本課程是常微分方程的延伸課程，介紹基本的線性偏微分方程與解法。課程目標是
1. 學習守恆律方程 波方程, 反應擴散方程, Laplace 方程等偏微方程的緣由、推導過程與解的性質。
2. 學習守恆律方程、波方程, 反應擴散方程的初始值問題的解法。
3. 學習守恆律方程、波方程, 反應擴散方程, Laplace 方程的邊界值問題的解法。
4. 學習 Fourier 級數的理論。This course is an extension course of ordinary differential equations, introducing basic linear partial differential equations and solutions. The course goal is
1. Learn the properties of the processes and solutions of partially micro equations such as wave equations, reaction expansion equations, and Laplace equations.
2. Learn solutions to the problem of the initial value of observing the law equations, wave equations, and reactions to the expansion equations.
3. Learn the solutions to the boundary problem of the boundary problem of the Laplace equation.
4. Learn the theory of Fourier grades.
1. Walter A. Strauss, Partial Differential Equations: An Introduction, 2nd Ed., John Wiley & Son.
2. 楊智烜，偏微分方程導論。
1. Walter A. Strauss, Partial Differential Equations: An Introduction, 2nd Ed., John Wiley & Son.
2. Yang Zhixuan, a discussion on partial differential equations.
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 作業成績作業成績 Business achievements |
40 | 每週依教學進度指派習題，繳交後由教師給成績 |
| 考試考試 exam |
60 | 期中考30%、期末考30% |
