Lecture plan/topics

This plan will be updated throughout the semester. J.S. refers to the book by Jordan and Smith. H. refers to the note by Hanche-Olsen.

Day	Topic	Sections	Remarks
9.1	Introduction	J.S: 1.1-1.3	Repetition
12.1	Introduction	J.S: 1.1-1.3	Repetition
	Well-posedness, uniqueness	H: Ch. 1
16.1	Well-posedness, uniqueness	H: Ch. 1	Repetition
19.1	Linear 2x2 systems	J.S: 2.4-2.6	Repetition
23.1	Nonlinear 2x2 systems	J.S: 2.1, 2.8	Repetition
26.1	Nonlinear 2x2 systems	J.S: 2.3, 2.7	Repetition
		H.: Ch. 2
30.1	Nonlinear 2x2 systems	J.S: 2.3, 2.7	Repetition
		H.: Ch. 2
2.2	Nonlinear 2x2 systems	J.S: 2.7, 2.2	Repetition
6.2	Stability	J.S: 8.1-8.4	Repetition
9.2	Stability	J.S: 8.1-8.4	Repetition
	Linear nxn systems	J.S: 8.5-8.6
13.2	Linear nxn systems	J.S: 8.5-8.6	Repetition
	Stability	J.S: 8.7-8.8
16.2	Stability	J.S: 8.7-8.11	Repetition
	Matrix exponential	J.S: 8.8, 10.9
20.2	Stability	J.S: 8.9-8.11	Repetition
23.2	Liapunov method	J.S: 10.1, 10.3, 10.6	Repetition
27.2	Liapunov method	J.S: 10.6-10.8, 10.10	Repetition
2.3	Liapunov method	J.S: 10.8, 10.10	Repetition
6.3	Homoclinic / Heteroclinic phase paths	J.S: 3.6	Repetition
	Index theory	J.S: 3.1
9.3	Index theory	J.S: 3.1	Repetition
	Limit cycles and closed paths	J.S: 3.4
13.3	Index Theory	J.S: 3.2	Repetition
	Poincare Bendixson	H.: Ch. 6
16.3	Poincare Bendixson	H.: Ch. 6	Repetition
	Poincare Maps	J.S: 13.1
	Periodic solutions	J.S: 11.1
20.3	Periodic solutions	J.S: 11.1-11.2	Repetition
23.3	Periodic solutions	J.S: 11.3	Repetition
27.3	Bifurcations	J.S: 12.1-12.4	Repetition
30.3	Bifurcations	J.S: 12.1-12.4	Repetition
3.4	Traveling wave solutions for the Korteweg-de Vries equation	Lecture Notes
6.4	Traveling wave solutions for the Korteweg-de Vries equation	Lecture Notes
20.4	Exercise 12
24.4	??