Haberman, R.
Mathematical Models. SIAM. Covers (extensively) many of the topics in the course. Problems from this book will be assigned frequently.
Wan, F. Y. M. Mathematical Models and their Analysis. Harper and Row. Covers some of the topics. Problems from this book will be assigned occasionally.
Lin, C. C. and Segal, L. Mathematics Applied to Deterministic Problems in the Natural Sciences. SIAM. An extremly good book to have.
Strogatz, S. Nonlinear Dynamics and Chaos.
This book covers the material in Part II of the course (and a whole lot more).
Class notes for some of the topics are available.
The following books are also recommended.
Fowler, A. C. Mathematical Models in the Applied sciences.
Stoker, J. J. Nonlinear vibrations. J. Wiley.
Whitham, G. B. Linear and Nonlinear Waves. J. Wiley.
About one problem set per week (around 10 total). Each problem set will have two parts (to be handed in separately): "regular" and "special." The TA will grade the regular problems and the instructor the special ones.
Regular Problem Sets: 30% of the grade.
Special Problem Sets: 70% of the grade.
Please be sure to read the
Assignment Policies regarding homework.