Writing

Mathematical writing

Here are old pieces of mathematical writing I've done over the years. Many of these are unfinished lecture notes.

• Real Analysis, a nearly complete set of lecture notes on real analysis at the introductory level, based on a Math 131A course I taught at UCLA.

• Morse Theory in Smooth, Contact, and Symplectic Topology, an incomplete set of lecture notes based on a Math 7400 course I taught at the University of Iowa.

• Linear Algebra and Beyond, an unfinished manuscript based on lecture notes from a Math 115A course I taught at UCLA. This covers introductory proof-based linear algebra and some additional topics beyond the standard curriculum, like symplectic linear algebra. 

• Advanced Multivariable Differential Calculus, an unfinished manuscript that gives a rigorous introduction to multivariable calculus, based on a Math 32AH course I taught at UCLA. 

• Lectures in Harmonic Analysis , an unfinished manuscript based on two courses taught by by Monica Visan at UCLA.

• Fredholm operators and the family index, a senior undergraduate project written at Northwestern.