ISBN13: 978-1133594765

ISBN10: 113359476X

Cover type:

Edition/Copyright: 6TH 14

Publisher: Brooks/Cole Publishing Co.

Published: 2014

International: No

ISBN10: 113359476X

Cover type:

Edition/Copyright: 6TH 14

Publisher: Brooks/Cole Publishing Co.

Published: 2014

International: No

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The market leading textbook in precalculus is now available in a cost-saving paperback format. PRECALCULUS, ENHANCED WEBASSIGN EDITION contains the same sound mathematics found in the authors' original text, PRECALCULUS: MATHEMATICS FOR CALCULUS, Sixth Edition plus full support of Cengage Learning's powerful online homework program, Enhanced WebAssign. Each new Enhanced WebAssign Edition features the Start Smart Guide for Students, a simple step-by-step how-to booklet for getting started with online homework. The result is a customized resource that will better prepare your students for future courses in mathematics and sciences. In PRECALCULUS: MATHEMATICS FOR CALCULUS, Sixth Edition best-selling authors, James Stewart, Lothar Redlin and Saleem Watson refine their focus on problem solving and mathematical modeling to provide students with a solid foundation in the principles of mathematical thinking. The authors explain explains critical concepts simply and clearly, without glossing over difficult points to provide complete coverage of the function concept, and integrate a significant amount of graphing calculator material to help students develop insight into mathematical ideas.

Prologue: Principles of Problem Solving. 1. FUNDAMENTALS. Chapter Overview. Real Numbers. Exponents and Radicals. Algebraic Expressions. Fractional Expressions. Equations. Modeling with Equations. Inequalities. Coordinate Geometry. Solving Equations and Inequalities Graphically. Lines. Modeling Variation. 2. FUNCTIONS. Chapter Overview. What Is a Function?. Graphs of Functions. Getting Information from the Graph of a Function. Average Rate of Change of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test. Focus on Modeling: Functions as Models. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Chapter Overview. Quadratic Functions and Models. Polynomial Functions and Their Graphs. Dividing Polynomials. Real Zeros of Polynomials. Complex Numbers. Complex Zeros and the Fundamental Theorem of Algebra. Rational Functions. Chapter 3 Review. Chapter 3 Test. Focus on Modeling: Fitting Polynomial Curves to Data. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Chapter Overview. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Chapter 4 Review. Chapter 4 Test. Focus on Modeling: Fitting Exponential and Power Curves to Data. Cumulative Review Test: Chapters 2, 3, and 4. 5. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH. Chapter Overview. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs. Modeling Harmonic Motion. Chapter 5 Review. Chapter 5 Test. Focus on Modeling: Fitting Sinusoidal Curves to Data. 6. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH. Chapter Overview. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles. The Law of Sines. The Law of Cosines. Chapter 6 Review. Chapter 6 Test. Focus on Modeling: Surveying. 7. ANALYTIC TRIGONOMETRY. Chapter Overview. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Sum-Product Identities. Basic Trigonometric Equations. More Trigonometric Equations. Chapter 7 Review. Chapter 7 Test. Focus on Modeling: Traveling and Standing Waves. Cumulative Review Test: Chapters 5, 6, and 7. 8. POLAR COORDINATES AND PARAMETRIC EQUATIONS. Chapter Overview. Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre's Theorem. Plane Curves and Parametric Equations. Chapter 8 Review. Chapter 8 Test. Focus on Modeling: The Path of a Projectile. 9. VECTORS IN TWO AND THREE DIMENSIONS. Chapter Overview. Vectors in Two Dimensions. The Dot Product. Three -Dimensional Coordinate Geometry. Vectors in Three Dimensions. The Cross Product. Equations of Lines and Planes. Chapter 9 Review. Chapter 9 Test. Focus on Modeling: Vector Fields. Cumulative Review Test: Chapters 8 and 9. 10. SYSTEMS OF EQUATIONS AND INEQUALITIES. Chapter Overview. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Several Variables. Systems of Linear Equations: Matrices. The Algebra of Matrices. Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule. Partial Fractions. Systems of Non-Linear Equations. Systems of Inequalities. Chapter 10 Review. Chapter 10 Test. Focus on Modeling: Linear Programming. 11. ANALYTIC GEOMETRY. Overview. Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Equations of Conics. Chapter 11 Review. Chapter 11 Test. Focus on Modeling: Conics in Architecture. Cumulative Review Test: Chapters 10 and 11. 12. SEQUENCES AND SERIES. Chapter Overview. Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematics of Finance. Mathematical Induction. The Binomial Theorem. Chapter 12 Review. Chapter 12 Test. Focus on Modeling: Difference Equations. 13. LIMITS: A PREVIEW OF CALCULUS. Chapter Overview. Finding Limits Numerically and Graphically. Finding Limits Algebraically. Tangent Lines and Derivatives. Limits at Infinity: Limits of Sequences. Areas. Chapter 13 Review. Chapter 13 Test.

ISBN10: 113359476X

Cover type:

Edition/Copyright: 6TH 14

Publisher: Brooks/Cole Publishing Co.

Published: 2014

International: No

The market leading textbook in precalculus is now available in a cost-saving paperback format. PRECALCULUS, ENHANCED WEBASSIGN EDITION contains the same sound mathematics found in the authors' original text, PRECALCULUS: MATHEMATICS FOR CALCULUS, Sixth Edition plus full support of Cengage Learning's powerful online homework program, Enhanced WebAssign. Each new Enhanced WebAssign Edition features the Start Smart Guide for Students, a simple step-by-step how-to booklet for getting started with online homework. The result is a customized resource that will better prepare your students for future courses in mathematics and sciences. In PRECALCULUS: MATHEMATICS FOR CALCULUS, Sixth Edition best-selling authors, James Stewart, Lothar Redlin and Saleem Watson refine their focus on problem solving and mathematical modeling to provide students with a solid foundation in the principles of mathematical thinking. The authors explain explains critical concepts simply and clearly, without glossing over difficult points to provide complete coverage of the function concept, and integrate a significant amount of graphing calculator material to help students develop insight into mathematical ideas.

Table of Contents

Prologue: Principles of Problem Solving. 1. FUNDAMENTALS. Chapter Overview. Real Numbers. Exponents and Radicals. Algebraic Expressions. Fractional Expressions. Equations. Modeling with Equations. Inequalities. Coordinate Geometry. Solving Equations and Inequalities Graphically. Lines. Modeling Variation. 2. FUNCTIONS. Chapter Overview. What Is a Function?. Graphs of Functions. Getting Information from the Graph of a Function. Average Rate of Change of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test. Focus on Modeling: Functions as Models. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Chapter Overview. Quadratic Functions and Models. Polynomial Functions and Their Graphs. Dividing Polynomials. Real Zeros of Polynomials. Complex Numbers. Complex Zeros and the Fundamental Theorem of Algebra. Rational Functions. Chapter 3 Review. Chapter 3 Test. Focus on Modeling: Fitting Polynomial Curves to Data. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Chapter Overview. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Chapter 4 Review. Chapter 4 Test. Focus on Modeling: Fitting Exponential and Power Curves to Data. Cumulative Review Test: Chapters 2, 3, and 4. 5. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH. Chapter Overview. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs. Modeling Harmonic Motion. Chapter 5 Review. Chapter 5 Test. Focus on Modeling: Fitting Sinusoidal Curves to Data. 6. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH. Chapter Overview. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles. The Law of Sines. The Law of Cosines. Chapter 6 Review. Chapter 6 Test. Focus on Modeling: Surveying. 7. ANALYTIC TRIGONOMETRY. Chapter Overview. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Sum-Product Identities. Basic Trigonometric Equations. More Trigonometric Equations. Chapter 7 Review. Chapter 7 Test. Focus on Modeling: Traveling and Standing Waves. Cumulative Review Test: Chapters 5, 6, and 7. 8. POLAR COORDINATES AND PARAMETRIC EQUATIONS. Chapter Overview. Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre's Theorem. Plane Curves and Parametric Equations. Chapter 8 Review. Chapter 8 Test. Focus on Modeling: The Path of a Projectile. 9. VECTORS IN TWO AND THREE DIMENSIONS. Chapter Overview. Vectors in Two Dimensions. The Dot Product. Three -Dimensional Coordinate Geometry. Vectors in Three Dimensions. The Cross Product. Equations of Lines and Planes. Chapter 9 Review. Chapter 9 Test. Focus on Modeling: Vector Fields. Cumulative Review Test: Chapters 8 and 9. 10. SYSTEMS OF EQUATIONS AND INEQUALITIES. Chapter Overview. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Several Variables. Systems of Linear Equations: Matrices. The Algebra of Matrices. Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule. Partial Fractions. Systems of Non-Linear Equations. Systems of Inequalities. Chapter 10 Review. Chapter 10 Test. Focus on Modeling: Linear Programming. 11. ANALYTIC GEOMETRY. Overview. Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Equations of Conics. Chapter 11 Review. Chapter 11 Test. Focus on Modeling: Conics in Architecture. Cumulative Review Test: Chapters 10 and 11. 12. SEQUENCES AND SERIES. Chapter Overview. Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematics of Finance. Mathematical Induction. The Binomial Theorem. Chapter 12 Review. Chapter 12 Test. Focus on Modeling: Difference Equations. 13. LIMITS: A PREVIEW OF CALCULUS. Chapter Overview. Finding Limits Numerically and Graphically. Finding Limits Algebraically. Tangent Lines and Derivatives. Limits at Infinity: Limits of Sequences. Areas. Chapter 13 Review. Chapter 13 Test.

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