Algebra and Trigonometry
(Sprache: Englisch)
The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides...
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Produktinformationen zu „Algebra and Trigonometry “
The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Trigonometric Functions; Exponential and Logarithmic Functions; Analytic Geometry; Analytic Trigonometry; Counting and Probability; and more. For individuals with an interest in learning algebra and trigonometry as it applies to their everyday lives.
Inhaltsverzeichnis zu „Algebra and Trigonometry “
TABLE OF CONTENTS Chapter R Review R.1 Real Numbers R.2 Algebra Essentials R.3 Geometry Essentials R.4 Polynomials R.5 Factoring Polynomials R.6 Synthetic Division R.7 Rational Expressions R.8 nth Roots; Rational Exponents Chapter Review Chapter Test Chapter 1 Equations and Inequalities 1.1 Linear Equations 1.2 Quadratic Equations 1.3 Complex Numbers; Quadratic Equations in the Complex Number System 1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations 1.5 Solving Inequalities 1.6 Equations and Inequalities Involving Absolute Value 1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications Chapter Review Chapter Test Chapter Projects Chapter 2 Graphs 2.1 The Distance and Midpoint Formulas 2.2 Graphs of Equations; Intercepts; Symmetry 2.3 Lines 2.4 Circles 2.5 Variation Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 3 Functions and Their Graphs 3.1 Functions 3.2 The Graph of a Function 3.3 Properties of Functions 3.4 Library of Functions; Piecewise-defined Functions 3.5 Graphing Techniques: Transformations 3.6 Mathematical Models: Building Functions Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 4 Linear and Quadratic Functions 4.1 Linear Functions and Their Properties 4.2 Building Linear Functions from Data 4.3 Quadratic Functions and Their Properties 4.4 Quadratic Models; Building Quadratic Functions From Data 4.5 Inequalities Involving Quadratic Functions Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 5 Polynomial and Rational Functions 5.1 Polynomial Functions and Models 5.2 Properties of Rational Functions 5.3 The Graph of a Rational Function 5.4 Polynomial and Rational Inequalities 5.5 The Real Zeros of a Polynomial Function 5.6 Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 6 Exponential and Logarithmic Functions 6.1 Composite Functions 6.2 One-to-One Functions; Inverse
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Functions 6.3 Exponential Functions 6.4 Logarithmic Functions 6.5 Properties of Logarithms 6.6 Logarithmic and Exponential Equations 6.7 Compound Interest 6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models 6.9 Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 7 Trigonometric Functions 7.1 Angles and Their Measure 7.2 Right Triangle Trigonometry 7.3 Computing the Values of Trigonometric Functions of Acute Angles 7.4 Trigonometric Functions of General Angles 7.5 Unit Circle Approach: Properties of the Trigonometric Functions 7.6 Graphs of the Sine and Cosine Functions 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 7.8 Phase Shift; Building Sinusoidal Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 8 Analytic Trigonometry 8.1 The Inverse Sine, Cosine, and Tangent Functions 8.2 The Inverse Trigonometric Functions (continued) 8.3 Trigonometric Identities 8.4 Sum and Difference Formulas 8.5 Double-Angle and Half-Angle Formulas 8.6 Product-to-Sum and Sum-to-Product Formulas 8.7 Trigonometric Equations (I) 8.8 Trigonometric Equations (II) Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 9 Applications of Trigonometric Functions 9.1 Applications Involving Right Triangles 9.2 Law of Sines 9.3 Law of Cosines 9.4 Area of a Triangle 9.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 10 Polar Coordinates; Vectors 10.1 Polar Coordinates 10.2 Polar Equations and Graphs 10.3 The Complex Plane; DeMoivre's Theorem 10.4 Vectors 10.5 The Dot Product Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 11 Analytic Geometry 11.1 Conics 11.2 The Parabola 11.3 The Ellipse 11.4 The Hyperbola 11.5 Rotation of Axes; General Form of a Conic 11.6 Polar Equations of Conics 11.7 Plane Curves and Parametric Equations Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 12 Systems of Equations and Inequalities 12.1 Systems of Linear Equations: Substitution and Elimination 12.2 Systems of Linear Equations: Matrices 12.3 Systems of Linear Equations: Determinants 12.4 Matrix Algebra 12.5 Partial Fraction Decomposition 12.6 Systems of Nonlinear Equations 12.7 Systems of Inequalities 12.8 Linear Programming Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 13 Sequences; Induction; The Binomial Theorem 13.1 Sequences 13.2 Arithmetic Sequences 13.3 Geometric Sequences; Geometric Series 13.4 Mathematical Induction 13.5 The Binomial Theorem Chapter Review Chapter Test Cumulative Review Chapter Projects Chapter 14 Counting and Probability 14.1 Sets and Counting 14.2 Permutations and Combinations 14.3 Probability Chapter Review Chapter Test Cumulative Review Chapter Projects Appendix Graphing Utilities 1 The Viewing Rectangle 2 Graphing Equations in Two Variables 3 Locating Intercepts and Checking for Symmetry 4 Solving Equations Using a Graphing Utility 5 Square Screens 6 Graphing Inequalities in Two Variables 7 Solving Systems of Linear Equations 8 Graphing a Polar Equation 9 Graphing Parametric Equations
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Autoren-Porträt von Michael Sullivan
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 35 years. He has been writing textbooks in mathematics for over 30 years. Mike has authored or co-authored over ten books. He is a native of Chicago's South Side and currently resides in Oaklawn. He has four children: Kathleen, who teaches college mathematics, Mike III, who co-authors many titles as well as teaches college mathematics, Dan, who is a Prentice Hall sales representative, and Colleen, who teaches middle-school mathematics. Nine grandchildren round out the family. Why I Wrote This Book: As a professor of mathematics at an urban public university for over 35 years, I understand the varied needs of precalculus students who range from having little mathematical background and a fear of mathematics courses to those who have had a strong mathematical education and are highly motivated. For some of your students, this will be their last course in mathematics, while others may decide to further their mathematical education. I have written this text for both groups. As the author of precalculus, engineering calculus, finite math and business calculus texts, and, as a teacher, I understand what students must know if they are to be focused and successful in upper level mathematics courses. However, as a father of four, I also understand the realities of college life. I have taken great pains to insure that this text contains solid, student-friendly examples and problems, as well as a clear writing style. I encourage you to share with me your experiences teaching from this text. The eighth edition of this series builds upon a solid foundation by integrating new features and techniques that further enhance student interest and involvement. The elements of the previous edition that have proved successful remain, while many changes, some obvious, others subtle, have been made. A huge
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benefit of authoring a successful series is the broad-based feedback upon which improvements and additions are ultimately based. Virtually every change to this edition is the result of thoughtful comments and suggestions made from colleagues and students who have used the previous edition. I am sincerely grateful for this feedback and have tried to make changes that improve the flow and usability of this text.
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Bibliographische Angaben
- Autor: Michael Sullivan
- 2007, 8th revised edition, 1176 Seiten, mit farbigen Abbildungen, Maße: 22,6 x 28,8 cm, Gebunden, Englisch
- Verlag: Prentice Hall
- ISBN-10: 0132329034
- ISBN-13: 9780132329033
Sprache:
Englisch
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