## 授課老師

 【榮譽】 國立清華大學95、99、102校傑出教學獎 【網站】 http://hsiuhau.wikispaces.com 【領域】 統計力學、普通物理、 熱統計物理、熱物理、應用數學、多體物理

## 課程大綱

Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering.

Brief course description
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:
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.
 (1) ﻿Complex Analysis (2) ﻿Partial Derivative (3) Linear Algebra (4) Quantum Operators (5) Fourier Transform (6) Vector calculus

Syllabus
Syllabus for Applied Mathematics (2020)
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 nto 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

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