MATH 4280-0

Brief

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, heat transfer, potential theory, etc. Students registering to this course should have some background knowledge on advanced calculus, linear algebra, and elementary differential equations.

Description

Course keywords: 橢圓方程、拋物方程、雙曲方程、波方程、熱傳導、反應擴散方程、elliptic equations, parabolic equations, hyperbolic equations, wave equation, heat transfer, reaction-diffusion equations Textbook Walter Strauss: Partial Differential Equations, An Introduction, Second Edition, 2008 (First edition would be also fine!) Course Description 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, heat transfer, 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 PDEs come from 2. Waves and Diffusions 3. Reflections and Sources 4. Boundary Problems 5. Fourier Series 6. Harmonic Functions 7. Green's identity and Green's Functions Grading Quizzes/Homework (20%): Homework assignments will be mostly selected from the textbook. Some of them will be collected and graded. Quizzes will be based on homework assignments and taken place during discussion sessions. Details are to be announced during the first week of classes. Exams (80%): There will be two exams, each worth 40% of the course grade. Precise dates will be scheduled during the first week of classes.

Timetable

Scores

Average GPA 3.66

Std. Deviation 0.99

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