課程介紹

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課程目標

This course covers methods to solve partial differential equations and major topics in complex analysis. It aims to prepare students with basic mathematical tools for studying professional courses in scientific and engineering fields.  

修習條件

主要教本

E. Kreyszig, Advanced Engineering Mathematics, 10th edition, Wiley (2010).

內容大綱

1. Fourier Analysis
2. Partial Differential Equations
3. Complex Analysis
(a) Complex Numbers and Functions
(b) Complex Integration
(c) Complex Power Series
(d) Residue Integration
(e) Conformal Mapping
(f) Potential Theory