Goal: To understand the process of mathematical modelling of practical problems from various application fields (molecular dynamics, astrophysics, chemistry, biology, fluid and solid mechanics)
Lecturer:
Jason Frank
Centrum Wiskunde & Informatica (CWI)
Science Park 123, Room L116
tel: +31 20 5924096
e-mail:
www: http://www.cwi.nl/~jason
Book: Introduction to the Foundations of Applied Mathematics, by Mark. H. Holmes (Springer 2009). Book website.
Meets (2012):
Weeks 36 - 49, except week 43
(Sep. 3 - Dec. 7, 2012 except 22, 23 Oct.)
Lectures: Tuesdays 13:00-15:00, Science Park 904, G0.05 (t/m week 42), G2.02 (thereafter)
Practical sessions: Wednesday 9:00-11.00, Science Park 904, A1.04 (t/m week 42), G5.29 (thereafter)
Summary: The course is an introduction to applied analysis and modelling. A number of mathematical methods that are essential for this subject will be introduced (scale invariance, variational methods, asymptotics). Attention will be given to the principles of modelling in the form of differential equations, for a number of phenomena: such as classical mechanics, reaction equations, diffusion, fluid flows. The analysis of the contructed models will also be covered. With this knowledge, some more specific processes can be studied, such as population dynamics under climate change.
Methodology: lectures and problem sessions
Assessment: You will be evaluated on the basis of 3-4 projects, each requiring some analysis, possibly a bit of programming, and a short report.
PROGRAM
Week 36 (4 Sep)
Week 37 (11 Sep)
Week 38 (18 Sep)
Week 39 (25 Sep)
Week 40 (2 Oct)
Project 1 (file update 17 okt.), due: 29 Oct. 9.00
Week 41 (9 Oct)
Week 42 (16 Oct)
Week 43 (23 Oct)
Week 44 (30 Oct)
Week 45 (6 Nov)
Week 46 (13 Nov)
Week 47 (20 Nov)
Week 46 (27 Nov)
Week 47 (4 Dec)
Supplementary reading:
