Week

HW

Sect.

Topic

Homework

1

1

1.1 

Some Basic Math Models; Direction Fields

8,10,17,18,23

1

2

1.2

Solutions of Some Differential Equations

7,9,10,13,16

1

3

1.3

Classification of Differential Equations

1,2,5,8,12

2

4

2.1

 Integrating Factors

2c,5c, 14,17                 

2

5

2.2

Separable Equations

2,4,7,9a,15a

2

6

2.3

Modeling with First Order Equations

1,7,14(a,b), 17(a,b)

3

7

2.7

Euler's Method

1 (a,b,d)

3

8

3.1

Homogeneous Equations  with Constant Coefficients

3,6,8,10,13

3

9

3.1

Homogeneous Equations  with Constant Coefficients

17,20,22,24

4

REVIEW FOR EXAM 1

4

10

3.2

Solution of Linear Homogeneous  Equations, the,Wronskian

2,4,8,12,17

4

11

3.2

Solution of Linear Homogeneous  Equations, the,Wronskian (cont.)

18,24,25,26

5

12

3.3

Complex Roots of the Characteristic Equation

3,5, 7,13,19

5

13

3.4

Repeated Roots

1,6,8,11,14

5.

14

3.4

Reduction of Order

23,25,28

6

15

3.5

Nonhomog. Eqts., Undetermined Coefficients

3,4,7,14,17

6

16

3.5

Nonhomog. Eqts., Undet. Coefficients (cont’d)

19(a), 23(a), 26(a)

6

17

3.6

Variation of Parameters

1,5,9,11

7

18

3.6

Variation of Parameters (cont.)

13,15,19

7

19

3.7

Mechanical and Electrical Vibrations  

1,2,5,7,11,

7

20

3.7

Mechanical and Electrical Vibrations (cont.)

12,17,18,24                 

8

21

5.1

Review of Power Series

18, 20,21,23

8

22

5.2:

Solutions to 2nd Order Linear Equations with

 Variable Coefficients: Ordinary Points

 4(a,b), 6(a,b), 7(a,b)

8

23

5.4

Euler’s Equation; Regular Singular Points

1,3,4,12,17,20

9

24

REVIEW FOR EXAM 2

9

25

6.1

Definition of the Laplace Transform

3,6,8,13,15

9

26

6.2

Solution of Initial Value Problems

1,2,3,7,8

10

27

6.2

Solution of Initial Value Problems (cont.)

13,21,24,29,30

10

28

6.3

Step Functions

2,15,17,20,21

10

29

6.4

Differential Equations with Discontinuous Forcing Functions

2,3,5,7,9

11

30

6.5

Impulse Functions

1,2,5,6,9

11

31

6.6

The Convolution Integral

4,6,8,9,14

11

32

7.1 7.2

Introduction &

Review of Matrices

7.1: 2, 4, 5

7.2: 1,2,22,23

12

REVIEW FOR EXAM 3

12

33

7.3

Linear Algebraic Equations; LI,

Eigenvalues, Eigenvectors (2x2)

1,5,16,18

12

34

7.5

Homogeneous Linear Systems with

Constant Coefficients

1(a),4(a),7(a),15,16

13

35

7.6

Complex Eigenvalues

2(a),10, 28(a,d)

13

36

10.1

Two-Point Boundary Value Problems

1,5,10,14,18

14

37

10.2

Fourier Series

1,5,13,15

14

38

10.2

Fourier Series (cont.)

16, 22(a,b), 24(a,b)

14

39

10.4

Even and Odd Functions

2,4,7,9 15,16

15

40

10.4

Even and Odd Functions (cont.)

21,23(a,b),27(a,b)

15

REVIEW FOR FINAL EXAM