國立清華大學數學系
微分方程
Math 3010-00 (Fall 2010) Differential Equations

---

Instructor: 陳國璋 Kuo-Chang Chen Hours and days: M2R1R2 Classroom: 綜三 201 Teaching Assistant: 洪雅婷、潘柏宇 Prerequisite: 微積分(&線性代數)

Office: 綜三 609 Phone Number: (03) 5715131 Ext: 33067 Office Hours: M3M4, or by appointments Email: kchen@math.nthu.edu.tw

Textbook

M. Hirsch, S. Smale, R. Devaney: Differential Equations, Dynamical Systems, and an Introduction to Chaos, Elsevier Academic Press, 2004.

A. King, J. Billingham, S. Otto: Differential Equations: Linear, Nonlinear, Ordinary, Partial, Cambridge University Press, 2003. (Chapter 4, e-book available in library)

Course Description

This course is an introduction to the theory of ordinary differential equations intended for students majoring in mathematics. Our aim is to introduce basic concepts and techniques, most of which will be illustrated by planar systems. The only prerequisite is elementary differential and integral calculus. However, students registering to this course but without background on linear algebra are advised to take an introductory course for linear algebra at the same time.
Topics to be covered include:
1. First order equations
2. Second order equations and planar systems
3. Higher order systems
4. Nonlinear systems and global techniques
5. Boundary value problems

Attendance

Students are expected to attend every scheduled class. It is the student's responsibility to keep informed of any announcements, syllabus adjustments or policy changes made during scheduled classes.

Grading

Quizzes/Homework (25%): Homework assignments will be posted on http://www.math.nthu.edu.tw/~kchen/teaching/3010F10HW.htm.
Some of them will be collected and graded. This website will be updated regularly throughout the semester. Quizzes will be based on homework assignments and taken place during discussion sessions. Contact your teaching assistants for dates of quizzes and further details.
Exams (75%): There will be three exams, each worth 25% of the course grade. They are scheduled to October 21 (Thursday), December 2 (Thursday), and January 10 (Monday). All of them will be from 8:00-9:50AM.

Absence from exams

You should miss an exam only for the most compelling reasons and you should obtain permission in advance (except in some extraordinary circumstances). If you miss an exam for legitimate reasons, then it will be weighted to other exams. There will be no make-up exam.