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

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

Spring quarter, 2010

General Course Information

Prerequisites Calculus and linear algebra.
Textbook Sadri Hassani, Mathematical Physics, A modern introduction to its foundation, Springer, 2006. Note: We do not follow the textbook closely.
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 Wednesdays and Fridays.
Class web page http://www.math.ucsd.edu/~bli/teaching/math210Cs10/
Homework Homework will be assigned, collected, and graded.
Exams There will be a take-home final exam.
Grading The final course grade will be determined mainly based on the homework - 45%, exam - 45%, and class participation - 10%.

Homework Assignments

Assignment 1, due Wednesday, April 28, 2010. PDF
Assignment 2, due Friday, May 21, 2010. 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. Partial differential equations: separation of variables, Green's functions

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

Last updated by Bo Li on March 29, 2010.