Online Course Catalog

This course is an accelerated introduction to mathematical topics relevant for graduate-level studies across engineering. Rigorous overview of linear algebra: vector spaces, linear maps, norm, inner product, Banach and Hilbert spaces, basis, Jordan form, SVD decomposition. Simple optimization and regression: linear programming, linear least squares. Fundamentals of real analysis: continuity, differentiation, convergence of series, Taylor and Fourier series, multivariate derivatives, connection to differential equations.

3 or 4 hours

• Aerospace Engineering