NMAB11004U Differential Equations (Diff)
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.
*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.
- Category
- Hours
- Exam
- 3
- Guidance
- 37
- Lectures
- 35
- Preparation
- 103
- Theory exercises
- 28
- Total
- 206
As
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Continuing Education - click here!
- Credit
- 7,5 ECTS
- Type of assessment
- Written examination, 3 hours under invigilationThe 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.
Course information
- Language
- English
- Course code
- NMAB11004U
- Credit
- 7,5 ECTS
- Level
- Bachelor
- Duration
- 1 block
- Placement
- Block 3
- Schedule
- C
- Course capacity
- Ingen begrænsning
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Olga Bershteyn (4-726f6a64437064776b316e7831676e)