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

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one technology area and at least one
management area.
Due to the flexibility of this option, it
can incorporate the varied educational
needs of preprofessional students
interested in law, medicine, business,
and finance. In addition, most students
are encouraged to add a minor in
economics or computer science to their
standard course schedules.
B.S. in Operations Research:
Financial Engineering
The operations research concentration
in financial engineering is designed to
provide students with an understanding
of the application of engineering
methodologies and quantitative
methods to finance. Financial
engineering is a multidisciplinary
field integrating financial theory with
economics, methods of engineering,
tools of mathematics, and practice of
programming. Students graduating with
this concentration are prepared to enter
careers in securities, banking, financial
management, and consulting industries,
and fill quantitative roles in corporate
treasury and finance departments of
general manufacturing and service firms.
Students who are interested in
pursuing the rigorous concentration in
financial engineering must demonstrate
proficiency in calculus, computer
programming, linear algebra, ordinary
differential equations, probability,
and statistics. Applications to the
concentration are accepted during
the fall and spring semesters of the
sophomore year, and students will be
notified of the departmental decision by
the end of that spring semester. The
department is seeking students who
demonstrate strength and consistency
in all the above-mentioned areas.
Application to this concentration is
available online: www.ieor.columbia.
edu/pages/undergraduate/financial_eng/
bsfe_app.html.
Undergraduate Advanced Track
The undergraduate advanced
track is designed for advanced
undergraduate students with the desire
to pursue further higher education
after graduation. Students with a
minimum cumulative GPA of 3.4 and
faculty approval have the opportunity
to participate. Students are invited to
apply to the track upon the completion
of their sophomore year. Advanced
track students are required to take
higher-level IEOR courses, including the
following:
IEOR E4004 instead of IEOR E3608
IEOR E4106 instead of IEOR E3106
IEOR E4403 instead of IEOR E4003
and MATH V2500
Students successfully completing
the requirements of the undergraduate
advanced track will receive recognition
on their academic record.
Minors
A number of minors are available for
students wishing to add them to their
programs. These minors are described
starting on page 190 of this bulletin.
IEOR program students may want
to consider minors in economics
or computer science. In addition,
operations research and engineering
and management systems majors may
elect to minor in industrial engineering,
and industrial engineering majors may
elect to minor in operations research.
The department does not offer a
minor in engineering management
systems or financial engineering.
Graduate Programs
The Department of Industrial
Engineering and Operations Research
offers courses and M.S. programs
in (1) industrial engineering and (2)
operations research on either a fullor
part-time basis and (3) financial
engineering on a full-time basis only.
The Department is launching the new
M.S. program in Management Science
and Engineering in conjunction with
the Columbia Graduate School of
Business. 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) or its equivalent in an
undergraduate engineering program
is required for admission to the M.S.
and professional degree programs. At
a minimum, students are expected,
on entry, to have completed courses
in ordinary differential equations, linear
algebra, probability, and a programming
language such as C or Java.
M.S. in Management Science and
Engineering
The Master of Science program
in Management Science and
Engineering (MS&E), offered by the
IEOR Department in conjunction with
Columbia Business School, is the
first such program between Columbia
Engineering and Columbia Business
School. It reflects the next logical step
in the longstanding close collaboration
between the IEOR Department at the
Engineering School and the Decision,
Risk, and Operations (DRO) Division at
the Business School.
This program was formed and
structured following many interactions
with corporations, alumni, and students.
It emphasizes both management and
engineering perspectives in solving
problems, making decisions, and
managing risks in complex systems.
Students pursuing this degree program
are provided with a rigorous exposure
to optimization and stochastic modeling,
and a deep coverage of applications in
the areas of operations engineering and
management.
The MS&E program is a threesemester
program (36 points) that can
be completed in a single calendar year.
Students enter in the fall term and can
either finish their course work at the end
of the following August, or alternatively,
have the option to take the summer
term off (e.g., for an internship) and
complete their course work by the end
of the following fall term. Students are
required to take the equivalent of 12
3-point courses (36 points), provided
they have adequate preparation in the
areas of probability/statistics. In the
absence thereof, they are required to
engineering 2011–2012