course-details-portlet

TMA4165 - Differential Equations and Dynamical Systems

About

Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation Weighting Duration Examination aids
Written examination 100/100 4 timer

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.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
SIF5025 7.5
More on the course

No

Facts

Version: 1
Credits:  7.5 SP
Study level: Third-year courses, level III

Coursework

Term no.: 1
Teaching semester:  SPRING 2012

Language of instruction: -

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Subject area(s)
  • Mathematics
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences