Math 210B: Mathematical Methods in Physical Sciences and Engineering (Part B) - Bo Li

## Math 210B: Mathematical Methods in Physical Sciences and Engineering (Part B)

### General Course Information

 Prerequisites Calculus and linear algebra. Textbook Sadri Hassani, Mathematical Physics, A modern introduction to its foundation, Springer, 2006. Lectures 3:00 - 3:50, Mondays, Wednesdays, and Fridays, AP&M 5402. Instructor Bo Li Office: AP&M 5723. Office phone: (858) 534-6932. E-mail: bli@math.ucsd.edu. Office hours: 4:00 - 4:30 Mondays and Fridays. Class web page http://www.math.ucsd.edu/~bli/teaching/math210Bw10/ Homework Homework will be assigned, collected, and graded. Exams There will be a final exam. Time: 3:00 - 5:59, Wednesday, March 17, 2010. Place to be announced. Grading The final course grade will be determined mainly based on the homework (45%), exam (45%), and class participation (10%).

### Homework

Assignment 1, due Friday, 1/15/10: PDF
Assignment 2, due Monday, 2/1/10: PDF
Assignment 3, due Wednesday, 2/17/10: PDF
Assignment 4, due Wednesday, 3/10/10: PDF

### A Tentative Course Outline

Math 210A
1. Selected topics in advanced linear algebra and matrix theory
2. Hilbert spaces, different concepts of convergence, complete orthonormal systems
3. Orthogonal polynomials
4. Fourier analysis and Fourier transformations

Math 210B
1. Complex analysis: analytical functions, integration and series, calculus of residues
2. Operators on Hilbert spaces and Sturm-Liouville systems
3. Integral equations
4. Partial differential equations: separation of variables, Green's functions

Math 210C
1. Ordinary differential equations
2. Group theory, tensor algebra
3. Differential geometry: vector fields, curvature, Riemannian manifolds, geodesics
4. Basic stochastic processes

Last updated by Bo Li on January 2, 2010.