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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)

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.

259b_CourseFlyer.tif
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