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

industrial engineering: Third and Fourth Years
159
Semester V Semester VI Semester VII Semester VIII
MATH E1210 (3)
Ordinary diff. equations
IEOR E3106 (3)
Stochastic models
Required
Courses 1 IEOR E3608 (4)
Mathematical prog.
COMS W4111 (3)
Database systems
IEOR E3402 (4)
Production planning
IEOR E4404 (4)
Simulation
IEOR E4003 (3)
Industrial econ.
IEOR E4207 (3)
Human factors
IEOR E4705 (3)
Studies in operations
research
IEOR E4405 (3)
Prod. scheduling
IEOR E4412 (3)
Quality control and
management
IEOR E4510 (3)
Project management
technical
electives
NONTECH
electives
Industrial
Engineering
Electives
Choose one (3 pts.): Please consult the list on the departmental website: www.ieor.columbia.edu
Complete 27-point requirement. See page 10 or www.engineering.columbia.edu for details.
Choose two (6 pts.): IEOR E4210, IEOR E4418, or IEME E4310
1 Taking required courses later than the prescribed semester is not permitted.
(DCF) project evaluation methods; deterministic
and probabilistic measures of risk; capital
budgeting.
IEOR E3106x Introduction to operations
research: stochastic models
3 pts. Lect: 3. Professor Whitt.
Prerequisite: SIEO W3600. For undergraduates
only. This course is required for all undergraduate
students majoring in IE, OR:EMS, OR:FE, and OR.
This class must be taken during (or before) the
fifth semester. Some of the main stochastic models
used in engineering and operations research
applications: discrete-time Markov chains, Poisson
processes, birth and death processes and other
continuous Markov chains, renewal reward
processes. Applications: queueing, reliability,
inventory, and finance. IEOR E3106 must be
completed by the fifth term. Only students with
special academic circumstances may be allowed
to take these courses in alternative semesters
with the consultation of CSA and Departmental
advisers.
IEOR E3402y Production inventory planning
and control
4 pts. Lect: 3. Recit: 1. Professor Truong.
Prerequisites: SIEO W3600 Probability and
Statistics and IEOR E3608 Introduction to OR:
Mathematical programming. For undergraduates
only. This course is required for all undergraduate
students majoring in IE, OR:EMS, OR:FE, and
OR. This class must be taken during (or before)
the sixth semester. Inventory management and
production planning. Continuous and periodic
review models: optimal policies and heuristic
solutions, deterministic and probabilistic demands.
Material requirements planning. Aggregate
planning of production, inventory, and work force.
Multi-echelon integrated production-inventory
systems. Production scheduling. Term project.
Recitation section required.
SIEO W3600y Introduction to probability
and statistics
4 pts. Lect: 3. Recit: 1. Instructor to be announced.
Prerequisite: Calculus. For undergraduates only.
This course is required for undergraduate students
majoring in IE, OR:EMS, and OR. This class must
be taken during the fourth semester. Fundamentals
of probability and statistics used in engineering
and applied science. Probability: random variables,
useful distributions, expectations, law of large
numbers, central limit theorem. Statistics: point and
confidence interval estimation, hypothesis tests,
linear regression. SIEO W3600 must be completed
by the fourth term. Only students with special
academic circumstances may be allowed to take
these courses in alternative semesters with the
consultation of CSA and Departmental advisers.
Recitation section required.
IEOR E3608x Introduction to mathematical
programming
4 pts. Lect: 3. Recit: 1. Professor Chudnovsky.
Prerequisite: MATH V2010 Linear algebra.
Corequisite: COMS W3134 (or COMS W3137
Data structures). For undergraduates only.
This course is required for all undergraduate
students majoring in IE, OR:EMS, OR:FE, and
OR. This class must be taken during (or before)
the fifth semester. Introduction to mathematical
programming models and computational
techniques. Linear programming and the
simplex method, dynamic programming, implicit
enumeration for integer programs; production
planning applications. IEOR E3608 must be
completed by the fifth term. Only students with
special academic circumstances may be allowed
to take these courses in alternative semesters
with the consultation of CSA and Departmental
advisers. Recitation section required.
IEOR E3658x Probability
3 pts. Lect: 3. Professor Olvera-Cravioto.
Prerequisite: Calculus. For undergraduates
only. This course is required for the OR:FE
concentration. This class must be taken during
(or before) the third semester. Fundamentals of
probability theory. Distributions of one or more
random variables. Moments, generating functions,
law of large numbers and central limit theorem.
IEOR E3900x and y Undergraduate research
or project
1–3 pts. Members of the faculty.
Prerequisite: Approval by a faculty member who
agrees to supervise the work. Independent work
involving experiments, computer programming,
analytical investigation, or engineering design.
IEOR E4000x Production and operations
management
3 pts. Lect: 3. Professor Goyal.
Prerequisites or Corequisite: Probability theory
and linear programming. Required course for
MSIE. An introduction to production management
for students not having an industrial engineering
bachelor’s degree. Topics include deterministic
inventory models, aggregate production planning,
material requirements planning, forecasting,
stochastic inventory models and supply chain
management. Emphasis is on modeling and its
implications for managerial decisions.
engineering 2011–2012