186 as applied to vibrating systems. General equations for transverse critical speeds of shafts. Surging of helical springs. EEME E6601x Introduction to control theory Lect: 3. 3 pts. Professor Longman. Prerequisite: MATH E1210. A graduate-level introduction to classical and modern feedback control that does not presume an undergraduate background in control. Scalar and matrix differential equation models and solutions in terms of state transition matrices. Transfer functions and transfer function matrices, block diagram manipulations, closed loop response. Proportional, rate, and integral controllers, and compensators. Design by root locus and frequency response. Controllability and observability. Luenberger observers, pole placement, and linear-quadratic cost controllers. EEME E6602y Modern control theory Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>. Prerequisite: EEME E6601 or EEME 4601 or ELEN E6201, or the instructor’s permission. Singular value decomposition. ARX model and state space model system identification. Recursive least squares filters and Kalman filters. LQR, H∞, linear robust control, predictive control. Learning control, repetitive control, adaptive control. Liapunov and Popov stability. Nonlinear adaptive control, nonlinear robust control, sliding mode control. EEME E6610y Optimal control theory Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>. Prerequisite: EEME E6601 or EEME E4601 or the instructor’s permission. Covers topics in calculus of variations, Pontryagin maximum principle, quadratic cost optimal control, predictive control, dynamic programming for optimal control, Kalman filtering, numerical methods for solution. Some applications discussed include minimum energy subway operation (our solution saved 11 percent in tests on the Flushing Line, and the method was adopted by the Transit Authority, saving many millions of dollars per year), minimum time robot optimal control allowing one to run assembly lines faster for increased productivity. MECE E6614y Advanced topics in robotics and mechanism synthesis Lect. 3. 3 pts. Professor Simaan. Prerequisite: APMA E2101, APMA E3101, MECE E4602 (or COMS W4733). Recommended: MECE E3401 or the instructor’s permission. Kinematic modeling methods for serial, parallel, redundant, wire-actuated robots and multifingered hands with discussion of open research problems. Introduction to screw theory and line geometry tools for kinematics. Applications of homotopy continuation methods and symbolic-numerical methods for direct kinematics of parallel robots and synthesis of mechanisms. Course uses textbook materials as well as a collection of recent research papers. EEME E6620x or y Applied signal recognition and classification Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>. Prerequisite: MATH E1210, APMA E3101, knowledge of a programming language, or the instructor’s permission. Applied recognition and classification of signals using a selection of tools borrowed from different disciplines. Applications include human biometrics, imaging, geophysics, machinery, electronics, networking, languages, communications, and finance. Practical algorithms are covered in signal generation; modeling; feature extraction; metrics for comparison and classification; parameter estimation; supervised, unsupervised, and hierarchical clustering and learning; optimization; scaling and alignment; signals as codes emitted from natural sources; information; and extremely large-scale search techniques. MECE E6700y Carbon nanotube science and technology Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>. Prerequisite: Knowledge of introductory solid state physics (e.g. PHYS G4018, APPH E6081, or MSAE E3103) or the instructor’s permission. Basic science of solid state systems. Crystal structure, electronic and phonon bandstructures of nanotubes. Synthesis of nanotubes and other nanomaterials. Experimental determination of nanotube structures and techniques for nanoscale imaging. Theory and measurement of mechanical, thermal, and electronic properties of nanotubes and nanomaterials. Nanofabrication and nanoelectronic devices. Applications of nanotubes. MEEE E6710x or y Nanofabrication laboratory Lecture: 1. Lab: 5. 3 pts. Professor Hone. Prerequisite: ELEN E6945 or the instructor’s permission. Laboratory in techniques for fabrication at the nanometer scale. Electron-beam lithography. Plasma etching and 3D nanofabrication. Thin film deposition. Self-assembly and ‘bottom-up’ nanofabrication. Fabrication of and testing of complete nanodevices. A lab fee of $300 is required. MECE E6720x Nano/microscale thermal transport processes Lect: 3. 3 pts. Professor Liao. Nano and microscale origins of thermal transport phenomena by molecules, electrons, phonons, and photons. Quantum mechanics and statistical physics. Density of states. Kinetic theory of gases. Boltzmann transport equation (BTE), classical and quantum size effects. Landauer formalism for transport via nanostructures. Macroscopic constitutive equations from BTE. Application to electronics cooling, thermoelectric and thermophotovoltaic devices, and energy conversion. MECE E8020x-E8021y Master’s thesis 1 to 3 pts. Professors Ateshian, Attinger, Hone, Kysar, Liao, Lin, Longman, Modi, Narayanaswamy, Simaan, Stolfi, Terrell, Wong, and Yao. Interpretive research in graduate areas in mechanical engineering and engineering science. MECE E8100y Advanced topics in fluid mechanics Lect: 2. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>. Prerequisite: MECE E6100. This course may be taken more than once, since its content has minimal overlap between consecutive years. Selected topics from viscous flow, turbulence, compressible flow, rarefied gas dynamics, computational methods, and dynamical systems theory, non-Newtonian fluids, etc. EEME E8601y Advanced topics in control theory Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>. Prerequisites: EEME E6601 and E4601, or the instructor’s permission. This course may be taken more than once, since the content changes from year to year, electing different topics from control theory such as learning and repetitive control, adaptive control, system identification, Kalman filtering, etc. MECE E8990x and y Special topics in mechanical engineering Lect: 3. 3 pts. Instructor to be announced. Prerequisites: Instructor’s permission. This course may be taken for credit more than once. The instructor from the Mechanical Engineering Department and the topics covered in the course will vary from year to year. This course is intended for students with graduate standing in mechanical engineering and other engineering and applied sciences. MECE E9000x and E9001y, and s Graduate research and study 1 to 3 pts. Professors Ateshian, Attinger, Hone, Kysar, Liao, Lin, Longman, Modi, Narayanaswamy, Simaan, Stolfi, Terrell, Wong, and Yao. Theoretical or experimental study or research in graduate areas in mechanical engineering and engineering science. MECE E9500x or y Graduate seminar 0 pts. Instructor to be announced. Pass/fail only. All doctoral students are required to successfully complete four semesters of the mechanical engineering seminar MECE 9500. MECE E9800x and y, and s Doctoral research instruction 3, 6, 9, or 12 pts. Professors Ateshian, Attinger, Hone, Kysar, Liao, Lin, Longman, Modi, Narayanaswamy, Simaan, Stolfi, Terrell, Wong, and Yao. A candidate for the Eng.Sc.D. degree in mechanical engineering must register for 12 points of doctoral research instruction. Registration in MECE E9800 may not be used to satisfy the minimum residence requirement for the degree. MECE E9900x and y Doctoral dissertation 0 pts. Professors Ateshian, Attinger, Hone, Kysar, Liao, Lin, Longman, Modi, Narayanaswamy, Simaan, Stolfi, Terrell, Wong, and Yao. A candidate for the doctorate may be required to register for this course every term after his/her course work has been completed and until the dissertation has been accepted. <strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>
Undergraduate Minors
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The Fu Foundation School of Enginee
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A MESSAGE FROM THE DEANS As student
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About the School and University
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3 neers of the far-reaching politic
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RESOURCES AND FACILITIES 5 A COLLEG
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systems. www.columbia.edu/ cuit/cla
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Undergraduate Studies
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APAM E1601y Introduction to computa
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Carleton College, Northfield, MN Ca
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UNDERGRADUATE ADMISSIONS 21 Office
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Graduate Studies
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FINANCIAL AID FOR GRADUATE STUDY 41
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47 Shih-Fu Chang Professor of Elect
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Jung-Chi Liao Assistant Professor o
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Michael I. Weinstein Professor of A
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55 IEOR INAF INTA Industrial Engine
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BIOMEDICAL ENGINEERING 351 Engineer
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CHEMICAL ENGINEERING 801 S. W. Mudd
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economical, and governance issues a
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EARTH AND ENVIRONMENTAL ENGINEERING
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equivalent, SIEO W3600 or the equiv
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239 MC 4333, 535 West 116th Street,
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