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Algebra and Trigonometry - Text Only

Algebra and Trigonometry - Text Only - 2nd edition

ISBN13: 978-0131013599

Cover of Algebra and Trigonometry - Text Only 2ND 04 (ISBN 978-0131013599)
ISBN13: 978-0131013599
ISBN10: 0131013599
Cover type:
Edition/Copyright: 2ND 04
Publisher: Prentice Hall, Inc.
Published: 2004
International: No

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Algebra and Trigonometry - Text Only - 2ND 04 edition

ISBN13: 978-0131013599

Robert F. Blitzer

ISBN13: 978-0131013599
ISBN10: 0131013599
Cover type:
Edition/Copyright: 2ND 04
Publisher: Prentice Hall, Inc.

Published: 2004
International: No

For courses in Algebra and Trigonometry.

This text presents the traditional content of the entire Precalculus series of courses in a manner that answers the age-old question of "When will I ever use this?" Highlighting truly relevant applications, this text presents the material in an easy to teach from/easy to learn from approach.

  • NEW--Added content throughout--i.e., factoring algebraic expressions containing fractional and negative exponents; relative maximum and relative minimum values of a function; and functions average rate of change.
    • Helps students who will be going on to Calculus, and gives them an enhanced understanding of functions graphs and how those graphs are changing.
  • NEW--Reorganized content in Chapters P and 1--Moves complex numbers and the discussion of graphs and graphing utilities from Chapter P to Chapter 1.
    • Enables students to immediate apply their understanding of complex numbers to their work in solving quadratic equations, and sets the stage for using graphing to support the algebraic work in solving equations and inequalities developed in Chapter 1.
  • NEW--Separate discussion on parallel and perpendicular lines--In section 2.1
    • Provides students with a more complete and unified presentation of this material.
  • NEW--A general discussion on cost and average cost functions--In section 3.6.
    • Makes it possible for students to model these functions from verbal conditions before exploring the behavior of their graphs.
  • NEW--New application involving cost functions, revenue functions, and break-even points--In section 8.1.
    • Presents business majors with important topics, and gives students additional practice in developing functions that model verbal conditions.
  • NEW--Applications and updated real-world data--Provides more interesting, real-world applications than found in any similar text.
    • Brings relevance to examples, discussions, and applications.
  • NEW--Rewritten, extensive, and well-organized exercise sets--At the end of each section exercises are organized by level within six category types: Practice Exercises, Application Exercises, Writing in Mathematics, Technology Exercises, Critical Thinking Exercises, and Group Exercises.
    • Helps instructors easily create well-rounded homework assignments. Presents students with an ongoing selection of novel applications.
  • NEW--Enrichment Essays and section openers--Includes the five all-time celebrity winners on Jeopardy!, and a comparison between the probability of dying and the probability of winning Floridas lottery.
    • Provides historical, interdisciplinary, and interesting connections throughout the text.
  • NEW--More Study Tip boxes--Appear in abundance throughout the book.
    • Offers students suggestions for problem solving, point out common student errors, and provide informal tips and suggestions.
  • NEW--Expanded number of optional technology boxes.
    • Illustrates the many capabilities of graphing utilities that go beyond just graphing.
  • NEW--Chapter Review Grids--Feature summaries of chapter material organized into two-column review charts.
    • Summarizes the definitions and concepts for every section of the chapter, and refers students to illustrative examples (by example number and page number) of these key concepts.
  • Relevant, diverse applications--Topics include cigarette consumption, passion and commitment in humans, and online spending trends.
    • Peaks students' interest by showing them how important math is to their lives on a daily basis.
  • Exceptionally clear and accessible presentation--Features voice balloons that allow for more specific annotations in examples.
    • Further clarifies procedures and concepts for students.
  • Well-Constructed Examples--No steps are omitted and each step is clearly explained.
    • Provides students with detailed step-by-step solutions.
  • Checkpoint Examples--Followed by a similar matched problem for students to work while reading the material.
    • Actively involves students in the learning process.
  • Titled Examples--All examples have titles.
    • Enables students to immediately see the purpose of each example.
  • Chapter-end Tests--Follows the comprehensive collection of chapter review exercises.
    • Gives students the opportunity to see if they are prepared for an actual class test.
  • Cumulative Review Exercises--At the end of each chapter.
    • Provides students with the opportunity for continuous review.

Author Bio

Blitzer, Robert F. : Miami-Dade Community College

Table of Contents

(NOTE: Each chapter concludes with Summary, Review Exercises, and Chapter Test and/or Cumulative Review Exercises.)
P. Prerequisites: Fundamental Concepts of Algebra.

Real Numbers and Algebraic Expressions. Exponents and Scientific Notation. Radicals and Rational Exponents. Polynomials. Factoring Polynomials. Rational Expressions.

1. Equations, Inequalities, and Mathematical Models.

Graphs and Graphing Utilities. Linear Equations. Formulas and Applications. Quadratic Equations. Other Types of Equations. Linear Inequalities. Quadratic and Rational Inequalities.

2. Functions and Graphs.

Lines and Slope. Distances and Midpoint Formulas: Circles. Basics of Functions. Graphs of Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions.

3. Polynomial and Rational Functions.

Quadratic Functions. Polynomial Functions and Their Graphs. Dividing Polynomials: Remainder and Factor Theorems. Zeros of Polynomial Functions. More on Zeros of Polynomial Functions. Rational Functions and Their Graphs. Modeling Using Variation.

4. Exponential and Logarithmic Functions.

Exponential Functions. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions.

5. Trigonometric Functions.

Angles and Their Measure. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Trigonometric Functions of Real Numbers; Periodic Functions. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications of Trigonometric Functions.

6. Analytic Trigonometry.

Verifying Trigonometric Identities. Sum and Difference Formulas. Double-Angle and Half-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. Trigonometric Equations.

7. Additional Topics in Trigonometry.

The Law of Sines. The Law of Cosines. Polar Coordinates. Graphs of Polar Equations. Complex Numbers in Polar Form; DeMoivre's Theorem. Vectors. The Dot Product.

8. Systems of Equations and Inequalities.

Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Partial Fractions. Systems of Nonlinear Equations in Two Variables. Systems of Inequalities. Linear Programming.

9. Matrices and Determinants.

Matrix Solutions to Linear Systems. Inconsistent and Dependent Systems and Their Applications. Matrix Operations and Their Applications. Multiplicative Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule.

10. Conic Sections and Analytic Geometry.

The Ellipse. The Hyperbola. The Parabola. Rotation of Axes. Parametric Equations. Conic Sections in Polar Coordinates.

11. Sequences, Induction, and Probability.

Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Counting Principles, Permutations, and Combinations. Probability.

Appendix: Where Did That Come From? Selected Proofs.
Answers to Selected Exercises.
Subject Index.

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