Michael Kiessling
In a nutshell, this course is about Hilbert's 6th problem, in updated form.
More to the point, in this course classical physics is done not only mathematically rigorously in the sense of ``supplying epsilons and deltas'' whenever we can, while the working physicist tends to be more cavalier about these. More importantly, we emphasize conceptual clarity: how fundamental (microscopic) physical theories aim to explain the physical world in which we live, how the motion of atoms and the evolution of fields gives rise to the ``everyday'' phenomena. The classical universe according to Newton, and according to Einstein, are covered --- though of course in updated versions!
Professor Kiessling's extensive lecture notes
to be a graduate student of mathematics or physics; others by permission from the instructor