General Information

Public NTNU Course Description

TBA

• 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.

• Markus Grasmair

• Office hours: Thursday, 10-11.

• Ola Mæhlen

• For questions, feel free to e-mail me (ola.mahlen@ntnu.no).

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

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.

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

• Dimensional Analysis, Scaling, and Regular Perturbation
• Population Models
• Models based on conservation principles

• Boundary value problems for conservation laws

• Solution of first order PDEs
• Endimensjonale konserveringslover

• Slides for kidney modeling
• Slides on quenching reaction

• 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)

• 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)

• Jordan and Smith: Nonlinear ordinary differential equations. (dynamical systems, ODEs)

• Hirsch, Smale and Devaney: Differential equations, dynamical systems, and an introduction to chaos. (dynamical systems, ODEs)

• Holden and Risebro: Front tacking for hyperbolic conservation laws. (conservation laws)