Week #

Homework problems

Due date



Final Exam (10am, Tuesday, December 9th, 2014).



1112

Take home Quiz 03. (Solution published) (due date: Tuesday, December 2nd, scan is enough). Topic: Limit sets.
Take home Quiz 04. (Solution published) (due date: Thursday, December 4th, scan is enough). Topic: Floquet theory.
Training problem from HW for PoincareBendixon's theory.
Take home Quiz 05 (due date: Friday, December 5th, 5pm, scan is enough). Topic: PoincareBendixon's theory.
Take home Exam 2 (Solution published)
(due 12pm, Monday, December 10th, 2014, scan is enough).
Additional reading on Floquet method.
Qualifier from August, 2013.
Solution of the first two problems from Qualifier of August, 2013.
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 5th, 2014, 2pm.
(You can send me a scan of the HW)

10

Take home Exam 1. (Solution published)
(due Tuesday, November 11th, 2014).
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 20th, 2014, 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 6th, 2014, class time.

68

Quiz 02 (Thursday, October 30th). (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 30th, 2014, class time.

5

Quiz 01 (Tuesday, October 7th). (Solution published) Topics: Jordan canonical form of a matrix.
LP Section 1.9 (p. 57): 2(b,d);
LP Section 1.10 (p.61): 3.

October 7th, 2014, class time.

14

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. 3738): 1(a,c), 2(c), 3(d);
LP Section 1.8 (p. 4749): 2(c), 6(f,g), 7, 10.

September 16th, 2014, class time.

