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 of ordinary differential equations and introduces basic linear partial differential equations and their solutions. The course objectives are
1. Learn the origin, derivation process and solution properties of partial differential equations such as the wave equation, reaction diffusion equation, Laplace equation, etc.
2. Learn the solutions to initial value problems of conservation law equations, wave equations, and reaction-diffusion equations.
3. Learn the solutions to boundary value problems of conservation law equations, wave equations, reaction diffusion equations, and Laplace equations.
4. Learn the theory of Fourier series.

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, Introduction to Partial Differential Equations.