcommontypeofhyperthyroidism? A)Gravesdisease. CORRECT Gravesdiseaseisanautoimmunediseasethatcausesoversecretionofthyroidhormones(hyperthyroidism). B)Hashimoto'sdisease. INCORRECT Thisisadisorderofthethyroidgland.However,
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Stage1 BerthawassittinguprightwhileFrankfedherbrothfromchickennoodlesoup.Shestartedspittingoutthebroth andturningbluearoundhermouth.Frankstoppedfeedingherandpattedherbackforcefully.Berthawasable tocatchherbreathandthebluenessresolved.Twodayslater,Franktel
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Human Immunodeficiency Virus (HIV) and Tuberculosis (TB) Instructions Meet the Client: Jeff Smith Thirty-two-year-old Jeff Smith is admitted from his healthcare provider's office to the acute care facility. Jeff was diagnosed HIV positive 2 years ago. His
School: Columbia
Course: Contemporary Civilization
StudyGuide:FallFinalExam2014 Aquinas,TheSummaAgainsttheGentiles;SummaofTheology(including OnKingship) gentiles naturallaw ends kingship happiness unbelief firstefficientcause heresy originalsin justwar lawofnations usury tyranny OldLaw/NewLaw JulianofNorw
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Course: The Social World
TheSocialWorldFall2014 Lectures2128(20141111to20141204) Choice 20141111:Boellstorff,Tom.ComingofAgeinSecondLife 20141113:Latour,WhereAretheMissingMasses? 20141120:Browning 20141125:Nosubstantiveclass TheSocialWorldFall2014 Lectures2128(20141111to20141204)
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Course: The Social World
History 131 Dr. C. Weber 4F Study Guide for Christopher Brownings Ordinary Men (1998 edition with Afterword). Identify in each section of the Browning reading what is said about the following: Heinrich Himmler, Odilo Globocnik, Hartwig Gnade, Major Wilhel
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Course: Calculus III
Review of Calculus (9/7/12) The compressibility factor for a van der Waals gas is given by Z= v v a RT v b Z B1 (T ) + B2 (T ) + B3 (T )2 (b) Find the Boyle temperature such that the second virial coe cient vanish II. INTEGRATION A integration is basical
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11:44 agriculturalrevolution urbanization government interference factorsofproduction unions freemarkets newmiddleclass textiles capitalists capitalism socialism communism AdamSmith WealthofNations LaissezFaire invisiblehand KarlMarx Communistmanifesto Fr
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StudyGuideUnit5EnlightenmentandAtlanticRevolutions LearningOutcomes: Beableto: MatchEnlightenmentThinkers(Locke,Hobbes,Montesquieu,Rousseau,etc)withtheirideas. HobbesBelievedthathumanswerenaturallywickedandselfish.Therewasaneedforasocialcontract,creatinga
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StudyGuideUnit5EnlightenmentandAtlanticRevolutions LearningOutcomes: Beableto: MatchEnlightenmentThinkers(Locke,Hobbes,Montesquieu,Rousseau,etc)withtheirideas. MatchScientists(Copernicus,Newton,Galileo,Kepler,etc.)withtheirdiscoveries. ExplainhowtheScient
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Nationalism LofNations Versailles Fascism EconomicGreatDepression Politicalunrest Appeasement UseofDocs OutsideKnowledge Analysis TreatyofVersaillesThepeacetreatysignedbyGermanyandtheAlliedpowersafter WorldWar1.ImposedonGermanybytheLeagueofNations. League
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Course: SYMBOLIC LOGIC
A COURSE IN SYMBOLIC LOGIC Haim Gaifman Philosophy Department Columbia University c Copyright 1992 by Haim Gaifman Revised: February 1999. Further corrections: February 2002. Contents 1 Declarative Sentences 1.0 1 . . . . . . . . . . . . . . . . . . . . .
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Course: DIGITAL SIGNAL PROCESSING
ELEN 4810 Midterm Exam Topics The exam will take place Monday, October 20 in class. You are welcome to bring a sheet (twosided) of handwritten notes. No additional notes, texts, or electronic devices are allowed. The exam will cover the following topics.
School: Columbia
Course: DIGITAL SIGNAL PROCESSING
ELEN 4810 Final Exam Topics The exam will You are welcome to bring a sheet (two-sided) of handwritten notes. No additional notes, texts, or electronic devices are allowed. The exam will cover the following topics, plus select material from before the midt
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Course: Stochastic Model
Load Stress Stress(Gpa) Length 0 0 0 1380 22578534 22.57853403 2780 45484293 45.48429319 5630 92113874 92.11387435 7430 1.2E+008 121.5641361 8140 1.3E+008 133.1806283 9870 1.6E+008 161.4856021 12850 2.1E+008 210.2421466 14100 2.3E+008 230.6937173 14340 2.
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Course: GENERAL PHYSICS I
ECONW3213 Intermediate Macroeconomics Lecture 1 - 09/23/2014 Recitation Notes 4: Poverty Traps and Convergence Lecturer: Xavier Sala-I-Martin 1 Teaching Assistant: Mohit Jain Information Email: mj2589@columbia.edu Recitation: Tuesdays, 1:00pm - 2:00pm,
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Course: GENERAL PHYSICS I
ECONW3213 Intermediate Macroeconomics Lecture 1 - 09/23/2014 Recitation Notes 3: Lets Relax Some Assumptions - AK Model Lecturer: Xavier Sala-I-Martin 1 Teaching Assistant: Mohit Jain Information Email: mj2589@columbia.edu Recitation: Tuesdays, 1:00pm -
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Course: MACROECONOMICS
Intermediate Macroeconomics Recitation notes n9 Valentin Somma November 18th , 2014 "Money vs Cookies" Or, to say it fancy: "nominal variables VS real variables". 1 Denitions Money: A medium of exchange. Read the lecture notes! Price level: In the real
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Course: MACROECONOMICS
Intermediate Macroeconomics Recitation notes n10 Valentin Somma November 25th , 2014 1 General equilibrium (Classical Economics) Classical economists: Equilibrium vision of the world All the quantities move continuously and adjust at all points in time
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Course: MACROECONOMICS
Intermediate Macroeconomics Recitation notes n12 Valentin Somma December 9th , 2014 Last component of aggregate demand: government spending Where are we now? We started to study business cycle uctuations in the macroeconomy by considering only d househol
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Course: MACROECONOMICS
Intermediate Macroeconomics Recitation notes n11 Valentin Somma December 2nd , 2014 1 Motivation So far, we considered only consumption (= households buying cookies) on the demand side of the economy: Y d = C d But investment (= rms buying cookies/machi
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Course: GENERAL PHYSICS I
Philae Lander Lands on Comet 67P M comet ! 1013 kg gcomet Rcomet ! 2000km #11 2 2 13 GM comet ( 6.67 "10 Nm / kg ) (10 kg) = 2 = = 0.0017m / s 2 2 Rcomet (2000m) $ gcomet is 60, 000 smaller than earth 2 ( 6.67 "10 #11 Nm 2 / kg 2 ) (1013 kg) 2GM
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Course: GENERAL PHYSICS I
1 2 3 4 Balancing the torques and solving for the tension gives a value of 1513 N. That kind of tension force can be supplied by hanging 345 lbs from the cable representing the spinae erector muscles. 5
School: Columbia
Course: GENERAL PHYSICS I
Harvard Natural Sciences Lecture Demonstrations http:/isites.harvard.edu/icb/icb.do?keyword=k16940&state=popu. Erector Spinae Muscle Forces [ L | t+ | ] keywords: static equilibrium condition, torques, muscle forces A realistic model of the forces in the
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Course: Intermediate Macro
Intermediate Macroeconomics Recitation notes n5 Valentin Somma October 14th , 2014 1 Reminder: types of convergence If you are still confused by these notions, go back to the notes from Recitation n 3. 1.1 Absolute convergence Absolute convergence hypoth
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Course: Intermediate Macro
Intermediate Macroeconomics Recitation notes n6 Valentin Somma October 21st , 2014 1 The Robinson Crusoe economy: Leisure-consumption choice In economics, we do not like to assume the behavior of people. We do not want to assume something like: "people wi
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School: Columbia
Course: Introduction To Linguistics
The eight English inflectional morphemes MORPHEME GRAMMATICAL FUNCTION EXAMPLES regular: dogs, cats, horses Plural Marks as more than one irregular: sheep, cacti, phenomena, children Possessive Marks for ownership Barts, Homers, Marges Comparative Marks f
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Course: Introduction To Computer Science And Programming In Java
#24 Get More Refcardz! V isit refcardz.com tech facts at your fingertips CONTENTS INCLUDE: n Standard Java Packages n Character Escape Sequences n Collections and Common Algorithms n Regular Expressions n Core Java Java Keywords n JAR Files By Cay S
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Course: Introduction To Computer Science And Programming In Java
A Basic Style Guide for Programming Homeworks BY ANDREW GOLDIN (ADAPTED FROM A PREVIOUS GUIDE BY MADHAVAN SOMANATHAN) To help quell any concerns about how the code for your programming homeworks should be organized and stylized, we have provided this bri
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I.Biogeochemical Cycling A. Biogeochemical cycling (nutrient cycling) involves both biological and chemical processes 1. Oxidation-reduction (redox) reactions change the chemical and physical properties of nutrients 2. Environments with high redox potenti
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7 Microbial Growth I.Reproductive Strategies II.Influences of Environmental Factors on Growth A. Microorganisms grow in a variety of environmental conditions; certain microorganisms, referred to as extremophiles, grow under harsh conditions that would kil
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CHAPTER 3 OUTLINE The Prokaryote Controversy A. Bacteria and Archaea are grouped together as prokaryotes because they lack a nucleus and generally do not have membrane-bound organelles or an endomembrane system B. Bacteria and Archaea are very distinct an
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1 The Evolution of Microorganisms and Microbiology CHAPTER OUTLINE I.Members of the Microbial World A. Microbiology is the study of organisms too small to be clearly seen by the unaided eye (i.e., microorganisms); these include viruses, bacteria, archaea,
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19 Microbial Taxonomy and the Evolution of Diversity CHAPTER OUTLINE I.Introduction to Microbial Taxonomy A. Taxonomy is the science of biological classification 1. Classification is the arrangement of organisms into groups (taxa) 2. Nomenclature refers t
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4 Archaeal Cell Structure CHAPTER OUTLINE I.A Typical Archaeal Cell A. Shape, arrangement and size 1. Cocci 2. Rods 3. Unique shapes including Thermoproteus tenax and Haloquadratum walsybri 4. Rods are about 1-2 um wide and 1.0-5.0 um in length 5. Cocci a
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Course: STOCHASTC PROCSSES-APPLICTNS I
Institute of Mathematical Statistics is collaborating with JSTOR to digitize, preserve, and extend access to The Annals of Probability. www.jstor.org
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Biol. C2005/F2401 - 1B 1B - Exponential growth Say we start with one cell, put it in minimal medium, where it and its daughter cells will grow and divide once every hour: In minimal medium , E. coli divides typically in 60 min., or 1 generation= 60 min. W
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Intro Bio Columbia Univ. H01 Important organic chemical FUNCTIONAL GROUPS found in biological molecules (R = any organic group): NAME GROUP CHEMICAL EXAMPLE COMMENT BIOLOGICAL EXAMPLE hydroxyl: -OH ethanol: CH3-CH2-OH (an alcohol) polar sugars aldehyde (c
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Polarity Handout 1 Biol. C2005/F2401 02-A 2-A POLAR OR NON-POLAR PROPERTIES OF SOME FUNCTIONAL GROUPS Group Name Properties Hydroxyl, or alcohol Polar (soluble, because it is able to form hydrogen bonds) Carboxyl Polar (soluble); usually loses its hydroge
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The Polarity of Molecules 2-B We have seen that atoms differ in their capacity to "hold onto" their electrons; some gain electrons, some lose electrons. Certain atoms, oxygen and nitrogen, for example, do not have sufficient electron-attractive power to b
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School: Columbia
Biol. C2005/F2401 - 2C - IMPORTANT POLYMERS 2-C IMPORTANT POLYMERS POLYMER COMMON EXAMPLES FUNCTION MONOMER: Name Protein Hemoglobin O2 carrier amino acids 20 peptide RNase enzyme amino acids 20 peptide wool, collagen structural amino acids 20 peptide DNA
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Biol. C2005/F2401 Handout 2E A minimal medium for growth of E. coli (sources for the most needed atoms C, H, O, N, K, Mg, S C6H12O6 glucose, a sugar KH2PO4 potassium phosphate MgSO4 magnesium sulfate NH4Cl ammonium chloride H2O water trace elements salts
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School: Columbia
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7A 7-A: Derivation of the Michaeli-Menten equation describing the kinetics of enzymecatalyzed reactions. http:/www.columbia.edu/cu/biology/courses/c2005/handouts/mmderiv.html (1 of 4) [9/3/2008 12:07:34 AM] Derivation of the Michaeli http:/www.columbia.ed
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School: Columbia
Course: GENERAL PHYSICS I
Date Sep. , 3 8, 10 15, 17 22, 24 Oct. 29, 1 6, 8 13, 15 20, 22 27, , 29 Nov. 3 , 5 10, 12 17, 19 24, 26 Dec. 1, 3 8 15 Chapter 1 2, 3 4 5, 6 6, 7 8 9 10, 11 11 11, 12 12, 13 14 15, 16 16, 17 17 Topic Units / Measurements 1-Dim Motion, Vectors 2-Dim Motio