NMAB11004U Differential Equations (Diff)

Volume 2013/2014
Education
BSc programme in Mathematics
Content
Ordinary differential equations: Existence and uniqueness for solutions to the initial value problem. Power series solution. Bessel's equation. Legendre's equation. Existence and uniqueness for linear systems. Matrix solutions for autonomous systems. Asymptotic stability for non-linear systems.

Partial differential equations: The Cauchy problem for quasi-linear equations of the first order. Classification of linear equations of the second order. The heat equation, by separation of variables.
Learning Outcome
*Knowledge:
The fundamental  concepts of ordinary and partial differential equations, and the main theorems of the course.
*Competences:
Solving simple examples of ordinary and partial differential equations.
*Skills:
Slightly generalise results from the course.
Analyse 0 and 1, or similar.
5 hours of lectures and 4 hours of exercises (teaching assistant) per week for 7 weeks.
  • Category
  • Hours
  • Exam
  • 3
  • Guidance
  • 37
  • Lectures
  • 35
  • Preparation
  • 103
  • Theory exercises
  • 28
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Written examination, 3 hours under invigilation
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Aid
All aids allowed
Marking scale
7-point grading scale
Censorship form
External censorship
Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.