General Information

Public NTNU Course Description

See Lecture Plan (to the left). Lecture plan also includes links to slides, notes, and recorded lectures. Note that these links link to the material from last year if the lecture has not yet been given this year.

The lectures start on Monday, August 22, 2022.

Lectures:

Monday 0815-1000, S1.
Friday 0815-1000, EL2

Exercises are optional, but highly recommended.

• Exercise class: 0815-1000, Wednesday in EL2. First week, no exercise class

• Dag Wessel-Berg

• Office hours: Mondays 1015-1100, room 1050, Sentralbygg 2 (10th floor)

• Louis Martini

• The final written exam counts 75% for the final grade, while the project (3 weeks) counts for the remaining 25%.
• You must pass the final ordinary exam to get a passing grade (better than F), regardless of project grade.

The curriculum is defined by the lectures, the homework, and the problem sets. A tentative curriculum is published here.

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

• All exercises will be available at the start of the course.
• Help is available at the exercise classes (assistant)
• Written solutions to the exercises are also available.

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.
• In addition, hand written notes from the lectures are published. Notes from the previous year can be found under Lecture Plan found in the left menu. There you may also find taped lectures from last year.

• 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)