Principles of Applied Mathematics, James Keener.

- Homework 60%
- Exam(s) 40%

- January 6: Chapt 1.1,1.2
Homework (all with respect to the new book), due Jan 20: 1.1:1,2,3,6,9c; 1.2:3,4;1.4:4

- Jan 11,13:1.3,1.4,little bit 1.5; miscellaneous linear algebra
**HW**1.3:2a,1.4:2,3,4 This handout All Due Jan 25 - : 2.1,some of 2.2.
HW:2.1:1,3,8,11; 2.2:2a,b,3,4,8b,9,14; Due Feb 16

Consider the equation:

- 3.1-3.4 ; A bit of homework Due Feb 23
- 4.1-4.3
- Homework due the Monday (3/15) after break
- HW DUE Wed Mar 24: 5.1:1,2,9,10,12; 5.2:7
- HW DUE Wed Mar 31: 11.1 7; 11.2 2; 11.3 2,6,7a; 11.4 3a,5;11.4 1,3 (do not do the nonlinear calculation; just find the Hopf bifurcation points. Consider
u'' + epsilon u' [ A + B u^2 + C u^4] + u =0

For what values of A,B,C do there exist two limit cycles for epsilon small? If A is positive, show that the equilibrium point u=0 is stable.

- Notes on the Hopf bifurcation