WebReg incorrectly enforces MATH 273B as a prerequisite for this course, but the material in this class is self-contained. Please contact me with your PID if you need an override in order to register for this class.
After presenting a number of motivating applications, we will introduce the basics of differential manifolds and Riemannian geometry, and describe how methods in optimization, like line-search, Newton's method, and trust region methods can be generalized to the case of manifolds. The course will assume only a basic knowledge of matrix algebra and real analysis.