Differential Equations : Math 2410,  Spring 2009

The exact outline will be updated as we go along.


Week Section Topic Exercises Due Date
1 1.1 Modeling p.14: 2,3, 4, 5, 7, 8, 10, 11a, 15
 1/21

1.2 Separation of variables
 p.33: 1, 2, 3, 7, 9, 11, 15, 23, 25, 27, 33, 35   
1/23, 1/26

1.3 Slope fields p.48: 1, 5, 8, 9, 11, 13, 14, 15, 16, 17, 18
 1/30
2 1.4 Euler's method
 p. 63:1, 5, 6, 10, 13
 2/2

1.5 Existence/Uniqueness p. 73: 1, 3, 5, 9, 11, 14, 17
 2/4

1.6 The phase line p. 91: 1, 3, 5, 7, 13, 15, 17, 19, 22, 23, 29,
          32, 33, 34, 35, 38, 44 
2/6
3
 1.7 Bifurcations p. 107: 1, 3, 5, 7, 9, 17 2/9, 2/11

1.8 Linear equations p. 123: 4, 5, 7, 15, 19, 20, 21
 2/13, 2/15
4
 1.8



1.9
 Integrating factor
 p.135: 1, 5, 7, 10, 19, 21
 2/18
5
 2.1 Modeling via systems p. 164: 1, 3, 7, 16, 20
 2/20

3.6
 Second order linear equations p. 336: 7, 9, 11, 23, 31 2/23, 2/25
6
 2.4
 Euler's method for systems
 p.209: 1, 3, 11
 2/27


Review
3/2
7
Exam 1 (Wed, 3/4)
3/4

2.2 Geometry of systems p.182: 1, 3, 4, 7, 8, 12, 13
 3/6


Spring Break
3/9 to 3/13
8
 3.1 Linear Systems p. 252: 5, 15, 24
 3/16

3.2 Straight Line Solutions p. 271: 3, 7, 8, 11, 21, 23
 3/18

3.3 Real eigenvalues
 p. 261:1,5,9,13 3/18

3.4 Complex Eigenvalues p. 304: 1, 2, 3, 5, 9, 11, 15, 17, 19
3/23, 3/25
9
 3.5 Zero eigenvalues (repeated
eigenvalues will be skipped)
 p.323: 18, 19
 3/27, 3/30

4.1 Forced harmonic oscillators p. 393: 1, 7, 9, 12, 19, 21, 33, 36, 37
 3/30
10
 4.2 Sinusoidal Forcing p. 406: 1, 7, 13, 19
 4/1, 4/3

4.3 Resonance p. 419: 1, 5, 9, 13
 4/3
11
 6.1 Laplace Transforms p. 571: 3, 6, 11, 13, 15, 17,25
 4/6, 4/8

6.2 Discontinuous Functions p. 517:1,5,7,9,17 4/10
12
 6.2



6.3 Second Order Equations p.593: 3, 5, 6, 11, 15, 19, 20, 21, 27, 29

6.4
 Delta function and impulse forcing
p.602: 3, 5
13
Review



Exam 2

14
 5.1
 Equilibrium point analysis



Review