General Information
Lectures:
- Tuesday 14:15 - 16:00 in F6
- Thursday 12:15 - 14:00 in EL4
Starting on August 20, 2013
Exercises:
- Tuesday 16:15-17:00 in F6
Starting on August 27, 2013
Lecturer:
- Office hours: Mondays 14:15-15:00
Assistant:
Examination
- Project (25%)
- Final exam (75%)
- Time: 21.12.2012; 09:00 - 13:00
- Aids: C (Rottmann Matematisk formelsamling and approved calculator)
- Solution to final exam:
Curriculum:
The curriculum is defined by the lectures, the home work, and the problem sets.
Homework:
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:
- Dimensional Analysis, Scaling, and Regular Perturbation (older version in Norwegian)
- Population Models (older version in Norwegian)
- Models based on conservation principles (older version in Norwegian)
- Copies of Lin & Segel (1988) Chapters 9 and 10 (Singular perturbation)
- Copies of Logan (1987) Sections 6.1 and 6.2 (Stability and bifurcations)
A booklet collecting the above notes and copies will eventually be sold at department office.
- The content of the notes are for the most part covered by the book Lin & Segel (see below).
- There may be some additional notes.
Recommended, but not required, textbooks:
- 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)
- C.C. Lin og L.A. Segel: Mathematics Applied to Deterministic Problems in the Natural Sciences, SIAM Classics in Applied Mathematics (traditional textbook for this course)
- 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)