MECH 504 Engineering Mathematics

3 semester hours

Advanced topics in applied mathematics in linear algebra and analysis. Vector spaces, linear transformations, determinants, inner product spaces, solution of simultaneous linear equations, LU factorization, solution of algebraic eigenvalue problems by QR and QZ algorithms, linear least square problem and the singular value decomposition. Vector calculus, change of coordinate transformations, Stokes theorem, introduction to calculus of variation, ordinary differential equations, and numerical methods for their solution. Fourier analysis applied to discretesignals.

Lecture, 3 hours.

Senior or graduate standing required.