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ALGEBRA AND TRIGONOMETRY REAL MATHEMATICS, REAL PEOPLE (hb)2012
Author: RON LARSON
ISBN: 9781111428426
Year: 2012
Publisher: CENGAGE LEARNING (THOMSON BUSINESS INDIA)
Category: MATHEMATICS
Format: Hard Cover
Language: English
Pages: 1008
 ABOUT THE TITLE
ALGEBRA AND TRIGONOMETRY: REAL MATHEMATICS, REAL PEOPLE, 6th 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 new subtitle, this significant revision focuses more than ever on showing students the relevance of mathematics in their lives and future careers. Larson's Real Math Real People series is the graphing version of the Larson Precalculus series. It requires the use of a calculuator. The TOCs of the two series do not line up. Larson Algebra and Trigonometry: RMRP is very similar to Larson Precalculus: RMRP; the algebra and trig book can be used in a precalculus course and vice versa.


• Progressive Summaries after every three chapters outline newly introduced topics and contextualize them within the framework of the course.

• Make a Decision exercises--extended modeling applications presented at the end of selected exercise sets--give students the opportunity to apply the mathematical concepts and techniques they've learned to large sets of real data.

• The Library of Functions, threaded throughout the text, defines each elementary function and its characteristics at first point of use. Exercises test students' understanding of these functions. All elementary functions are also presented in a summary on the front endpapers of the text for convenient reference.
• Chapter Summaries include the key terms and key concepts that are covered in the chapter, serving as an effective study aid by providing a single point of reference for review.

• The Proofs of Selected Theorems are presented at the end of each chapter for easy reference.

• Technology Tips point out the pros and cons of technology use in certain mathematical situations, and provide alternative methods of solving or checking a problem using a graphing calculator.

• Students may sometimes be misled by the visuals generated by graphing calculators, so the authors use color to enhance the graphing calculator displays in the textbook, where appropriate. This enables students to visualize concepts accurately and efficiently.

• Many examples present side-by-side solutions with multiple approaches––algebraic, graphical, and numerical.

• Technology Support notes throughout the text refer students to the Technology Support Guide Appendix A, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. The Technology Support notes also direct students to the Graphing Technology Guide, accessible on the textbook's website, for keystroke support for numerous calculator models.

• Carefully positioned throughout the text, Explorations engage students in active discovery of mathematical concepts, strengthening critical thinking skills and helping them to develop an intuitive understanding of theoretical concepts.

• What You Should Learn and Why You Should Learn It appears at the beginning of each chapter and section, offering students a succinct list of the concepts they will soon encounter. Additionally, this feature refers students to an application in the exercise set which helps put the math concept into a real-life context so students can understand it better.

• To help prepare students who intend to move on to Calculus, the authors have placed an icon next to algebraic techniques that are used in Calculus.



Author: Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990.
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 TABLE OF CONTENTS
Each chapter concludes with a chapter summary, review exercises, a chapter test, and proofs in mathematics.
P. PREREQUISITES.
Real Numbers.
Exponents and Radicals.
Polynomials and Factoring.
Rational Expressions.
The Cartesian Plane.
Representing Data Graphically.
1. FUNCTIONS AND THEIR GRAPHS.
Introduction to Library of Functions.
Graphs of Equations.
Lines in the Plane.
Functions.
Graphs of Functions.
Shifting, Reflecting, and Stretching Graphs.
Combinations of Functions.
Inverse Functions.
2. SOLVING EQUATIONS AND INEQUALITIES.
Linear Equations and Problem Solving.
Solving Equations Graphically.
Complex Numbers.
Solving Quadratic Equations Algebraically.
Solving Other Types of Equations Algebraically.
Solving Inequalities Algebraically and Graphically.
Linear Models and Scatter Plots.
Cumulative Test: Chapters P–2.
Progressive Summary: Chapters P–2.
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions.
Polynomial Functions of Higher Degree.
Real Zeros of Polynomial Functions.
The Fundamental Theorem of Algebra.
Rational Functions and Asymptotes.
Graphs of Rational Functions.
Quadratic Models.
Cumulative Test: Chapters 1-3.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs.
Logarithmic Functions and Their Graphs.
Properties of Logarithms.
Solving Exponential and Logarithmic Equations.
Exponential and Logarithmic Models.
Nonlinear Models.
Cumulative Test: Chapters 3–4.
Progressive Summary: Chapters P–4.
5. TRIGONOMETRIC FUNCTIONS.
Angles and Their Measure. Right Triangle Trigonometry.
Trigonometric Functions of Any Angle.
Graphs of Sine and Cosine Functions.
Graphs of Other Trigonometric Functions.
Inverse Trigonometric Functions.
Applications and Models.
Library of Parent Functions Review.
6. ANALYTIC TRIGONOMETRY.
Using Fundamental Identities.
Verifying Trigonometric Identities.
Solving Trigonometric Equations.
Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas.
7. ADDITIONAL TOPICS IN TRIGONOMETRY.
Law of Sines.
Law of Cosines.
Vectors in the Plane.
Vectors and Dot Products.
Trigonometric Form of a Complex Number.
Cumulative Test: Chapters 5–7.
Progressive Summary: Chapters P–7.
8. LINEAR SYSTEMS AND MATRICES.
Solving Systems of Equations.
Systems of Linear Equations in Two Variables.
Multivariable Linear Systems.
Matrices and Systems of Equations.
Operations with Matrices.
The Inverse of a Square Matrix.
The Determinant of a Square Matrix.
Applications of Matrices and Determinants.
9. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series.
Arithmetic Sequences and Partial Sums.
Geometric Sequences and Series.
The Binomial Theorem.
Counting Principles. Probability.
10. TOPICS IN ANALYTIC GEOMETRY.
Circles and Parabolas.
Ellipses.
Hyperbolas.
Parametric Equations.
Polar Coordinates.
Graphs of Polar Equations.
Polar Equations of Conics.
Cumulative Test: Chapters 8–10.
Progressive Summary: Ch P–10.
APPENDIX A: TECHNOLOGY SUPPORT GUIDE.
APPENDIX B: CONCEPTS IN STATISTICS (Web only).
Measures of Central Tendency and Dispersion. Least Squares Regression.
APPENDIX C: VARIATION (Web only)
APPENDIX D: SOLVING LINEAR EQUATIONS AND INEQUALITIES (Web only).
APPENDIX E: SYSTEMS OF INEQUALITIES (Web only).
Solving Systems of Inequalities. Linear Programming.
APPENDIX F: MATHEMATICAL INDUCTION (Web only).
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