一、課程說明 (Course Description):
This course aims to provide sufficient mathematic training for students whose majors are in engineering or
physics. The content emphasizes partial differential equations and
complex functions. This course is the mathematic foundation of electromagnetics, modern physics, classical
physics, fluidic mechanics and so on. Basic mathematic skills, especially calculus and knowledge of ordinary
differential equation, are required.

二、指定用書 (Text Books)
E. Kreyszig, Advanced Engineering Mathematics, 10th Ed., John Wiley & Sons, Inc., 2011.

三、教學方式 (Teaching Method)
Lectures

四、教學進度 (Syllabus)

1. Review of Ordinary Differential Equation
2. Partial Differential Equations and their solutions by Separation of variable (Fourier Series) (Chap. 12)
3. Integral transform
4. Complex Numbers and Functions (Chap. 13) & Complex Integration (Chap. 14)
5. Power Series, Taylor Series (Chap. 15)
6. Laurent Series. Residue Integration (Chap. 16)
7. Conformal Mapping
8. Numerics

五、成績考核 (Evaluation)
Homework (30%)
2 Exams (70%),

六、課程資料FTP下載點
清大數位學習平台