Algebra and Trigonometry: Real Mathematics, Real People / Edition 7

by Ron Larson

Overview

Ideal for courses that require the use of a graphing calculator, ALGEBRA AND TRIGONOMETRY: REAL MATHEMATICS, REAL PEOPLE, 6th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. Retaining the book's emphasis on student support, selected examples include notations directing students to previous sections where they can 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 readers the relevance of mathematics in their lives and future careers.

Product Details

ISBN-13:	9781305071735
Publisher:	Cengage Learning
Publication date:	01/01/2015
Edition description:	New Edition
Pages:	1008
Product dimensions:	8.50(w) x 10.80(h) x 1.50(d)

About the Author

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS — a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.

Table of Contents

CHAPTER P PREREQUISITES. P.1. Real Numbers. P.2. Exponents and Radicals. P.3. Polynomials and Factoring. P.4. Rational Expressions. P.5. The Cartesian Plane. P.6. Representing Data Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 1. FUNCTIONS AND THEIR GRAPHS. Introduction to Library of Functions.1.1 Graphs of Equations. 1.2 Lines in the Plane. 1.3 Functions. 1.4 Graphs of Functions.1.5 Shifting, Reflecting, and Stretching Graphs. 1.6 Combinations of Functions. 1.7 Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 2. SOLVING EQUATIONS AND INEQUALITIES. 2.1 Linear Equations and Problem Solving. 2.2 Solving Equations Graphically. 2.3 Complex Numbers. 2.4 Solving Quadratic Equations Algebraically. 2.5 Solving Other Types of Equations Algebraically. 2.6 Solving Inequalities Algebraically and Graphically. 2.7 Linear Models and Scatter Plots. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters P-2. Proofs in Mathematics. Progressive Summary (Ch P-2). 3. POLYNOMIAL AND RATIONAL FUNCTIONS. 3.1 Quadratic Functions. 3.2 Polynomial Functions of Higher Degree. 3.3 Real Zeros of Polynomial Functions. 3.4 The Fundamental Theorem of Algebra. 3.5 Rational Functions and Asymptotes. 3.6 Graphs of Rational Functions. 3.7 Quadratic Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. 4.1 Exponential Functions and Their Graphs . 4.2 Logarithmic Functions and Their Graphs. 4.3 Properties of Logarithms. 4.4 Solving Exponential and Logarithmic Equations. 4.5 Exponential and Logarithmic Models. 4.6 Nonlinear Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 3-4. Proofs in Mathematics. Progressive Summary (Ch P-4). 5. TRIGONOMETRIC FUNCTIONS. 5.1 Angles and Their Measure. 5.2 Right Triangle Trigonometry. 5.3 Trigonometric Functions of Any Angle. 5.4 Graphs of Sine and Cosine Functions. 5.5 Graphs of Other Trigonometric Functions. 5.6 Inverse Trigonometric Functions. 5.7 Applications and Models. Chapter Summary. Review Exercises. Chapter Test. Library of Parent Functions Review. Proofs in Mathematics. 6. ANALYTIC TRIGONOMETRY. 6.1 Using Fundamental Identities. 6.2 Verifying Trigonometric Identities. 6.3 Solving Trigonometric Equations. 6.4 Sum and Difference Formulas. 6.5 Multiple-Angle and Product-to-Sum Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 7. ADDITIONAL TOPICS IN TRIGONOMETRY. 7.1 Law of Sines. 7.2 Law of Cosines. 7.3 Vectors in the Plane. 7.4 Vectors and Dot Products. 7.5 Trigonometric Form of a Complex Number. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 5-7. Proofs in Mathematics. Progressive Summary (Ch P-7). 8. LINEAR SYSTEMS AND MATRICES. 8.1 Solving Systems of Equations. 8.2 Systems of Linear Equations in Two Variables. 8.3 Multivariable Linear Systems. 8.4 Matrices and Systems of Equations. 8.5 Operations with Matrices. 8.6 The Inverse of a Square Matrix. 8.7 The Determinant of a Square Matrix. 8.8 Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 9. SEQUENCES, SERIES, AND PROBABILITY. 9.1 Sequences and Series. 9.2 Arithmetic Sequences and Partial Sums. 9.3 Geometric Sequences and Series. 9.4 The Binomial Theorem. 9.5 Counting Principles. 9.6 Probability. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 10. TOPICS IN ANALYTIC GEOMETRY. 10.1 Circles and Parabolas. 10.2 Ellipses. 10.3 Hyperbolas. 10.4 Parametric Equations. 10.5 Polar Coordinates. 10.6 Graphs of Polar Equations. 10.7 Polar Equations of Conics. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 8-10. Proofs in Mathematics. Progressive Summary (Ch P-10). Appendix A: Technology Support Guide. Appendix B: Concepts in Statistics (WEB only). B.1 Measures of Central Tendency and Dispersion. B.2 Least Squares Regression. Appendix C: Variation (WEB only). Appendix D: Solving Linear Equations and Inequalities (WEB only). Appendix E: Systems of Inequalities (WEB only). E.1 Solving Systems of Inequalities. E.2 Linear Programming. Appendix F Mathematical Induction (WEB only).