Michael Kiessling
In this course classical physics is done mathematically rigorously. This not only implies supplying epsilons and deltas'' where the working physicists tends to be cavalier, we also emphasize conceptual clarity. After all, we want to understand what our physical theories say about the world, don't we? The universe according to Newton, and according to Einstein, are covered in this course. Mathematically we will see how physical problems pushed algebra and analysis, and how the evolution of those fields informed physics --- via the theories of ODEs, PDEs, probabiiity and statistics, functional analysis, group theory, etc etc.
There will be no exams, and only suggested HW, but essentially regular attendance and active participation during the lectures is required.
Professor Kiessling's extensive lecture notes (200+ pages)
Being a graduate student in mathematics or physics; undergraduates with special permission