2008-2009 Bulletin â PDF - SEAS Bulletin - Columbia University
2008-2009 Bulletin â PDF - SEAS Bulletin - Columbia University
2008-2009 Bulletin â 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>