Recent messages

Teachers

Hjalmar Rosengren, Lecturer and examiner

Magnus Goffeng, Teaching assistant

Literature

W. Walter, Ordinary Differential Equations, Springer-Verlag, 1998.
This has been announced as the course literature, but I do NOT recommend you to buy it.

K. G. Andersson and L.-C. Böiers, Ordinära differentialekvationer, Studentlitteratur, 1993.
This is a great book, but unfortunately only available in Swedish. I will follow it rather closely. If you can read Swedish, I recommend you to get it.

G. Teschl, Ordinary Differential Equations and Dynamical Systems.
These lecture notes can be downloaded for free. I found them just a few days before the start of the course, so I have not looked at them in detail. However, they seem very useful, especially for those who do not read Swedish. The relevant chapters are 1, 2, 3, 5, 6, 7.

Further material

Some exercises, mostly taken from Walter.

Some small notes.

Lecture notes about Lyapunov's method.

Lecture notes about linearization.

Lecture notes about boundary value problems.

Theory check-list.

Questionnaire. Please hand this in before the end of the course!

Preliminary programme

Day	Chapter	Content	Exercises
Jan 20	AB 0.1-0.3 T 1.1-1.4, 3.3	Introduction. Solution methods.	Ex 1
Jan 23	AB 0.4, 5.1 (browse), 1.1 T 2.1-2.3	Solution curves, phase portraits Existence and uniqueness: Formulation of main results
Jan 27	AB 1.1 T 2.1-2.3, 2.5 (skip Thm 2.16)	Existence and uniqueness: Proofs Maximal solutions	Ex 2
Jan 30	AB 1.2 T 3.4	Linear systems
Feb 3	AB 1.3-1.4, 1.5-1.6 (for orientation) T 2.4 (only Thm. 2.8), 2.6 (for orientation)	Approximation of solutions Numerical methods (brief orientation)
Feb 6	AB 2.1-2-2 T 3.1-3.2	Linear systems with constant coefficients, intoduction
Feb 10	AB 2.4 (orientation) T 3.6 (orientation)	Linear systems with constant coefficients	Ex 3
Feb 13	AB 2.3, 5.2 T 3.4	Linear systems with constant coefficients, conclusion Classification of plane linear autonomous systems
Feb 17	AB 5.1 T 6.5	More about phase portraits	Ex 4
Feb 20	AB 5.3 Lecture notes	Lyapunov's method
Feb 24	AB 5.4 Lecture notes	Linearization	Ex 5
Feb 27	AB 5.5 T 8.1-8.3	Planar autonomous systems: Poincaré-Bendixson's theorem
March 3	AB 4.1-4.3 Lecture notes	Boundary value problems	Ex 6
March 6		Boundary value problems	Ex 7
March 10		Repetition

Computer lab

The computer lab is here. Please hand in your lab reports before March 3. Do not hand in a lot of compute code; instead write a readable account of what you have learned from the laboration. You may cooperate with other students, but the reports should be written individually.

Examination

The examination consists of an obligatory computer laboration and a written exam.
The grade is determined by the written exam, which gives a maximum of 24 points.
For GU students, grades are G (12-17 points) and VG (18-24 points).
For Chalmers students, grades are 3 (12-14 points), 4 (15-17 points) and 5 (18-24 points).
The exam takes place on March 12, 8.30-13.30.
Calculators, handbooks etc. are not allowed at the exam.

Old exams

I will not give out solutions to these old exams. The exam on March 12 will be similar, but contain less problems (about 6).

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