Day

Topic, chapter

Comments, recommended exercises


V1  
18/1  An introduction to the course and practical matters A sweep through Ch. 1 of the book 
All exercises from Ch. 1 are relevant  
18/1  Beginning of Ch. 2: the contraction mapping theorem.  
21/1  Exercises: P 1.1, (P1.2) , P1.6, P1.11, P1.20, P1.31  Tell me what is difficult and sign up for next week here  
V2  
25/1  Basic ODEtheory; PicardLindelöf; Introduction to the computer exercise 

25/1  Exercises:  
28/1  Student's presentations Properties of solutions to odes Extension of solutions, differentility etc. 
Tell me what is difficult and sign up for presentations on Feb 4 here  
V3  
1/2  A little about numerical methods Linear systems 

1/2  Exercises: 2.20, 3.1, 3.2, 3.13. Please start working on your computer exercise, and ask if you need som help.  
4/2  Linear algebra: Matrix exponential invariant subspaces, Jordan forms 
Tell me what is difficult and sign up for presentations on Feb 8 here  
V4  
8/2  Linear systems; stable and unstable subspaces etc.  
8/2  Student's presentations Linear, nonautonomous systems 

11/2  Exercises:  Tell me what is difficult and sign up for presentations on Feb 18 here  
V5  
15/2  Dynamical systems (Ch. 6).  
15/2  Exercises:  
18/2  Student's presentations Dynamical systems (Ch. 6) 
Tell me what is difficult and sign up for presentations on Mars 4 here  
V6  
22/2  Examples from Ch. 7  
22/2  The Poincaré Bendixon theorem  
25/2  
V7  
1/3  Something about higher dimensional systems (from Ch. 8) Local behaviour near fixed points (Ch. 9) 

1/3  
4/3  Student's presentations Local behaviour near fixed points (Ch. 9) 

V8  
8/3  Repetiton  
8/3  Repetition: an old exam  
10/3  NB. Check the offical schedule for exact date and time. 
Written examination
The written exam consists of problems to be solved and of
theory questions. Some more inforamation about the written
exam, and a list of important theory questions are given in
the exam information
sheet (check that you have the version from January 11, 2011).
During the exam the following aids are permitted: only pencil and eraser, no books, notes, calculators
Bring ID and students at Chalmers also should bring a receipt for the
student union fee
You will be notified the result of your exam by email from LADOK (This
is done automatically as soon as the exams have been marked an the
results are registered)
The exams will then be kept at the students' office in the Mathematical
Sciences building.
Check that the number of points and your grade given on the exam and
registered in LADOK coincide.
Complaints of the marking should be written and handed in at the ...
Computer assignment
All handin shall
be composed individually. (However, when working with the
assignments, cooperation is encouraged.) The handins should be
delivered in the form a pdffile sent to the examinor no
later than the date of the
written exam. The reports should be sufficiently complete to be
read by someone who does not have axcess to the labinstructions.
Active participation
Students are assumed to participate actively in the lectures and
exercise classes. Starting from week 2, students will present the
solution to some of the exercises at the black board. In the
beginning of the week, there will be a list of problems presented
on the web page, and a form to sign up for the problems. Signing
up for a problem means that the student agrees to present the
solution in front of the class in the next lecture. The teacher
will then choose, more or less randomly, among those students who
have signed up. To pass the course, a student must sign up
for at least 30% of the total number of proposed problems, and if
selected to present a solution, to show that he/she is well
prepared to do so. The purpose of this to improve the
student's ability of communicating mathematical ideas orally.