
MAT 207B, Winter Quarter, 2012
Lectures: MWF 10:0010:50 a.m., Wellman 209
Office hours:
MWF 2:303:30 p.m.
Text: Applied Mathematics, David Logan, 3rd Ed.
Syllabus
Here is a tentative outline of the topic we'll cover:
- Sturm-Liouville problems, Green's functions and integral equations for ODEs
- Calculus of variations and Euler-Lagrange equations for ODEs
- Laplace equation, potential theory, and Green's functions for PDEs
- The heat equation and diffusion
- The wave equation
- Some nonlinear PDEs
This material is covered in the following Chapters of Logan:
- Chapter 3. Calculus of Variations
- Chapter 4. Eigenvalue Problems, Integral Equations, and Green's Functions
- Chapter 6. Partial Differential Equations
- Chapter 7. Wave Phenomena
Stakgold and Holst: Green's Functions and Boundary Value Problems
This book is a good resource for further information about Green's functions, BVPs, and related topics. It's available online from Wiley, free to UC addresses at:
Notes on applied mathematics
Lecture notes which include further discussion of some of the topics covered in this class are here:
Final exam topics
- 1. Sturm-Liouville problems
- 2. Eigenfunction expansions
- 3. Green's functions
- 4. Variational principles
- 5. Integral equations
- 6. Laplace's equation
Source: www.math.ucdavis.edu
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