I try to write detailed and correct lecture notes for when I teach. I have scanned lecture notes from several courses and posted them below. My apologies if the scans are not legible or if any details are incorrect. In many cases there are no stated justifications for proceeding from one line to the next, and I would suggest that you think carefully about each step. The PDF files are served up by Dropbox; you do not need to install Dropbox in order to view them.
These are lecture notes about algebra, graphing, unit circle trigonometry, and exponential and logarithmic functions.
These are lecture notes covering derivatives and integrals, with separate sections about trigonometric functions and exponentials and logarithms.
These are lecture notes on the definition of the natural logarithm and natural exponential, integration techniques, sequences, infinite series, and other topics from Calculus II
These are lecture notes for the third semester of the standard calculus sequence, about multivariable calculus, including vectors, curves in space, functions of several variables, partial derivatives, and multiple integrals.
These are lecture notes for a junior-level undergraduate course in linear algebra, which I taught in the summer. I used the excellent textbook by David Lay.
These lecture notes were last updated in Fall 2021
These are lecture notes for a one-semester master's level course, primarily focused on modeling. Main topics are random sequences, Markov chains, Poisson arrival processes, with a short description of Brownian motion.
These are lecture notes from a one-semester master's-level course, primarily about conditional expectation, Poisson arrival processes, and Markov chains. My lecture notes are mostly based on the book Introduction to Stochastic Processes by Erhan Cinlar, 1975.
Link to scanned stochastic processes lecture notes from Spring 2020
Link to videos on Markov chains and renewal theory from Spring 2020
These are lecture notes from a two-semester sequence of PhD level courses. My lecture notes draw from a variety of sources including the book by Richard Durrett.