NMAB11004U Differential Equations (Diff)

Volume 2015/2016
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 (An0) and Analyse 1 (An1), 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
The course has been selected for ITX exam at Peter Bangs Vej
Aid
All aids allowed

NB: If the exam is held at the ITX, the ITX will provide you a computer. Private computer, tablet or mobile phone CANNOT be brought along to the exam. Books and notes should be brought on paper or saved on a USB key.

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.