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2009-2010 Bulletin – PDF - SEAS Bulletin - Columbia University

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186<br />

as applied to vibrating systems. General equations<br />

for transverse critical speeds of shafts.<br />

Surging of helical springs.<br />

EEME E6601x Introduction to control theory<br />

Lect: 3. 3 pts. Professor Longman.<br />

Prerequisite: MATH E1210. A graduate-level introduction<br />

to classical and modern feedback control<br />

that does not presume an undergraduate background<br />

in control. Scalar and matrix differential<br />

equation models and solutions in terms of state<br />

transition matrices. Transfer functions and transfer<br />

function matrices, block diagram manipulations,<br />

closed loop response. Proportional, rate,<br />

and integral controllers, and compensators.<br />

Design by root locus and frequency response.<br />

Controllability and observability. Luenberger<br />

observers, pole placement, and linear-quadratic<br />

cost controllers.<br />

EEME E6602y Modern control theory<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisite: EEME E6601 or EEME 4601 or<br />

ELEN E6201, or the instructor’s permission.<br />

Singular value decomposition. ARX model<br />

and state space model system identification.<br />

Recursive least squares filters and Kalman filters.<br />

LQR, H∞, linear robust control, predictive control.<br />

Learning control, repetitive control, adaptive<br />

control. Liapunov and Popov stability. Nonlinear<br />

adaptive control, nonlinear robust control, sliding<br />

mode control.<br />

EEME E6610y Optimal control theory<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisite: EEME E6601 or EEME E4601 or<br />

the instructor’s permission. Covers topics in calculus<br />

of variations, Pontryagin maximum principle,<br />

quadratic cost optimal control, predictive control,<br />

dynamic programming for optimal control, Kalman<br />

filtering, numerical methods for solution. Some<br />

applications discussed include minimum energy<br />

subway operation (our solution saved 11 percent<br />

in tests on the Flushing Line, and the method was<br />

adopted by the Transit Authority, saving many<br />

millions of dollars per year), minimum time robot<br />

optimal control allowing one to run assembly lines<br />

faster for increased productivity.<br />

MECE E6614y Advanced topics in robotics<br />

and mechanism synthesis<br />

Lect. 3. 3 pts. Professor Simaan.<br />

Prerequisite: APMA E2101, APMA E3101, MECE<br />

E4602 (or COMS W4733). Recommended:<br />

MECE E3401 or the instructor’s permission.<br />

Kinematic modeling methods for serial, parallel,<br />

redundant, wire-actuated robots and multifingered<br />

hands with discussion of open research problems.<br />

Introduction to screw theory and line geometry<br />

tools for kinematics. Applications of homotopy<br />

continuation methods and symbolic-numerical<br />

methods for direct kinematics of parallel<br />

robots and synthesis of mechanisms. Course<br />

uses textbook materials as well as a collection of<br />

recent research papers.<br />

EEME E6620x or y Applied signal recognition<br />

and classification<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisite: MATH E1210, APMA E3101, knowledge<br />

of a programming language, or the instructor’s<br />

permission. Applied recognition and classification<br />

of signals using a selection of tools borrowed<br />

from different disciplines. Applications include<br />

human biometrics, imaging, geophysics, machinery,<br />

electronics, networking, languages, communications,<br />

and finance. Practical algorithms are<br />

covered in signal generation; modeling; feature<br />

extraction; metrics for comparison and classification;<br />

parameter estimation; supervised, unsupervised,<br />

and hierarchical clustering and learning;<br />

optimization; scaling and alignment; signals as<br />

codes emitted from natural sources; information;<br />

and extremely large-scale search techniques.<br />

MECE E6700y Carbon nanotube science and<br />

technology<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisite: Knowledge of introductory solid<br />

state physics (e.g. PHYS G4018, APPH E6081,<br />

or MSAE E3103) or the instructor’s permission.<br />

Basic science of solid state systems. Crystal<br />

structure, electronic and phonon bandstructures<br />

of nanotubes. Synthesis of nanotubes and other<br />

nanomaterials. Experimental determination of<br />

nanotube structures and techniques for nanoscale<br />

imaging. Theory and measurement of mechanical,<br />

thermal, and electronic properties of nanotubes<br />

and nanomaterials. Nanofabrication and nanoelectronic<br />

devices. Applications of nanotubes.<br />

MEEE E6710x or y Nanofabrication laboratory<br />

Lecture: 1. Lab: 5. 3 pts. Professor Hone.<br />

Prerequisite: ELEN E6945 or the instructor’s permission.<br />

Laboratory in techniques for fabrication<br />

at the nanometer scale. Electron-beam lithography.<br />

Plasma etching and 3D nanofabrication. Thin<br />

film deposition. Self-assembly and ‘bottom-up’<br />

nanofabrication. Fabrication of and testing of<br />

complete nanodevices. A lab fee of $300 is<br />

required.<br />

MECE E6720x Nano/microscale thermal transport<br />

processes<br />

Lect: 3. 3 pts. Professor Liao.<br />

Nano and microscale origins of thermal transport<br />

phenomena by molecules, electrons, phonons,<br />

and photons. Quantum mechanics and statistical<br />

physics. Density of states. Kinetic theory of<br />

gases. Boltzmann transport equation (BTE), classical<br />

and quantum size effects. Landauer formalism<br />

for transport via nanostructures. Macroscopic<br />

constitutive equations from BTE. Application to<br />

electronics cooling, thermoelectric and thermophotovoltaic<br />

devices, and energy conversion.<br />

MECE E8020x-E8021y Master’s thesis<br />

1 to 3 pts. Professors Ateshian, Attinger, Hone,<br />

Kysar, Liao, Lin, Longman, Modi, Narayanaswamy,<br />

Simaan, Stolfi, Terrell, Wong, and Yao.<br />

Interpretive research in graduate areas in<br />

mechanical engineering and engineering science.<br />

MECE E8100y Advanced topics in fluid<br />

mechanics<br />

Lect: 2. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisite: MECE E6100. This course may be<br />

taken more than once, since its content has minimal<br />

overlap between consecutive years. Selected<br />

topics from viscous flow, turbulence, compressible<br />

flow, rarefied gas dynamics, computational methods,<br />

and dynamical systems theory, non-Newtonian<br />

fluids, etc.<br />

EEME E8601y Advanced topics in control theory<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisites: EEME E6601 and E4601, or the<br />

instructor’s permission. This course may be taken<br />

more than once, since the content changes from year<br />

to year, electing different topics from control theory<br />

such as learning and repetitive control, adaptive control,<br />

system identification, Kalman filtering, etc.<br />

MECE E8990x and y Special topics in mechanical<br />

engineering<br />

Lect: 3. 3 pts. Instructor to be announced.<br />

Prerequisites: Instructor’s permission. This course<br />

may be taken for credit more than once. The instructor<br />

from the Mechanical Engineering Department and<br />

the topics covered in the course will vary from year to<br />

year. This course is intended for students with graduate<br />

standing in mechanical engineering and other<br />

engineering and applied sciences.<br />

MECE E9000x and E9001y, and s Graduate<br />

research and study<br />

1 to 3 pts. Professors Ateshian, Attinger, Hone,<br />

Kysar, Liao, Lin, Longman, Modi, Narayanaswamy,<br />

Simaan, Stolfi, Terrell, Wong, and Yao.<br />

Theoretical or experimental study or research in<br />

graduate areas in mechanical engineering and<br />

engineering science.<br />

MECE E9500x or y Graduate seminar<br />

0 pts. Instructor to be announced.<br />

Pass/fail only. All doctoral students are required<br />

to successfully complete four semesters of the<br />

mechanical engineering seminar MECE 9500.<br />

MECE E9800x and y, and s Doctoral research<br />

instruction<br />

3, 6, 9, or 12 pts. Professors Ateshian, Attinger, Hone,<br />

Kysar, Liao, Lin, Longman, Modi, Narayanaswamy,<br />

Simaan, Stolfi, Terrell, Wong, and Yao.<br />

A candidate for the Eng.Sc.D. degree in mechanical<br />

engineering must register for 12 points of doctoral<br />

research instruction. Registration in MECE<br />

E9800 may not be used to satisfy the minimum<br />

residence requirement for the degree.<br />

MECE E9900x and y Doctoral dissertation<br />

0 pts. Professors Ateshian, Attinger, Hone, Kysar,<br />

Liao, Lin, Longman, Modi, Narayanaswamy,<br />

Simaan, Stolfi, Terrell, Wong, and Yao.<br />

A candidate for the doctorate may be required<br />

to register for this course every term after his/her<br />

course work has been completed and until the<br />

dissertation has been accepted.<br />

<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>

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