Credit option: Students who have taken 104 between Fall 1983 and Spring 1985 will receive no credit for 170. Course format: Two hours of lecture and one hour of discussion per week. Prerequisites: 104. Newtonian Dynamics of a particle or system of particles and of rigid bodies in three-dimensional motion.

Course format: Three hours of lecture per week. Prerequisites: 104; EECS 100. Plane and spherical sound waves. Sound intensity. Propagation in tubes and horns. Resonators. Standing waves. Radiation from oscillating surface. Reciprocity. Reverberation and diffusion. Electro-acoustic loud speaker and microphone problems. Environmental and architectural acoustics. Noise measurement and control. Effects on man.

Course format: Three hours of lecture and one hour of discussion per week. Prerequisites: 104 or equivalent. This course introduces and investigates Lagrange's equations of motion for particles and rigid bodies. The subject matter is particularly relevant to applications comprised of interconnected and constrained discrete mechanical components. The material is illustrated with numerous examples. These range from one-dimensional motion of a single particle to three-dimensional motions of rigid bodies and systems of rigid bodies.

Course format: Three hours of lecture per week. Prerequisites: 104 and 133. Response of discrete and continuous dynamical systems, damped and undamped, to harmonic and general time-dependent loading. Convolution integrals and Fourier and Laplace Transform methods. Lagrange's equations; Eigensolutions; Orthogonality; generalized coordinates; nonreciprocal and degenerate systems; Rayleigh quotient.

Course format: Three hours of lecture per week. Prerequisites: 104 and 133. Random variables and random processes. Stationary, nonstationary, and ergodic proceses. Analysis of linear and nonlinear, discrete and continuous, mechanical systems under stationary and nonstationary excitations. Vehicle dynamics. Applications to failure analysis. Stochastic estimation and control and their applications to vibratory systems.

Course format: Three hours of lecture per week. Prerequisites: 175. Review of Lagrangian dynamics. Legendre transform and Hamilton's equations, Cyclic coordinates, Canonical transformations, Hamilton-Jacobi theory, integrability. Dynamics of asymmetric systems. Approximation theory. Current topics in analytical dynamics.

Course format: Three hours of lecture per week. Prerequisites: 175. Oscillations in nonlinear systems having one or two degrees of freedom. Qualitative and quantitative methods: graphical, iteration, perturbation, and asymptotic methods. Self-excited oscillations, limit cycles, and domains of attraction.