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With the same design and feature sets as the market leading Precalculus, 7/e, this new concise text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Precalculus A Concise Course is designed to offer a cost-effective, one-semester alternative to the traditional two-semester precalculus text. It contains the features that have made the Larson/Hostetler series a complete solution for both students and instructors interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples with worked-out solutions and exercises. In addition
1. Functions and Their Graphs
Rectangular Coordinates
Graphs of Equations
Linear Equations in Two Variables
Functions
Analyzing Graphs of Functions
A Library of Functions
Transformations of Functions
Combinations of Functions Composite Functions
Inverse Functions
Mathematical Modeling and Variation
2. Polynomial and Rational Functions
Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial and Synthetic Division
Complex Numbers
Zeros of Polynomial Functions
Rational Functions
Nonlinear Inequalities
3. Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models
Cumulative Test Chapters 1-3
4. Trigonometry
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
5. Analytic Trigonometry
Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
Law of Sines
Law of Cosines
6. Topics in Analytic Geometry
Lines
Introduction to Conics Parabolas
Ellipses
Hyperbolas
Parametric Equations
Polar Coordinates
Graphs of Polar Coordinates
Polar Equations of Conics
Cumulative Test Chapters 4-6
Appendix A. A Review of Fundamental Concepts of Algebra (web)
Real Numbers and Their Properties
Exponents and Radicals
Polynomials and Factoring
Rational Expressions
Solving Equations
Solving Inequalities
Errors and the Algebra of Calculus
Appendix B. Concepts in Statistics (web)
Representing Data
Measures of Central Tendency and Dispersion
Least Squares Regression
Ron Larson and Robert Hostetler
ISBN13: 978-0618627196With the same design and feature sets as the market leading Precalculus, 7/e, this new concise text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Precalculus A Concise Course is designed to offer a cost-effective, one-semester alternative to the traditional two-semester precalculus text. It contains the features that have made the Larson/Hostetler series a complete solution for both students and instructors interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples with worked-out solutions and exercises. In addition
Table of Contents
1. Functions and Their Graphs
Rectangular Coordinates
Graphs of Equations
Linear Equations in Two Variables
Functions
Analyzing Graphs of Functions
A Library of Functions
Transformations of Functions
Combinations of Functions Composite Functions
Inverse Functions
Mathematical Modeling and Variation
2. Polynomial and Rational Functions
Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial and Synthetic Division
Complex Numbers
Zeros of Polynomial Functions
Rational Functions
Nonlinear Inequalities
3. Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models
Cumulative Test Chapters 1-3
4. Trigonometry
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
5. Analytic Trigonometry
Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
Law of Sines
Law of Cosines
6. Topics in Analytic Geometry
Lines
Introduction to Conics Parabolas
Ellipses
Hyperbolas
Parametric Equations
Polar Coordinates
Graphs of Polar Coordinates
Polar Equations of Conics
Cumulative Test Chapters 4-6
Appendix A. A Review of Fundamental Concepts of Algebra (web)
Real Numbers and Their Properties
Exponents and Radicals
Polynomials and Factoring
Rational Expressions
Solving Equations
Solving Inequalities
Errors and the Algebra of Calculus
Appendix B. Concepts in Statistics (web)
Representing Data
Measures of Central Tendency and Dispersion
Least Squares Regression