數學為探討各種自然與工程問題的重要分析工具，工程數學在微積分的基礎之上，更深入探討各種微分方程式的應用及求解方法與技巧，並了解求出其解之特性。透過課堂講授、習題演練及測驗，希望同學能認識並熟悉各類方程式所描述物理現象與解的性質，為未來修習動機系各項專業課程 (材料力學、流體力學、控制理論等) 打下基礎。本課程分為上、下兩學期，下學期講授 vector calculus、Fourier analysis、partial differential equations、complex analysis。

 

1. Vector calculus

2. Fourier series and integral

3. Fourier transform

4. Partial differential equations

5. Complex analysis

 

Kreyszig, E., "Advanced Engineering Mathematics", abridged version 10th ed., John Wiley (2018)

 

參考書籍 (References)

Zill, D.S., "Advanced Engineering Mathematics", 7th ed., Jones & Bartlett (2022)

O'Neil, P.V., "Advanced Engineering Mathematics", 8th ed., Cengage Learning (2018)

Arfken, G.B., "Mathematical Methods for Physicists", 7th ed., Academic Press (2012)

Riley, K.F., "Mathematical Methods for Physics and Engineering", 3rd ed., Cambridge University Press (2006)