Below is a collection of notes for various exams and courses that I have TAed. These are not comprehensive, but may be useful for students to use as a reference in the preparation.
These notes are for the qualifying exam at UCLA, which felt like learning an entirely new language. The samples here have the flavor of the PDEs in Evans' text and ODEs like those in the text of Strogatz and of Bender and Orzag.
I TAed for this course (146) at UCLA, which is a sort of optimization class with a more variational flavor. The notes are a bit jumbled as this course was newly revived at UCLA and not yet standardized.
* Please use my contact form to request a password for these notes. They cannot be posted since they contain so many solutions drawn primarily from a single textbook.