2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
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162<br />
OPERATIONS RESEARCH: ENGINEERING MANAGEMENT SYSTEMS:<br />
FIRST AND SECOND YEARS<br />
SEMESTER I SEMESTER II SEMESTER III SEMESTER IV<br />
MATHEMATICS<br />
MATH V1101 (3) MATH V1102 (3) MATH V1201 (3) Linear algebra (3) 1<br />
PHYSICS<br />
(three tracks, choose one)<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 />
management, trading and technology in financial<br />
markets.<br />
IEOR E4724x Topics in quantitative finance:<br />
hedge fund management<br />
Lect: . 1.5–3 pts. Professor Metzger.<br />
The course covers the critical managerial aspects<br />
and characteristics of hedge funds and the hedge<br />
fund industry, including legal regulations, strategies,<br />
risk management, performance evaluation, etc.<br />
IEOR E4725y or s Topics in quantitative<br />
finance: numerical solutions of partial<br />
differential equations<br />
Lect: . 1.5–3 pts. Professor Kani.<br />
The course covers derivations and solutions of<br />
partial differential equations under a variety of<br />
underlying stochastic price processes. Students<br />
will gain exposure to applications of partial differential<br />
equations to security pricing in different<br />
financial markets (i.e., equity derivatives, fixed<br />
income securities, and credit derivative markets).<br />
IEOR E4726y Topics in quantitative finance:<br />
experimental finance<br />
Lect: . 3 pts. Professors Stanton and Lipkin.<br />
The course introduces concepts to propose trading<br />
schema, organize tests via options/stock databases,<br />
and carry out tests efficiently and accurately.<br />
It exposes students to the striking differences<br />
between static, thermodynamic/SDE model solutions<br />
and real (time-of-flight) pricing. They will<br />
become familiar with computational techniques for<br />
modeling and testing proposals for trading strategies.<br />
IEOR E4731y Credit derivatives<br />
Lect: 2.5. 3 pts. The faculty.<br />
Prerequisites: IEOR E4701 and E4707.<br />
Introduction to quantitative modeling of credit risk,<br />
with a focus on the pricing of credit derivatives.<br />
Focus on the pricing of single-name credit derivatives<br />
(credit default swaps) and collateralized debt<br />
obligations (CDOs). Detail topics include: default<br />
and credit risk, arbitrage pricing, default times,<br />
single-name credit derivatives, structured models<br />
for single-name credit risk, multi-name default<br />
barrier models and multi-name reduced form models.<br />
IEOR E4900x, y, and s Master’s research or<br />
project<br />
1 to 3 pts. The faculty.<br />
Prerequisite: Approval by a faculty member who<br />
<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>