This course is intended to provide students with the basic mathematical tools needed for success in advanced upper division physics courses such as the E&M and the Quantum Mechanics capstones, and beginning graduate courses. The emphasis will be less on rigor (e.g. proofs of existence and convergence) and more on how to use the techniques of mathematics to solve physics problems. The goals of this capstone are to bring these ideas together into a useful mathematical “toolbox,” and to help you understand the common mathematical principles that underlie diverse areas of physics. (more...)