Notes

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! ## Statistics * Statistical Theory 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) * Probability and Stochastic Processes 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) * Applied Stochastic Processes This was a two-quarter sequence on undergraduate stochastic processes. We covered most of Dobrow's *Introduction to Stochastic Processes*. Applied Stochastic Processes (PSTAT 160AB) ## Mathematics ### Analysis * Measure Theory This was a three-quarter sequence on graduate real analysis. MATH 201AB covered most of Evans' *Measure Theory and Fine Properties of Functions*. Measure Theory (MATH 201ABC) * Real Analysis 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*. Real Analysis (MATH 118ABC) * Complex Analysis This was a two-quarter sequence on undergraduate complex analysis. We covered most of Gamelin's *Complex Analysis*. Complex Analysis (MATH CS 122AB) * Numerical Analysis This was a three-quarter sequence on undergraduate numerical analysis. We covered most of Kincaid and Cheney's *Numerical Analysis, Mathematics of Scientific Computing*. Numerical Analysis (MATH 104ABC)