My courses have primarily involved teaching mathematical methods, and theory and modeling strategies for physical systems to audiences of students from a diverse range of disciplines. Specifically, most students have come from physics, chemistry, and various engineering disciplines. My guiding philosophy has been to present the material in a way targeted to the audience (e.g., avoiding unnecessarily abstract and rigorous derivations or proofs in math courses), and wherever possible selecting examples and applications from the students’ fields of interest. However, I do aim to provide the students with a complete and solid understanding of the mathematical and theoretical concepts and results, including a self-contained set of lecture notes and supplementary material available on the web.