國立清華大學數學系

常微分方程二

Math 5251-00 (Spring 2019) Ordinary Differential Equations II 

Course Description:

Ordinary differential equations has wide applications in all areas of natural science, social science, and is fundamental to other areas of mathematics, such as partial differential equations, geometry, and probability. This is a year-long course intended for graduate and advanced undergraduate students who have taken standard undergraduate courses for differential equations, linear algebra, and complex analysis. Topics to be covered in the second semester include:

1. Method of Lyapunov functions

2. Two-dimensional dynamical systems 

3. Second order linear equations

4. Perturbation methods

Registered students are recommended to use the iLMS e-learning system (http://www.nthu.edu.tw/elearning.php), where updates of the course will be posted.  

Textbook: 

Sze-Bi Hsu: Ordinary Differential Equations with Applications, 2nd edition, World Scientific, 2013. 

References:

[1]. E. A. Coddington, N. Levinson: Theory of Ordinary Differential Equations, McGraw Hill, 1984.

[2]. R. Miller, A. N. Michel: Ordinary Differential Equations, Dover Publication, 1982.

Grading:

Homework assignments: 20%. Click Here

Midterm Exam: 40% -- May 2 (Thursday) from 10:10am-12:00pm.

Final exam: 40% -- June 20 (Thursday) from 10:10am-12:00pm.