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Precalculus Essentials : Enhanced with Graphing Utilities,9780131866683
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Precalculus Essentials : Enhanced with Graphing Utilities

by ;
Edition:
4th
ISBN13:

9780131866683

ISBN10:
0131866680
Media:
Hardcover
Pub. Date:
1/1/2006
Publisher(s):
Prentice Hall
List Price: $145.33

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Summary

This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series because, simply, "IT WORKS." Mike Sullivan, after twenty-five years of teaching, knows exactly what readers need to do to succeed and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Readers who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed. This dependable text retains its best featuresaccuracy, precision, depth, strong reader support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, readers will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus. Review. Graphs, Equations, and Inequalities. Functions and Their Graphs. Polynomial and Rational Functions. Exponential and Logarithmic Functions. Systems of Equations and Inequalities. Sequences; Induction; The Binomial Theorem. For all readers interested in college algebra.

Table of Contents

Graphs
Rectangular Coordinates; Graphing Utilities
Graphs of Equations
Solving Equations Using a Graphing Utility
Lines
Circles
Chapter Review
Chapter Test
Chapter Project
Functions and Their Graphs
Functions
The Graph of a Function
Properties of Functions
Linear Functions and Models
Library of Functions; Piecewise-Defined Functions
Graphing Techniques: Transformations
Mathematical Models: Constructing Functions
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Polynomial and Rational Functions
Quadratic Functions and Models
Polynomial Functions and Models
Properties of Rational Functions
The Graph of a Rational Function; Inverse and Joint Variation
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
Complex Zeros: Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Exponential and Logarithmic Functions
Composite Functions
One-to-One Functions; Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Compound Interest
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay
Building Exponential, Logarithmic, and Logistic Models from Data
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Trigonometric Functions
Angles and Their Measure
Trigonometric Functions: Unit Circle Approach
Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Sinusoidal Curve Fitting
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (continued)
Trigonometric Identities
Sum and Difference Formulas
Double-Angle and Half-Angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations I
Trigonometric Equations II
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Applications of Trigonometric Functions
Right Triangle Trigonometry; Solving Right Triangles
Law of Sines
Law of Cosines
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Polar Coordinates; Vectors
Polar Coordinates
Polar Equations and Graphs
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Analytic Geometry
Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Systems of Equations and Inequalities
Systems of Linear Equations: Substitution and Elimination
Systems of Inequalities
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Sequences; Induction; The Binomial Theorem
Sequences
Arithmetic Sequences
Geometric Sequences; Geometric Series
Chapter Test
Chapter Project
Cumulative Review
Appendix Review
Algebra Review
Geometry Review
Polynomials and Rational Expressions
Table of Contents provided by Publisher. All Rights Reserved.


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