Methods in Applied Math -- 2950

Principles of Applied Mathematics, James Keener.

• Missing pages from book
• Errata

Grading

• Homework 60%
• Exam(s) 40%

Schedule

• 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