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2008-2009 Bulletin – PDF - SEAS Bulletin - Columbia University

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OPERATIONS RESEARCH: FINANCIAL ENGINEERING:<br />

THIRD AND FOURTH YEARS<br />

161<br />

SEMESTER V SEMESTER VI SEMESTER VII SEMESTER VIII<br />

IEOR E3608 (4) IEOR E3402 (4) IEOR E4307 (3) IEOR E4500 (3)<br />

Mathematical prog. Production planning Forecasting Applications prog. for FE<br />

REQUIRED<br />

COURSES<br />

IEOR E3106 (3) IEOR E4404 (4) IEOR E4407 (3) IEOR E4630 (3)<br />

Stochastic models Simulation Game theoretic models Applied FE<br />

of operations<br />

IEOR E4003 (3) IEOR E4700 (3) ECON E3412 (3)<br />

Industrial econ. Intro. to FE IEOR E4620 (3) Intro. to econometrics<br />

Pricing models for FE<br />

ECON W3213 (3) COMS W4111 (3)<br />

Macroeconomics<br />

Database systems<br />

ECON W3211 (3)<br />

Microeconomics<br />

ELECTIVES<br />

APMA<br />

FE TECH<br />

NONTECH<br />

Choose two (6 points total): IEOR E4405, IEOR E4600, IEOR E4709, CSOR W4231, APMA E4300,<br />

BUSI F3008, MATH V4061, SIEO W4801, SIEO W4802<br />

Complete 27-point requirement; see page 11 or www.engineering.columbia.edu for details<br />

instructor’s permission. Introduces quantitative<br />

techniques and state-of-the-art practice of operations<br />

research relevant to the design and both the<br />

tactical and strategic management of logistical<br />

and transportation systems. Discusses a wide<br />

variety of passenger and freight systems, including<br />

air, urban and highway traffic, rail, and maritime<br />

systems. Explores the practice of revenue<br />

management and dynamic pricing. Through case<br />

studies, analyzes successes and failures in thirdparty<br />

logistics, postal, truck and rail pickup and<br />

delivery systems. Investigates large-scale integrated<br />

logistics and transportation systems and<br />

studies the underlying principles governing transportation<br />

planning, investment and operations.<br />

IEOR E4500y Applications programming for FE<br />

Lect: 2.5. 3 pts. Professor Bienstock.<br />

Prerequisites: Programming in Java, C, or C++<br />

and the instructor’s approval. In this course we will<br />

take a hands-on approach to developing computer<br />

applications for OR and FE. Beginning with basic<br />

programs, we will work our way to full-blown systems<br />

with graphical interfaces that exercise important<br />

uses of operations research and financial<br />

engineering. Examples: simulation of stock price<br />

evolution, tracking and evaluation of a stock portfolio,<br />

simulation of a transportation system, optimization<br />

of an inventory system. In the course of developing<br />

these applications, we will review topics of interest<br />

to OR/FE in a holistic fashion.<br />

IEOR E4550x Entrepreneurial business<br />

creation for engineers<br />

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

Prerequisites: ECON W1105 and ECON W2261.<br />

Introduces the basic concepts and methodologies<br />

that are used by the nonengineering part of the<br />

world in creating, funding, investing in, relating to,<br />

and operating entrepreneurial ventures. The first<br />

half of the course focuses on the underpinning<br />

principles and skills required in recognizing, analyzing,<br />

evaluating, and nurturing a business idea.<br />

The second half focuses on basic legal knowledge<br />

necessary in creating a business entity,<br />

defending your business assets, and promoting<br />

effective interaction with other individuals and<br />

organizations.<br />

IEOR E4600y Applied integer programming<br />

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

Prerequisites: IEOR E3608 and E4004, linear<br />

algebra (MATH V2010 or APMA E3101), and a<br />

working knowledge of computer programming.<br />

Applications of mathematical programming techniques,<br />

especially integer programming, with<br />

emphasis on software implementation. Typical<br />

applications: capacity expansion, network design,<br />

and scheduling.<br />

IEOR E4601y Dynamic pricing and revenue<br />

management<br />

Lect: 2.5. 3 pts. Professor Gallego.<br />

Prerequisite: SIEO W4150 and IEOR E4004.<br />

Focus on capacity allocation, dynamic pricing and<br />

revenue management. Perishable and/or limited<br />

product and pricing implications. Applications to<br />

various industries, including service, airlines,<br />

hotel, resource rentals, etc.<br />

IEOR E4602y Quantitative risk management<br />

Lect: 2.5. 3 pts. Professor Blanchet.<br />

Prerequisite: SIEO W4150 and IEOR E4106. Risk<br />

management models and tools; measure risk<br />

using statistical and stochastic methods, hedging,<br />

and diversification. Examples include insurance<br />

risk, financial risk, and operational risk. Topics<br />

covered include VaR, estimating rare events,<br />

extreme value analysis, time series estimation of<br />

extremal events, axioms of risk measures, hedging<br />

using financial options, credit risk modeling,<br />

and various insurance risk models.<br />

IEOR E4620y Applied financial engineering<br />

Lect: 2.5. 3 pts. Professor Dehnad.<br />

Prerequisite: IEOR E4700. Characteristics of<br />

commodities or credit derivatives. Case study and<br />

pricing of structures and products. Topics covered<br />

include swaps, credit derivatives, single tranche<br />

CDO, hedging, convertible arbitrage, FX, leverage<br />

leases, debt markets, and commodities.<br />

IEOR E4630x Pricing models for financial<br />

engineering<br />

Lect: 2.5. 3 pts. Professor Dehnad.<br />

Prerequisite: IEOR E4700. Models for pricing and<br />

hedging equity, fixed-income, credit-derivative<br />

securities, standard tools for hedging and risk<br />

management, models and theoretical foundations<br />

for pricing equity options (standard European,<br />

<strong>SEAS</strong> <strong>2008</strong>–<strong>2009</strong>

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