Class / Homework Schedule for MATH 228

!!! Be sure to read math 228  for explanation of course requirements, grading policies, etc.  The section, page, and exercise numbers refer to the text, Differential Equations, by Blanchard, Devaney and Hall, 4th edition.
Unless otherwise noted, homework assignments are to be completed as printouts of Mathematica notebooks and are due in class on the Tuesday after the date listed for the assignment. 
Wk Date Ch. Topic     Homework / Solutions 
1  T,  Jan 17 1.1; 1.2  Modeling; Separation of variables                                hw1  1.1: #3, 4, 17, 18.  hw1s,          hwtemp
 Th,  Jan 19 1.3; 1.4  Slope fields; Numerical Technique  hw2  1.2: #8, 12, 21, 41.  hw2s
2  T,  Jan 24 1.5   Existence/uniqueness  hw3  1.3: #5, 8, 15.   hw3s                 vecs
 hw4  1.5:  #2, 5-8, 13, 15.   hw4s 
 Th,  Jan 26 1.6  Equilibria and the phase line  hw5  1.6:  # 2, 4, 8, 44. hw5s
3  T,  Jan 31 1.8; 1.9  Linear differential equations; Integrating factors  hw6  1.9:  #2, 4, 16, 24. hw6s
 Th, Feb 2 1.7  Bifurcations  hw7  1.7:  #2, 20. hw7s   bifs
4  T,  Feb 7 2.1; 2.2  Modeling via systems;
 The geometry of systems
 hw8  2.1: # 9, 10, 16, 20. hw8s
 hw9  2.2: #8, 14, 16.  hw9s
 Th,  Feb 9  2.3; 2.4   The damped oscillator;
  Analytic methods for systems
 hw10  2.3:  #2; 2.4 # 13.  hw10s
5  T,  Feb 14  3.1; 3.2   Properties of linear systems;
  Straight line solutions
 hw11  3.1: # 7, 24, 26. hwlls
 hw12  3.2: #2, 4, 17.   hw12s
 Th,  Feb 16  3.3; 3.4  Phase planes; Complex eigenvalues
 hw13  3.3: # 20; 3.4: #4, 10.  hw13s
6  T,  Feb 21  3.5; 3.6   Repeated and zero eigenvalues;
  Second order linear equations
 hw14  3.5:  #2, 6, 18.   hw14s
 hw15  3.6: #2,4,6,8,10.   hw15s
 Th,  Feb 23  3.7   The trace-determinant plane
 hw16  3.7: #2, 4, 6.  hw16s
7  T,  Feb 28 Review   
 Th March 1 Midterm Exam 1    
8  T,  March 6  4.1; 4.2   Forced harmonic oscillators;
 Sinusoidal forcing
 hw17  4.1:  #2, 4, 8 (plot 3solns. for each). hw17s
 hw18  4.2:  #2, 7, 14. hw18s
 Th, Mar 8   4.3  Undamped forcing and resonance  hw19  4.3:  #12, 18, 21.  hw19s
9  T,  Mar 13
 SPRING BREAK   
 Th,  Mar 15 14.3  SPRING BREAK  
10  T,  Mar 20  6.1
 Laplace transforms   hw20  6.1:  #2, 12, 14, 16, 24.   hw20s
Th,  Mar 22  6.2  Discontinuous functions  hw21  6.2:  #3, 4, 10, 11.  hw21s
11  T,  Mar 27  6.3  Second order equations;
 hw22  6.3:  #16, 28, 30. hw22s
 Th,  Mar 29  6.4
 Delta functions and impulse forcing  hw23  6.4: #2, 4, 8.  hw23s
12 T,  April 3  6.5  Convolutions; The qualitative theory  hw24  6.5:  #3, 7; 6.6: #2. hw24s
Th,  April 5 Review   
13 T,  April 10 Midterm Exam 2    
Th, April 12  5.1  Equilibrium point analysis  hw25  5.1:  #3, 6, 8.  hw25s
14  T,  April 17  5.2
 Qualitative analysis  
 Th,  April 19  5.3  Hamiltonian systems  
15  T,  April 24    1. Bending, Bergeron, Botsford  
 Th,  April 26    2. Herbst, Immerman, Myones 3. Bauman, Emelko, Nowak, Shook
16  Fri,  May 4
 4 - 7pm

 4. Buchanan, Wu, Zhang

5. Flannery, Harper, Lee

6. Borsi, Einhaus, Liebendorfer, Pavlakis

7. Jackman, Xie, Zhou