Math/CS 513 has been lectured by Prof. Amos Ron for over two decades. In Spring 2025, the course was co-taught by Prof. Ron and Prof. Chris Rycroft. Archives of course websites are available here:
Yue Sun has previously taught a graduate-level course in numerical methods at UW–Madison. In particular, the course covers how to set up linear systems from discretizations of partial differential equations, and several iterative methods for solving linear systems. The course website contains lecture notes that may be useful supplementary material for this course:
Chris Rycroft has previously taught a year-long sequence in numerical analysis at Harvard University at the graduate level. The course website is now hosted at UW–Madison:
These courses have extensive notes available. In particular, Applied Math 205 has a complete sequence of videos on YouTube. Units 0 & 1 are useful background. Math/CS 513 covers many of the topics in Unit 2 & 5 in more depth.