Mathematical Methods and Computational Physics

This course is an introduction to Mathematical topics and techniques important for their physical relevance and application. Course topics typically include coordinate systems, vector functions, vector calculus, power series, ordinary and partial differential equations, Fourier and Laplace transforms, numerical integration and differentiation, complex numbers and functions, linear algebra and matrix manipulations, probability, nonlinear equations, and dynamics. In addition, the course introduces students to foundational principles in scientific computation and simulation.

Three hours lecture, three hours lab