HW#

Sect.

Topic

Homework

1

1.1 

Some Basic Math Models; Direction Fields

8,10,15,18

2

1.3

2.2

Classification of Differential Equations

Separable Equations

4,6,9,11

3,8,10a,13a

3

2.1

 Linear Equations; Integrating Factors.

3c,6c,15,17                                    

4

2.3

Modeling with First Order Equations

2,4,13

5

2.3

2.7

Modeling with First Order Equat. (cont.)

Euler's Method

MATLAB PROJECT 1 

DUE  Week 7

6

3.1

Homogeneous Equations  with Constant Coefficients

4,9,18,21,23

7

3.2

Solution of Linear Homogeneous  Equations, the Wronskian

4,9,13

8

3.2

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

17,24,26

9

3.3

Complex Roots of the Characteristic Equation

3,5, 7,13,19 

10

3.4

Repeated Roots

4,8,11

11

3.4

Reduction of Order

23,25,28

12

3.5

Nonhomog. Eqts., Undetermined Coefficients

3,4,7,14,17

13

3.5

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

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

14

3.6

Variation of Parameters

9,10,11,13,19

15

3.7

Mechanical and Electrical Vibrations  

1,2,5,7,11,

16

3.7

Mechanical and Electrical Vibrations (cont.)

12,17,18,24                 

17

5.1

Review of Power Series

18, 20,21,23

18

5.2:

Solutions to 2nd Order Linear Equations with Variable Coefficients: Ordinary Points

 4(a,b), 6(a,b), 7(a,b)

19

5.4

Euler’s Equation; Regular Singular Points

1,3,4,12,17,20

20

6.1

Definition of the Laplace Transform

3,6,8,13,15

21

6.2

Solution of Initial Value Problems

1,2,3,7,8

22

6.2

Solution of Initial Value Problems (cont.)

13,21,24,29,30

23

6.3

Step Functions

2,15,17,20,21

24

6.4

Differential Equations with Discontinuous Forcing Functions

2,3,5,7,9

25

6.5

Impulse Functions

1,2,5,6,9

26

6.6

The Convolution Integral

4,6,8,9,14

27

7.1 7.2

Introduction &

Review of Matrices

7.1: 2, 4, 5

7.2: 1,2,22,23

REVIEW FOR EXAM 3

28

7.3

Linear Algebraic Equations;

Eigenvalues, Eigenvectors

1,5,16,18

29

7.5

Homogeneous Linear Systems with

Constant Coefficients

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

31

7.6

Complex Eigenvalues

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

32

10.1

Two-Point Boundary Value Problems

1,5,10,14,18

33

10.2

Fourier Series

1,5,13,15

34

10.2

Fourier Series (cont.)

16, 20(a,b), 22(a,b)

35

10.4

Even and Odd Functions

2,4,7,9 15,16

36

10.4

Even and Odd Functions (cont.)

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

REVIEW FOR FINAL EXAM