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:

(1) Preliminary

(2) Partial differentiation

(3) Matrices and vector spaces

(4) Vector calculus

(5) Ordinary differential equations

(6) Integral transforms

(7) Operators and special functions

(8) Partial differential equations

(9) Probability and statistics

(10) Numerical methods

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

applications. Meanwhile, the last module (numerical methods) 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

R019, Physics Building

In the first semester, we will cover the following key modules subjected to

dynamical readjustments:

(1) Preliminary (4 lectures) – chap 1,2,3,4

(2) Partial differentiation (2 lectures) – chap 5

(3) Matrices and vector spaces (8 lectures) – chap 7,8,9

(4) Vector calculus (6 lectures) – chap 10,11

(5) Integral transforms (4 lectures) – chap 12,13

(6) Ordinary differential equations (6 lectures) – chap 14,15,16