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2009-2010 Bulletin – 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>

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