course-details-portlet

TMA4165 - Differential Equations and Dynamical Systems

About

Examination arrangement

Examination arrangement: Written examination
Grade: 

Evaluation Weighting Duration Grade deviation Examination aids
Written examination 100/100 4 hours D

Course content

The course gives an introduction to differential equations and dynamical systems with an emphasis on analytical and qualitative methods for linear and nonlinear differential equations. Topics covered:
Linear and nonlinear systems, existence and uniqueness, continuous dependence, phase plane analysis, equilibria, limit cycles, stability, Lyapunov’s Direct Method, index theory, the Poincaré-Bendixson theorem, and examples of applications. Additional topics that may change from year to year may include bifurcations, discrete dynamical systems and chaos, topics from calculus of variations and classical mechanics.

Learning outcome

1. Knowledge. The student has knowledge of basic concepts and methods from the theory of differential equations and dynamical systems, including analytical and geometrical techniques for the study of qualitative properties of solutions. In particular, the student is familiar linear and nonlinear systems, existence and uniqueness, continuous dependence, phase plane analysis, equilibria, limit cycles, stability, Lyapunov’s Direct Method, index theory, the Poincaré-Bendixson theorem, the additional topics and examples of applications.

2. Skills. The student is able to apply his or her knowledge to the study of concrete examples. The student masters central techniques of proof and is able to apply these to related problems.

Learning methods and activities

Lectures and exercises. Retake of examination may be given as an oral examination. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.

Further on evaluation

see «Teaching methods and activities».

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

Facts

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

Coursework

Term no.: 1
Teaching semester:  SPRING 2019

Language of instruction: -

Location: Trondheim

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

Department with academic responsibility
Department of Mathematical Sciences

Examination

Examination arrangement: Written examination

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD Written examination 100/100 D 2019-06-01 09:00
Room Building Number of candidates
SL274 Sluppenvegen 14 0
Storhall del 1 Idrettssenteret (Dragvoll) 0
Summer UTS Written examination 100/100 D
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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