Ch. | pages | Key concepts |
---|---|---|
Mostly theory: | ||
4.1 | 115-121 | The heat equation |
6 | 185-224 | Scaling, dimensional analysis, scale models (we did not cover 6.1 in great detail) |
7 | 225-243 | Regular perturbation |
9 | 277-301 | Singular perturbarion, inner and outer solutions, matching |
12.1 | 349-376 | Not all of it, just the notions of stress tensor and material derivative |
13.3 | 426-428 | Material derivative |
14.1-3 | 440-469 | Integral method, Dubois-Reymond lemma, Reynold's transport theorem, balance of linear and angular momentum, symmetry of the stress tensor |
Mostly examples: | ||
1.3 | 22-31 | Slime molds |
2.2 | 45-55 | Circular pendulum (regular perturbation) |
7.1 | 225-233 | |
8 | 244-276 | Physiological flow problem (regular perturbation with more than one parameter) |
10 | 302-320 | Biochemical kinetics (singular perturbation) |
11.1 | 321-324 | Circular pendulum: Stability of equilibria |
11.3 | 334-345 | Circular pendulum: Phase plane analysis |
Q: Do I need to learn all the details of the examples?
A:No. But the examples are there because they teach a lesson. Try to discover the lesson and learn it. The actual details of these specific examples is not important, though you may well get some questions of vaguely similar problems on the exam.
Q: What about the exam?
A:The exam is on 11 January. It is a written test, with no aids other than a calculator permitted. You need to have participated in the modeling seminar to take the test. The reports from these seminars will be graded, and count 20% towards your final grade. (I will make some more detailed feedback on these reports available later - watch the web site for details.)