課程介紹

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課程目標

This course covers concepts of ordinary and partial differential equations and methods to yield solutions. 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

參考書:
1. E. Kreyszig, Advanced Engineering Mathematics, 10th edition, Wiley (2010).

內容大綱

1. Ordinary Differential Equations (ODEs)
(a) First-order ODEs
(b) Second-order linear ODEs
(c) Higher-order linear ODEs
(d) Power-series solutions of ODEs
(e) Special functions
2. Laplace Transform
3. Fourier Analysis
(a) Fourier series
(b) Fourier integral
(c) Fourier transform
4. Partial Differential Equations (PDEs)