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A Graphical Approach to Precalculus with Limits: A Unit Circle Approach

A Graphical Approach to Precalculus with Limits: A Unit Circle Approach

          
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About the Book

This edition has evolved to address the needs of today's student. While maintaining its unique table of contents and functions-based approach, the text now includes additional components to build skill, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions.  It continues to incorporate an open design, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids to provide new and relevant opportunities for learning and teaching.

Table of Contents:
Chapter 1  Linear Functions, Equations, and Inequalities  1.1  Real Numbers and the Rectangular Coordinate System 1.2  Introduction to Relations and Functions 1.3  Linear Functions 1.4  Equations of Lines and Linear Models 1.5  Linear Equations and Inequalities 1.6  Applications of Linear Functions    Chapter 2  Analysis of Graphs of Functions 2.1  Graphs of Basic Functions and Relations; Symmetry 2.2  Vertical and Horizontal Shifts of Graphs           2.3  Stretching, Shrinking, and Reflecting Graphs 2.4  Absolute Value Functions:  Graphs, Equations, Inequalities, and Applications 2.5  Piecewise-Defined Functions 2.6  Operations and Composition    Chapter 3  Polynomial Functions 3.1  Complex Numbers 3.2  Quadratic Functions and Graphs 3.3  Quadratic Equations and Inequalities 3.4  Further Applications of Quadratic Functions and Models 3.5  Higher-Degree Polynomial Functions and Graphs 3.6  Topics in the Theory of Polynomial Functions (I) 3.7  Topics in the Theory of Polynomial Functions (II) 3.8  Polynomial Equations and Inequalities;  Further Applications and Models   Chapter 4  Rational, Power, and Root Functions 4.1  Rational Functions and Graphs 4.2  More on Graphs of Rational Functions 4.3  Rational Equations, Inequalities, Applications, and Models 4.4  Functions Defined by Powers and Roots 4.5  Equations, Inequalities, and Applications Involving Root Functions    Chapter 5  Inverse, Exponential, and Logarithmic Functions 5.1  Inverse Functions 5.2  Exponential Functions 5.3  Logarithms and Their Properties 5.4  Logarithmic Functions 5.5  Exponential and Logarithmic Equations and Inequalities 5.6  Further Applications and Modeling with Exponential and Logarithmic Functions    Chapter 6  Analytic Geometry 6.1  Circles and Parabolas 6.2  Ellipses and Hyperbolas 6.3  Summary of Conic Sections 6.4  Parametric Equations     Chapter 7  Systems of Equations and Inequalities; Matrices 7.1  Systems of Equations 7.2  Solution of Linear Systems in Three Variables 7.3  Solution of Linear Systems by Row Transformations 7.4  Matrix Properties and Operations 7.5  Determinants and Cramer’s Rule 7.6  Solution of Linear Systems by Matrix Inverses 7.7  Systems of Inequalities and Linear Programming 7.8  Partial Fractions   Chapter 8  Trigonometric Functions and Applications 8.1  Angles and Arcs 8.2  The Unit Circle 8.3  Graphs of the Sine and Cosine Functions 8.4  Graphs of the Other Circular Functions 8.5  Functions of Angles and Fundamental Identities 8.6  Evaluating Trigonometry Functions 8.7  Applications of Right Triangles 8.8  Harmonic Motion   Chapter 9  Trigonometric Identities and Equations 9.1  Trigonometric Identities 9.2  Sum and Difference Identities 9.3  Further Identities 9.4  The Inverse Circular Functions 9.5  Trigonometric Equations and Inequalities (I) 9.6  Trigonometric Equations and Inequalities (II)   Chapter 10  Applications of Trigonometry; Vectors 10.1  The Law of Sines 10.2  The Law of Cosines and Area Formulas 10.3  Vectors and Their Applications 10.4  Trigonometric (Polar) Form of Complex Numbers 10.5  Powers and Roots of Complex Numbers 10.6  Polar Equations and Graphs 10.7  More Parametric Equations   Chapter 11  Further Topics in Algebra 11.1  Sequences and Series 11.2  Arithmetric Sequences and Series 11.3  Geometric Sequences and Series 11.4  The Binomial Theorem 11.5  Mathematical Induction 11.6  Counting Theory 11.7  Probability   Chapter 12  Limits, Derivatives, and Definite Integrals 12.1    An Introduction to Limits 12.2    Techniques for Calculating Limits 12.3    One-Sided Limits; Limits Involving Infinity 12.4    Tangent Lines and Derivatives 12.5    Area and the Definite Integral   Chapter R  Reference:  Basic Algebraic Concepts R.1  Review of Exponents and Polynomials R.2  Review of Factoring R.3  Review of Rational Expressions R.4  Review of Negative and Rational Exponents R.5  Review of Radicals   Appendix A  Geometry Formulas Appendix B  Deciding Which Model Best Fits a Set of Data  


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Product Details
  • ISBN-13: 9780321356963
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Edition: 4 Rev ed
  • Language: English
  • Returnable: Y
  • Spine Width: 42 mm
  • Weight: 2341 gr
  • ISBN-10: 0321356969
  • Publisher Date: 11 May 2006
  • Binding: Hardback
  • Height: 264 mm
  • No of Pages: 1152
  • Series Title: English
  • Sub Title: A Unit Circle Approach
  • Width: 224 mm


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