AMP601. Analytical Methods in Marine Physics, Prof. William Drennan

Goals:

This course is intended to introduce students to the analytical methods employed in the study of marine physics.

Material: The main body of the course involves the study of ordinary and partial differential equations describing continuum systems. This leads to the study of the Sturm-Liouville problem, variational methods, and the method of Green's functions. Approximation methods are introduced, ranging from perturbation methods for differential equations to the various ways to approximate the value of an integral. Integral transform methods such as Fourier, Laplace and wavelet transformations are introduced. Numerical methods are also described.

Assignments: Approximately 10 problems per week homework, midterm exam and final exam.

Grades: Grades are based on 20% homework, 30% midterm exam, and 50% final exam.

Textbook: G. Strang, Introduction to Applied Mathematics (Wellesley-Cambridge Press, MA, 1986). Available at UM bookstore.