MATH 555 - Fall 2015
Lecture Notes
Notes:
November 24, 2015
Table of Contents
ODEs: Existence and Uniqueness Theory
ODEs: Continuity and Differentiability of Solutions
Linear ODEs
Lyapunov Stability
Numerical Solutions to IVPs
Lebesgue Integration
Hilbert Spaces
Fourier Series
Vibrating Strings and Heat Flow
Index
Appendix on Complex Variables
Mathematics Department
University of Washington