Differential Equation - 106 Academic Year
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。
Textbook：
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| Instructor(s) | College of Electrical and Computer Engineering Prof. Yon-Ping Chen |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 106 Academic Year |
| Level | Freshman |
| Prior Knowledge | Calculus I |
| Related Resources | Course Video Course Syllabus Course Calendar |
| Week | Course Content | Course Video |
|---|---|---|
| Lec0 Introduction | Watch Online | |
| Lec0 Review on Calculus | Watch Online | |
| Lec1 First-order Linear Ordinary Differential Equation with Constant Coefficient (1/3) | Watch Online | |
| Lec1 First-order Linear Ordinary Differential Equation with Constant Coefficient (2/3) | Watch Online | |
| Lec1 First-order Linear Ordinary Differential Equation with Constant Coefficient (3/3) | Watch Online | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (1/4) | Watch Online | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (2/4) | Watch Online | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (3/4) | Watch Online | |
| Lec2 Second-Order Linear Ordinary Differential Equations with Constant Coefficients (4/4) | Watch Online | |
| Lec3 Laplace Transform (1/4) | Watch Online | |
| Lec3 Laplace Transform (2/4) | Watch Online | |
| Lec3 Laplace Transform (3/4) | Watch Online | |
| Lec3 Laplace Transform (4/4) | Watch Online | |
| Lec4 Inverse Laplace Transform | Watch Online | |
| Lec5 General First-Order Ordinary Differential Equations (1/3) | Watch Online | |
| Lec5 General First-Order Ordinary Differential Equations (2/3) | Watch Online | |
| Lec5 General First-Order Ordinary Differential Equations (3/3) | Watch Online | |
| Lec6 Special First-Order Ordinary Differential Equations (1/2) | Watch Online | |
| Lec6 Special First-Order Ordinary Differential Equations (2/2) | Watch Online | |
| Lec7 Linear Second-Order Ordinary Differential Equations (1/3) | Watch Online | |
| Lec7 Linear Second-Order Ordinary Differential Equations (2/3) | Watch Online | |
| Lec7 Linear Second-Order Ordinary Differential Equations (3/3) | Watch Online | |
| Lec8 Power Series Method (1/5) | Watch Online | |
| Lec8 Power Series Method (2/5) | Watch Online | |
| Lec8 Power Series Method (3/5) | Watch Online | |
| Lec8 Power Series Method (4/5) | Watch Online | |
| Lec8 Power Series Method (5/5) | Watch Online | |
| Lec9 Special Topics - Fourier Series and Fourier Transform (1/2) | Watch Online | |
| Lec9 Special Topics - Fourier Series and Fourier Transform (2/2) | Watch Online | |
| Lec9 Special Topics - Wave Equation | Watch Online | |
| Lec9 Special Topics – Laplace Equation | Watch Online | |
| Lec9 Special Topics –Cayley-Hamilton Theorem | Watch Online |
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 |
|
| 2018/03/08 |
| |
| 第四週 | 2018/03/13 |
|
| 2018/03/15 | ||
| 第五週 | 2018/03/20 |
|
| 2018/03/22 |
| |
| 第六週 | 2018/03/27 |
|
| 2018/03/29 |
| |
| 第七週 | 2018/04/03 | 3.Laplace Transform |
| 2018/04/05 |
| |
| 第八週 | 2018/04/10 |
|
| 2018/04/12 |
| |
| 第九週 | 2018/04/17 |
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| 2018/04/19 | ||
| 第十週 | 2018/04/24 |
|
| 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 |
| |
| 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 |
|
| 2018/06/07 | ||
| 第十七週 | 2018/06/12 | Similation Matlab/Simulink |
| 2018/06/14 |
| |
| 第十八週 | 2018/06/21 |
|
Course Handout
| Chap | Download Link |
| 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 |
COURSE
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