Place/time:
RS537, MWF 11:30-12:20 (first meeting: January 4, 2010).
Office
hours: S622 Ross, Wednesdays 10:30-11:20 (and by appointments).
Grading
scheme: total (100%) = homework (30%) + project (30%) + final exam (40%).
Mathematical Modelling - A
Case Studies Approach, by
R. Illner et al, AMS, 2005
1.
Weeks 1-2: Crystalization
dynamics; assignment
1;
2.
Weeks
2-3: Flow in an underwater tunnel; assignment
2;
3.
Weeks
3-4: Dimensional analysis; assignment
3;
4.
Weeks
4-5: Predator-prey systems; assignment
4;
5.
Weeks
5-6: Fishery management; assignment
5;
6.
Week
7: An annuity problems; assignment
6;
7.
Week
8: Traffic flow;
assignment
7;
8.
Weeks 9-10: Traffic flow 2; assignment
8;
9.
Weeks
11-12: Calculus of variations and optimal control;
10.
Final
exam date: check university website.
11.
Individual
project: description.
12.
Matlab codes: tunnel.m; tunnelEQ.m;
traffic.m.
13.
Exercise solutions:
1-6;
8
;
9a
;
9b
;
9
.