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USC - BISC - 220L
Chapter 4 C, H, O, and N can combine in many ways Vitalism Hydrocarbons Isomers Structural, geometric, enantiomeric Rings (often not isomers at all)1Functional groups contribute to the molecular diversity of life6 groups are of primary val
USC - BISC - 220L
Chapter 5: biomolecules 5 major classes Carbohydrates Proteins Nucleic acids Lipids Small moleculesFormation of polymers Polymers Monomers; dimers, etc. Condensation reactions (in biochemistry) coupling (synthesis) by dehydration can be
USC - BISC - 220L
BISC 220L Albert Herrera, lecturer William McClure, lecturer Pamela Lum, lab director Teaching assistants Supplemental Instruction leadersMechanics of the course Labs are important, and very useful We will incorporate several changes Prelec
Cornell - PAM - 2000
PAM 200 Preliminary Exam #1 Spring 2008 - Solutions 1. The following table represents the possible combinations of on-line video games that can be played on your own, and the number of romantic walks that you can take with your girlfriend/boyfriend
Cornell - PAM - 2000
PAM 200 Microeconomics - Week 1 Lecture Notes I. INTRODUCTION 1) Welcome to Intermediate Microeconomics. 2) If I do a good job of teaching, and you are diligent about doing the work, this course has the potential to be one of the most interesting an
Cornell - PAM - 2000
PAM 200 Microeconomics - Week 2 Lecture Notes I. BUDGET CONSTRAINTS CONTINUED At this point we have learned how to determine the equation for a budget constraint in two M PX - X. dimensions i.e. Y = PY PY To this point we have used very little econo
Cornell - PAM - 2000
PAM 200 Microeconomics - Week 3 Lecture Notes I. MATHEMATICS OF TANGENCY BETWEEN BUDGET CONTRAINTS AND INDIFFERENCE CURVESAs was shown graphically in the previous set of notes, for interior solutions to maximizing utility, the consumer will select
Cornell - PAM - 2000
PAM 200 Microeconomics - Week 4 Lecture Notes In the next section we will review some of the results that were introduced during the discussion of budget constraints. Now that utility has been included, we can verify some previous conclusions. I. EF
USC - EASC - 150g
East Asian Studies Response Paper #3 November 8, 2007 Taiwan, China, and the United States Located just 90 miles off the coast of mainland China is Taiwan, a small island with a turbulent history that has been the focus of much debate and tension ove
USC - EASC - 150g
EASC 150IDs 17-19, 21-23, 28, and 3417) Gang of Four A group of Communist Party of China leaders in the People's Republic of China who were arrested and removed from their positions in 1976, following the death of Mao Zedong, and were primarily bl
USC - HIST - 200gm
History Lecture Notes: 1-31-07 Ass. #6 will be on the exam: o Likely a question on Native Americans or Religion -Look at lectures, Brinkley, Ch 6 Davidson and Lytle. -3 parts to exam, 2 or more questions in each part, write on one question from each
USC - HIST - 200gm
The Depression and the New Deal- Depression, New Deal; what happened, why?What were the causes and conditions? How does the US react to these conditions and try to resolve it. does it work? Dustbowl essay is pretty good resource along with text) A)
USC - EASC - 150g
Basic Law First of All. Hong Kong used to be a British colony, but on December 19, 1984 the Sino-British Joint Declaration was signed between the Chinese and British governments, deciding that Hong Kong would become a Special Administrative Region of
USC - BUAD - 306
2Financial Statements, Taxes, and Cash FlowsMcGraw-Hill/Irwin McGrawCopyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Chapter OutlineThe Balance Sheet The Income Statement Taxes Cash Flow2-1Balance SheetThe bala
USC - BUAD - 306
1Introduction To Corporate FinanceMcGraw-Hill/Irwin McGrawCopyright 2008 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Corporate FinanceSome important questions that are answered using financeWhat long-term investments should
USC - BUAD - 306
CHAPTER 6 DISCOUNTED CASH FLOW VALUATIONAnswers to Concepts Review and Critical Thinking Questions 1. The four pieces are the present value (PV), the periodic cash flow (C), the discount rate (r), and the number of payments, or the life of the annui
USC - BUAD - 306
CHAPTER 4 LONG-TERM FINANCIAL PLANNING AND GROWTHAnswers to Concepts Review and Critical Thinking Questions 1. The reason is that, ultimately, sales are the driving force behind a business. A firm's assets, employees, and, in fact, just about every
Lehigh - PHYSICS - 31
Physics 31: Introduction to Quantum MechanicsInstructor A. P. Hickman LL 404 Office hours: anytime except during the two hours before class 610-758-3917 aph2@lehigh.edu Concepts of Modern Physics (6th edition, 2003, by A. Beiser) ISBN 0-07-244848-2
Lehigh - IE - 406
Introduction to Mathematical Programming IE496 Final ReviewDr. Ted RalphsIE496 Final Review1Course Wrap-up: Chapter 2 In the introduction, we discussed the general framework of mathematical modeling and defined the concept of a linear program
Lehigh - ME - 242
(Fall 2002) A mixer (essentially a motor with a stirring rod or whisk) is used to mix a rather thick, but light, goop. A simple bond graph model of the system is given below. The characteristics of the motor and goop are given to the left. The whisk
Lehigh - IE - 447
Stochastic Programming and Financial Analysis IE447 Midterm ReviewDr. Ted RalphsIE447 Midterm Review1Forming a Mathematical Programming ModelThe general form of a mathematical programming model is: min f (x) s.t. g(x) 0 h(x) = 0 xX where f :
Lehigh - IE - 447
IE447: Stochastic Programming and Financial AnalysisDr. Ted Ralphs Spring 20081Miscellaneous Course InformationDr. Ted Ralphs 473 Mohler Lab 8-4784 tkr2 MW 4:00-5:00 or by appointment http:/www.lehigh.edu/~tkr2 http:/www.lehigh.edu/~tkr2/teachi
Lehigh - ME - 242
6. What is the total response to u ( t ) = 3 (1 - e -3t ) when x ( 0 ) = -.6 and x ( 0 ) = 1 .We utilize our work from previous problems to solve this problem. From Problem 1, X ( s ) =U (s) ( s + 2 ) x0 + x0 . + 2 s 2 + 2s + 5 s + 2s + 5Next us
Lehigh - ME - 242
7. Utilize the "final value theorem" to determine the final value of x ( t ) given the conditions of problem 6. (The solution should be the same as that obtained by taking the limit of the solution in problem 6 as t goes to infinity.) The final value
Lehigh - ME - 242
8.Consider the case where u ( t ) = cos 4t , t 0 and x ( 0 ) = 0 while x ( 0 ) = 0 . Obtain the solution for x ( t ) utilizing the phasor method. Repeat the problem but this time utilize the Laplace transform method. Is the answer the same? Should i
Lehigh - ME - 242
2. If u ( t ) = 0 , x ( 0 ) = -.6 and x ( 0 ) = 1 , what is the total time solution for x ( t ) ? From Problem 1 U (s) ( s + 2 ) x0 + x0 X (s) = 2 + 2 s + 2s + 5 s + 2s + 5 Thus: X ( s ) =( s + 2 )( -.6 ) + 1 =s + 2s + 52-.6 s - .2( s + 1) +
Lehigh - ME - 242
3. What is the response of x to a unit step in u ( t ) ? (This is the step response, h ( t ) .) For this problem take x ( 0 ) = 0 and x ( 0 ) = 0 . The Laplace Transform Table shows the pair1 n - at 1 1 . If n = 0 and a = 0 the pair degenerates to
Lehigh - ME - 242
4. What is the response of x to a unit impulse in u ( t ) ? (This is the impulse response, g ( t ) .) This solution can and should be found in two alternative ways, by taking the inverse Laplace transform of G ( s ) and by taking the time derivative
Lehigh - ME - 242
5. If u ( t ) = 3 (1 - e -3t ) and x ( 0 ) = 0 while x ( 0 ) = 0 , what is the total time solution for x ( t ) ?3 3 (Although you could use 3 G ( 0 ) - G ( -3) e -3t = - e -3t to find the particular solution, we will 5 8 use Laplace Transform me
Lehigh - IE - 406
IE406: Introduction to Mathematical Programming SyllabusDr. Ted Ralphs Fall 20071Miscellaneous Course InformationDr. Ted Ralphs 473 Mohler Lab 8-4784 tkr2 MW 4:00-5:00 or by appointment http:/www.lehigh.edu/~tkr2 http:/www.lehigh.edu/~tkr2/teac
Lehigh - ME - 242
(Spring 1999)Find the total response of the system x + 5 x = u (t ) , x ( 0 ) = -2 ,u (t )for the input shown to the right. 1 Note that G ( s ) = and that the homogeneous solution is x ( t ) = Ae -5t . s+5 0 1 Next write out an analytical form of
Lehigh - IE - 495
IE 495 Stochastic Programming Problem Set #1Due Date: February 3, 2003 Do any four of the following five problems. If you are working in pairs, do all five problems. You are allowed to examine outside sources, but you must cite any references that
Lehigh - IE - 495
Department of Industrial and Systems Engineering Spring 2003Stochastic Programming(IE 495)Meeting: Monday and Wednesday 4:105:30PM 453 Mohler LabJeff LinderothOffice: 325 Mohler Office hours: Monday and Wednesday 5:306:30PM, Thursday 24PM(also
Lehigh - IE - 418
IE 418 Integer Programming Problem Set #1Due Date: February 9 Do the following problems. You may work with one other classmate. If you work alone, you will receive a 10% bonus. You are allowed to examine outside sources, but you must cite any refer
Lehigh - IE - 418
IE 418 Integer Programming Problem Set #1 - Answers1Formulation Practice1.1 Problem Nemhauser and Wolsey Problem I.1.8.2: The BST delivery company must make deliveries to 10 customers J = {1, 2, . . . , 10} whose demands are dj for j J. A com
Lehigh - IE - 418
IE 418 Integer Programming Problem Set #2Due Date: February 23 Do the following problems. You may work with one other classmate. If you work alone, you will receive a 10% bonus. You are allowed to examine outside sources, but you must cite any refe
Lehigh - IE - 418
IE 418 Integer Programming Problem Set #2 - Answers1Nonconvex Regions1.1 Problem Consider the following polyhedra: P1 = {x R4 | 2x1 + 2x2 - x3 + 2x4 10, 4x1 + x2 - x3 + x4 10} + P2 = {x R4 | 8x1 + 2x2 - x3 + 14x4 70, x1 + x2 - x3 + x4 2}
Lehigh - IE - 418
IE 418 Integer Programming Problem Set #3Due Date: April 4 Do the following problems. You may work with one other classmate. If you work alone, you will receive a 10% bonus. You are allowed to examine outside sources, but you must cite any referenc
Lehigh - IE - 418
IE 418 Integer Programming Problem Set #4 AND Problem Set #5Due Date: April 27 Do the following problems. You may work with one other classmate. If you work alone, you will receive a 10% bonus. You are allowed to examine outside sources, but you mu
Lehigh - IE - 418
Department of Industrial and Systems Engineering Spring 2005Integer Programming(IE 418)Meeting: Monday and Wednesday 5:356:50PM 451 Mohler LabJeff LinderothOffice: 325 Mohler Office hours: Monday 89AM, Wednesday 78PM, (also by appt.) Phone: 61
Lehigh - PHYSICS - 21
Previous LectureB exerts force on moving chargesNo magnetic monopoles! Velocity selector Circular and spiral motion in a magnetic field p.Today Force on a current I Astrophysics examples Torque on a current loop DC electric motors
Lehigh - PHYSICS - 21
MagnetismB exerts force on moving charges: F =IlB dF = I dl B F = qvBMoving charges (i.e, I ) create B p.First Hour ExamExam Thurs., Oct. 4 at 4:10 pm covers Reading assignments through chapter 27 Lectures through dc motor demo (today) Home
Lehigh - PHYSICS - 21
Previous Lecture dc motor Biot-Savart LawB of a current loop p.Today Results of Exam Ampere's Law Magnetic materials p.Results of HT-1Number of Studentsmean 61 range 13-99Score p.Results of HT-1C B ANumber of Studentsm
Lehigh - IE - 495
IE 495 Stochastic Programming Problem Set #2Due Date: February 26, 2003 Do all three of the following problems. If you work alone, you will receive a 10% bonus on your score. You are allowed to examine outside sources, but you must cite any referen
Lehigh - IE - 418
IE 418: Integer Programming SyllabusDr. Ted Ralphs Spring 20071Miscellaneous Course InformationDr. Ted Ralphs 473 Mohler Lab 8-4784 tkr2 TR 5:30-6:30 or by appointment http:/www.lehigh.edu/~tkr2 http:/www.lehigh.edu/~tkr2/teaching/ie406/ TR 7:0
Lehigh - IE - 418
Sample Examination Questions IE418 Integer Programming Dr. Ralphs1. Consider a scheduling model in which a machine can be switched on at most k times during a horizon of T periods. In this model, there are two sets of variables: yt = 1 if the machi
Lehigh - PHYSICS - 31
Physics 31: Homework #1 Due Thursday, January 24, 2008 Problem A: A light source of wavelength illuminates a metal and ejects photoelectrons with a maximum kinetic energy of 1.0 eV. A second light source with half the wavelength of the first ejects
Lehigh - MATH - 205
Week 6: 3.6 Cooling/Mixing 3.9 Numerical Solutions 4.1 Higher Order DE2Problem: A 200L tank is half full of a solution containing 100g of a desolved chemical. A solution containing 0.5 g/L of the same chemical is pumped into the tank at a rate of
Lehigh - MATH - 205
Week 7: 0. 4.1 2nd Order Linear Equations 1. 4.2 Constant Coef, Homogeneous DE 2. 4.3 Undetermined Coef 3. 4.5 Springs (Homog case)2General Solution: (1) to solve the 2nd order linear DE y + a1 y + a2 y = 0 find two linearly independent solutions
Lehigh - MATH - 205
Week 7: 2. 4.3 Undetermined Coef [Tables] TABLE of trial yp : Usual trial yp F (x) ceax ceax cos(bx) or ceax sin(bx) cxk Usual yp = A0 eax yp = eax (A0 cos(bx)+ B0 sin(bx) yp = A0 + A1 x + + Ak xk ModifiedWhen: The root associated with F (x) is
Lehigh - MATH - 205
Week 8: 1. 6.1 1st order systems of DE (briefly!) 2. 5.4 Eigenvalues and Eigenvectors 3. 5.5 Eigenspaces and Diagonalization2A vector v = 0 in Rn (or in Cn ) is an eigenvector with eigenvalue of an n-by-n matrix A if Av = v. We re-write the vect
Lehigh - MATH - 205
Week 10: 1. Supplement, Part A (2nd assignment) 2. 6.1 1st order systems of DE 3. 6.2 Diagonalizable Homog Systems2Recall that Part A of the supplement had an extended discussion of a 2-by-2 non-diagonalizale example A.3, then A.5 and in final f
Lehigh - MATH - 205
Week 12: (due Tuesday, accepted Thursday) 1. 6.4 non-homog systems (text Example 1, soln #5)2Written Question 1: Overall, the instructor's use of in-class overhead slides was effective Written Question 2: Overall, the quality of printed or online
Lehigh - MATH - 205
Math 205HOMEWORK ASSIGNMENTS: (complete)Spring, 2006(TuTh schedule. Shift Thurs to Fri for MWF.) 2.5 Wronskians - 1, 4, 5, 7 3.1 Intro DE - 5, , 8, 9, 12, 22, 25 3.2 Separable Equations - 2, 3, 5, 6, 7, 13, 14 3.4 Linear Equations - 1, 2, 5, 6,
Lehigh - MATH - 205
Math 205 1. Instructor: See Staff.Policy StatementFall, 20062. Text: Peterson-Sochacki, Linear Algebra and Differential Equations. Selected portions of Chapters 1-6 will be covered, with additional material on Section 5.5 (Jordan Canonical Form
Lehigh - MATH - 205
Math 205, Spring 2006 B. Dodson New text - Peterson-Sochacki -1. Course Info 2. Week 1 Homework: 1.1 (1st half), 1.2 Intro Due Thurs! -An m n matrix A is an array with m horizontal rows; n vertical columns i, jth entry ai,j in the ith row, and jth c
Lehigh - MATH - 205
Math 205, Spring 2006 B. Dodson Week 2: Ax = 0, homog.; Matrix Inverse. The Rank of a matrix is defined to be the number of non-zero rows in the RREF of the matrix. We do not necessarily need the RREF or even a REF to find the rank; for example, a (s
Lehigh - MATH - 205
Week 3: 1. 1.5 Determinants 2. 1.6 Properties of Dets 3. 2.1 Vector Spaces - 2 1 We compute det 4 2 9 5 5 3 using the 1(first) row expansion (by minors): det(A) = 2 2 5 4 2 4 3 3 +5 -1 9 5 9 1 1= 2(2 - 15) - (4 - 27) + 5(20 - 18) = 2(-13) - (
Lehigh - MATH - 205
Week 4: (2.1 Rn and Vector Spaces - finish) 2.2 Subspaces/Spanning 2.3 Independence/Bases 2.4 Nullspaces - 1. Vector addition; scalar multiplication in R2 . Vectors are x = (x, y), with x, y real numbers. (x1 , y1 ) + (x2 , y2 ) = (x1 + x2 , y1 + y2
Lehigh - MATH - 205
Week 5: 2.5 Wronskian 3.1 Intro, Slope Fields, verify solution 3.2 Separable DE 3.4 Linear Equations - Problem: Verify that the function y = c1 x is a y solution of y = 2x Solution: Compute y and check.1 y = c1 ( 2 )x- 2 .1 y c1 x = 2x 2x x = c