Date

Suggested homework

04/20

Section 7.2 # 3, 5, 7, 9, 11, 13, 15, 17, 19

04/13

Section 12.5 # 5, 13, 15, 17 (try (y^2)/2 + G(x) as a Lyapunov function, where y = dx/dt and G(x) is the antiderivative of g(x) such that G(0) = 0)

04/08

Section 12.5 # 1, 3, 4, 7, 8

04/06

Section 12.3 # 7, 9, 11, 13, 15, 17

04/03

Section 12.3 # 1, 3, 5, 7 (establish stability but disregard the types of critical points)

04/01

Section 11.8 # 5, 7, 9, 11, 15

03/30

Section 9.8 # 13, 15, 21, 23

03/27

Section 9.8 # 11, 17, 19 (use either the approach discussed in class or generalized eigenvectors as discussed in the text)

03/25

Section 9.8 # 7, 8, 9, 10

03/23

Section 9.7 # 11, 13, 15, 17, 22, 33

03/20

Section 9.7 # 1, 3, 4, 5, 7, 9, 21

03/18

Section 9.7 # 1, 3, 4, 5, 7, 9, 21

03/16

Section 9.6 # 1, 3, 5, 7, 9, 11, 13, 15

03/13

Section 9.5 # 11, 13, 15, 19, 21, 23, 31, 33, 35, 42

02/25

1. Please study section 9.4
2. Section 9.5 # 1, 3, 4, 5, 6, 7, 8, 9, 10

02/23

Section 9.3 # 23, 25, 27, 29

02/20

Section 9.2 # 1, 3, 5, 7, 9, 11, 13

02/18

Section 4.10 # 1, 6, 7, 8; Section 9.1 # 1, 3, 5

02/13

Section 4.5 # 1, 9–16, 17, 19, 21, 23, 25, 27, 29, 31–36;
Section 4.6 # 1, 5, 7, 9, 11, 13, 15, 17

02/11

Section 4.4 # 17, 19, 21, 23, 25, 27, 29, 31, 32

02/09

Section 4.4 # 1–8, 9, 11, 13, 15, 28, 30

01/30

Section 3.2 # 3, 7, 21, 23. Visualize the solutions on these problems (you can use the Java code for direction fields for that)

01/26

Section 2.6 # 9, 11, 13, 15, 21, 23, 25, 27, 41, 42

01/23

Section 2.5 # 1, 3, 5, 7, 9, 11

01/21

Section 2.4 # 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29

01/16

Section 2.3 # 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 29

01/14

Section 1.4 # 1, 3, 9, 11, 15 (For Mathematica, click here);
Section 2.2 # 3, 5, 7, 9, 11, 17, 19, 21, 23, 26, 31

01/12

Section 1.3 # 1, 3, 5, 10, 11, 13, 15, 17
For the Java code that generates direction fields, visit http://math.rice.edu/~dfield/dfpp.html and select DFIELD2005.10

01/09

Section 1.2 # 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27

01/07

Section 1.1 # 1, 3, 5, 7, 9, 11, 13, 15