This course will cover a variety of mathematical methods important to applied mathematics. The first part of the course will focus on numerical analysis and computation: how mathematical objects are represented by finite approximations in a way that permits efficient calculations. One of the goals of this part of the course will be to understand how to discretize and solve equations involving linear differential operators. The second part of the course will focus on nonlinear methods in applied mathematics. This can include topics from a variety of areas. Consult departmental website for more details specific to annual offering.