Math 210: Mathematical Methods in Physical Sciences and Engineering, 2013-2014, - Bo Li

Math 210: Mathematical Methods in Physical Sciences and Engineering

Fall 2013, Winter 2014, and Spring 2014

Instructor: Bo Li
Office: AP&M 5723. Office phone: (858) 534-6932. Email:

This is a year-long (three-quarter) course designed for graduate students and upper-division undergraduate students of applied and computational mathematics, physical sciences (physics, chemistry, biology, etc.), and engineering. The course covers the basics of broadly ranged important topics of modern mathematics that have emerging applications in science and engineering. An emphasis will be placed on both the mathematical rigor and problem solving techniques. It is expected that students who take this course seriously will have a good mathematical background for scientific, engineering, mathematical, and interdisciplinary researches.

Topics of the course include but are not limited to:

  1. Advanced calculus and lienar algebra: Sequences and series of functions, matrix techniques, etc.;
  2. Hilbert spaces, orthogonal polynomials, Fourier series, approximation theory and methods;
  3. Partial differential equations: solution methods, analysis, and applications;
  4. Ordinary differential equations and dynamical systems;
  5. Complex variables techniques; and
  6. Stochastic process.
Examples of applications, particularly of those related to researches at UCSD, will be presented. Numerical methods will be mentioned along the course but will not be covered in depth.

Prerequisites of this course is a solid background of calculus and linear algebra. We will not follow a special textbook. But lecture notes will be distributed in the class. Rferences will be listed in the class webpage and some of them will be reserved in UCSD library. Course grades will be based on class participation, homework and exams.

Winter Quarter 2014 Class Information

Prerequisites Calculus and linear algebra.
Topics Partial Differential Equations
Textbook We will not follow a single textbook. Lecture notes will be distributed in the class.
Course Material
Lectures 10:00 - 10:50, Mondays, Wednesdays, and Fridays, AP&M B412.
Instructor Bo Li
Office: AP&M 5723. Office phone: (858) 534-6932. E-mail:
Office hours: 11:00 - 11:30 Mondays and 11:00 - 12:00 Fridays.
Class web page
Homework Homework will be assigned, collected, and partially graded (if there is a grader).
Exams There will be no midterm exams but a take-home final exam.
Grading The final course grade will be determined based on homework and take-home final exam.

Last updated by Bo Li on March 8, 2014.