General Information

Course Description

Content and idea



  • Wednesday 10:15–12:00 in R9.
  • Friday 10:15–12:00 in R3.

The lectures start on August 22, 2018.

On October 3, the lecture will be held in R8 instead.


  • Wednesday 13:15–14:00 in Nullrommet (SB2, room 380A).

First exercise: August 27.

Exercise classes will no longer be held in S4.


  • Office hours: Thursday, 10-11.


  • For questions, feel free to e-mail me (


  • Project (25%)
  • Final exam (75%)
    • Time: December 18, 2018, 15:00–19:00.
    • Aids: C (Rottmann Matematisk Formelsamling and approved calculator)

Final curriculum:

The curriculum is defined by the lectures, the homework, and the problem sets. A more detailed overview of the curriculum will be published in due time here.


If you are serious about learning this course, you have to do the home work problems.

  • New problems every week.
  • Help is available at the exercise classes (Assistant)
  • Written solutions will be made available eventually.

Course Material

We will use notes made by Harald Krogstad and copies of parts of books:

  • Copies of Lin & Segel (1988) Chapters 9 and 10 (Singular perturbation). Book available online, freely at NTNU, see below.
  • Copies of Logan (1987) Sections 6.1 and 6.2 (Stability and bifurcations)

A booklet collecting the above notes and copies will be made available in Blackboard.

  • The content of the notes are for the most part covered by the book Lin & Segel (see below).
  • There may be some additional notes.
  • S. Howison: Practical Applied Mathematics - Modelling, Analysis, Approximation. Cambridge University Press, 2005 (used as textbook in 2005)
  • A.C. Fowler: Mathematical Models in the Applied Sciences, Cambridge University Press, 1997, Cambridge (more advanced than Howison)
  • F.R. Giordano, W.P. Fox, S.R. Horton og M.D. Weir: A First Course in Mathematical Modelling, 2009, 4th Ed., Brooks/Cole, Cengage Learning (elementary)
  • C.M. Bender og S.A. Orzag: Advanced Mathematical Methods for Scientists and Engineers, Springer 1999 (classic, reference book)
  • J.D. Logan: Applied Mathematics, 3rd ed., Wiley 2006 (reference book)
2018-10-10, Ola Isaac Høgåsen Mæhlen