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2009-2010 Bulletin – PDF - SEAS Bulletin - Columbia University

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158<br />

INDUSTRIAL ENGINEERING: FIRST AND SECOND YEARS<br />

SEMESTER I SEMESTER II SEMESTER III SEMESTER IV<br />

MATHEMATICS<br />

PHYSICS<br />

(three tracks, choose one)<br />

MATH V1101 (3) MATH V1102 (3) MATH V1201 (3) Linear algebra (3) 1<br />

Chemistry or physics lab:<br />

C1401 (3) C1402 (3) PHYS C1493 (3) or<br />

C1601 (3.5) C1602 (3.5) PHYS W3081 (2) or<br />

C2801 (4.5) C2802 (4.5) CHEM C1500 (3) or<br />

CHEM C2507 (3) or<br />

CHEM C3085 (4) or<br />

CHEMISTRY<br />

(choose one course)<br />

ENGLISH<br />

COMPOSITION<br />

(three tracks, choose one)<br />

C1403 (3) or C1404 (3) or<br />

C1604 (3.5) or C3045 (3.5)<br />

C1010 (3)<br />

Z1003 (0) C1010 (3)<br />

Z0006 (0) Z1003 (0) C1010 (3)<br />

REQUIRED<br />

NONTECHNICAL<br />

ELECTIVES<br />

ECON W1105 (4) and W1155 recitation (0)<br />

either semester<br />

HUMA C1001, C0CI C1101, HUMA C1002, C0CI C1102,<br />

or Global Core (3–4) or Global Core (3–4)<br />

HUMA W1121 or W1123 (3)<br />

either semester<br />

FIRST- AND SECOND-<br />

YEAR DEPT.<br />

REQUIREMENTS<br />

COMPUTER<br />

SCIENCE<br />

PHYSICAL<br />

EDUCATION<br />

GATEWAY LAB<br />

Professional-level course (3) (see pages 12–13) ENGI E2261 (3) SIEO W3600 (4)<br />

C1001 (1) C1002 (1)<br />

E1102 (4) either semester<br />

COMS W1004 (Java) (3) or<br />

COMS W1007 (Java) (3) 2<br />

and<br />

COMS W3134 (3) or<br />

COMS W3137 (4) 2<br />

1 The linear algebra requirement may be filled by either MATH V<strong>2010</strong> or APMA E3101.<br />

IEOR E4403x Advanced engineering and<br />

corporate economics<br />

Lect: 3. 3 pts. Professor Kachani.<br />

Prerequisites: SIEO W3600 (or W4150) and IEOR<br />

E3608 (or E4004). Key measures and analytical<br />

tools to assess the financial performance of a firm<br />

and perform the economic evaluation of industrial<br />

projects. Deterministic mathematical programming<br />

models for capital budgeting. Concepts in utility<br />

theory, game theory, and real options analysis.<br />

IEOR E4404x and y Simulation<br />

Lect: 3. Rec. 1. 4 pts. x: Professor Blanchet;<br />

y: The faculty.<br />

Prerequisites: SIEO W3600 or W4150 and knowledge<br />

of Java, C, C++, or FORTRAN. Generation of<br />

random numbers from given distributions; variance<br />

reduction; statistical output analysis; introduction to<br />

simulation languages; application to financial,<br />

telecommunications, computer, and production systems.<br />

Off-campus M.S. students may register for the<br />

3-point lecture only. Undergraduate students must<br />

register for 4 points. Note: Students who have taken<br />

IEOR E4703 may not register for this course.<br />

IEOR E4405y Production scheduling<br />

Lect: 3. 3 pts. Professor Stein.<br />

Prerequisites: SIEO W3600 or W4150 and IEOR<br />

E3608 or E4004, and a working knowledge of<br />

computer programming. Job shop scheduling:<br />

parallel machines, machines in series; arbitrary<br />

job shops. Algorithms, complexity, and worst-case<br />

analysis. Effects of randomness: machine breakdowns,<br />

random processing time. Term project.<br />

IEOR E4406x Facilities location, routing, and<br />

network design<br />

Lect: 3. 3 pts. Professor Luss.<br />

Prerequisites: IEOR E3608 or E4004. Facility location<br />

problems in application areas such as telecommunications<br />

networks, product distribution systems and emergency<br />

services. Emphasis on applications, algorithmic<br />

approaches, routing, and network design problems.<br />

IEOR E4407x Game theoretic models of operations<br />

Lect: 3. 3 pts. Professor Sethuraman.<br />

Prerequisites: IEOR E4004 (or E3608), E4106 (or<br />

E3106), and familiarity with differential equations and<br />

a programming language; or the instructor’s permission.<br />

A mathematically rigorous study of game theory<br />

and auctions, and their application to operations management.<br />

Topics include introductory game theory,<br />

private value auction, revenue equivalence, mechanism<br />

design, optimal auction, multiple-unit auctions,<br />

combinatorial auctions, incentives, and supply chain<br />

coordination with contracts. No previous knowledge<br />

of game theory is required.<br />

<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>

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