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Harcourt College Publishers
Contemporary College Algebra and Trigonometry: A Graphing Approach / Edition 1

Contemporary College Algebra and Trigonometry: A Graphing Approach / Edition 1

by Thomas W. Hungerford
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Product Details

ISBN-13: 9780030299889
Publisher: Harcourt College Publishers
Publication date: 09/28/2000
Edition description: Older Edition

About the Author

Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington (Seattle) and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. These include: ALGEBRA, Springer Verlag, Graduate Texts in Mathematics #73, 1974; Abstract Algebra: An Introduction, Second Edition, Harcourt, 1997; Mathematics With Applications, Eighth Edition (with M. Lial), Addison-Wesley, 2003; and Contemporary Precalculus: A Graphing Approach, Fourth Edition, Brooks/Cole, 2004.

Table of Contents

0. ALGEBRA REVIEW. The Real Number System. Excursion: Decimal Representation Of Real Numbers. Integral Exponents. Roots, Radicals, And Rational Exponents. Polynomials. Rational Expressions. Review. 1. GRAPHS AND TECHNOLOGY. The Coordinate Plane. Graphs And Graphing Calculators. Solving Equations Graphically and Numerically. Lines. Linear Models. Review. 2. EQUATIONS AND INEQUALITIES. First-Degree Equations and Applications. Quadratic Equations and Applications. Other Equations and Applications. Linear Inequalities. Polynomial and Rational Inequalities. Review. 3. FUNCTIONS AND GRAPHS. Functions. Functional Notation. Graphs of Functions. Excursion: Parametric Graphing. Graphs and Transformations. Excursion: Symmetry. Operations on Functions. Average Rates of Change. Excursion: Instantaneous Rates of Change. Review. 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Quadratic Functions and Models. Roots of Polynomials. Excursion: Synthetic Division. Graphs of Polynomial Functions. Excursion: Optimization Applications. Polynomial Models. Rational Functions. Excursion: Other Rational Functions. Complex Numbers. The Fundamental Theorem of Algebra. Review. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Applications of Exponential Functions. Common and Natural Logarithmic Functions. Properties of Logarithms. Excursion: Logarithms to Other Bases. Algebraic Solutions of Exponential and Logarithmic Equations. Exponential, Logarithmic, and Other Models. Inverse Functions. Review. 6. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Linear Equations in Two Variables. Excursion: Systems of Nonlinear Equations. Large Systems of Linear Equations. Matrix SolutionMethods. Matrix Methods for Square Systems. Excursion: Matrix Algebra. Systems of Linear Inequalities. Introduction to Linear Programming. Review. 7. DISCRETE ALGEBRA. Sequences and Sums. Arithmetic Sequences. Geometric Sequences. Excursion: Infinite Series. The Binomial Theorem. Permutations and Combinations. Excursion: Distinguishable Permutations. Introduction to Probability. Mathematical Induction. Review. 8. ANALYTIC GEOMETRY. Circles and Ellipses. Hyperbolas. Parabolas. Excursion: Rotations and Second-Degree Equations. Review.. 9. TRIANGLE TRIGONOMETRY. Trigonometric Functions of Acute Angles. Applications of Right Triangle Trigonometry. The Law of Cosines. The Law of Sines. Excursion: The Area of a Triangle. Review. 10. TRIGONOMETRIC FUNCTIONS. Angles and Their Measurement. Excursion: Arc Length and Angular Speed. The Sine, Cosine, and Tangent Functions. [Alternate 10.2 The Sine, Cosine, and Tangent Functions*] Algebra and Identities. Basic Graphs. Periodic Graphs and Simple Harmonic Motion. Excursion: Other Trigonometric Graphs. Other Trigonometric Functions. Excursion: Trigonometric Functions of Angles. Review. 11. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Basic Identities and Proofs. Addition and Subtraction Identities. Other Identities. Trigonometric Equations. Excursion: Other Solution Methods for Trigonometric Equations. Inverse Trigonometric Functions. Review . 12. APPLICATIONS OF TRIGONOMETRY. Plane Curves and Parametric Equations. Polar Coordinates. The Complex Plane and Polar Form for Complex Numbers. DeMoivre's Theorem and nth Roots of Complex Numbers. Vectors in the Plane. Review . APPENDIX A: GEOMETRY REVIEW. APPENDIX B: PROGRAM APPENDIX. APPENDIX C: ANSWERS TO ODD-NUMBERED EXERCISES. APPENDIX D: INDEX OF APPLICATIONS. INDEX.

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