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Addison-Wesley / Prentice Hall

Mathematics

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Algebra & Trigonometry, 7/E
Michael Sullivan

ISBN-10: 0131430734
ISBN-13:  9780131430730

Publisher:  Prentice Hall
Copyright:  2005
Format:  Cloth; 1184 pp
Published:  01/05/2004
New edition available
  This item has been replaced by Algebra and Trigonometry, 8/E.



For undergraduate courses in Algebra and Trigonometry with optional Graphing Calculator usage.

The Seventh Edition of this dependable text retains its best features — accuracy, precision, depth, strong student support, and abundant exercises — while substantially updating content and pedagogy. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.

Prepare for Class

Every chapter begins with...

  • NEW - Chapter Opening Article & Project

    • Each chapter begins with a current article and ends with a related project. The Article poses a real problem. The Project lets you apply what you learned to solve that problem.

Every section begins with...

  • NEW - Preparing for This Section

    • Sections begin with a list of key concepts to review, with page numbers.

    • Ever forget what you've learned? This feature highlights previously learned material to be used in this section. Review it, and you'll always be prepared for quizzes and tests.

  • NEW - Now Work 'Are You Prepared?' Problems

    • Special problems that support the Preparing for This Section feature.

    • Not sure you need the Preparing for This Section review? Work the 'Are You Prepared?' Problems. If you get one wrong, you'll know exactly what you need to review and where to review it!

  • NEW - Learning Objectives

    • Each section begins with a list of objectives. Objective numbers appear in the margin where the objective is covered.

    • These focus your studying by emphasizing what's most important and where to find it.

Most sections contain...

  • Calculus Icon

    • These appear next to information essential for the study of calculus.

    • Pay attention — if you spend extra time now, you'll do better later!

  • "Now Work" Problems

    • These follow most examples, and direct you to a related exercise.

    • We learn best by doing. You'll solidify your understanding of examples if you try a similar problem right away, before you forget what you've learned.

  • Cautions

    • Warnings are provided in the text. These point out common mistakes and help you avoid them.

  • Seeing the Concept & Explorations

    • These optional features suggest graphing utility activities.

    • You will obtain a deeper and more intuitive understanding of theorems and definitions.

  • NEW - In Words

    • These provide alternative descriptions of select definitions and theorems.

    • Does math ever look foreign to you? This feature translates math into plain English.

  • Step-by-Step, Annotated Examples

    • Examples contain detailed intermediate steps. Many include additional annotations.

    • Work the examples on your own, uncovering the solution line-by-line as you go. Each line will verify your work, or stimulate your thinking. For additional help, consult the blue annotations.

Practice

"Assess Your Understanding" sections (end-of-section exercises) contain a variety of problems...

  • NEW - 'Are You Prepared?' Problems

    • These assess your retention of the prerequisite material you'll need. Answers are given at the end of the section exercises. This feature is related to the Preparing for This Section feature.

    • Do you always remember what you've learned? Working these problems is the best way to find out. If you get one wrong, you'll know exactly what you need to review, and where to review it!

  • NEW - Concepts and Vocabulary

    • These Fill-in the-Blank and True/False items assess your understanding of key definitions and concepts.

    • Learning math is more than memorization — it's about discovering connections. These problems help you understand the 'big ideas' before diving into skill building.

  • Skill Development

    • Correlated to section examples, these problems provide straightforward practice, organized by difficulty.

    • It's important to dig in and develop your problem-solving skills. These problems provide you with ample practice to do so.

  • Graphical

    • These problems utilize graphs in a variety of ways. You will supplement your analytical understanding with graphical understanding.

  • Now Work Problems

    • Many examples refer you to a related homework problem. These related problems are marked by a yellow pencil. If you get stuck while working problems, look for the closest Now Work problem and refer back to the related example to see if it helps.

  • Applications

    • Application problems ("word problems") follow basic skill development problems.

    • Math is everywhere, and these problems demonstrate that. You'll learn to approach real problems, and how to break them down into manageable parts. These can be challenging, but are worth the effort.

  • Graphing Calculator

    • These optional problems require the use of a graphing utility, and are marked by a special icon.

    • Your instructor will usually provide guidance on whether or not to do these problems. If so, these problems help to verify and visualize your analytical results.

  • "DWR"

    • "Discussion, Writing, and Research" problems are marked by a special icon and red numbers. These support class discussion, verbalization of mathematical ideas, and writing and research projects.

    • To verbalize an idea, or to describe it clearly in writing, shows real understanding. These problems nurture that understanding. They're challenging, but you'll get out what you put in.

Review

Chapter Reviews at the end of each chapter contain...

  • "Things to Know"

    • A detailed list of important theorems, formulas, identities, definitions, and functions from the chapter.

    • Study these ideas and you'll know the most important material in the book!

  • NEW - "You Should be Able To..."

    • Contains a complete list of objectives by section, with corresponding practice exercises.

    • Do the recommended exercises and you'll have mastery over the key material. If you get something wrong, go review the suggested page numbers and try again.

  • Review Exercises

    • These provide comprehensive review and practice of key skills, matched to the Learning Objectives for each section. Practice makes perfect. These problems combine exercises from all sections, giving you a comprehensive in one place.

  • Practice Test

    • The Review Exercises contain blue-numbered problems. Together, these blue-numbered problems constitute a Chapter Practice Test. Be prepared. Take the sample practice test. It'll get you ready for your instructor's tests.

  • NEW - Chapter Projects

    • The Chapter Project applies what you've learned in the chapter the chapter opener article. Additional projects are available on a website. The Project gives you an opportunity to apply what you've learned in the chapter to solve the problem posed in the opening article. If your instructor allows, these make excellent opportunities to work in a group, which is often the best way of learning math.

  • NEW - Cumulative Review

    • These problem sets appear at the end of Chapters 2-13. They combine problems from previous chapters, providing an ongoing cumulative review. These are really important. They will ensure that you are not forgetting anything as you go. These will go a long way toward keeping you constantly primed for quizzes and tests.

  • Chapter Opening Article & Project

    • Each chapter begins with a current article and ends with a related project. The Article poses a real problem. The Project lets you apply what you learned to solve that problem.

  • Preparing for This Section

    • Sections begin with a list of key concepts to review, with page numbers.

    • Ever forget what you've learned? This feature highlights previously learned material to be used in this section. Review it, and you'll always be prepared for quizzes and tests.

  • Now Work 'Are You Prepared?' Problems

    • Special problems that support the Preparing for This Section feature.

    • Not sure you need the Preparing for This Section review? Work the 'Are You Prepared?' Problems. If you get one wrong, you'll know exactly what you need to review and where to review it!

  • Learning Objectives

    • Each section begins with a list of objectives. Objective numbers appear in the margin where the objective is covered.

    • These focus your studying by emphasizing what's most important and where to find it.

  • In Words

    • These provide alternative descriptions of select definitions and theorems.

    • Does math ever look foreign to you? This feature translates math into plain English.

  • 'Are You Prepared?' Problems

    • These assess your retention of the prerequisite material you'll need. Answers are given at the end of the section exercises. This feature is related to the Preparing for This Section feature.

    • Do you always remember what you've learned? Working these problems is the best way to find out. If you get one wrong, you'll know exactly what you need to review, and where to review it!

  • Concepts and Vocabulary

    • These Fill-in the-Blank and True/False items assess your understanding of key definitions and concepts.

    • Learning math is more than memorization — it's about discovering connections. These problems help you understand the 'big ideas' before diving into skill building.

  • "You Should be Able To..."

    • Contains a complete list of objectives by section, with corresponding practice exercises.

    • Do the recommended exercises and you'll have mastery over the key material. If you get something wrong, go review the suggested page numbers and try again.

  • Chapter Projects

    • The Chapter Project applies what you've learned in the chapter the chapter opener article. Additional projects are available on a website. The Project gives you an opportunity to apply what you've learned in the chapter to solve the problem posed in the opening article. If your instructor allows, these make excellent opportunities to work in a group, which is often the best way of learning math.

  • Cumulative Review

    • These problem sets appear at the end of Chapters 2-13. They combine problems from previous chapters, providing an ongoing cumulative review. These are really important. They will ensure that you are not forgetting anything as you go. These will go a long way toward keeping you constantly primed for quizzes and tests.

(Note: Chapters 2-13 end with Chapter Review, Chapter Projects, and Cumulative Review.)

R. Review.

Classification of Numbers. Algebra Review. Geometry Review. Polynomials. Factoring Polynomials. Polynomial Division; Synthetic Division. Rational Expressions. nth Roots; Rational Exponents. Chapter Review.



1. Equations and Inequalities.

Linear Equations. Quadratic Equations. Quadratic Equations in the Complex Number System. Radical Equations; Equations Quadratic in Form. Solving Inequalities. Equations and Inequalities Involving Absolute Value. Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs. Chapter Review. Chapter Projects.



2. Graphs.

Rectangular Coordinates. Graphs of Equations. Circles. Lines. Parallel and Perpendicular Lines. Scatter Diagrams; Linear Curve Fitting. Variation.



3. Functions and their Graphs.

Introduction to Functions. The Graph of a Function. Properties of Functions. Library of Functions; Piecewise-Defined Functions. Graphing Techniques: Transformations. Mathematical Models: Constructing Functions.



4. Polynomial and Rational Functions.

Quadratic Functions and Models. Polynomial Functions. Rational Functions I. Rational Functions II: Analyzing Graphs. Polynomial and Rational Inequalities. The Real Zeros of a Polynomial Function. Complex Zeros; Fundamental Theorem of Algebra.



5. Exponential and Logarithmic Functions.

Composite Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay; Newton's Law; Logistic Models. Logarithmic Scales.



6. Trigonometric Functions.

Angles and Their Measure. Right Triangle Trigonometry. Computing the Values of Trigonometric Functions of Given Angles. Trigonometric Functions of General Angles. 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.



7. Analytic Trigonometry.

The Inverse Sine, Cosine, and Tangent Functions. The Inverse Trigonometric Functions. 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.



8. Applications of Trigonometric Functions.

Applications Involving Right Triangles. Law of Sines. Law of Cosines. Area of a Triangle. Simple Harmonic Motion; Damped Motion; Combining Waves.



9. Polar Coordinates; Vectors.

Polar Coordinates. Polar Equations and Graphs. The Complex Plane; DeMoivre's Theorem. Vectors. The Dot Product.



10. Analytic Geometry.

Conics. The Parabola. The Ellipse. The Hyperbola. Rotation of Axes. Polar Equations of Conics. Plane Curves and Parametric Equations.



11. Systems of Equations and Inequalities.

Systems of Linear Equations: Substitution and Elimination. Systems of Linear Equations: Matrices. Systems of Linear Equations: Determinants. Matrix Algebra. Partial Fraction Decomposition. Systems of Nonlinear Equations. Systems of Inequalities. Linear Programming.



12. Sequences; Induction; The Binomial Theorem

Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem.



13. Counting and Probability.

Sets and Counting. Permutations and Combinations. Probability of Equally Likely Outcomes.



APPENDIX GRAPHING UTILITIES.

The Viewing Rectangle. Using a Graphing Utility to Graph Equations. Using a Graphing Utility to Locate Intercepts and Check for Symmetry. Using a Graphing Utility to Solve Equations. Square Screens. Using a Graphing Utility to Graph Inequalities. Using a Graphing Utility to Solve Systems of Linear Equations. Using a Graphing Utility to Graph Polar Equations. Using a Graphing Utility to Graph Parametric Equations.



Answers.


Index

  • 9780132332415
    Algebra & Trigonometry, The MyMathLab Edition, 8/E
    Sullivan
    ©2008 | Prentice Hall | Paper; 744 pp | Instock
    ISBN-10: 0132332418 | ISBN-13: 9780132332415
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  • 9780132329033
    Algebra and Trigonometry, 8/E
    Sullivan
    ©2008 | Prentice Hall | Cloth; 1176 pp | Instock
    ISBN-10: 0132329034 | ISBN-13: 9780132329033
    Brief Description | Buy from myPearsonStore

Mike Sullivan Professor of Mathematics at Chicago State University received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years. He is a native of Chicago’s South Side and currently resides in Oaklawn.  Mike has four children.  The two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project.  Mike III co-authored the Sullivan Graphing with Data Analysis series as well as this series.  Dan, the youngest, sells for Prentice Hall as a generalist.

 

Mike has authored or co-authored over ten books.  He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oaklawn, where Mike enjoys gardening.  Mike first signed this series with Deleen Publishing (Acquired by Macmillan) in 1985.

 

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WebCT, Trigonometry, 7/E
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Blackboard, Trigonometry, 7/E
Sullivan III
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Blackboard, Trigonometry, 7/E
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My MathLab, 7/E
Sullivan
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PowerPoint Presentations-DOWNLOAD ONLY, 7/E
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©2005 | Prentice Hall | Software | Instock
ISBN-10: 0131530879 | ISBN-13: 9780131530874
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Algebra Review (stand alone), 2/E
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ISBN-10: 0131480065 | ISBN-13: 9780131480063
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ISBN-10: 0131892797 | ISBN-13: 9780131892798

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My MathLab, 7/E
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ISBN-10: 0130646040 | ISBN-13: 9780130646040
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©2005 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0131478664 | ISBN-13: 9780131478664
URL:  http://www.mymathlab.com

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WebCT, Trigonometry, 7/E
Sullivan III
©2005 | Prentice Hall | Electronic Book | Instock
ISBN-10: 0131892789 | ISBN-13: 9780131892781
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Blackboard, Trigonometry, 7/E
Sullivan III
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ISBN-10: 0131892797 | ISBN-13: 9780131892798

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