國立清華大學數學系

常微分方程二

Math 5251-00 (Spring 2021) Ordinary Differential Equations II 


Instructor: 陳國璋 Kuo-Chang Chen

Hours and days: W5W6W7

Classroom: 綜三 631

Office: 綜三 609 

Phone Number: (03) 5715131 Ext: 33067 

Office Hours: W8 or by appointments

Email: kchen@math.nthu.edu.tw

 

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 course is 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 spring semester include (but not limited to):

1. Linear systems with periodic coefficients

2. Two-dimensional dynamical systems

3. Index theory

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: 70%. (posted on iLMS e-learning system)

Final project: 30%