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Precalculus Mathematics for Calculus

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ISBN-10: 0840068077

ISBN-13: 9780840068071

Edition: 6th 2012

Authors: James Stewart, Lothar Redlin, Saleem Watson

List price: $299.95
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Book details

List price: $299.95
Edition: 6th
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/1/2011
Binding: Hardcover
Pages: 1008
Size: 8.50" wide x 10.75" long x 1.50" tall
Weight: 5.280
Language: English

James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

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
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
Review
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
Review
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
Review
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
Review
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
Review
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
Review
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
Review
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
Review
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
Review
TeSt. Focus on Modeling: Linear Programming
Analytic Geometry
Overview
Parabolas
Ellipses
Hyperbolas
Shifted Conics
Rotation of Axes
Polar Equations of Conics
Review
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
Review
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
Areas
Review
TeSt. Appendix: Calculators and Calculations