This class provides fundamental mathematical tools for graduate student interested in Geophysical Fluid Dynamics (GFD) and related disciplines. Approximately half of this course will cover mathematical methods for fluid dynamics, and the other half covers simple mathematical models of geophysical flows. Students will learn how to solve ordinary and partial differential equations, Fourier and Laplace transforms, wave equations, stability analysis and eigenvalue problem.

As a pre-requisite to this course, students should have a basic knowledge of ordinary differential equations, vector calculus, multiple integrals, some knowledge of partial differential equations and Fourier series.