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Contemporary Precalculus - Media Updated Edition -With CD

Contemporary Precalculus - Media Updated Edition -With CD - 4th edition

ISBN13: 978-0495189909

Cover of Contemporary Precalculus - Media Updated Edition -With CD 4TH 07 (ISBN 978-0495189909)
ISBN13: 978-0495189909
ISBN10: 0495189901
Cover type:
Edition/Copyright: 4TH 07
Publisher: Brooks/Cole Publishing Co.
Published: 2007
International: No

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Contemporary Precalculus - Media Updated Edition -With CD - 4TH 07 edition

ISBN13: 978-0495189909

Thomas W. Hungerford

ISBN13: 978-0495189909
ISBN10: 0495189901
Cover type:
Edition/Copyright: 4TH 07
Publisher: Brooks/Cole Publishing Co.

Published: 2007
International: No
Summary

Thomas Hungerford's CONTEMPORARY PRECALCULUS text is highly praised and well respected for its clear writing, outstanding applications problems, and integration of technology. Many adopters like the use of real data in examples and exercises, and they appreciate the flexibility of the book.

New to the Edition

  • Real data in examples and exercises have been updated and many new ones have been added to support modeling and to help motivate students.
  • Instructors are provided greater flexibility in trigonometry; the unit circle approach is presented first in the text, but if they prefer to begin with triangle trigonometry, they can do so by using two alternate sections.
  • Coverage of Analytic Geometry has been expanded.
  • An optional chapter on limits has been added to the text, for those who wish to introduce this topic in preparation for calculus.
  • A "Catalog of Basic Functions" now appears at appropriate places in the text and on the endpapers, allowing students to quickly reference these key ideas.
  • There is now an optional section on variation for those who want to cover this topic.
  • Fuller treatment of similar triangles has been added to the Geometry Review Appendix, to help students who are weak in Geometry.
  • Technology Tips have been simplified and made more easily readable.
  • Every new copy of this text is packaged with our suite of online tutorial services. With this mastery system, your students have dynamic, flexible online tutorial resources at their fingertips. By entering a PIN code packaged with their textbook, students gain access to text-specific tutorials with step-by-step explanations, exercises and quizzes and vMentor, live---one-on-one help from an experienced mathematics tutor. For instructors, we offer highly customizable testing, course management, and diagnostic online resources that provide a dynamic way to power your course.

Table of Contents

1. BASICS.

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.
Lines.
Discovery Project: Modeling the Real World with Lines.

2. GRAPHS AND TECHNOLOGY.

Graphs.
Solving Equations Graphically and Numerically.
Applications of Equations.
Optimization Applications.
Linear Models.
Discovery Project: Supply and Demand.

3. FUNCTIONS AND GRAPHS.

Functions.
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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.

9. 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.

10. ANALYTIC GEOMETRY.

Circles and Ellipses.
Hyperbolas.
Parabolas.
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.

11. 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.

12. DISCRETE ALGEBRA.

Sequences and Sums.
Arithmetic Sequences.
Geometric Sequences.
Special Topics: Infinite Series.
The Binomial Theorem.
Mathematical Induction.
Discovery Project: Taking Your Chances.

13. LIMITS AND CONTINUITY.

Limits of Functions.
Properties of Limits.
Special Topics: The Formal Definition of Limit.
Continuity.
Limits Involving Infinity.
Discovery Project: Black Holes.

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