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Algebra and Trigonometry: Real Mathematics, Real People

By Ron Larson

7th Edition © 2016
Discipline:Mathematics
Course:Precalculus
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ALGEBRA AND TRIGONOMETRY: REAL MATHEMATICS, REAL PEOPLE, 7th Edition, is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Retaining the series' emphasis on student support, selected examples throughout the text include notations directing students to previous sections to review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writing and design—including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its subtitle, this significant revision focuses more than ever on showing students the relevance of mathematics in their lives and future careers.

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AboutTable of contentsResourcesPricing & formatsRelated products

About this product

ALGEBRA AND TRIGONOMETRY: REAL MATHEMATICS, REAL PEOPLE, 7th Edition, is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Retaining the series' emphasis on student support, selected examples throughout the text include notations directing students to previous sections to review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writing and design—including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its subtitle, this significant revision focuses more than ever on showing students the relevance of mathematics in their lives and future careers.

Side-By-Side Examples. Throughout the text, we present solutions to many examples from multiple perspectives-algebraically, graphically, and numerically. The side-by-side format of this pedagogical feature helps students to see a problem can be solved in more than one way and to see different methods yield the same result. The side-by-side format also addresses many different learning styles.

Why You Should Learn It Exercise. An engaging, real-life application of the concepts in the section, this application exercise is typically described in the section opener as a motivator for the section.

Library of Parent Functions. Several elementary and non-elementary functions have been compiled as a Library of Parent Functions to facilitate familiarity with the basic functions. Each function is introduced at the first point of use in the text with a definition and description of basic characteristics. The Library of Parent Functions examples are identified in the title of the example and there is a Review of Library of Parent Functions after Chapter 4. A summary of functions is presented on the inside cover of this text.

Make a Decision. The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which students work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
Preface
Student Resources
Acknowledgments
P. Prerequisites*Preview this chapter
1. Functions and Their Graphs
2. Solving Equations and Inequalities
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Trigonometric Functions
6. Analytic Trigonometry
7. Additional Topics in Trigonometry
8. Linear Systems and Matrices
9. Sequences, Series, and Probability
10. Topics in Analytic Geometry
Appendix A. Technology Support
Appendix B. Concepts in Statistics
Appendix C. Variation
Appendix D. Solving Linear Equations and Inequalities
Appendix E. Systems of Inequalities
Appendix F. Mathematical Induction
Show more

P. PrerequisitesPreview this chapter ↗

P.1. Real Numbers
Preview this section ↗
Real Numbers ↗
Ordering Real Numbers ↗
Absolute Value and Distance ↗
Algebraic Expressions and the Basic Rules of Algebra ↗
P.1. Exercises ↗
P.2. Exponents and Radicals
Preview this section ↗
Integer Exponents ↗
Scientific Notation ↗
Radicals and Their Properties ↗
Simplifying Radicals ↗
Rationalizing Denominators and Numerators ↗
Rational Exponents ↗
P.2. Exercises ↗
P.3. Polynomials and Factoring
Preview this section ↗
Polynomials ↗
Operations with Polynomials and Special Products ↗
Factoring ↗
Factoring Special Polynomial Forms ↗
Trinomials with Binomial Factors ↗
Factoring by Grouping ↗
P.3. Exercises ↗
P.4. Rational Expressions
Preview this section ↗
Domain of an Algebraic Expression ↗
Simplifying Rational Expressions ↗
Operations with Rational Expressions ↗
Complex Fractions ↗
Simplifying Expressions from Calculus ↗
P.4. Exercises ↗
P.5. The Cartesian Plane
Preview this section ↗
The Cartesian Plane ↗
The Distance Formula ↗
The Midpoint Formula ↗
The Equation of a Circle ↗
Application ↗
P.5. Exercises ↗
P.6. Representing Data Graphically
Preview this section ↗
Line Plots ↗
Histograms and Frequency Distributions ↗
Bar Graphs ↗
Line Graphs ↗
P.6. Exercises ↗
P. Chapter Summary ↗
P. Review Exercises ↗
P. Chapter Test ↗
Proofs in Mathematics ↗
Show more

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