Sections:
Book:
Lawrence Perko, 553 pp., Hardcover, Springer, 2001
ISBN: 978-0-387-95116-4.
Additional chapters of Linear Algebra (Jordan blocks): Site of the author (Steven J. Leon) and the direct link to the recommended PDF.
Office hours:
TR 14:00-15:15. Room: SMLC 220.
How grades are assigned?
All homeworks: 100 points.Two midterm exams: 100 points each (100+100 points).
In class quizes: 50 points.
Final exam: 200 points.
Total: 550 points.
Lowest thresholds for grades (not higher than):
A = 495, B = 440, C = 380, D = 330.
| Week # | Homework problems | Due date |
|---|---|---|
| - | Final Exam (10am, Tuesday, December 9th, 2014). | - |
| 11-12 |
Quiz 04 (Thursday, December 1st). (Solution published) Topic: Limit sets. Training problem from HW for Poincare-Bendixon's theory. Take home Quiz 05 (Thursday, December 8th).. Topic: Poincare-Bendixon's theory. Scan of the solution is due: 12pm on Friday, December 9th. Take home Exam 2. (Solution published) (will be published on Friday, December 9th, 2016, scan is enough). Additional reading on Floquet method. LP Section 3.2: 1; LP Section 3.3: 4; LP Section 3.7: 2; LP Section 3.9: 3; LP Section 3.5: 1,2. |
Friday, December 9th, 2016, 2pm. (You can send me a scan of the HW) |
| 10 |
Quiz 03 (Tuesday, November 22nd). (Solution published) Topic: Hamiltonian and gradient systems. Lyapunov stability theory. Take home Exam 1. Published on Friday, November 4th. (Solution published) (due Tuesday, November 8th, 2016). LP Section 2.11: 2 (d,f), 3 (b,f); LP Section 2.12: 2, 7; LP Section 2.13: 2, 5; LP Section 2.14: 8, 11, 12. |
November 22nd, 2016, class time. |
| 9 |
LP Section 2.7: 4, 5, 7; LP Section 2.9: 2, 4, 5 (a,c), 6; LP Section 2.10: 1 (a,b,c), 4 (a,b,c,f). |
November 8th, 2016, class time. |
| 6-8 |
Quiz 02 (Tuesday, October 18th). (Solution published) Topic: Linearization. LP Section 2.2 (p.75): 4; LP Section 2.3 (p.83): 4, 5, 6; LP Section 2.4 (p.92): 2(b), 3; LP Section 2.5 (p. 100): 6, 7; LP Section 2.6 (p. 104): 2, 3. |
October 18th, 2016, class time. |
| 5 |
LP Section 1.9 (p. 57): 2(b,d); LP Section 1.10 (p.61): 3. |
October 4th, 2016, class time. |
| 1-4 |
Quiz 01 (Tuesday, September 20th). (Solution published) Topics: Jordan canonical form of a matrix. Additional chapters in Linear Algebra (see link above): p. 13: 4, 5, 7; p. 22: 3(a,c,e); Find: (a) det[exp(At)] = det[Phi(t)]; (b) a differential equation satisfied by det[exp(At)]; (c) Given det[Phi(0)] = 1; find det[Phi(t)]; LP Section 1.5 (p. 26): 1, 3; LP Section 1.6 (p. 31): 2, 4; LP Section 1.7 (p. 37-38): 1(a,c), 2(c), 3(d); LP Section 1.8 (p. 47-49): 2(c), 6(f,g), 7, 10. |
September 13th, 2016, class time. |