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2011-2012 Bulletin – PDF - SEAS Bulletin - Columbia University

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156<br />

M.S. in Industrial Engineering<br />

The department’s graduate program<br />

in industrial engineering are generally<br />

intended to enable students with<br />

industrial engineering bachelor’s degrees<br />

to enhance their undergraduate training<br />

with studies in special fields such as<br />

production planning, inventory control,<br />

scheduling, and industrial economics.<br />

However, the department also offers<br />

broader master’s and professional<br />

degree programs for engineers whose<br />

undergraduate training is not in industrial<br />

engineering.<br />

M.S. degree candidates are required<br />

to satisfy a core program of graduate<br />

courses in production management,<br />

probability theory, statistics, simulation,<br />

and operations research. Students with<br />

B.S. degrees in industrial engineering will<br />

usually have satisfied this core in their<br />

undergraduate programs. All students<br />

must take at least 18 points of graduate<br />

work in industrial engineering and at<br />

least 30 points of graduate studies at<br />

<strong>Columbia</strong>. Master’s degree programs<br />

may include concentrations in:<br />

engineering and management systems<br />

production and operations management<br />

manufacturing<br />

industrial regulation studies<br />

Additional details regarding<br />

these concentrations are available<br />

in the department office. A thesis<br />

is not required. Students who plan<br />

post–master’s degree studies<br />

should give due consideration to the<br />

course, examination, and admission<br />

requirements of these programs.<br />

The department requires that<br />

students in the program achieve<br />

grades of B– or higher in each of the<br />

fundamental core courses (IEOR E4004<br />

and IEOR E4106). Poor performance<br />

in these courses is indicative of<br />

inadequate preparation and is very<br />

likely to lead to serious problems in<br />

completing the program. In addition,<br />

students must maintain a cumulative<br />

GPA equivalent to a B– during every<br />

term enrolled. A student failing to meet<br />

these criteria may be asked to withdraw<br />

from his/her program.<br />

The professional degree of Industrial<br />

Engineer requires a minimum of 60<br />

points of graduate credit with at least<br />

30 points beyond the M.S. degree in<br />

industrial engineering. The complete<br />

M.S. in Financial Engineering—May <strong>2012</strong> Completion (36 points) 1<br />

Summer Semester<br />

Fall Semester<br />

Spring Semester<br />

(9 points) 2 (12 points) 2 (15 points) 2<br />

Required core courses:<br />

IEOR E4701 Stochastic models<br />

for financial engineering<br />

IEOR E4702 Statistical inference<br />

for financial engineering (1.5)<br />

IEOR E4706 Foundations of<br />

financial engineering<br />

IEOR E4729 Financial markets,<br />

institutions, and risk (1.5)<br />

Required core courses:<br />

IEOR E4007 Optimization for<br />

financial engineering<br />

IEOR E4707 Continuous time<br />

finance<br />

IEOR E4709 Data analysis for<br />

financial engineering<br />

Elective<br />

60-point program includes (a) 30 points<br />

completed in ten core courses, (b) a<br />

concentration of at least four courses,<br />

(c) other electives and (possibly) deficiencies.<br />

A minimum of twelve courses,<br />

providing 36 points of credit, must be<br />

industrial engineering courses taken<br />

from departmental course offerings or at<br />

other institutions where advanced standing<br />

is given. A thesis is not required.<br />

M.S. in Operations Research<br />

The graduate program in this area is<br />

designed to enable students to concentrate<br />

their studies in methodological areas<br />

such as mathematical programming, stochastic<br />

models, and simulation. However,<br />

the department also has a broadly based<br />

master’s degree program that enables<br />

Required core course:<br />

IEOR E4703 Monte Carlo<br />

simulation<br />

Choose four from the courses<br />

below, plus one other course in<br />

consultation with faculty adviser 3 :<br />

IEOR E4500 Applications programming<br />

for financial engineering<br />

IEOR E4602 Quantitative risk<br />

management<br />

IEOR E4630 Asset allocation<br />

IEOR E4708 Seminar on<br />

important papers in financial<br />

engineering<br />

IEOR E4710 Term structure<br />

modeling<br />

IEOR E4718 Intro to implied<br />

volatility smile<br />

IEOR E4731 Credit risk and<br />

credit derivatives<br />

DRAN B8835 Security pricing<br />

models<br />

1 Students may conclude the program in May, August, or December <strong>2011</strong>. Please visit the departmental<br />

website (www.ieor.columbia.edu/pages/graduate/ms_financial_eng/index.html) for more information.<br />

2 All courses listed are for 3 points, unless stated otherwise.<br />

3 Other courses include experimental finance, foreign exchange and related derivative instruments, hedge<br />

fund management, structured products, etc. Specific offerings may vary each term.<br />

students with engineering or other<br />

undergraduate majors that include strong<br />

mathematics preparation to complete<br />

work in two terms of full-time study.<br />

M.S. degree candidates are required<br />

to satisfy a core set of graduate courses<br />

in probability, statistics, linear programming,<br />

and simulation. All students must<br />

complete at least 18 points of operations<br />

research courses and at least 30<br />

points of graduate work at <strong>Columbia</strong>.<br />

The department considers it desirable<br />

that students construct balanced<br />

programs involving deterministic and<br />

stochastic models, as well as substantive<br />

areas for application.<br />

The M.S. degree program may be<br />

constructed to include the following<br />

areas of focus:<br />

engineering <strong>2011</strong>–<strong>2012</strong>

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