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