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

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156 OPERATIONS RESEARCH: FIRST AND SECOND YEARS SEMESTER I SEMESTER II SEMESTER III SEMESTER IV MATHEMATICS (three tracks, choose one; track jumping is prohibited) MATH V1101 (3) MATH V1102 (3) MATH V1201 (3) Linear algebra (3) 1 Honors math I Honors math II Honors math III Linear algebra (3) 2 Honors math I Honors math II Honors math III Honors math IV PHYSICS (three tracks, choose one) Chemistry or physics lab: C1401 (3) C1402 (3) PHYS C1493 (3) or C1601 (3.5) C1602 (3.5) PHYS W3081 (2) or C2801 (4.5) C2802 (4.5) CHEM C1500 (3) or CHEM C2507 (3) or CHEM C3085 (4) or CHEMISTRY (choose one course) ENGLISH COMPOSITION (three tracks, choose one) C1403 (3) or C1404 (3) or C1604 (3.5) or C3045 (3.5) C1010 (3) Z1003 (0) C1010 (3) Z0006 (0) Z1003 (0) C1010 (3) REQUIRED NONTECHNICAL ELECTIVES ECON W1105 (4) and W1155 recitation (0) either semester HUMA C1001, C0CI C1101, HUMA C1002, C0CI C1102, or Major Cultures (3–4) or Major Cultures (3–4) HUMA W1121 or W1123 (3) either semester FIRST- AND SECOND- YEAR DEPT. REQUIREMENTS COMPUTER SCIENCE PHYSICAL EDUCATION GATEWAY LAB Professional-level course (3) (see page 12) ENGI E2261 (3) SIEO W3600 (4) C1001 (1) C1002 (1) E1102 (4) either semester COMS W1004 (Java) (3) or COMS W1007 (Java) (3) 2 and COMS W3134 (3) or COMS W3137 (4) 2 1 The linear algebra requirement may be filled by either MATH V2010 or APMA E3101. 2 Computer programming should be taken consecutively with data structures. IEOR E3106x Introduction to operations research: stochastic models Lect: 3. 3 pts. Professor Whitt. For undergraduate students only. Prerequisite: SIEO W3600. 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 E3402y Production-inventory planning and control Lect: 3. Rec: 1. 4 pts. Professor Sethuraman. Prerequisites or corequisites: SIEO W3600 and IEOR E3608. 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. SIEO W3600y Introduction to probability and statistics Lect: 3. Rec: 1. 4 pts. Professor Sigman. Prerequisite: calculus. 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. IEOR E3608x Introduction to mathematical programming Lect: 3. Rec: 1. 4 pts. Professor Phillips. Prerequisite: Linear algebra (MATH V2010 or APMA E3101) and data structures. Introduction to mathematical programming models and computational techniques. Linear programming and the simplex method, dynamic programming, production planning applications. IEOR E3658x Probability Lect: 3. 3 pts. Professor Olvera-Cravioto. Prerequisite: a working knowledge of calculus. SEAS 2008–2009
OPERATIONS RESEARCH: THIRD AND FOURTH YEARS 157 SEMESTER V SEMESTER VI SEMESTER VII SEMESTER VIII MATH E1210 (3) IEOR E3402 (4) IEOR E4307 (3) IEOR E4405 (3) Ordinary diff. equations Production planning Forecasting Prod. scheduling REQUIRED COURSES IEOR E3608 (4) IEOR E4404 (4) IEOR E4003 (3) Mathematical prog. Simulation Industrial econ. IEOR E3106 (3) IEOR E4600 (3) IEOR E4407 (3) Stochastic models Applied integer prog. Game theoretic models of operations IEOR E4409 (3) Industrial info. sys. TECHNICAL ELECTIVES Choose four electives (12 pts. total); complete list is available at www.ieor.columbia.edu. At least two technical electives must be chosen from IEOR NONTECH ELECTIVES Complete 27-point requirement. See page 11 or www.engineering.columbia.edu for details Fundamentals of probability theory. Distributions of one or more random variables. Moments. Generating functions. Law of large numbers and central limit theorem. IEOR E3900x, y, and s Undergraduate research or project 1 to 3 pts. 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 management Lect: 3. 3 pts. The faculty. Prerequisites or corequisites: SIEO W4105 and IEOR E4004. 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. IEOR E4001y Design and management of production and service systems Lect: 3. 3 pts. Professor Riccio. Prerequisite: IEOR E4000 or E3402. Design and management problems in production and service systems: process design and capacity management, inventory system design and management, aggregate planning, staff scheduling, and quality control system design. IEOR E4003x Industrial economics Lect: 3. 3 pts. Professor Kachani. Prerequisites or corequisites: SIEO W3600 (or W4150) and IEOR E3608 (or E4004). Introduction to the economic evaluation of industrial projects. Economic equivalence and criteria. Deterministic approaches to economic analysis. Multiple projects and constraints. Analysis and choice under risk and uncertainty. IEOR E4004x and y Introduction to operations research: deterministic models Lect: 3. 3 pts. Professors Goldfarb and Chudnovsky. Prerequisite: Linear algebra (MATH V2010 or APMA E3101). For students who have not studied linear programming. Some of the main methods used in IEOR applications involving deterministic models: linear programming, the simplex method, nonlinear, integer and dynamic programming. IEOR E4007x Optimization models and methods for financial engineering Lect: 3. 3 pts. s: Professor Iyengar. Prerequisite: Linear algebra (MATH V2010 or APMA E3101). Linear, quadratic, nonlinear, dynamic, and stochastic programming. Some discrete optimization techniques will also be introduced. The theory underlying the various optimization methods is covered. The emphasis is on modeling and the choice of appropriate optimization methods. Applications from financial engineering will be discussed. IEOR E4106x and y Introduction to operations research: stochastic models Lect: 3. 3 pts. Professors Yao and White. For graduate and undergraduate advanced track students only. Prerequisite: SIEO W3600 or W4150. 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. SIEO W4150x Introduction to probability and statistics Lect: 3. 3 pts. Professor Gallego. Prerequisite: a working knowledge of calculus. Fundamentals of probability theory and statistical inference used in engineering and applied science. Probabilistic models, random variables, useful distributions, expectations, law of large numbers, central limit theorem. Statistical inference: point and confidence interval estimation, hypothesis tests, linear regression. IEOR E4201x The engineering of management, I Lect: 3. 3 pts. Professors Fordyce and Norden. Analytical models of the processes of managing and engineering. Application of recent developments in industrial engineering, operations research, and computing to management problems in establishing policies and objectives, patterns of organization, decision processes, and communication and control systems. SEAS 2008–2009
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The Fu Foundation School of Enginee
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A MESSAGE FROM THE DEAN The great s
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About the School and University
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3 trical section of the Navy’s Bu
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5 Beyond its schools and programs,
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THE COLUMBIA UNIVERSITY LIBRARIES T
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Undergraduate Studies
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11 to engage in ethical, analytic,
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APAM E1601y Introduction to computa
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• take a language or literature c
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State University of New York, Genes
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agreements with forty-one other sta
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UNDERGRADUATE ADMISSIONS 21 Office
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Subject Tests are required only if
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25 research work are required to me
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27 students are considered for fina
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29 following deadlines: February 1:
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Graduate Studies
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33 statements covering these specia
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GRADUATE ADMISSIONS 37 Office of Gr
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GRADUATE TUITION, FEES, AND PAYMENT
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FINANCIAL AID FOR GRADUATE STUDY 41
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and Applied Science are automatical
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Faculty and Administration
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47 Xi Chen Professor of Civil Engin
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Richard W. Longman Professor of Mec
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Alan C. West Samuel Ruben-Peter G.
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Departments and Academic Programs
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APPLIED PHYSICS: THIRD AND FOURTH Y
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APPLIED MATHEMATICS: THIRD AND FOUR
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BIOMEDICAL ENGINEERING 351 Engineer
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First and Second Years As outlined
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BIOMEDICAL ENGINEERING: THIRD AND F
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BIOMEDICAL ENGINEERING: THIRD AND F
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CHEMICAL ENGINEERING 801 S. W. Mudd
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a minor in biomedical engineering m
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CIVIL ENGINEERING: THIRD AND FOURTH
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COMPUTER ENGINEERING PROGRAM Admini
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of alumni and administrators to upg
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211 Office maintains an active list
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Scholarships, Fellowships, Awards,
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215 Leta Stetter Hollingworth Fello
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Samuel J. Clarke Scholarship (1960)
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Lahey Scholarship (1932) Bequest of
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William E. Verplanck Scholarship (1
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Wlliam A. Hadley Award in Mehanical
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University and School Policies, Pro
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The mark of UW: given to students w
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231 LEAVE FOR MILITARY DUTY Any stu
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233 (CUIT) policies and procedures
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more important, they play a major r
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237 MC 4333, 535 West 116th Street,
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SEXUAL ASSAULT POLICY On February 2
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241 appointed and the nature of the
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Directory of University Resources
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245 Art Humanities 826 Schermerhorn
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José Carlos Rivera, Senior Assista
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Melbourne Francis, Assistant Regist
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THE MORNINGSIDE HEIGHTS AREA OF NEW
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253 career counseling, 7 Career Res
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English and comparative literature,
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monthly payment plan, 28 Morningsid
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NOTES 259 SEAS 2008-2009
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2008-2009 Bulletin â PDF - SEAS Bulletin - Columbia University