Published by Pearson (5 March 2019) © 2020
Algebra & Trigonometry, 5th Edition by Beecher, Penna and Bittinger helps you prepare, visualize and ultimately succeed in your algebra and trigonometry course. You'll learn to “see the math” through a focus on visualization and early introduction to functions, which allows for the use of graphs to provide a visual aspect to solving equations and inequalities. In addition, specific features help you visualize and make connections between concepts. The author team has expanded and enhanced the instruction on review topics needed for corequisite courses, or simply for students who come to the course needing additional preparation. Ongoing review features throughout reinforce the concepts and help build understanding.
The table of contents below shows the review topics (bulleted text) that are integrated into the MyLab™ 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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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
Customize your course to teach your way. MyLab® is a flexible platform merging world-class content with dynamic study tools. It takes a personalized approach designed to ignite each student's unique potential. And, with the freedom it affords to adapt your pedagogy, you can reinforce select concepts and guide students to real results.