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Examiner and lecturer: Bernt Wennberg,,
Exercises: Dawan Mustafa,, homepage

Course literature

Course structure
-- The course is decribed in the course syllabus, which states the learning goals of the course. From a practical point of view, the course consists of lectures, exercise classes and a compulsory computer assignment. In the exercise classes, some problems will be solved at the blackboard by a techer, but I expect students to participate actively. Every week some solustions will be presented by students rather than by teachers (see below about the assessment of the course). Of course ateacher will be present, to help out if it is needed, and to lead the discussion.
-- I will try to keep an up to date course diary , in which the progress of the course is recorded, together with for example comments on exercises.

Preliminary plan for lectures and classes

Topic, chapter
Comments, recommended exercises
  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
 25/1   Basic ODE-theory; Picard-Lindelöf;
  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
 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
 8/2   Linear systems; stable and unstable subspaces etc.  
 8/2   Student's presentations
  Linear, non-autonomous systems
 11/2   Exercises:  Tell me what is difficult and sign up for presentations on Feb 18 here
 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
 22/2   Examples from Ch. 7  
 22/2   The Poincaré Bendixon theorem  
 1/3   Something about higher dimensional systems
  (from Ch. 8)
  Local behaviour near fixed points (Ch. 9)
 4/3   Student's presentations
  Local behaviour near fixed points (Ch. 9)
 8/3   Repetiton  
 8/3   Repetition: an old exam  
 10/3   NB. Check the offical schedule for exact date and time.  

Computer assignment
The purpose of the computer assignments is to
1) give a deeper understanding of the theory that is presented in the lectures.
2) give a training in the use of mathematical software.
The assignments are compulsory, and the hand-ins (written reports) will be graded, and they will contribute to the final marks.
The lab instructions are written in a pdf-document . Please check that you are using an up to date version of the document.

To pass this course you should pass the written exam and complete the computer assignments.

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 hand-in shall be composed individually. (However, when working with the assignments, cooperation is encouraged.) The hand-ins should be delivered in the form a pdf-file 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 lab-instructions.

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.

Course evaluation
In the beginning of the course, two student representatives for the course will be will be selected, who will meet with the lecturer for a halftime evaluation of course. A final evaluation will then take place in the end of the course. An evaluation form is available at . Please fill in your assesments in the web page..