微分方程
Differential Equation
| 節 | 週一 | 週二 |
|---|---|---|
2 09:00–09:50 | 微分方程 ED220（光復） 3 節連堂 | 微分方程 ED220（光復） 3 節連堂 |
3 10:10–11:00 | ||
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
This syllabus is specifically designed for a 16-session (48 hours total) summer intensive course. The curriculum covers fundamental first/higher-order ODEs, Power Series, comprehensive Laplace transform theorems (including Dirac Delta and Convolution), and an introduction to Fourier Series and Partial Differential Equations (Separation of Variables). Linear systems of differential equations are solved using the Method of Elimination (Differential Operators) and the Laplace Transform method. This approach maintains the high academic standards of top engineering institutes while eliminating the prerequisite of advanced Linear Algebra.
Calculus, Linear Algebra
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. Weekly Homework & Quizzes: 30% (Assignments are distributed every Tuesday and collected the following Monday to maintain learning continuity). . Midterm Examination: 30% (Held during the first half of Session 08, 90-minute duration). . Final Examination: 40% (Held during the second half of Session 16, 90-minute duration).
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| 週次 | 主題 |
|---|---|
| 第 1 週 | 7/6開始上課 |
| 第 2 週 | Introduction and First differential equation First-Order ODEs (I), First-Order ODEs (II) |
| 第 3 週 | Higher-Order Linear ODEs (I), Higher-Order Linear ODEs (II) |
| 第 4 週 | Higher-Order Linear ODEs (III), Applications of Linear ODEs |
| 第 5 週 | Power Series Solutions, Series Solutions, and Midterm Exam |
| 第 6 週 | Laplace Transform (I), Laplace Transform (II) |
| 第 7 週 | Laplace Transform (III), Systems of Linear ODEs (I) |
| 第 8 週 | Systems of Linear ODEs (II), Fourier Series (I) |
| 第 9 週 | Fourier Series (II), PDE, PDE Applications, and Final Exam |
Differential Equations with Boundary-Value Problems, 9th Edition, by Dennis G. Zill. Differential Equations and Boundary Value Problems, 12th Edition, by William E. Boyce, Richard C. DiPrima, and Douglas B. Meade.
- 地點
- ED220
- 時間
- TBD
- 聯絡方式
- lucasyang@nycu.edu.tw