Precalculus
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Precalculus: Functions and Graphs

Precalculus: Functions and Graphs


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About the Book

Precalculus, Eighth Edition, provides the essential concepts and skills for students preparing to take calculus, as well as those students requiring college mathematics at this level to fulfill their degree requirements.The book contains elements of reform, but within the context of a traditional curriculum. Topics are presented in a variety of ways - geometrically, graphically, numerically, symbolically, and analytically. Special attention is paid to pointing out the connection between algebraic and geometric interpretations of important concepts, which is effective in promoting visual thinking. Special Features include: New, four-color interior design Real-world applications drawn from a variety of disciplines Graphing, incorporated throughout the text, promotes visualization Margin notes provide insight and advice to students The use of technology is optional, without compromising full coverage of the mathematics Problems are written and organized into three categories: 1. Providing the practice needed to master the concepts 2. A broad range of applications and models that require students to apply the concepts 3. Challenging students to develop and extend the concepts, while encouraging critical thinking and providing an excellent opportunity to stimulate class discussions that foster collaborative learning among students

Table of Contents:
Preface ?á Review of Basic Algebra - A Preliminary Chapter Real Numbers Polynomials Factor Polynomials Rational Expressions Integer Exponents Radicals and Rational Exponents Operations on Radical Expressions Complex Numbers Cumulative Review Problem Set ?á Chapter 1: Mathematical Models and Coordinate Geometry Linear Equations and Mathematical Modeling Nonlinear Equations Inequalities The Cartesian Coordinate System Circles and Lines Chapter 1 Review Problem Set Chapter 1 Test Chapter 2: Functions and Graphs The Function Concept Graphs of Functions Graph Features Transformations of Graphs Combinations of Functions Chapter 2 Review Problem Set Chapter 2 Test Chapter 3: Polynomial and Rational Functions Quadratic Functions Polynomial Functions of Higher Degree Polynomials and Their Division Properties Rational Zeros Irrational and Complex Zeros of Polynomial Functions Rational Functions Chapter 3 Review Problem Set Chapter 3 Test Chapter 4: Exponential and Logarithmic Functions Inverse Functions Exponential Functions The Natural Base - Base eLogarithmic Functions Properties of Logarithms Additional Equations and Inequalities Chapter 4 Review Problem Set Chapter 4 Test Chapter 5: Trigonometric Functions Angles and Arcs of Circles Trigonometric Functions of Acute Angles and Modeling with Right Triangles Trigonometric Functions of General Angles and Real Numbers Properties of Trigonometric Functions Graphs of Sine and Cosine Functions Graphs of Other Trigonometric Functions Inverse Trigonometric Functions Chapter 5 Review Problem Set Chapter 5 Test Chapter 6: Trigonometric Identities and Equations Fundamental Identities Addition and Subtraction Identities Double-Angle and Half-Angle Identities Trigonometric Equations Other Identities Chapter 6 Review Problem Set Chapter 6 Test Chapter 7: Additional Applications of Trigonometry The Law of Cosines and the Law of Sines Introduction to Polar Coordinates Vectors in the Plane Trigonometric Forms of Complex Numbers Chapter 7 Review Problem Set Chapter 7 Test Chapter 8: Systems of Equations and Inequalities Solutions of Linear Systems by Substitution and Elimination Solutions of Linear Systems Using Augmented Matrices Solutions of Linear Systems Using Inverse Matrices Solutions of Linear Systems Using Determinants Solutions of Linear Systems of Inequalities and Linear Programming Solutions of Nonlinear Systems of Equations and Inequalities Chapter 8 Review Problem Set Chapter 8 Test Chapter 9: Topics in Analytic Geometry Parabolas Ellipses Hyperbolas Eccentricity and Polar Equation Forms for Conics Rotation of Axes Parametric Equations Chapter 9 Review Problem Set Chapter 9 Test Chapter 10: Topics in Discrete Mathematics Sequences and Summation Notation Arithmetic Sequences Geometric Sequences and Series Mathematical Induction The Binomial Theorem Chapter 10 Review Problem Set Chapter 10 Test Appendix 1: Plane Geometry Review Appendix 2: Answers to Selected Problems Index<


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Product Details
  • ISBN-13: 9780757521232
  • Binding: Other printed item
  • Language: English
  • Sub Title: Functions and Graphs
  • ISBN-10: 0757521231
  • Edition: New edition
  • No of Pages: 277


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