Master’s studies

Syllabus for Applied Mathematics

Tillämpad matematik

Syllabus

  • 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: 2015-06-11
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 25, 2015
  • 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.



  • .

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

Applies from: week 25, 2015

  • Logan, J. David Applied mathematics

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

    Find in the library

    Mandatory