Master’s studies

Syllabus for Applied Mathematics

Tillämpad matematik


  • 5 credits
  • Course code: 1MA148
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Mathematics A1N
  • Grading system: Fail (U), 3, 4, 5
  • Established: 2010-03-18
  • Established by: The Faculty Board of Science and Technology
  • Revised: 2018-02-20
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 30, 2018
  • Entry requirements: 120 credits including 60 credits in mathematics.
  • Responsible department: Department of 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.

  • .


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.



Lectures and problem solving sessions.


Written examination at the end of the course.  Moreover, compulsory assignments may be given during the course in accordance with instructions at the beginning of the course.

Reading list

Reading list

Applies from: week 30, 2018

  • Logan, J. David Applied mathematics

    3. ed.: Hoboken, N.J.: Wiley-Interscience, cop. 2006

    Find in the library