Latest news
Welcome to the course! The schedule for the course can be on TimeEdit.
Examiner
Docent Michael Björklund, micbjo@chalmers.seCourse literature
During the course I will write  and continually update  lecture notes, which to a large extent are based on the exposition in Gerald Teschl's book "Ordinary Differential Equations and Dynamical systems", which is freely accessible on the author's homepage:
https://www.mat.univie.ac.at/~gerald/ftp/bookode/ode.pdf
Other alternative/complementary sources will be posted shortly.
Course outline
The course splits into lectures (Mondays + Fridays) and exercise classes (Wednesdays).
During the lectures, important results and their technical details will be discussed,
while the exercise classes are devoted to examples, tricks and counterexamples.
Starting from the 2nd week, I will post recommended exercises from Teschl's book.
Lectures
Lecture 
Room  Topic  Comments 

Jan 15, 13.1515.00  MVL14 
Motivation
through examples  Special flows 

Jan
19, 08.0010.00 
MVL15 
PicardLindelöf I  Banach's Fixed Point Theorem 

Jan 22, 13.1515.00 
MVL14 
PicardLindelöf II  Dependence on initial values 

Jan 26, 08.0010.00 
MVL14 
PicardLindelöf
III  The Variation Principle 

Jan 29, 13.1515.00 
MVL14 
Linear
ODEs and their fundamental solutions 

Feb 2, 08.0010.00  MVL15  Exponential map  
Feb 5, 13.1515.00  MVL14  Hamiltonian ODEs and their (global) flows I  
Feb 9, 08.0010.00  MVL14  Hamiltonian ODEs and their (global) flows II  
Feb 12, 13.1515.00  MVL14  Lyapunov stability at fixed points  
Feb ??, ???  ???  Periodic orbits and and a bit of Floquet Theory  
Feb 19, 13.1515.00  MVL14  Structural stability and HartmanGrobman I  
Feb 23, 08.0010.00  MVL15  Structural stability and HartmanGrobman II  
Feb 26, 13.1515.00  MVL14  Planar systems: PoincareBendixon  
Mar 2, 08.0010.00  MVL15  Summary + Loose ends  
Mar 5, 13.1515.00  MVL14  An old exam 
Exercise classes
Exercise class  Room 
Topic  Comments 

Jan
17, 10.0011.45 
MVL14 
Toy problems + Old tricks  
Jan
24, 10.0011.45 
MVL14 
Some counterexamples  
Jan
31, 10.0011.45 
MVL14 
Explicit calculations  
Feb
7, 10.0011.45 
MVL14 

Feb
14, 10.0011.45 
MVL14 

Feb 21, 10.0011.45  MVL14  
Feb 28, 10.0011.45  MVL14  
Mar 7, 10.0011.45  MVL14 
Mandatory computer lab
The course includes a mandatory (computer assisted) home assignment; details will be posted here shortly. You will have to hand in a (not handwritten) report, which will be graded, and the grade contributes to the final grade of the course. Although you are encouraged to cooperate, the reports must be composed individually.
Reference literature for Matlab:
Learning MATLAB, Tobin A. Driscoll ISBN: 9780898716832 (The book is published by SIAM).
Course requirements
The learning goals of the course can be found in the course plan.
Examination
More details will be posted shortly.
Examination procedures
In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers. In addition to that, there is a schedule when exams are given for courses at University of Gothenburg.
Before the exam, it is important that you sign up for the examination.
If you study at Chalmers, you will do this by the
Chalmers Student Portal, and if you study at University of
Gothenburg, you sign up via GU's
Student Portal.
At the exam, you should be able to show valid identification.
After the exam has been graded, you can see your results in Ladok by logging on to your Student portal.
At the annual (regular) examination:
When it is practical, a separate review is arranged. The date of the
review will be announced here on the course homepage. Anyone who can not
participate in the review may thereafter retrieve and review their exam
at the Mathematical
Sciences Student office. Check that you have the right grades and
score. Any complaints about the marking must be submitted in writing at
the office, where there is a form to fill out.
At reexamination:
Exams are reviewed and retrieved at the Mathematical
Sciences Student office. Check that you have the right grades and
score. Any complaints about the marking must be submitted in writing at
the office, where there is a form to fill out.
Old exams
Since the lecturer/examiner is new, the exam might be slightly different from earlier years. A "Model Exam" will be posted shortly, as well as exams from earlier years.