Contemporary Precalculus A Graphing Approach

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  • Edition: 5th
  • Format: Hardcover
  • Copyright: 2008-01-07
  • Publisher: Brooks Cole
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Respected for its detailed guidance in using technology, CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fifth Edition, is written from the ground up to be used with graphing calculators that you may be using in your precalculus course. You?ll appreciate that the text has also long been recognized for its careful, thorough explanations and its presentation of mathematics in an informal yet mathematically precise manner. The authors also emphasize the all-important "why?" of mathematics--which is addressed in both the exposition and in the exercise sets by focusing on algebraic, graphical, and numerical perspectives.

Table of Contents

The Real Number System
Special Topics: Decimal Representation of Real Numbers
Solving Equations Algebraically
Special Topics: Absolute Value Equations
Special Topics: Variation
The Coordinate Plane
Discovery Project: Modeling the Real World with Lines
Graphs and Technology
Solving Equations Graphically and Numerically
Applications of Equations
Optimization Applications
Linear Models
Discovery Project: Supply and Demand
Functions and Graphs
Function Notation
Graphs of Functions
Special Topics: Graph Reading
Graphs and Transformations
Special Topics: Symmetry
Operations on Functions
Rates of Change
Inverse Functions
Discovery Project: Feedback: Good and Bad
Polynomial and Rational Functions
Quadratic Functions
Polynomial Functions
Special Topics: Synthetic Division
Real Roots of Polynomials
Graphs of Polynomial Functions
Special Topics: Polynomial Models
Rational Functions
Special Topics: Other Rational Functions
Polynomial and Rational Inequalities
Special Topics: Absolute Value Inequalities
Complex Numbers
Theory of Equations
Discovery Project: Architectural Arches
Exponential and Logarithmic Functions
Radicals and Rational Exponents
Special Topics: Radical Equations
Exponential Functions
Special Topics: Compound Interest and the Number e
Common and Natural Logarithmic Functions
Properties of Logarithms
Special Topics: Logarithmic Functions to Other Bases
Algebraic Solutions of Exponential and Logarithmic Equations
Exponential, Logarithmic, and Other Models
Discovery Project: Exponential and Logistic Modeling of Diseases
Trigonometric Functions
Angles and Their Measurement
The Sine, Cosine, and Tangent Functions
Alternate: The Sine, Cosine, and Tangent Functions
Algebra and Identities
Basic Graphs
Periodic Graphs and Simple Harmonic Motion
Special Topics: Other Trigonometric Graphs
Other Trigonometric Functions
Discovery Project: Pistons and Flywheels
Trigonometric Identities and Equations
Basic Identities and Proofs
Addition and Subtraction Identities
Special Topics: Lines and Angles
Other Identities
Inverse Trigonometric Functions
Trigonometric Equations
Discovery Project: The Sun and the Moon
Triangle Trigonometry
Trigonometric Functions of Angles
Alternate: Trigonometric Functions of Angles
Applications of Right Triangle Trigonometry
The Law of Cosines
The Law of Sines
Special Topics: The Area of a Triangle
Discovery Project: Life on a Sphere
Applications of Trigonometry
The Complex Plane and Polar Form for Complex Numbers
DeMoivre+ s Theorem and nth Roots of Complex Numbers
Vectors in the Plane
The Dot Product
Discovery Project: Surveying
Analytic Geometry
Circles and Ellipses
Rotations and Second-Degree Equations
Special Topics: Rotation of Axes
Plane Curves and Parametric Equations
Polar Coordinates
Polar Equations of Conics
Discovery Project: Designing Machines to Make Designs
Systems of Equations
Systems of Linear Equations in Two Variables
Special Topics: Systems of Nonlinear Equations
Large Systems of Linear Equations
Matrix Methods for Square Systems
Discovery Project: Input-Output Analysis
Discrete Algebra
Sequences and Sums
Arithmetic Sequences
Geometric Sequences
Special Topics: Infinite Series
The Binomial Theorem
Mathematical Induction
Discovery Project: Taking Your Chances
Limits and Continuity
Limits of Functions
Properties of Limits
Special Topics: The Formal Definition of Limit
Limits Involving Infinity
Discovery Project: Black Holes
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