Teaching
Undergraduate Courses
MAE 82
Mathematics of Engineering (Sp 2025)
Lecture, four hours; discussion, two hours; outside study, six hours. Requisite: Mathematics 33A. Recommended requisite: course M20. Methods of solving ordinary differential equations in engineering. Review of matrix algebra, eigenvalues, and eigenvectors. Solution of systems of first-order ordinary differential equations using matrix methods. Introduction to Laplace transforms and their application to ordinary differential equations. Introduction to boundary value problems, partial differential equations, and separation of variables. Letter grading.
Graduate Courses
MAE 259B.
Dynamic Behavior of Materials (Wi 2025, F 2026)
Lecture, four hours; outside study, eight hours. Stress waves in one-dimension. Uniaxial stress (bar waves) and strain (plane waves). Dispersion of elastic waves. Shock waves, Rankine-Hugoniot jump conditions, shock Hugoniot, material isentrope, material equation of state, role of shock on temperature change and dissipation. Dynamic experimental techniques including long rods, plate impact, dynamic failure. Letter grading.
MAE 269A.
Dynamics of Structures (Wi 2026)
Lecture, four hours; discussion, two hours; outside study, six hours. Requisites: Civil Engineering 135A, C137, or equivalent. Principles of dynamics. Determination of normal modes and frequencies by differential and integral equation solutions. Transient and steady-state response. Emphasis on derivation and solution of governing equations using matrix formulation. Letter grading.