Course Description

Courses taken at Columbia University

Database Systems
Basic continuum fluid mechanics
Introduction to the theory of elasticity, I
Analysis, modeling, and control of manufacturing systems
Dynamics of high-speed machines
Vibrations in machines
Digital control systems
Partial differential equasions I
X-ray diffraction

COMS W4111x or y Database Systems

Lect. 3. 3 pts. Professor Gravano.
Prerequisite: COMS W3156, W3824, or permission of the instructor. Introduction to database systems: data modeling; logical design of relational databases; data definition and data manipulation languages; storage and indexing techniques; concurrency control; recovery; query processing; security and integrity; system administration; essentials of distributed operation. A programming project is required.

M.E. E6100x Basic continuum fluid mechanics

Lect: 3. 3 pts. Professor Chevray.
Prerequisite: Mathematics E1210 and M.E. E3100. Eulerian and Lagrangian descriptions of motion. Stress and strain rate tensors, vorticity, integral and differential equations of mass, momentum, and energy conservation. Potential flow.

M.E. E6422x Introduction to the theory of elasticity, I

Lect: 2 1/2. 3 pts. Professor Lai.
Corequisite: Appl. Math. E4200. Analysis of stress and strain. Formulation of the problem of elastic equilibrium. Torsion and flexure of prismatic bars. Problems in stress concentration, rotating disks, shrink fits, and curved beams; pressure vessels, contact and impact of elastic bodies, thermal stresses, propagation of elastic waves.

M.E. E4603y Analysis, modeling, and control of manufacturing systems

Lect: 3. 3 pts. Professor Yao.
Prerequisite: M.E. E3601. Sensor-based control of manufacturing processes and equipment; manufacturing processes and machinery fundamentals; digital data processing fundamentals; cutting dynamics; stability analysis of machining processes; machining chatter detection and suppression; identification, characterization, forecasting, and control of manufacturing processes. Emphasis will be on the applications of these engineering disciplines in manufacturing for higher productivity and better quality.

M.E. E6400y Dynamics of high-speed machines

Lect: 3. 3 pts. Professor Renshaw.
Prerequisite: M.E. E3401. Review of classical dynamics, including Lagrange's equations. Analysis of dynamic response of high-speed machine elements and systems, including mass-spring systems, cam-follower systems, and gearing; shock isolation; introduction to gyrodynamics.

M.E. E6424x Vibrations in machines, I

Lect: 3. 3 pts. Professor Yao.
Prerequisite: M.E. E3401. Review of vibration analysis of systems and mechanisms with one degree of freedom. Natural frequencies. Forced vibrations. Effects of dry and viscous friction. Energy methods of Rayleigh and Ritz. Suppression and elimination of vibration. Vibration isolation. Measuring instruments. Critical speeds in machinery. Synchronous whirl. Half-frequency whirl. Influence of bearing characteristics on critical speeds. Effect of gyroscopic moments. Systems with multiple degrees of freedom. Dynamic vibration absorbers. Self-tuning absorbers of pendulum and roller types. Lagrangian equations of motion as applied to vibrating systems. General equations for transverse critical speeds of shafts. Surging of helical springs.

E.E.-M.E. E4601y Digital control systems

Lect: 3. 3 pts. The staff.
Prerequisite: M.E. E3601 or E.E. E3202. Real-time control of dynamic systems using digital computers. Z-transform methods. Discrete equivalents to continuous systems. Sampled data systems. Root locus and frequency response methods. State-space design techniques. Sample rate selection. Problems with discretization and numerical roundoff.

Appl. Math. E4200x Partial differential equasions I

Lect: 3. 3 pts. Professor Boozer.
Prerequisite: a course in ordinary differential equations. Techniques of solution of partial differential equations. Separation of the variables. Orthogonality and characteristic functions, nonhomogeneous boundary value problems. Solutions in orthogonal curvilinear coordinate systems. Applications of Fourier integrals, Fourier and Laplace transforms.  Problems from the fields of vibrations, heat conduction, electricity, fluid dynamics, and wave propagation are considered.

Mat. Sci. Met. E. E4153x X-ray diffraction

Lect: 2. Lab: 3. 3 pts. Professor Noyan.
Prerequisite: the instructor's permission. A graduate course in x-ray diffraction. Appropriate individual experiments and projects.

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