Precalculus
Pearson
978-0-321-83758-5 (ISBN)
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Dugopolski’s Precalculus: Functions and Graphs, Fourth Edition, gives you the essential strategies you need to make the transition to calculus. Throughout this book, you will find carefully placed learning aids and review tools to help them learn the math without getting distracted. The new edition includes over 900 additional exercises that are specifically designed to increase student understanding and retention of the concepts. Along the way, you’ll see how the algebra connects to your future calculus course, with tools like Foreshadowing Calculus and Concepts of Calculus. Dugopolski’s emphasis on problem solving and critical thinking helps you be successful in this course, as well as in future calculus courses.
Mark Dugopolski was born in Menominee, Michigan. After receiving a B.S. from Michigan State University, he taught high school for four years, and then went on to receive an M.S. in mathematics from Northern Illinois University. He also received a Ph.D. in the area of topology from the University of Illinois at Champaign-Urbana. Mark has been teaching at Southeastern Louisiana in Hammond, LA, ever since. Mark has been writing textbooks for about fifteen years. He is married and has two daughters, and enjoys playing tennis, jogging, and riding his bicycle in his spare time.
1. Equations, Inequalities, and Modeling 1.1 Equations in One Variable 1.2 Constructing Models to Solve Problems 1.3 Equations and Graphs in Two Variables 1.4 Linear Equations in Two Variables 1.5 Scatter Diagrams and Curve Fitting 1.6 Complex Numbers 1.7 Quadratic Equations 1.8 Linear and Absolute Value Inequalities Chapter 1 Highlights Chapter 1 Review Exercises Chapter 1 Test Concepts of Calculus: Limits 2. Functions and Graphs 2.1 Functions 2.2 Graphs of Relations and Functions 2.3 Families of Functions, Transformations, and Symmetry 2.4 Operations with Functions 2.5 Inverse Functions 2.6 Constructing Functions with Variation Chapter 2 Highlights Chapter 2 Review Exercises Chapter 2 Test Tying it all Together Concepts of Calculus: Instantaneous Rate of Change 3. Polynomial and Rational Functions 3.1 Quadratic Functions and Inequalities 3.2 Zeroes of Polynomial Functions 3.3 The Theory of Equations 3.4 Miscellaneous Equations 3.5 Graphs of Polynomial Functions 3.6 Rational Functions and Inequalities Chapter 3 Highlights Chapter 3 Review Exercises Chapter 3 Test Tying it all Together Concepts of Calculus: Instantaneous Rate of Change of the Power Functions 4. Exponential and Logarithmic Functions 4.1 Exponential Functions and Their Applications 4.2 Logarithmic Functions and Their Applications 4.3 Rules of Logarithms 4.4 More Equations and Applications Chapter 4 Highlights Chapter 4 Review Exercises Chapter 4 Test Tying it all Together Concepts of Calculus: The Instantaneous Rate of Change of f(x)= ex 5. The Trigonometric Functions 5.1 Angles and Their Measurements 5.2 The Sine and Cosine Functions 5.3 The Graphs of the Sine and Cosine Functions 5.4 The Other Trigonometric Functions and Their Graphs 5.5 The Inverse Trigonometric Functions 5.6 Right Triangle Trigonometry Chapter 5 Highlights Chapter 5 Review Exercises Chapter 5 Test Tying it all Together Concepts of Calculus: Evaluating Transcendental Functions 6. Trigonometric Identities and Conditional Equations 6.1 Basic Identities 6.2 Verifying Identities 6.3 Sum and Difference Identities 6.4 Double-Angle and Half-Angle Identities 6.5 Product and Sum Identities 6.6 Conditional Trigonometric Equations Chapter 6 Highlights Chapter 6 Review Exercises Chapter 6 Test Tying it all Together Concepts of Calculus: Area of a Circle and pi 7. Applications of Trigonometry 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Vectors 7.4 Trigonometric Form of Complex Numbers 7.5 Powers and Roots of Complex and Numbers 7.6 Polar Equations Chapter 7 Highlights Chapter 7 Review Exercises Chapter 7 Test Tying it all Together Concepts of Calculus: Limits and Asymptotes 8. Systems of Equations and Inequalities 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Nonlinear Systems of Equations 8.4 Partial Fractions 8.5 Inequalities and Systems of Inequalities in Two Variables 8.6 The Linear Programming Model Chapter 8 Highlights Chapter 8 Review Exercises Chapter 8 Test Tying it all Together Concepts of Calculus: Instantaneous Rate of Change and Partial Fractions 9. Matrices and Determinants 9.1 Solving Linear Systems Using Matrices 9.2 Operations with Matrices 9.3 Multiplication of Matrices 9.4 Inverses of Matrices 9.5 Solution of Linear Systems in Two Variables Using Determinants 9.6 Solution of Linear Systems in Three Variables Using Determinants Chapter 9 Highlights Chapter 9 Review Exercises Chapter 9 Test Tying it all Together 10. The Conic Sections 10.1 The Parabola 10.2 The Ellipse and the Circle 10.3 The Hyperbola 10.4 Rotation of Axes 10.5 Polar Equations of the Conics Chapter 10 Highlights Chapter 10 Review Exercises Chapter 10 Test Tying it all Together Concepts of Calculus: The Reflection Property of a Parabola 11. Sequences, Series, and Probability 11.1 Sequences 11.2 Series 11.3 Geometric Sequences and Series 11.4 Counting and Permutations 11.5 Combinations, Labeling, and the Binomial Theorem 11.6 Probability 11.7 Mathematical Induction Chapter 11 Highlights Chapter 11 Review Exercises Chapter 11 Test Concepts of Calculus: Limits of Sequences A. Appendix: Solutions to Try This Exercises B. Appendix: Basic Algebra Review B.1 Real Numbers and Their Properties B.2 Exponents and Radicals B.3 Polynomials B.4 Factorials Polynomials B.5 Rational Expressions Credits Answers to Selected Exercises Index of Applications Index
| Erscheint lt. Verlag | 27.3.2012 |
|---|---|
| Sprache | englisch |
| Maße | 10 x 10 mm |
| Gewicht | 1996 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-321-83758-4 / 0321837584 |
| ISBN-13 | 978-0-321-83758-5 / 9780321837585 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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