Pensum (Curriculum)

Final pensum for the course:

• Dimensional analysis and scaling:
  • Weeks 34, 35.
  • HK1, chapters 1, 2.
  • LS, chapter 6.
• Regular and singular perturbations:
  • Weeks 36, 37.
  • HK1, chapter 3.
  • LS, chapters 7, 9.
• Stability of ODEs and bifurcations:
  • Weeks 38, 39.
  • LO, chapter 6.
• Population dynamics:
  • Week 39.
  • HK3.
• Conservation principles:
  • Weeks 40, 42, 43.
  • HK2, chapters 2, 4, 5.1, 5.2.
• Hyperbolic equations, method of characteristics, shocks, and rarefaction waves:
  • Weeks 40, 41.
  • HK2, chapter 2, parts of chapter 3.
• Enzyme kinetics/chemical modelling, traffic modelling as examples:
  • Weeks 38, 41.
  • LS, chapter 8.
  • AF, chapter 9.1-9.3.
  • HK2, chapter 3.

All the exercises are part of the curriculum.

Abreviations for literature:

• HK1 … Dimensional Analysis, Scaling, and Regular Perturbation
• HK2 … Models based on conservation principles (Kompendium, pages 167–253).
• HK3 … Population Models (Kompendium, pages 142–166).
• LS … C.C. Lin og L.A. Segel: Mathematics Applied to Deterministic Problems in the Natural Sciences, SIAM Classics in Applied Mathematics.
• AF … A.C. Fowler: Mathematical Models in the Applied Sciences, Cambridge University Press, 1997, Cambridge.
  • Chapter 9 is available for download on Blackboard.
• LO … J.D. Logan: Applied Mathematics, 3rd ed., Wiley 2006.
  • Chapter 6 is also included in the Kompendium by H. Krogstad, at pages 61–97.

The Kompendium by H. Krogstad is available for download on blackboard.