Week #

Homework problems

Due date



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



1112

Quiz 04 (Thursday, December 1st). (Solution published) Topic: Limit sets.
Training problem from HW for PoincareBendixon's theory.
Take home Quiz 05 (Thursday, December 8th).. Topic: PoincareBendixon'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.

68

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.

14

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

September 13th, 2016, class time.

