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Algebra and Trigonometry, 6/E
Michael Sullivan, Chicago State University

ISBN-10: 0130914657
ISBN-13: 9780130914651

Publisher: Pearson
Copyright: 2002
Format: Cloth; 1108 pp
Published: 04/03/2001

This text is highly dependable, having been fine-tuned over many years. Hallmarks are accuracy, precision, depth, strong student support and abundant, thorough, and varied exercise sets. This title is fairly traditional and has optional graphing calculator coverage throughout. Approach to trigonometry is right-triangle first. Part of a four title series.

NEW—Three part case study at Motorola—Each chapter begins with a Field Trip to Motorola, followed by an Interview at Motorola, and ends with a Project at Motorola (written by a Motorola employee). It doesn't get more REAL than this.

Helps students see the true relevance and usefulness of mathematics. Offers real case studies for end of chapter projects.

NEW—“Preparing for This Section” —Referenced list that opens each section.

Provides a “just-in-time” review for students.

NEW—New design—Utilizes multiple colors to enhance accessibility.

Highlights important concepts for students.

NEW—Updated Graphing Utilities Appendix—Includes the latest features of the graphing calculator. While use of the graphing calculator remains optional, graphing icons referencing the Appendix occur at the appropriate places in the text for those inclined to use the graphing calculator features of the text.
“Now Work Problem xx” —Appear after a concept has been introduced. Identified with a pencil icon.

Encourages students to pause and work an exercise problem to ensure the previous concept was understood before moving on.

Multiple source applications—Drawn from tax tables, the Guinness Book of World Records, newspaper articles, and texts in economics, chemistry, etc.

Allows students to make the connection between familiar situations and learned math concepts.

Numerous graduated examples and exercises—Many of which are applied.

Helps students build confidence and master the concepts.

“Calculator icon” —Designates selected examples.

Invites students to use a graphing calculator for checking or exploration when appropriate.

Optional Comments, Explorations, Seeing the Concept, and Examples—Utilize the graphing calculator and are clearly marked with a calculator icon. Calculator exercises are also identified by the icon and appear in green.

Enables students to clearly identify which tool is appropriate with a specific exercise.

Discussion, writing, and research problems—Appear in each exercise set, are identified by an icon, and are red.

Provide the basis for class discussion, writing projects, and class discussion.

Detailed review closes each chapter—Includes important formulas, theorems, definitions, and objectives—as well as a complete set of Review Exercises with sample test questions.

Summarizes the chapter material with related features that allow students to expand and test their knowledge.

NEW—Reorganized content for Algebra and Trigonometry.

Chapter R: Review—Revision of previous Chapter 1, referenced throughout the book when review of content may be needed.
The discussion of Polynomial and Rational Inequalities now appears after Polynomial and Rational Functions, allowing students to use the information about the graphs to solve the inequalities. Students and professors will appreciate how easily this usually tough concept is now handled.
Zeros of a Polynomial Function now appears in a separate Chapter following Polynomial and Rational Functions to provide more flexibility in teaching and testing.
Separate chapters on Sequences, Induction, the Binomial Theorem, and Counting and Probability also provide more flexibility in coverage.
Trigonometric Functions—Graphs of the sine and cosine functions and sinusoidal graphs are now combined. Separate sections on the remaining graphs and Phase Shifts as well as Sinusoidal Curve Fitting provide flexibility and ease of coverage.
Analytic Trigonometric—This chapter begins with two sections that discuss the Inverse Trigonometric Functions and concludes with two sections devoted to Trigonometric Equations. These changes allow for a “one period per section” approach.

(NOTE: Each chapter concludes with Chapter Review and Project at Motorola.)
R. Review.

Real Numbers. Algebra Review. Geometry Review. Integer Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Square Roots; Radicals. Rational Exponents.

1. Equations and Inequalities.

Equations. Setting Up Equations: Applications. Quadratice Equations. Radical Equations; Equations Quadratic in Form. Solving Inequalities. Equations and Inequalities Involving Absolute Value.

2. Graphs.

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

3. Functions and Their Graphs.

Functions. Properties of Functions. Library of Functions; Piecewise-Defined Functions. Graphing Techniques: Transformations. Operations on Functions; Composite Functions. Mathematical Models: Constructing Functions.

4. Polynomial and Rational Functions.

Quadratice Functions and Models. Polynomial Functions. Rational Functions I. Rational Functions II: Analyzing Graphs. Polynomial and Rational Inequalities.

5. The Zeros of a Polynomial Function.

Synthetic Division. The Real Zeros of a Polynomial Function. Complex Numbers; Quadratic Equations with a Negative Discriminant. Complex Zeros; Fundamental Theorem of Algebra.

6. Exponential and Logarithmic Functions.

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

7. Trigonometric Functions.

Angles and Their Measure. Right Triangle Trigonometry. Computing the Values of Trigonometric Functions of Given Angles. Trigonometric Functions of General Angles. Properties of the Trigonometric Functions; Unit Circle Approach. Graphs of the Sine and Cosine Functions. Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions. Phase Shift; Sinusoidal Curve Fitting.

8. Analytic Trigonometry.

The Inverse Sine, Cosine, and Tangent Functions. The Inverse Trigonometric Functions (Continues). 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.

9. Applications of Trigonometric Functions.

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

10. Polar Coordinates; Vectors.

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

11. Analytic Geometry.

Conics. The Parabola. The Ellipse. The Hyperbola. Rotation of Axes; General Form of a Conic. Polar Equations of Conics. Plane Curves and Parametric Equations.

12. Systems of Equations and Inequalities.

Systems of Linear Equations: Two Equations Containing Two Variables. Systems of Linear Equations: Three Equations Containing Three Variables. Systems of Linear Equations: Matrices. Systems of Linear Equations: Determinants. Matrix Algebra. Partial Fraction Decomposition. Systems of Nonlinear Equations. Systems of Inequalities. Linear Programming.

13. Sequences; Induction; The Binomial Theorem.

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

14. Counting and Probability

Sets and Counting. Permutations and Combinations. Probability.

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 a Polar Equation. Using a Graphing Utility to Graph Parametric Equations.

Answers.
Index.

Algebra and Trigonometry (Mathematics)

Algebra and Trigonometry, 8/E
Sullivan
©2008 | Pearson | Cloth; 1176 pp | Instock
ISBN-10: 0132329034 | ISBN-13: 9780132329033
Net price: $123.00 (What's this?)Brief Description

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

The Eighth 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.

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