Messages
HAPPY HOLIDAYS. ALL THE BEST WISHES.
As announced in the review lectures, the final exam will exclude the Lyapunov exponents (posted on Dec. 13)
Corrections to the text are available online fron the author's homepage (posted on Nov. 26)
Monday class (11/19) is cancelled.(posted on Nov. 18)
Graded homework 6 are available after 2:00pm today (Tuesday) (posted on Nov. 13)
The second midterm covers the material from 4.2 to 5.5. (posted on Nov. 9)
Review for the second midterm is on Monday, Nov 12. (posted on Nov. 4)
Welcome to Math 5535. The first lecture is on Wed. Sep. 5. (posted on Sep. 4)
General information
Time and locations: M W F 2:30 pm - 3:20 pm, VinH 2Instructor: Luan Thach Hoang
Office: VinH 535
Phone: (612) 625-9347
Fax: (612) 626-2017
Email address: lthoang(at)math(dot)umn(dot)edu
Office hours: M W 10:30 am - 11:30 am; F 3:30 pm - 4:30 pm
Text
An Introduction to Dynamical Systems: Continuous and Discrete, by R. Clark Robinson, Pearson Prentice Hall, 2004Overview: We will cover Part 1 of the text (first seven chapters) and selected topics of Part 2, particularly those in Chapters 13 and 14.
Other references:
- Differential equations, dynamical systems, and linear algebra, by M. Hirsch and S. Smale
- Differential equations and dynamical systems, by L. Perko
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, by J. Guckenheimer and P. Holmes
- Introduction to applied nonlinear dynamical systems and chaos, by S. Wiggins
Grading and examination policies
Homework will be assigned and collected weekly. They will count for 25% of the grade. There will be two midterm exams in class during the semester and a final exam. Each midterm exam will count for 20% of the grade, the final exam for 35% of the grade. Students are expected to turn in all homework problems. The lowest homework score will be dropped. The exams are closed-book. No make-up exams unless legitimate documents for excuses are presented.Class schedule
| Dates | Contents |
|---|---|
| Wed., Oct. 10 | Midterm 1 |
| Wed., Nov. 14 | Midterm 2 |
| Nov. 22-23 | Thanksgiving holidays |
| Mon., Dec. 17 | FINAL EXAM 10:30 am - 12:30 pm. VinH 2. |
Homework assignments
Homework assignments are given in class and also listed here.| No. | Due date | Problems |
|---|---|---|
| HW 1 | Wed. 9/19 | 2.1: 1, 2, 3; 2.2: 1a,b,d |
| HW 2 | Wed. 9/26 | 2.2: 1c,f,g, 2, 3; 2.3: 1 |
| HW 3 | Wed. 10/3 | 2.3: 2; 3.1: 1,3,4,8 |
| HW 4 | Fri. 10/12 | 3.1: 10, 11; 4.1: 1 and 2 for c, d |
| HW 5 | Wed. 10/24 | 4.2: 1, 2: 4.3: 1; 4.4: 2, 4 |
| HW 6 | Wed. 11/7 | 5.2: 1, 2, 4ab (typo: replace x^2-0 by x^2-9); 5.3: 2abc ; 5.5: 2 |
| HW 7 | Wed. 11/28 | 6.1: 1; 6.2: 1, 2abcde, 3abcde; 6.6: 3 |
| HW 8 | Wed. 12/5 | 6.4: 1,4; 6.6: 4ab; 6.7: 3,4 |
| HW 9 | Wed. 12/12 | 7.1: 1,2; 7.2: 1,2; 7.6: 3ab |
Student conduct
Students are required to have scholastic honesty and respect for others. We will follow university policy on student conduct (click here to see the details).Advice
Come to class regularly, work on homework problems, write the solutions clearly. Ask questions in class and get help from the instructor during the office hours. Master the material quickly and DO NOT wait too late until the midterms or final exam. Students are encouraged to give feedbacks to the instructor during the semester using the form posted here.Downloads
- A printable version of the syllabus is here.
- Unofficial evaluation: Students can use this form to give feedbacks to the instructor anytime during the semester.
- Printable list of homework problems