Precalculus: Graphical, Numerical, Algebraic / Edition 7

Precalculus: Graphical, Numerical, Algebraic / Edition 7

by Franklin D. Demana
     
 

View All Available Formats & Editions

ISBN-10: 013245775X

ISBN-13: 9780132457750

Pub. Date: 03/28/2009

Publisher: Pearson Education

In this new edition of Precalculus, Seventh Edition, the authors encourage graphical, numerical, and algebraic modeling of functions as well as a focus on problem solving, conceptual understanding, and facility with technology.  They responded to many helpful suggestions provided by students and teachers in order to create a book that is

Overview

In this new edition of Precalculus, Seventh Edition, the authors encourage graphical, numerical, and algebraic modeling of functions as well as a focus on problem solving, conceptual understanding, and facility with technology.  They responded to many helpful suggestions provided by students and teachers in order to create a book that is designed for instructors and written for students.   As a result, we believe that the changes made in this edition make this the most effective precalculus text available today.

Product Details

ISBN-13:
9780132457750
Publisher:
Pearson Education
Publication date:
03/28/2009
Edition description:
New Edition
Pages:
1032

Table of Contents

Chapter P Prerequisites

   P.1   Real Numbers

P.2   Cartesian Coordinate System

P.3   Linear Equations and Inequalities

P.4   Lines in the Plane

P.5   Solving Equations Graphically, Numerically, and Algebraically

P.6   Complex Numbers

P. 7    Solving Inequalities Algebraically and Graphically

Chapter 1   Functions and Graphs

   1.1   Modeling and Equation Solving

   1.2   Functions and Their Properties

1.3   Twelve Basic Functions

   1.4   Building Functions from Functions

   1.5   Parametric Relations and Inverses

1.6 Graphical Transformations

1.7 Modeling With Functions

 Chapter 2  Polynomial, Power, and Rational Functions

2.1  Linear and Quadratic Functions with Modeling

   2.2   Power Functions with Modeling

   2.3   Polynomial Functions of Higher Degree with Modeling

   2.4   Real Zeros of Polynomial Functions

   2.5   Complex Zeros and the Fundamental Theorem of Algebra

   2.6   Graphs of Rational Functions

   2.7   Solving Equations in One Variable

2.8  Solving Inequalities in One Variable

Chapter 3   Exponential, Logistic, and Logarithmic Functions

   3.1   Exponential and Logistic Functions

   3.2    Exponential and Logistic Modeling

   3.3   Logarithmic Functions and Their Graphs

   3.4   Properties of LogarithmicFunctions

   3.5   Equation Solving and Modeling

3.6    Mathematics of Finance

Chapter 4   Trigonometric Functions

   4.1   Angles and Their Measures

   4.2   Trigonometric Functions of Acute Angles

   4.3   Trigonometry Extended: The Circular Functions

   4.4   Graphs of Sine and Cosine: Sinusoids

   4.5   Graphs of Tangent, Cotangent, Secant, and Cosecant

   4.6   Graphs of Composite Trigonometric Functions

   4.7   Inverse Trigonometric Functions

4.8  Solving Problems with Trigonometry

Chapter 5   Analytic Trigonometry

   5.1   Fundamental Identities

   5.2   Proving Trigonometric Identities

   5.3   Sum and Difference Identities

   5.4   Multiple-Angle Identities

   5.5   The Law of Sines

5.6  The Law of Cosines

Chapter 6   Applications of Trigonometry

   6.1   Vectors in the Plane

   6.2   Dot Product of Vectors

   6.3    Parametric Equations and Motion

   6.4   Polar Coordinates

   6.5   Graphs of Polar Equations

6.6  De Moivre’s Theorem and nth Roots

Chapter 7   Systems and Matrices

   7.1    Solving Systems of Two Equations

   7.2   Matrix Algebra

   7.3   Multivariate Linear Systems and Row Operations

   7.4   Partial Fractions

   7.5   Systems of Inequalities in Two Variables

 

Chapter 8   Analytic Geometry in Two and Three Dimensions

   8.1   Conic Sections and Parabolas

   8.2   Ellipses

8.3   Hyperbolas

   8.4   Translation and Rotation of Axes

8.5    Polar Equations of Conics

8.6   Three-Dimensional Cartesian Coordinate System

Chapter 9   Discrete Mathematics

   9.1   Basic Combinatorics  

   9.2   The Binomial Theorem 

   9.3   Probability

   9.4   Sequences

   9.5   Series

   9.6   Mathematical Induction 

   9.7   Statistics and Data (Graphical) 

   9.8 Statistics and Data (Algebraic)

 

Chapter 10   An Introduction to Calculus: Limits, Derivatives, and Integrals

   10.1     Limits and Motion: The Tangent Problem  

   10.2     Limits and Motion: The Area Problem

   10.3     More on Limits

   10.4     Numerical Derivatives and Integrals

Appendix A   Algebra Review

Appendix B   Key Formulas

Appendix C   Logic

 

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >