課程介紹

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。

教科書:

Dennis G. Zill, and Michael R.Cullen, Advanced Engineering Mathematics, 6th Edition, Jones and Bartlett. (滄海書局, Tel: (04) 2708-8787)

教學進度:

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

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