Course Description: Review of classical thermodynamics; introduction to kinetic theory; quantum mechanical analysis of atomic and molecular structure; statistical mechanical evaluation of thermodynamic properties; chemical thermodynamics and equilibria. Prerequisite: Graduate standing.

Course Description: Classical analytical dynamics from a modern mathematical viewpoint: Newton's laws, dynamical variables, many particle systems; the Lagrangian formulation, constraints and configuration manifolds, tangent bundles, differential manifolds; variational principles, least action; non-potential forces; constrained problems; linear oscillations; Hamiltonian formulation: canonical equations, Rigid body motion. Prerequisite: Undergraduate physics, ordinary differential equations.

Course Description: The topics covered are: dimensional analysis; physical properties of fluids; kinematic descriptions of flow; streamlines, path lines and streak lines; stream functions and vorticity; hydrostatics and thermodynamics; Euler and Bernoulli equations; irrotational potential flow; exact solutions to the Navier-Stokes equation; effects of viscosity - high and low Reynolds numbers; waves in incompressible flow; hydrodynamic stability. Prerequisite: Graduate Standing

Course Description: Review of ordinary differential equations, initial/boundary value problems. Linear algebra including systems of linear equations, matrices, eigenvalues, eigenvectors, diagonalization. Solution of partial differential equations that govern physical phenomena in science and engineering by separation by variables, superposition, Fourier series, variation of parameter, d'Alembert's solution. Cross-listed as APMA 6410. Prerequisite: Graduate standing.

Course Description: Special Topics in Distance Learning

Course Description: Study of a specialized, advanced, or exploratory topic relating to mechanical or aerospace engineering science, at the first-graduate-course level. May be offered on a seminar or a team-taught basis. Subjects selected according to faculty interest. New graduate courses are usually introduced in this form. Specific topics and prerequisites are listed in the Course Offering Directory.

Course Description: Studies the dynamics of linear, closed-loop systems. Analysis of transfer functions; stability theory; time response, frequency response; robustness; and performance limitations. Design of feedback controllers. Cross-listed as ECE 6851. Prerequisite: Instructor permission.

Course Description: A comprehensive treatment of the theory of linear state space systems, focusing on general results which provide a conceptual framework as well as analysis tools for investigation in a wide variety of engineering contexts. Topics include vector spaces, linear operators, functions of matrices, state space description, solutions to state equations (time invariant and time varying), state transition matrices, system modes and decomposition, stability, controllability and observability, Kalman decomposition, system realizations, grammians and model reduction, state feedback, and observers. Cross-listed as SYS 6012 and ECE 6852. Prerequisite: Graduate standing.

Course Description: Independent study of first-year graduate level material under the supervision of a faculty member. Prerequisite: Students must petition the department Graduate Studies Committee before enrolling.

Course Description: Required one-hour weekly seminar for master's students in mechanical and aerospace and nuclear engineering. Students enrolled in MAE 8999 or 6594/7540 make formal presentations of their work.

Course Description: Independent study of advanced graduate material under the supervision of a faculty member. Prerequisite: Students must petition the department Graduate Studies Committee before enrolling.

Course Description: Required one-hour weekly seminar for doctoral students in mechanical, aerospace, and nuclear engineering. Students enrolled in MAE 9999 may make formal presentations of their work.

Course Description: For master's students.

Course Description: Formal documentation of faculty supervision of thesis research. Each full-time, resident Master of Science student in mechanical and aerospace engineering is required to register for this course for the number of credits equal to the difference between his or her regular course load (not counting the one-credit MAE 7510 seminar) and 12.

Course Description: For doctoral students.