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

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160 operations research: first and second Years Semester i Semester iI Semester iII Semester iV mathematics MATH V1101 (3) MATH V1102 (3) MATH V1201 (3) Linear algebra (3) 1 physics (three tracks, choose one) C1401 (3) C1601 (3.5) C2801 (4.5) C1402 (3) C1602 (3.5) C2802 (4.5) Chemistry or physics lab: PHYS C1493 (3) or PHYS W3081 (2) or CHEM C1500 (3) or CHEM C2507 (3) or CHEM C3085 (4) or chemistry (choose one course) C1403 (3) or C1404 (3) or C1604 (3.5) or C3045 (3.5) english composition (three tracks, choose one) C1010 (3) Z1003 (0) Z0006 (0) C1010 (3) Z1003 (0) C1010 (3) required nontechnical electives ECON W1105 (4) and W1155 recitation (0) either semester HUMA C1001, COCI C1101, or Global Core (3–4) HUMA C1002, COCI C1102, or Global Core (3–4) HUMA W1121 or W1123 (3) either semester first- and Second- Year Dept. Requirements Professional-level course (3) (see pages 12–13) IEOR E2261 (3) SIEO W3600 (4) computer science COMS W1004 (Java) (3) or COMS W1007 (Java) (3) 2 and COMS W3134 (3) or COMS W3137 (4) 2 physical education C1001 (1) C1002 (1) gateway lab E1102 (4) either semester 1 The linear algebra requirement may be filled by either MATH V2010 or APMA E3101. 2 If taking IEOR E3658, students must take STAT W3107 or W4107 to complete the SIEO W3600 requirement. IEOR E4001y Design and management of production and service systems 3 pts. Lect: 3. Professor Riccio. Prerequisite: IEOR E4000 or E3402. This course is required for undergraduate students majoring in OR:EMS. 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 3 pts. Lect: 3. Professor Sadighian. Prerequisites or corequisites: Probability theory and linear programming. This course is required for all undergraduate students majoring in IE, OR:EMS, OR:FE, and OR. 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 3 pts. Lect: 3. Professor Sethuraman. This is a required course for MSEMS, MSIE, and MSOR students. This is also required for students in the Undergraduate Advanced Track. 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 3 pts. Lect: 3. Professor Bienstock. Prerequisite: Linear algebra. This course is for MSFE students only. 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 are discussed. CSOR E4010y Graph theory: a combinatorial view 3 pts. Lect: 3. Professor Chudnovsky. Prerequisites: Linear algebra, or instructor’s permission. An introductory course in graph theory engineering 2011–2012
operations research: Third and Fourth Years 161 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 E4600 (3) Applied integer prog. IEOR E4003 (3) Industrial econ. IEOR E4700 (3) Intro to FE IEOR E4407 (3) Game theoretic models of operations IEOR E4405 (3) Prod. scheduling operations research electives nontech electives Choose four OR electives (12 pts. total): 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. 1 Taking required courses later than the prescribed semester is not permitted. with emphasis on its combinatorial aspects. Basic definitions, and some fundamental topics in graph theory and its applications. Topics include trees and forests graph coloring, connectivity, matching theory and others. IEOR E4106x and y Introduction to operations research: stochastic models 3 pts. Lect: 3. Professor Yao. Prerequisites: SIEO W4150 or probability theory. This is a required course for MSEMS, MSIE, and MSOR students. This is also required for students in the Undergraduate Advanced Track. 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 and y Introduction to probability and statistics 3 pts. Lect: 3. Professor Wright. Prerequisite: 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 E4207x Human factors: performance 3 pts. Lect: 3. Professor Gold. This course is required for undergraduate students majoring in IE. Sensory and cognitive (brain) processing considerations in the design, development, and operations of systems, products, and tools. User or operator limits and potential in sensing, perceiving decision making, movement coordination, memory, and motivation. IEOR E4208y Seminar in human factors design 3 pts. Lect: 3. Professor Gold. Prerequisite: IEOR E4207 or instructor’s permission. This course is an elective undergraduate students majoring in IE. An in-depth exploration of the application potential of human factor principles for the design of products and processes. Applications to industrial products, tools, layouts, workplaces, and computer displays. Consideration to environmental factors, training and documentation. Term project. IEOR E4210y Supply chain management 3 pts. Lect: 3. Professor Truong. Prerequisite: IEOR E3402, E4000, or permission of instructor. This is a IE elective for undergraduate students majoring in IE. Major issues in supply chain management, including, definition of a supply chain; role of inventory; supply contracts; bullwhip effect and information sharing; vendor-managed inventories and other distribution strategies; third-party logistics providers; managing product variety; information technology and supply chain management; international issues. Emphasis on quantitative models and analysis. IEOR E4220y Demand and supply analytics 3 pts. Lect: 3. Not offered in 2011–2012. Prerequisites: IEOR E4004 (or E3608), IEOR E4106 (or E3608). Tools to efficiently manage supply and demand networks. Topics include service and inventory trade-offs, stock allocation, pricing, markdown management and contracts, timely product distribution to market while avoiding excess inventory, allocating adequate resources to the most profitable products and selling the right product to the right customer at the right price and at the right time. IEOR E4307x Applied statistical models in operations research 3 pts. Lect: 3. Professor Wright. Prerequisites: probability, linear algebra. Descriptive statistics, central limit theorem, parameter estimation, sufficient statistics, hypothesis testing, regression, logistic regression, goodness-of-fit tests, applications to operations research models. IEOR E4308x Industrial budgeting and financial control 3 pts. Lect: 3. Professor Luss. Prerequisite: ENGI W2261 or accounting and finance. Management control via the budgeting and financial processes. Topics include the preparation, evaluation, and implementation of operating and capital budgets and review of their performance. Examples from contemporary practice. IEME E4310x The manufacturing enterprise 3 pts. Lect: 3. Professor Weinig. The strategies and technologies of global manufacturing and service enterprises. Connections between the needs of a global enterprise, the technology and methodology needed for manufacturing and product development, and strategic planning as currently practiced in industry. IEOR E4403x Advanced engineering and corporate economics 3 pts. Lect: 3. Professor Sadighian. Prerequisites: Probability theory and linear programming This course is required for students in the Undergraduate Advanced Track. Key measures and analytical tools to assess the financial performance of a firm and perform the economic evaluation of industrial projects. Deterministic mathematical programming models for capital budgeting. Concepts in utility theory, game theory and real options analysis. engineering 2011–2012
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Bulletin 2011 -2012
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Bulletin 2011 -2012
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a message from the dean As students
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About the School and University
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3 After receiving a master’s degr
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Resources and Facilities 5 A Colleg
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• CourseWorks is the University c
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Undergraduate Studies
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students improve their ability to e
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transistors, first order RC and RL
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possible overseas destinations and
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more than 68 transfer points toward
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Programs Registered with the New Yo
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Applicants may submit results of th
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Undergraduate Tuition, Fees, and Pa
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financial aid for undergraduate stu
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family’s financial situation. Con
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Graduate Studies
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statements covering these special r
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33 Completion of Requirements The r
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graduate admissions 35 Office of Gr
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Graduate tuition, fees, and payment
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financial aid for graduate study 39
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esearch assistantships, readerships
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Faculty and Administration
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45 Xi Chen Associate Professor of E
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S. G. Steven Kou Professor of Indus
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Tiffany Shaw Assistant Professor of
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Enders Robinson Maurice Ewing and J
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Departments and Academic Programs
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55 IEOR INAF INTA MATH MEBM Industr
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techniques based on the theory of g
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Applied Physics: Third and Fourth Y
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Applied mathematics: Third and Four
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are determined in consultation with
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APPH E4110x Modern optics 3 pts. Le
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squares method, pseudo-inverses, si
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iomedical engineering 351 Engineeri
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of courses in mathematics, physics,
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iomedical engineering. Up to 12 poi
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iomedical engineering Program: Thir
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BMEN E4420y Biomedical signal proce
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BMEN E6400x Analysis and quantifica
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chemical nature of things and provi
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and broad-ranging nature of the deg
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chemical engineering: Third and Fou
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principles, environmental sciences,
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systems are treated next (dominant
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civil engineering and engineering m
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Program Objectives In developing an
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civil engineering: Third and Fourth
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engineering mechanics: Third and Fo
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and leadership on the part of engin
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ENME E4363y Multiscale computationa
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computer engineering program: first
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computer engineering program: first
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Computer Science 450 Computer Scien
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Page 211 and 212: Campus and Student Life
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student services 211 university hou
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Upperclass and Graduate Students Ma
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Scholarships, Fellowships, Awards,
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Class of 1900 (1940) Gift of the Cl
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James M. and Elizabeth S. Li Endowe
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Max Yablick Memorial Scholarship (1
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Applied Physics Faculty Award Award
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time to that member of the graduati
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228 Academic Procedures and Standar
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230 calendar day, not a 24-hour tim
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232 Academic standing Academic Hono
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234 Policy on Conduct and Disciplin
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236 • Understand what instructors
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238 Student Grievances, Academic Co
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240 C. Discrimination and sexual ha
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242 columbia university resource li
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244 Medical Services John Jay Hall,
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246 The Morningside Heights Area of
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248 Center for Career Education (CC
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250 See also payments fellowships,
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252 parents contributions to educat
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254 notes engineering 2011-2012
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256 notes engineering 2011-2012
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500 West 120th Street New York, New
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