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工程數學 Chapter 14 Complex integration indefinite integral 楊學成 老師.

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Presentation on theme: "工程數學 Chapter 14 Complex integration indefinite integral 楊學成 老師."— Presentation transcript:

1 工程數學 Chapter 14 Complex integration indefinite integral 楊學成 老師

2 單元架構 14-1 Indefinite integral. 14-2 Cauchy’s Integral Theorem
14-3 Existence of indefinite Integral 14-4 Cauchy’s Integral Formula 14-5 Derivatives of Analytic Functions.

3 14.1 Indefinite integral. 學習完本小節後,您將能: 1. 能說出什麼是Indefinite integral.
學習目標 學習完本小節後,您將能: 1. 能說出什麼是Indefinite integral. 2. 能寫出Indefinite integral.的方程式 3. 能計算基本的Indefinite integral.方程式

4 Basic concepts

5 Basic concepts

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14 14.2 Cauchy’s Integral Theorem
學習目標 學習完本小節後,您將能: 1. 能說出何謂柯西積分定理定義 2. 能具體描述柯西積分定理的特性 3. 能寫出何謂柯西積分定理 4. 能進行柯西積分定理的繪製

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28 14.3 Existence of indefinite Integral.
學習目標 學習完本小節後,您將能: 1. 能說出什麼是Existence of indefinite Integral. 2. 能寫出Existence of indefinite Integral的方程式 3. 能計算基本的Existence of indefinite Integral方程

29 Basic concepts

30 Basic concepts

31 Basic concepts

32 14.4 Cauchy’s Integral Formula
學習目標 學習完本小節後,您將能: 1. 能說出什麼是Cauchy’s Integral 2.能寫出Cauchy’s Integral Formula的解題順序 3.能進行Cauchy’s Integral Formula的繪製 4. 能進行Cauchy’s Integral Formula的方程式求解

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42 14.5 Derivatives of Analytic Functions.
學習目標 學習完本小節後,您將能: 1. 能了解什麼是Derivatives of Analytic Functions 2. 能寫出Derivatives of Analytic Functions的方程式 3. 能計算基本的Derivatives of Analytic Functions 方程式

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