國立清華大學數學系

動態系統導論
Math 3810-00 (Fall 2017)  Introduction to Dynamical Systems 

Instructor: 陳國璋 Kuo-Chang Chen Hours and days: W5W6W7 Classroom: 綜三 119 Prerequisite: 高等微積分、線性代數

Office: 綜三 119 Phone Number: (03) 5715131 Ext: 33067 Office Hours: By appointments Email: kchen@math.nthu.edu.tw

 

Course Description:

This is a mathematical introduction to dynamical systems intended for undergraduate students. We will introduce basic concepts, demonstrate the beauty of this subject through observations and experiments, and then introduce related mathematical theories. In particular, we will introduce concepts and theories of chaos, fractal, attractor, and bifurcation. Students are expected to have taken year-long advanced calculus and linear algebra before enrolling into this course. Knowledge in differential equations and complex analysis will be helpful but not absolutely necessary. 

 

Topics to be covered include:

1.      Introduction: What is a dynamical system?

2.      Fixed points of nonlinear systems

3.      Periodicity and chaos 

4.      Fractals 

5.      Complex dynamical systems

  

Textbook:

Edward R. Scheinerman, Invitation to Dynamical Systems, Dover Publication, 2012. 

The book is available at author’s homepage:

https://www.ams.jhu.edu/ers/books/invitation-to-dynamical-systems/

 

Grading:

Midterm exam on November 8 (35%), Final exam on January 10 (35%), and Final Project/Presentation on January 3 (30%)

 

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.

 

Web Link:

http://www.math.nthu.edu.tw/~kchen/teaching/3810F17.html