M638 DYNAMICAL SYSTEMS

SYLLABUS

POLICIES

ASSIGNMENTS

FINAL PROJECTS

COURSE MATERIAL


      M638 Dynamical Systems / Assignments

No.
Topic
Section/Problems
Due Date:
on each day
(No late homework )
Academic Integrity
All work that you complete in this class should be your own. In particular, exams, homework, and quizzes, are considered individual work. Copying someone else work is considered cheating and will be penalized. Any form of cheating will result in an "F" and a referral to the Center for Student Rights and Responsibilities (SDSU Student Affairs) for further action.
1.
 Introduction to MATLAB Matlab tutorial. Type in all instructions in Matlab (follow the entire tutorial) and submit to me by email a diary of it (to do the diary: do "diary FirstName_LastName_M638.txt" as the first instruction and this will save all your inputs in that file)


Thursday, January 26

2.
 Ch. 2 Flows on the Line
  • 2.2.1, 2.2.3, 2.2.4, 2.2.8, 2.2.11
  • 2.3.3, 2.3.4
  • 2.4.2, 2.4.7, 2.4.9

Thursday, February 2
3.
 Ch. 3 Bifurcations
  • 3.1.1, 3.1.4,
  • 3.2.3,
  • 3.3.2,
  • 3.4.4, 3.4.6, 3.4.7, 3.4.9, 3.4.11
Thursday, February 9
4.
Flows on the Circle
  • 4.1.5, 4.1.6,
  • 4.2.2,
  • 4.3.1, 4.3.2, 4.3.3, 4.3.4, 4.3.5
  • 4.4.1,
Thursday, February 16
5.
 Flows on the Circle (continued)
Typed review of research paper
( download paper )
Tuesday, February 21
( Guidelines )
6.
Linear Systems
  • 5.1.4, 5.1.9,
  • 5.2.1, 5.2.2, 5.2.5, 5.2.12,
  • 5.3.2
Thursday, February 23
7.
Nonlinear Systems
  • 6.1.3, 6.1.8, 6.1.11,
  • 6.3.9, 6.3.14
  • 6.4.4,
  • 6.5.2, 6.5.7, 6.5.11
Thursday, March 2
 
Midterm Exam

Take Home
( download exam )


Tuesday, March 14
In-Class

Thursday, March 16
Center Manifold Reduction
  Normal Forms
8.
Limit Cycles
  • 7.1.5, 7.1.6,
  • 7.2.6 (a), 7.2.9, 7.2.13
  • 7.3.1, 7.3.5, 7.3.12
  • 7.5.1, 7.5.7,
  • 7.6.2, 7.6.5
Tuesday, April 11
9.
Chaos    
10.
 Title of project (20 Points)
Thursday, April 6
11.
 Final Project    
 
FINAL PROJECT/REPORT
 
Tuesday, May 9
by 12Noon




Milk Splash