為本系學生建立必須的工程用數學知識基礎。修習本課程後學生應熟悉常微分方程之解法、聯立常微分方程、微分方程之數列解法、Laplace轉換及其應用、正交方程式與邊界值問題。
評分標準：
1. 作業和作業小考成績(15次選12次)(15%)
2. 1st Exam (20%) (Chapter 1 & 2)
3. 2nd Exam (20%) (Chapter 3)
4. 3rd Exam (20%) (Chapter 4)
5. Final Exam (25%) (Chapter 1, 2, 3, 4, 5 & 12)
課本：
Dennis G. Zill, and Michael R.Cullen, Advanced Engineering Mathematics, 6th Edition, Jones and Bartlett. (滄海書局, Tel: (04) 2708-8787)
參考書本：
Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons, Inc.
(歐亞書局, Tel: (02) 8912-1188)
Peter V. O’Neil, Advanced Engineering Mathematics, 5th Edition, Thomson
(東華書局, Tel: 0919094444)
課程進度：第一週 ~第十八週
Part 1: Ordinary Differential Equations
Chapter 1 Introduction to Differential Equations
Chapter 2 First-Order Differential Equations
Chapter 3 Higher-Order Differential Equations
Chapter 4 The Laplace Transform
Chapter 5 Series Solutuions of Linear Equations
Part 4: Fourier Series and Partial Differential Equations
Chapter 12 Orthogonal Functions and Fourier Series
備註: 實際上課進度將依學生之學習狀況彈性調整。
