MATH 4280-0

Brief

In this course I will cover fundamental properties of the three basic but important PDEs: Laplace equation, Heat equation, Wave equation. I will also cover some basic theory for general first order PDEs, especially for linear and quasilinear first order PDEs.

Description

Course keywords: Laplace equation, Heat equation, Wave equation 一、課程說明(Course Description) 本課程主要是介紹基本的偏微分方程:一階偏微分方程及二階線性偏微分方程。我們將學習一些解偏 微分方程的理論及方法. This course is an introduction to the theory of partial differential equations intended for students majoring in mathematics. Our aim is to introduce basic concepts and techniques of partial differential equations. Throughout the course we will illustrate by some important mathematical models for problems from physics, such as wave propagation, diffusion, potential theory, etc. Students registering to this course should have some background knowledge on advanced calculus, linear algebra, and elementary differential equations. Topics to be covered include: 1. Where do PDEs come from? 2. Wave and diffusion, wave equation. 3. Heat and diffusion, heat equation. 4. Laplace equation. 5. Harmonic Functions. 6. Divergent theorem and Green identities. 7. Basic theory for general first order PDEs, especially for linear and quasilinear first order PDEs. 二、指定用書(TextBook) None (I will use my own notes). 三、參考書籍(References) Will be given in due time. 四、教學方式(Teaching Method) Traditional. 習題課時間 Thursday (19:00-21:00) 教室 (to be announced) 五 、 成績考核(Evaluation) Quizzes (30%) One midterm exam (30%) Final exam (40%) 六、可連結之網頁位址

Timetable

Scores

Average GPA 3.47

Std. Deviation 0.78

Remarks

上課時間10:10-11:25am。演習課時間為R 19:00-21:00。應數組二(三)擇一必選修。

Restrictions

數學系大學部3年級4年級優先，第3次選課起開放全校修習

Compulsory

Elective

Cross Discipline

First Specialization

Second Specialization