## Topic

Suggested

Homework

1.1

1.2

Differential Equations & Mathematical Models

Integrals as General & Particular Solutions

2, 12, 22, 30, 36, 40

4, 6, 15, 18

1.4

1.5

Separable Equations & Applications

Linear First-Order Equations

1, 10, 24, 27, 33

1.5

1.6

Linear First-Order Equations (contd.)

Substitution Methods & Exact Equations

4, 12, 24, 28, 32

2, 10, 22, 40, 60

Extra

Extra Hw in chapter one and three hw.pdf

3.1

3.2

Introduction to Linear Systems

Matrices and Gaussian Elimination

2, 22, 24, 26

4, 8, 14, 28

3.3

3.4

Reduced Row-Echelon Matrices

Matrix Operations

3, 10, 24, 35

3, 10, 20, 24

3.5

3.6

Inverse of Matrices

Determinants

4, 12, 20, 28

2, 4, 12, 30, 40, 43

4.1

4.2

The Vector Space R3

The Vector Space Rn & Subspaces

1, 6, 13, 16, 24, 26, 30

3, 8, 16, 19

4.3

4.4

Linear Combination & Independence of Vectors

Bases & Dimension for Vector Spaces

1, 6, 12, 17, 26

3, 8, 13, 16, 22

5.1

5.2

Second-Order Linear Equations

General Solutions of Linear Equations

1, 11, 16, 19, 25, 28, 44

2, 8, 13, 24, 26

5.3

5.5

Homogeneous Equations with Constant Coefficients

Method of Undetermined Coefficients

1, 4, 14, 22, 28, 33, 38

4, 12, 26, 32, 36

5.5

6.1

Method of Variation of  Parameters

Introduction to Eigenvalues

47, 52, 57, 60

2, 15, 24, 28, 36

6.2

6.3

Diagonalization of Matrices

Applications involving Powers of Matrices

2, 14, 25, 28

2, 10, 20, 26, 36

7.1

7.2

First-Order Systems & Applications

Matrices & Linear Systems

2, 8, 13, 18, 21

2, 4, 12, 16, 20, 25

7.3

7.5

The Eigenvalue Method for Linear Systems

Multiple Eigenvalue Solutions

4, 9, 18, 24, 26

7.5

Multiple Eigenvalue Solutions (contd.)

Review

4, 10, 16, 28, 30