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

one elective in industrial engineering or operations
research.
MATHEMATICS: Choose one of three tracks.
1. V1101, V1102, and V1201 (Calculus I, II, and
III), V2010 (Linear algebra);
or
2. V1105, V1106, and V1205 (Calculus I, II, and
III), V2010 (Linear algebra);
or
3. V1107, V1108, V1207, V1208.
COMPUTER SCIENCE
W1004 or W1007: Introduction to computer
programming
or
another approved computer science course that
involves substantial work in programming.
Special note: It is important to take IEOR
W3600 and IEOR E3608 as early as
feasible; they are prerequisites for most
other courses in the program.
GRADUATE PROGRAMS
The Department of Industrial Engineering
and Operations Research offers courses
and M.S. programs in (1) engineering
management systems, (2) financial engineering,
(3) industrial engineering, and (4)
operations research on either a full- or
part-time basis. Graduate programs
leading to a Ph.D. or Eng.Sc.D. in industrial
engineering or operations research,
as well as one leading to the professional
degree of Industrial Engineer, are also
available. In addition, the department and
the Graduate School of Business offer
combined M.S./M.B.A. degree programs
in industrial engineering, in financial engineering,
and in operations research.
All degree program applicants are
required to take the Aptitude Tests of
the Graduate Record Examination.
M.S./M.B.A. candidates are also required
to take the Graduate Management
Admissions Test.
A minimum grade point average of
3.0 (B) in an undergraduate engineering
program is required for admission to the
M.S. and professional degree programs.
Students are expected, on entry, to have
completed courses in ordinary differential
equations, in linear algebra, and in a programming
language such as C or Java.
Engineering Management Systems
The full-time M.S. program in engineering
management systems (EMS) provides
students with a curriculum that emphasizes
both technology and management
perspectives in solving problems, making
decisions, and managing risks in
complex systems. Students pursuing
this degree program are provided with
a rigorous exposure to deterministic
optimization and stochastic modeling,
a basic coverate of applications in the
areas of operations engineering and
management, and an in-depth coverage
of applications in the areas of the selected
concentration. Graduates from the program
are expected to assume positions
as business analysts in logistics, supply
chain, revenue management, and consulting
firms, and as financial analysts in
risk management departments of investment
banks, hedge funds, and credit
card and insurance firms.
The requirement for the M.S. in engineering
management systems degree
is ten 3-credit courses (two semesters
of full-time study). The program has two
concentrations: (1) logistics and supply
chain optimization (LSCO) and (2) revenue
and risk management (RRM).
Financial Engineering
The department offers a full-time M.S.
in financial engineering. This program is
intended to provide a unique technical
background for students interested in
pursuing career opportunities in financial
analysis and risk management.
In addition to the basic requirements
for graduate study, students are expected,
on entry, to have attained a high level of
mathematical and computer programming
skills, particularly in probability,
statistics, linear algebra, and the use of
a programming language such as C or
JAVA. Work experience is desirable but
not required.
The program consists of 36 points
(twelve courses), which can be taken
over a twelve-month period of full-time
studies, starting with a Part II six-week
summer session (July 7–August 29, 2008)
and ending with a Part I six-week summer
session (beginning July 3, 2009) the
following year. The requirements include
seven required core courses and additional
elective courses chosen from a
variety of departments or schools at
Columbia including the Graduate School
of Business, International Affairs,
Computer Science, Statistics, and
Economics. A sample schedule is available
in the department office, and on the
IEOR Web site: www.ieor.columbia.edu.
The seven required core courses for the
financial engineering program are IEOR
E4007, IEOR E4701, IEOR E4702, IEOR
E4703, IEOR E4706, IEOR E4707, and
IEOR E4709.
In addition, students select two semicore
courses from a group of specialized
offerings in the spring term. Electives are
chosen with the approval of an adviser.
Professional Degree in
Financial Engineering
The professional degree in financial engineering
requires a minimum of 60 points
(24 points beyond the M.S. in financial
engineering at Columbia). The complete
60-point program includes (1) ten core
courses as prescribed in the M.S. in
financial engineering and (2) select electives
in financial engineering, including
advanced graduate and doctoral-level
courses.
A minimum of 12 courses, providing
36 points of credit, must be financial
engineering courses taken from departmental
course offerings or at other
institutions where advanced standing
is given. A thesis is not required.
Industrial Engineering
The department’s graduate programs
in industrial engineering are generally
intended to enable students with industrial
engineering bachelor’s degrees to
enhance their undergraduate training with
studies in special fields such as production
planning, inventory control, scheduling,
and industrial economics. However,
the department also offers broader master’s
and professional degree programs
for engineers whose undergraduate
training is not in industrial engineering.
M.S. degree candidates are required
to satisfy a core program of graduate
courses in production management,
probability theory, statistics, simulation,
and operations research. Students with
B.S. degrees in industrial engineering will
usually have satisfied this core in their
undergraduate programs. All students
must take at least 18 points of graduate
work in industrial engineering and at
least 30 points of graduate studies at
153
SEAS 2008–2009