Throughout my undergraduate career, I have consistently typed up notes for many of the mathematics/statistics classes that I took. Here are a medley of them. I take full responsibility for any typos/mistakes that may be present in these notes - and I’m sure that there are many of them. Proceed with caution!
This was a three-quarter sequence on graduate statistical theory. We covered most of Rohatgi and Saleh’s Introduction to Probability and Statistics.
Statistical Theory (PSTAT 207ABC)
This was a three-quarter sequence on graduate probability theory and stochastic processes. We covered most of Grimmet and Stirzaker’s Probability and Random Processes, with some interlude from Norris’s Markov Chains.
Probability Theory (PSTAT 213ABC)
This was a two-quarter sequence on undergraduate stochastic processes. We covered most of Dobrow’s Introduction to Stochastic Processes.
This was a three-quarter sequence on graduate real analysis. MATH 201AB covered most of Evans’ Measure Theory and Fine Properties of Functions.
This was a three-quarter sequence on undergraduate real analysis. MATH 118A covered most of Abbott’s Understanding Analysis, MATH 118B covered most of Rudin’s Principles of Mathematical Analysis, and MATH 118C covered some of Stein & Shakarchi’s Fourier Analysis before we switched gears to Royden & Fitzpatrick’s Real Analysis.
This was a two-quarter sequence on undergraduate complex analysis. We covered most of Gamelin’s Complex Analysis.
Complex Analysis (MATH CS 122AB)
This was a three-quarter sequence on undergraduate numerical analysis. We covered most of Kincaid and Cheney’s Numerical Analysis, Mathematics of Scientific Computing.