Math 1414 - College Algebra Topic List & Notes

Prerequisite: A passing score of 250+ on the math portion of the THEA exam, 68+ on the EA ACCUPLACER, passing the College Algebra Placement Exam, or passing MATH 0090 with "C" or better.

Chapter 1

DESCRIPTION

Recommended Problems

1.3

Complex Numbers

1-34, Odd 35-95

1.4

Quadratic Equations

Odd 1-65, 73-78

1.5

Applications and modeling with Quad. Eqns

1-6, Odd 15 - 33

1.6

Other Types of Equations and Applications

Odd 1-49, Odd 69-85

1.7

Inequalities

Odd 1-43

1.8

Absolute Value Equations and Inequalities

1-34, Odd 35-91

 

TEST - 1

 

Chapter 2

DESCRIPTION

Recommended Problems

2.1

Rectangular Coordinates and Graphs

Odd 1-39

2.2

Circles

Odd 1-45

2.3

Functions

Odd 1-59

2.4

Linear Functions

1-10, Odd 11-57, 59-64

2.5

Equations of Lines

1-30, odd 33-49, 57,59,61

2.6

Graphs of Basic Functions

1-16, odd 17-53

2.7

Graphing Techniques

1-30, odd 31-59, 61-66

2.8

Function operations and composition

1-25, Odd 27-89

 

TEST - 2

 

Chapter 3

DESCRIPTION

Recommended Problems

3.1

Quadratic Functions and Models

1-20, Odd 21-55

3.2

Synthetic Division

1-10, Odd 11-45

3.3

Zero of Polynomial Functions

1-25, Odd 27-87

3.4

Polynomials Graphs, App.& Models

1-12, Odd 17-59, Odd 97 – 107

3.5

Rational Functions

1-16, Odd 17-33, Odd 37-67, 111, 113

 

TEST -3

 

Chapter 4

DESCRIPTION

Recommended Problems

4.1

Inverse Functions

Odd 1-25, 26-45, Odd 55-85

4.2

Exponential Functions

1-18, Odd 25-83

4.3

Logarithmic Functions

1-30, Odd 31-50, 51-56

4.4

Evaluating Logarithms

1-26, Odd 29-57

4.5

Exponential and Logarithmic Equations

Odd 1-55, Odd 59-65, Odd 71-83

4.6

Applications, Growth, and Decay

1-15, Odd 17-45

TEST - 4

Chapter 5

DESCRIPTION

Recommended Problems

5.1

Systems of Linear Equations

7-35, Odd 47-57, 69-71, 77-80

5.2 ( *)

Matrix Solution of Linear Equations

1-20, Odd 27-45, Odd 53-63

5.3

Determinant Solutions of Linear Equations

1-28, Odd 35-55, odd 75-85

5.7

Properties of Matrices

1-35, Odd 37-59, 75-78, Odd 81-85

5.8

Matrix inverses

1-53 odd

7.1

Sequences and Series

1-12, Odd 23-69, 87, 89

7.2

Arithmetic Sequences and Series

Odd 1-61, Odd 69-75

7.3

Geometric Sequences and Series

Odd 1-33, 58-60, Odd 61-69

                                                      TEST -5

Departmental Comprehensive Final Exam