MyLab Math with Pearson eText Access Code (24 Months) for Algebra and Trigonometry MyLab Revision with Corequisite Support

About our authors Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University - Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren and promoting charity projects for a children's camp. Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University - Purdue University Indianapolis (IUPUI) and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children. Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis (IUPUI) and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 granddaughters.

The table of contents below shows the review topics (bulleted text) that are integrated into the MyLabTM Math course. The Integrated Review includes worksheets, videos, and other materials designed to help students master these important topics.

Just-In-Time Review

1. Graphs, Functions, and Models

1.1 Introduction to Graphing

1.2 Functions and Graphs

1.3 Linear Functions, Slope, and Applications

1.4 Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Applications

1.6 Solving Linear Inequalities

Integrated Review Topics:



Graphing Linear Functions
Operations on the Real Numbers
Order of operations
Factoring trinomials: ax2 + bx + c
Factoring trinomial squares and differences of squares
The principle of zero products
Interval notation
Solving linear equations
Solving linear inequalities

2. More on Functions

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2 The Algebra of Functions

2.3 The Composition of Functions

2.4 Symmetry

2.5 Transformations

2.6 Variation and Applications

Integrated Review Topics:



Interval Notation
The Pythagorean Theorem
Simplifying Rational expressions
Addition and subtraction of polynomials
Simplifying complex rational expressions


3. Quadratic Functions and Equations; Inequalities

3.1 The Complex Numbers

3.2 Quadratic Equations, Functions, Zeros, and Models

3.3 Analyzing Graphs of Quadratic Functions

3.4 Solving Rational Equations and Radical Equations

3.5 Solving Equations and Inequalities with Absolute Value

Integrated Review Topics:



Multiplying radical expressions
Multiplying binomials
Simplifying radical expressions
Completing the square
Factoring trinomials: ax2 + bx + c
Factoring trinomial squares and differences of squares
The principal of zero products
Finding the LCM of algebraic expressions
The principle of powers


4. Polynomial Functions and Rational Functions

4.1 Polynomial Functions and Models

4.2 Graphing Polynomial Functions

4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem

4.4 Theorems about Zeros of Polynomial Functions

4.5 Rational Functions

4.6 Polynomial Inequalities and Rational Inequalities

Integrated Review Topics:



Introduction to polynomials
Factoring by grouping
Operations on the Real Numbers
Interval Notation

5. Exponential Functions and Logarithmic Functions

5.1 Inverse Functions

5.2 Exponential Functions and Graphs

5.3 Logarithmic Functions and Graphs

5.4 Properties of Logarithmic Functions

5.5 Solving Exponential Equations and Logarithmic Equations

5.6 Applications and Models: Growth and Decay; Compound Interest

Integrated Review Topics:



Integers as exponents
Finding logarithms without a calculator


6. The Trigonometric Functions

6.1 Trigonometric Functions of Acute Angles

6.2 Applications of Right Triangles

6.3 Trigonometric Functions of Any Angle

6.4 Radians, Arc Length, and Angular Speed

6.5 Circular Functions: Graphs and Properties

6.6 Graphs of Transformed Sine and Cosine Functions

Integrated Review Topics:



The Pythagorean Theorem
Rationalizing Denominators
Unit conversion using multiplying by 1
Determining the domain and range of a function


7. Trigonometric Identities, Inverse Functions, and Equations

7.1 Identities: Pythagorean and Sum and Difference

7.2 Identities: Cofunction, Double-Angle, and Half-Angle

7.3 Proving Trigonometric Identities

7.4 Inverses of the Trigonometric Functions

7.5 Solving Trigonometric Equations

Integrated Review Topics:



Simplifying rational expressions
Simplifying complex rational expressions
Adding, subtracting, multiplying and dividing fractions
Determining the domain and range of a function
Factoring trinomials: ax2 + bx + c
Factoring trinomial squares and differences of squares


8. Applications of Trigonometry

8.1 The Law of Sines

8.2 The Law of Cosines

8.3 Complex Numbers: Trigonometric Notation

8.4 Polar Coordinates and Graphs

8.5 Vectors and Applications

8.6 Vector Operations

Integrated Review Topic:



Solve proportions


9. Systems of Equations and Matrices

9.1 Systems of Equations in Two Variables

9.2 Systems of Equations in Three Variables

9.3 Matrices and Systems of Equations

9.4 Matrix Operations

9.5 Inverses of Matrices

9.6 Determinants and Cramer’s Rule

9.7 Systems of Inequalities and Linear Programming

9.8 Partial Fractions

Integrated Review Topics:



Graphing Linear Functions
Operations on the Real Numbers


10. Conic Sections

10.1 The Parabola

10.2 The Circle and the Ellipse

10.3 The Hyperbola

10.4 Nonlinear Systems of Equations and Inequalities

10.5 Rotation of Axes

10.6 Polar Equations of Conics

10.7 Parametric Equations

Integrated Review Topic:



Completing the square


11. Sequences, Series, and Combinatorics

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 Combinatorics: Permutations

11.6 Combinatorics: Combinations

11.7 The Binomial Theorem

11.8 Probability