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.

Week	Topic	Sections	Homework	Remarks
12.1	Introduction	J.S: 1.1-1.3,1.5, 1.7		Repetition
14.1	Introduction	J.S: 1.1-1.3, 1.5, 1.7	Read the rest of Chapter 1 in J.S	Repetition
	Well-posedness	H.: Ch. 1
19.1	Well -posedness	H.: Ch. 1		Repetition
21.1	Linear 2x2 systems	J.S: 2.4-2.6		Repetition
26.1	Linear 2x2 systems	J.S: 2.4-2.6		Repetition
	Nonlinear 2x2 systems	J.S: 2.1
28.1	Nonlinear 2x2 systems	J.S: 2.3		Repetition
		H.: Ch. 2
2.2	Nonlinear 2x2 systems	H.: Ch. 2		Repetition
4.2	Nonlinear 2x2 systems	H.: Ch. 2		Repetition
		J.S: 2.2, 2.7
9.2	Nonlinear 2x2 systems	J.S: 2.2		Repetition
	Index theory	J.S: 3.1
11.2	Index theory	J.S: 3.1		Repetition
16.2	Index theory	J.S: 3.2		Repetition
	Limit cycles and closed paths	J.S: 3.4
18.2	Limit cycles and closed paths	J.S: 3.4		Repetition
	Poincare maps	J.S: 13.1
	Homoclinic and heteroclinic paths	J.S: 3.6
23.2	Poincare stability	J.S: 8.1-8.2		Repetition
	Liapunov stability	J.S: 8.3-8.4
25.2	Liapunov stability	J.S: 8.4		Repetition
	Linear nxn systems	J.S: 8.5-8.6
1.3	Linear nxn systems	J.S: 8.5-8.6		Repetition
	Stability of nxn systems	J.S: 8.7-8.11
3.3	Stability of nxn systems	J.S: 8.7-8.11		Repetition
8.3	Stability of nxn systems	J.S: 8.11		Repetition
	Liapunov method	J.S: 10.1, 10.3, 10.6
10.3	Liapunov method	J.S: 10.6-10.8		Repetition
15.3	Liapunov method	J.S: 10.8		Repetition
17.3	Matrix exponential	J.S: 10.9-10.10		Repetition
31.3	Matrix exponential	J.S: 10.10		Repetition
	Poincare-Bendixson	H.: Ch. 6
5.4	Poincare-Bendixson	H.: Ch. 6		Repetition
	Periodic solutions	J.S: 11.1
7.4	Periodic solutions	J.S: 11.1-2		Repetition
12.4	Periodic solutions	J.S: 11.2-3		Repetition
14.4	Periodic solutions	J.S: 11.3		Repetition
	Bifurcations	J.S: 12.2
19.4	Bifurcations	J.S: 12.1, 12.3		Repetition
21.4	Bifuractions	J.S: 12.4	Alternative solution to Exam 2013, 3 without mistakes	Repetition
26.4	???

Curriculum (final)

J.S: Chap. 1, 2, 3 (3.3. and 3.5. excl.), 8, 10, 11.1-3, 12.1-4, 13.1
H: Chap. 1, 2, 3, 4, 5, 6
All exercises