Applied Mathematics
5 credits
Syllabus, Master's level, 1MA148
A revised version of the syllabus is available.
- Code
- 1MA148
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Mathematics A1N, Mathematics A1N
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 11 June 2015
- Responsible department
- Department of Mathematics
Entry requirements
120 credits including 60 credits in mathematics.
Learning outcomes
In order to pass the course (grade 3) the student should be able to
- solve standard problems within the areas covered by the course;
- analyse and qualitatively describe the behaviour of solutions of dynamical systems and differential equations;
- give mathematical formulations of the most relevant problems in applied mathematics that are covered during the course.
- .
Content
The course gives an introduction to a number of modern methods and techniques in applied mathematics via examples from applied areas. The course consists of the following topics:
- Dynamical systems;
- Perturbation methods;
- Calculus of variation;
- Introduction to the theory of partial differential equations;
- Sturm-Liouville problems and eigenfunctions expansions;
- Integral equations.
Instruction
Lectures and problem solving sessions.
Assessment
Written examination at the end of the course
Reading list
- Reading list valid from Autumn 2023
- Reading list valid from Autumn 2022
- Reading list valid from Autumn 2020
- Reading list valid from Spring 2019
- Reading list valid from Autumn 2018
- Reading list valid from Spring 2015
- Reading list valid from Spring 2013
- Reading list valid from Autumn 2012
- Reading list valid from Autumn 2010, version 2
- Reading list valid from Autumn 2010, version 1