偏微分方程導論

Partial differential equations are an important mathematical tool for solving problems in science and engineering. This course hopes to guide students in learning the theory and application of partial differential equations. Course Overview: This course will introduce in detail various basic partial differential equations, from first order to second order, from linear to nonlinear, from basic theory to practical application; it will also allow students to understand the application of these partial differential equations in physics, engineering and other scientific fields. Main Objectives: 1. Understand the basic concepts and classification of partial differential equations. 2. Master the skills of solving first-order and second-order partial differential equations, including separation of variables method, eigenvalue method and transformation method. 3. Learn to apply partial differential equations to solve practical problems such as heat conduction, waves, and electromagnetism.

1. Calculus (including vector calculus) 2. Linear algebra

以版書講授為主。

Midterm exam 35%,Final exam 35%,Classwork and quizzes 30%。

• Introduction to PDE
• Evolution equations on the line
• The Fourier series
• Harmonic functions
• Green’s functions
• Wave equations in space
• Other topics

Partial Differential Equations, Second Edition, Walter A. Strauss.

地點

科學一館338室

時間

By appointment

聯絡方式

carstea@nycu.edu.tw