Sec.

Topics

Homework

(CAS)

Solution

 

1.1

1.2

Definition and Terminology

Initial-Value Problems

4, 7, 8, 9, 10, 13, 16, 20, 27, 28, 30

2, 12, 20, 22, 27

(55)

--

1.2

 

2.2

2.3

Separable Variables

Linear Equations

8, 14, 20, 22, 23, 27, 45

5, 13, 16, 18, 30, 37

(ex 4)

(5,9)

2.2

2.3

 

2.4

2.5

Exact Equations

Solutions by Substitutions

2, 5, 8, 15, 25, 27, 29, 31, 42(a), 43, 44

4, 6, 10, 13, 18, 21, 26, 30

----

 

2.5

 

2.1

1.3

 

 

3.1

Solution Curves (light coverage)

Mathematical Models (reading): Growth and Decay, Newtons Law of Cooling and Mixtures

Linear Models

1,21,24

See Sec. # 3.1

 

 

3, 6, 13, 14, 15, 19, 20, 21, 23

(5,7)

 

 

 

--

2.1

 

 

 

3.1

 

4.1

4.1.1

4.1.2

Linear Equations: Basic Theory

Initial-Value and Boundary-Value

Homogeneous Equations

 

3, 10, 12, 13

15, 21, 23, 28

 

--

--

 

 

4.1.3

4.2

Nonhomogeneous Equations

Reduction of Order

33, 36, 37(b,e)

1, 3, 12, 14, 19

--

--

 

4.2

 

4.3

 

4.5

 

Homogeneous Linear Equations with Constant Coefficients

Undetermined Coefficients Annihilator Approach

4, 9, 12, 15, 20, 34, 40, 49, 50, 51

 

8, 13, 22, 24, 34, 41, 48, 64, 67, 73

(57)

 

--

 

 4.3

 

4.5

 

4.6

4.7

Variation of Parameters

Cauchy-Euler Equation (Both Methods)

6, 11, 13, 24, 25, 28

3, 5, 10, 11, 14, 16, 19, 31, 34, 37, 39

--

(44)

 4.6

 

6.1

6.1.1

6.1.2

Solutions About Ordinary Points

Review of Power Series

Power Series Solutions

 

1, 10, 11

15, 17, 20, 22, 32

 

--

--

 6.1

6.2

Solutions about Singular PointsÓ

3, 10, 13, 14, 19, 20, 27

(ex 5)

 6.2

App II

 

Matrices and Linear Systems (review)

The Eigenvalue Problem

14, 15, 19, 23, 27, 29, 31, 33, 39, 43

47, 49, 52, 53, 55

--

--

 AppII

8.1

8.2

Preliminary Theory

Homogeneous Linear Systems

4, 5, 8, 14, 15, 17, 23, 25

--

8.1

8.2

8.2.1

8.2.2

8.2.3

Distinct Real Eigenvalues

Repeated Eigenvalues

Complex Eigenvalues

3, 7, 10, 13

19, 21, 23, 25, 27

33, 34, 36, 39, 41, 45

(ex 2)

--

--

 8.2.1

8.3

8.3.2

8.4

Nonhomogeneous Linear Systems

Variation of Parameters

Matrix Exponential

 

11, 12, 23, 32

1, 5, 9, 2, 6, 4, 8

 

(35 (a,b))

(27(a))

8.3