Precalculus : Mathematics for Calculus

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  • Edition: 6th
  • Format: Hardcover
  • Copyright: 2011-01-01
  • Publisher: Cengage Learning
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This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity, the same as found in James Stewart's market-leading Calculus text, is what makes this text the market leader.

Table of Contents

Chapter Overview
Real Numbers
Exponents and Radicals
Algebraic Expressions
Fractional Expressions
Modeling with Equations
Coordinate Geometry
Solving Equations and Inequalities Graphically
Modeling Variation
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
TeSt. Focus on Modeling: Functions as Models
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
TeSt. Focus on Modeling: Fitting Polynomial Curves to Data
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
TeSt. Focus on Modeling: Fitting Exponential and Power Curves to Data
Cumulative Review Test: Chapters 2, 3, and 4
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
TeSt. Focus on Modeling: Fitting Sinusoidal Curves to Data
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
TeSt. Focus on Modeling: Surveying
Analytic Trigonometry
Chapter Overview
Trigonometric Identities
Addition and Subtraction Formulas
Double-Angle, Half-Angle, and Sum-Product Identities
Basic Trigonometric Equations
More Trigonometric Equations
TeSt. Focus on Modeling: Traveling and Standing Waves
Cumulative Review Test: Chapters 5, 6, and 7
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
TeSt. Focus on Modeling: The Path of a Projectile
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
TeSt. Focus on Modeling: Vector Fields
Cumulative Review Test: Chapters 8 and 9
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
TeSt. Focus on Modeling: Linear Programming
Analytic Geometry
Shifted Conics
Rotation of Axes
Polar Equations of Conics
TeSt. Focus on Modeling: Conics in Architecture
Cumulative Review Test: Chapters 10 and 11
Sequences And Series
Chapter Overview
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Mathematics of Finance
Mathematical Induction
The Binomial Theorem
TeSt. Focus on Modeling: Difference Equations
Limits: A Preview Of Calculu.S
Chapter Overview
Finding Limits Numerically and Graphically
Finding Limits Algebraically
Tangent Lines and Derivatives
Limits at Infinity: Limits of Sequences
TeSt. Appendix: Calculators and Calculations
Table of Contents provided by Publisher. All Rights Reserved.

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Customer Reviews

Basically algebra June 24, 2014
"While it says precalculus, this book is mostly what was covered in my Algebra II class in high school, where I didn't have to pay tuition."
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Decent at best October 17, 2011
This book has been hard for me to understand, however I have been giving it more time and things are improving. This book just takes more time to understand the concepts, which isn't uncommon for college math books.
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Precalculus : Mathematics for Calculus: 3 out of 5 stars based on 2 user reviews.

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