Course - Differential Equations and Dynamical Systems - TMA4165
TMA4165
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.
Differential Equations and Dynamical Systems
Choose study year
Credits
7.5
Level
Third-year courses, level III
Course start
Spring 2012
Duration
1 semester
Examination arrangement
Written examination
About
About the course
Course content
Linear systems in general. The exponential map. The phase plane. Phase diagrams for linear systems. Existence and uniqueness. Iteration techniques. Discrete dynamical systems. Fractals. Equilibrium points. Limit cycles. The Poincare-Bendixson theorem. Index theory. Attractors. Chaos. Symbolic dynamics. Duffings's and van der Pol's equations. Examples related to applications.
Learning outcome
To give the students an introduction to analytic and geometric methods for ordinary differential equations and dynamical systems.
Learning methods and activities
Lectures and exercises. Retake of examination may be given as an oral examination.
Recommended previous knowledge
The course is based on TMA4100/05/10/15/20 Calculus 1/2/3/4K, or equivalent.
Course materials
Will be announced at the start of the course.
Credit reductions
Course code | Reduction | From |
---|---|---|
SIF5025 | 7.5 sp |
Subject areas
- Mathematics
- Technological subjects