Differential Equation - 106 Academic Year
微分方程 - 106學年度
本課程是由 國立陽明交通大學電機工程學系 提供。
本課程主要在介紹微分方程的各種性質及應用，也利用Matlab做為分析的工具，達到工程數學所需的軟體設計訓練。
課程用書：
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| 授課教師 | 電機工程學系 陳永平老師 |
|---|---|
| 課程學分 | 3學分 |
| 授課年度 | 106學年度 |
| 授課對象 | 大學1年級 |
| 預備知識 | 微積分I |
| 課程提供 | 課程影音 課程綱要 課程行事曆 |
| 週次 | 課程內容 | 課程影音 |
|---|---|---|
| Lec0 Introduction | 線上觀看 | |
| Lec0 Review on Calculus | 線上觀看 | |
| Lec1 First-order Linear Ordinary Differential Equation with Constant Coefficient (1/3) | 線上觀看 | |
| Lec1 First-order Linear Ordinary Differential Equation with Constant Coefficient (2/3) | 線上觀看 | |
| Lec1 First-order Linear Ordinary Differential Equation with Constant Coefficient (3/3) | 線上觀看 | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (1/4) | 線上觀看 | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (2/4) | 線上觀看 | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (3/4) | 線上觀看 | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (4/4) | 線上觀看 | |
| Lec3 Laplace Transform (1/4) | 線上觀看 | |
| Lec3 Laplace Transform (2/4) | 線上觀看 | |
| Lec3 Laplace Transform (3/4) | 線上觀看 | |
| Lec3 Laplace Transform (4/4) | 線上觀看 | |
| Lec4 Inverse Laplace Transform | 線上觀看 | |
| Lec5 General First-Order Ordinary Differential Equations (1/3) | 線上觀看 | |
| Lec5 General First-Order Ordinary Differential Equations (2/3) | 線上觀看 | |
| Lec5 General First-Order Ordinary Differential Equations (3/3) | 線上觀看 | |
| Lec6 Special First-Order Ordinary Differential Equations (1/2) | 線上觀看 | |
| Lec6 Special First-Order Ordinary Differential Equations (2/2) | 線上觀看 | |
| Lec7 Linear Second-Order Ordinary Differential Equations (1/3) | 線上觀看 | |
| Lec7 Linear Second-Order Ordinary Differential Equations (2/3) | 線上觀看 | |
| Lec7 Linear Second-Order Ordinary Differential Equations (3/3) | 線上觀看 | |
| Lec8 Power Series Method (1/5) | 線上觀看 | |
| Lec8 Power Series Method (2/5) | 線上觀看 | |
| Lec8 Power Series Method (3/5) | 線上觀看 | |
| Lec8 Power Series Method (4/5) | 線上觀看 | |
| Lec8 Power Series Method (5/5) | 線上觀看 | |
| Lec9 Special Topics - Fourier Series and Fourier Transform (1/2) | 線上觀看 | |
| Lec9 Special Topics - Fourier Series and Fourier Transform (2/2) | 線上觀看 | |
| Lec9 Special Topics - Wave Equation | 線上觀看 | |
| Lec9 Special Topics – Laplace Equation | 線上觀看 | |
| Lec9 Special Topics –Cayley-Hamilton Theorem | 線上觀看 |
課程目標
本課程主要在介紹微分方程的各種性質及應用，也利用Matlab做為分析的工具，達到工程數學所需的軟體設計訓練。
課程章節
| 章節 | 章節內容 |
| Preliminary Material on Calculus ─Fundamental Theorem of Calculus ─Natural Exponential Function ─Taylor Expansion ─Runge-Kutta Method (Skiped) | |
| 單元一 | First-Order Linear Ordinary Differential Equation with Constant Coefficients |
| 單元二 | Second-Order Linear Ordinary Differential Equation with Constant Coefficients |
| 單元三 | Laplace Transform |
| 單元五 | General First-Order Ordinary Differential Equations |
| 單元四 | Inverse Laplace Transform |
| 單元六 | Linear Second-Order Ordinary Differential Equations |
| 單元七 | Power Series Method |
| 單元八 | Special Topics |
課程書目
自編講義
評分標準
| 項目 | 百分比 |
| 作業 | 20% |
| 第一次期中考 | 25% |
| 第二次期中考 | 25% |
| 上機模擬 | 5% |
| 期末考 | 25% |
本課程行事曆提供課程進度與考試資訊參考。
學期週次 | 上課日期 | 參考課程進度 |
第一週 | 2018/02/19 | 尚未開學 |
| 2018/02/22 |
| |
| 第二週 | 2018/02/27 | 1. First-Order Linear Ordinary Differential Equation with Constant Coefficients |
| 2018/03/01 | ||
| 第三週 | 2018/03/06 |
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| 2018/03/08 |
| |
| 第四週 | 2018/03/13 |
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| 2018/03/15 | ||
| 第五週 | 2018/03/20 |
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| 2018/03/22 |
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| 第六週 | 2018/03/27 |
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| 2018/03/29 |
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| 第七週 | 2018/04/03 | 3.Laplace Transform |
| 2018/04/05 |
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| 第八週 | 2018/04/10 |
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| 2018/04/12 |
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| 第九週 | 2018/04/17 |
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| 2018/04/19 | ||
| 第十週 | 2018/04/24 |
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| 2018/04/26 | ||
| 第十一週 | 2018/05/01 |
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| 2018/05/03 | ||
| 第十二週 | 2018/05/08 |
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| 2018/05/10 |
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| 第十三週 | 2018/05/15 |
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| 2018/05/17 | ||
| 第十四週 | 2018/05/22 |
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| 2018/05/24 | ||
| 第十五週 | 2018/05/29 |
|
| 2018/05/31 |
| |
| 第十六週 | 2018/06/05 |
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| 2018/06/07 | ||
| 第十七週 | 2018/06/12 | Similation Matlab/Simulink |
| 2018/06/14 |
| |
| 第十八週 | 2018/06/21 |
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課程講義 Course Handout
| 章節 | 下載連結 |
| 1.First-Order Linear Ordinary Differential Equations with Constant Coefficients | |
| 2.Second-Order Linear Ordinary Differential Equations with Constant Coefficients | |
| 3.Laplace Transform | |
| 4.Inverse Laplace Transform | |
| 5.General First-Order Ordinary Differential Equations | |
| 6.Special First-Order Ordinary Differential Equations | |
| 7.Linear Second-Order Ordinary Differential Equations | |
| 8.Power Series Method | |
| 9.Special Topics |
課程專區
選單