I will try to put my lecture notes here after the lecture each day. The lecture notes sometimes contain more examples than I could cover in class.
M598B: Table of Contents
Chapter I. Vector and Tensors

Chapter II. Complex Variables

Chapter III. Applied Functional Analysis
Chapter IV. Fourier and Laplace Transforms
Chapter V. Ordinary Differential Equations Chapter VI. Partial Differential Equations M598B: Table of Contents

M598B: Review (Dec. 5)

M598B: Mock Final Exam (Dec. 4)

M552: Spring 2002 (Dec. 3 Monday) This is a good course for numerically solving partial differential equations.