Applied Mathematics is a two-semester course, emphasizing the basic mathematical

training encountered in science and engineering. Facing the modern frontiers

with brand-new challenges, the course contains the following key modules:

Applied Math 1

(1) complex algebra (chap 3,4)

(2) partial differentiation (chap 5)

(3) linear algebra (chap 7,8)

(4) vector calculus (chap 10,11)

(5) ordinary differential equations (chap14,15)

Applied Math 2

(1) integral transforms (chap 12,13)

(2) special functions (chap 16,17,18)

(3) quantum operators (chap 19)

(4) partial differential equations (chap 20,21)

(5) calculus of variations (chap 22)

It is important to maintain the balance between mathematical rigor and hands-on

applications. While numerical methods are not listed explicitly, it will be

integrated into other modules to facilitate complementary usage of analytic and

numeric techniques.

Textbook:

Mathematical Methods for physics and engineering (3rd edition)

by Riley, Hobson and Bence

Classes:

08:30 – 09:50 on Mondays and Thursdays

Physics Building R124

Exams and Grades

April 18 (Mon) midterm (50%)

June 13 (Mon) final (50%)

The letter grades of the course are ba

final, weighted by the overall class performance.