## Fall 2004

Math 484, Linear Programming .   TR.  First Class is on Th. September 2.
322 SACKETT  9:45-11 am (Section 1);
105 OSMOND  11:15 am.-12:30 pm  (Section 2).
textbook: Introduction to Linear Programming,  Prentice Hall, 2003.
title page: ps | pdf ||  copyright page:  ps | pdf ||  contents&preface: ps | pdf ||
student's manual: ps | pdf ||  corrections in plain text |
outlines & grading | integrity | sci integrity |
office hours:  TR 8-9:30 a.m.  6C Thomas.
Perpetual homework
: do all exercises in the textbook (more complicated ones are solved in the manual).
Bonus homework. Prove that   x2+y2 <= 1 is not a linear constraint on x,y. Graded.
Homework 1, 25 pts, due Th. Sept. 16, the beginning of class.: Exerrcise 2 in § 2.
100% = 37 points after h1.
Solving systems of linear equations
Bonus homework. Find two infinite square matrices A, B such that AB = 1 /= BA. Graded.
A solution  uses  the differentiation  xk ->  kxk-1 and integration  xk -> xk+1/(k+1).
on the space of polynomials in x.

Midterm 1 on October  5.  Section 1.  Section 2.
Homework 2.  §10, Ex. 8, due Th.  Oct  14, 10 pts (give answer and details too).
Midterm 2  on Th.  Oct 28. Section 1. Solutions. || Section 2. Solutions
Homework 3, due Nov. 11. Section 2.
Midterm 3 on Dec. 2.  Section 1. Section 2.
Last class on Dec. 9.
Section 1, 32 grades:   7 WF, WP, 2 W,   F,          2 C,  2 C+, ... ,
Section 2, 46 grades:   3 WF, WP, 2 W, 3 F, 3 D, 4 C,  2 C+, ... .
a jod |

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15. Linear algebra:  International Linear Algebra Society   | definitions |
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03 Logic: fallacy ||  Dantzig    at Stanford || Kantorovich | Nash |
90. Operations research, mathematical programming:   | Mathematical Programming Glossary  | FAQ on LP |
|   Bibliography for Discrete Event Systems Simulation: Optimization and Sensitivity Analysis    |
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simplex |
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blackjack  | blackjack| Nim  || car &goats (the Monty Hall problem) | 2 | 3 |4 | 5 | games and math programming  | matrix game solver |
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