Precalculus: Real Mathematics, Real People - Ron Larson [6th Edition]

Arinio's Precalculus Series Release 2

Precalculus, 6/E - Ron Larson

English | 901 Pages | High Quality PDF



Contents:

Ideal for courses that require the use of a graphing calculator, PRECALCULUS: 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 new subtitle, this significant revision focuses more than ever on showing readers the relevance of mathematics in their lives and future careers.

Table of Contents

Each chapter concludes with a summary, review exercises, a chapter test, and proofs in mathematics.
1. FUNCTIONS AND THEIR GRAPHS.
Introduction to Library of Functions. Lines in the Plane. Functions. Graphs of Functions. Shifting, Reflecting, and Stretching Graphs. Combinations of Functions. Inverse Functions. Linear Models and Scatter Plots.
2. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions. Polynomial Functions of Higher Degree. Real Zeros of Polynomial Functions. Complex Numbers. The Fundamental Theorem of Algebra. Rational Functions and Asymptotes. Graphs of Rational Functions. Quadratic Models. Progressive Summary (Chapters 1 and 2).
3. 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 1–3. Progressive Summary (Chapters 1–3).
4. TRIGONOMETRIC FUNCTIONS.
Radian and Degree Measure. Trigonometric Functions: The Unit Circle. 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.
5. ANALYTIC TRIGONOMETRY.
Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas.
6. 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 4–6. Progressive Summary (Chapters 1–6).
7. 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.
8. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. The Binomial Theorem. Counting Principles. Probability.
9. TOPICS IN ANALYTIC GEOMETRY.
Circles and Parabolas. Ellipses. Hyperbolas and Rotation of Conics. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics.
Cumulative Test: Chapters 7–9. Progressive Summary (Chapters 3–9).
10. ANALYTIC GEOMETRY IN THREE DIMENSIONS.
The Three-Dimensional Coordinate System. Vectors in Space. The Cross Product of Two Vectors. Lines and Planes in Space.
APPENDIX A: TECHNOLOGY SUPPORT GUIDE.
APPENDIX B: REVIEW OF GRAPHS, EQUATIONS, AND INEQUALITIES (WEB ONLY).
The Cartesian Plane. Graphs of Equations. Solving Equations Algebraically and Graphically. Solving Inequalities Algebraically and Graphically. Representing Data Graphically.
APPENDIX C: CONCEPTS IN STATISTICS (WEB ONLY).
Measures of Central Tendency and Dispersion. Least Squares Regression.
APPENDIX D: VARIATION (WEB ONLY).
APPENDIX E: SOLVING LINEAR EQUATIONS AND INEQUALITIES (WEB ONLY).
APPENDIX F: SYSTEMS OF INEQUALITIES (WEB ONLY).
Solving Systems of Inequalities. Linear Programming.

Ron Larson

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. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, and 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). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.