Week

Section

Topic

Homework

W 1

(5/23 – 5/26)

1.1:

Some Basic Math Models; Direction Fields

7,10,15,16,23

1.2

Solutions of Some Differential Equations

7,9,10,13,16

1.3

Classification of Differential Equations

1,2,5,8,12,14,17,20

2.1

Integrating Factors

3c, 7c, 13,16,18

2.2

Separable Equations

2,4,7,9a,15a

Week 2

(6/2 – 6/3)

2.7

Euler's Method

Matlab

3.1

Homogeneous Equ. with Constant Coefficients

1,3,6,8,10,12,17,18,20,21,22

3.3

Complex Roots of the Characteristic Equation

3,4,7,9,13,17,19

Week 3

(6/6 – 6/9)

3.4

Repeated Roots; Reduction of Order

1,5,7,10,12

,23,25,28

3.5

Nonhomogeneous Equations;

Method of Undetermined Coefficients

3,6,12,15,17

, 19,22,23,26

Week 4

(6/13 – 6/16)

3.6

Variation of Parameters

1,2,5,7,10,13,15,19

Review for Exam 1

Exam 1 on June 15

3.7

Mechanical And Electrical Vibrations ;

1,2,5,7,11,

Week 5

(6/20 – 6/23)

3.7

Mechanical Vibrations, Forced Vibrations

12,17,18,24

MATLAB

5.1

Review of Power Series

1,2,3,7,10,11,14,21,22

5.2:

Solutions to 2nd Order Linear Equations with

 Variable Coefficients: Ordinary Points

2,5,7 (parts a and b only)

 9,10,11 (parts a and b only)

Week 6

(6/27 – 6/30)

5.4

Euler’s Equation

; Equal Roots

1,2,6,12

3,5,9,17,18,20

5.5

Solutions to 2nd Order Linear Equations with

 Variable Coefficients: Singular Points

1,2,4

, 5,7,8

Week 7

(7/6 – 7/7)

6.1

Definition of the Laplace Transform

1,3,5,6,8,10,12,13,15,17

Review for exam 2

Exam 2 on July 6

6.2

Solution of Initial Value Problems

1,2,3,7,8,11

, 13,21,28,29,30

Week 8

(7/11 – 7/14)

6.3

Step Functions

6,9,13,15,20,21

6.4

Differential Equations with Discontinuous Forcing

 Functions

2,3,5,7,9

6.5

Impulse Functions

1,2,5,6,9

Week 9

(7/18 – 7/21)

6.6

The Convolution Integral

4,6,8,9,14,17

7.1, 7.2

Introduction &

Review of Matrices

7.1: 2, 4, 5

7.2: 1,2,22,23

7.3

Linear Algebraic Equations; LI,

Eigenvalues, Eigenvectors (2x2)

16,18

Week 10

(7/25 – 7/28)

7.5

Homogeneous Linear Systems with

Constant Coefficients

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

7.6

Complex Eigenvalues

2(a),3(a),9,10,28(a,d)

10.1

Two-Point Boundary Value Problems

1,5,10,14,18

Week 11

(8/1 – 8/4)

10.2

Fourier Series

1,5,13,15

10.4

Even and Odd Functions

2,4,7,9 15,16

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

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