General Information

Public NTNU Course Description

Content and idea

• Monday 08:15 – 10:00 in B1
• Thursday 10:15 – 12:00 in EL4

Starting on August 21, 2017

• Thursday 12:15 – 13:00 in EL2

Starting on August 31, 2017

• Espen R. Jakobsen

• Office hours: Mondays 14:15-15:00

• Ola Mæhlen

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

• Project (25%)
• Final exam (75%)
  • Time: December 16, 2017
  • Aids: C (Rottmann Matematisk Formelsamling and approved calculator)

The curriculum is defined by the lectures, the homework, and the problem sets.

• Curriculum 2017

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 can be downloaded in Blackboard (paper copies can be bought at the IMF 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.

• 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)