國立清華大學數學系

常微分方程一

Math 5250-00 (Fall 2018) Ordinary Differential Equations I 

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 fall semester include:

1. Fundamental theory

2. Linear systems 

3. Local stability of nonlinear systems

4. Method of Lyapunov functions

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. Contact your teaching assistant if you have any question. 

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% -- November 8 (Thursday) from 10:10am-12:00pm.

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