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), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2010-03-18
  • Established by:
  • Revised: 2021-10-18
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2022
  • Entry requirements:

    120 credits including 45 credits in mathematics. Participation in Linear Algebra II and in Several Variable Calculus or Several Variable Calculus M and in Ordinary Differential Equations I or Transform Methods. Proficiency in English equivalent to the Swedish upper secondary course English 6.

  • Responsible department: Department of Mathematics

Learning outcomes

On completion of the course, 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 combined with written assignments in accordance with instructions at the beginning of the course.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Reading list

Reading list

Applies from: Autumn 2022

Some titles may be available electronically through the University library.

  • Logan, J. David Applied mathematics

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

    Find in the library

    Mandatory

Last modified: 2022-04-26