Description
McGraw-Hill Precalculus A Graphing Approach 2000 Edition by Raymond A. Barnett, Michael Ziegler, Karl Byleen
Mathematical Reform Is The Driving Force Behind The Organization And Development Of This New Precalculus Text. The Use Of Technology, Primarily Graphing Utilities, Is Assumed Throughout The Text. The Development Of Each Topic Proceeds From The Concrete To The Abstract And Takes Full Advantage Of Technology, Wherever Appropriate. The First Major Objective Of This Book Is To Encourage Students To Investigate Mathematical Ideas And Processes Graphically And Numerically, As Well As Algebraically. Proceeding In This Way, Students Gain A Broader, Deeper, And More Useful Understanding Of A Concept Or Process. Even Though Concept Development And Technology Are Emphasized, Manipulative Skills Are Not Ignored, And Plenty Of Opportunities To Practice Basic Skills Are Present. A Brief Look At The Table Of Contents Will Reveal The Importance Of The Function Concept As A Unifying Theme. The Second Major Objective Of This Book Is The Development Of A Library Of Elementary Functions, Including Their Important Properties And Uses.Having This Library Of Elementary Functions As A Basic Working Tool In Their Mathematical Tool Boxes, Students Will Be Able To Move Into Calculus With Greater Confidence And Understanding. In Addition, A Concise Review Of Basic Algebraic Concepts Is Included In Appendix A For Easy Reference, Or Systematic Review. The Third Major Objective Of This Book Is To Give The Student Substantial Experience In Solving And Modeling Real World Problems. Enough Applications Are Included To Convince Even The Most Skeptical Student That Mathematics Is Really Useful. Most Of The Applications Are Simplified Versions Of Actual Real-World Problems Taken From Professional Journals And Professional Books. No Specialized Experience Is Required To Solve Any Of The Applications. Table Of Contents : - Chapter 1 Functions And Graphs 1-1 Cartesian Coordinate System 1-2 Using Graphing Utilities 1-3 Functions 1-4 Functions: Graphs And Properties 1-5 Functions: Graphs And Transformations Chapter 1 Group Activity: Introduction To Regression Analysis Chapter 1 Review Chapter 2 Linear And Quadratic Functions 2-1 Linear Functions 2-2 Linear Equations And Inequalities 2-3 Quadratic Functions 2-4 Complex Numbers 2-5 Quadratic Equations And Inequalities 2-6 Additional Equation Solving Techniques Chapter 2 Group Activity: Mathematical Modeling In Population Studies Chapter 2 Review Cumulative Review Exercises For Chapters 1 And 2 Chapter 3 Polynomial And Rational Functions 3-1 Polynomial Functions 3-2 Finding Rational Zeros Of Polynomials 3-3 Approximating Real Zeros Of Polynomials 3-4 Rational Functions Chapter 3 Group Activity: Interpolating Polynomials Chapter 3 Review Chapter 4 Inverse Functions; Exponential And Logarithmic Functions 4-1 Operations On Functions; Composition 4-2 Inverse Functions 4-3 Exponential Functions 4-4 The Exponential Function With Base E 4-5 Logarithmic Functions 4-6 Common And Natural Logarithms 4-7 Exponential And Logarithmic Equations Chapter 4 Group Activity: Comparing Regression Models Chapter 4 Review Cumulative Review Exercise For Chapters 3 And 4 Chapter 5 Trigonometric Functions 5-1 The Wrapping Function 5-2 Circular Functions 5-3 Angles And Their Measure 5-4 Trigonometric Functions 5-5 Solving Right Triangles 5-6 Graphing Basic Trigonometric Functions 5-7 Graphing Y = K + A Sin (Bx + C) And Y = K + A Cos(Bx + C) 5-8 Graphing More General Tangent, Cotangent, Secant, And Cosecant Functions 5-9 Inverse Trigonometric Functions Chapter 5 Group Activity: A Predator-Prey Analysis Involving Mountain Lions And Deer Chapter 5 Review Chapter 6 Trigonometric Identities And Conditional Equations 6-1 Basic Identities And Their Use 6-2 Sum, Difference, And Cofunction Identities 6-3 Double-Angle And Half-Angle Identities 6-4 Product-Sum And Sum-Product Identities 6-5 Trigonometric Equations Chapter 6 Group Activity: From M Sin Bt + N Cos Bt To A Sin (Bt + C)--A Harmonic Analysis Tool Chapter 6 Review Chapter 7 Additional Topics In Trigonometry 7-1 Law Of Sines 7-2 Law Of Cosines 7-3 Geometric Vectors 7-4 Algebraic Vectors 7-5 Polar Coordinates And Graphs 7-6 Complex Numbers In Rectangular And Polar Forms 7-7 De Moivre'S Theorem Chapter 7 Group Activity: Conic Sections And Planetary Orbits Chapter 7 Review Cumulative Review Exercise For Chapters 5-7 Chapter 8 Systems; Matrices 8-1 Systems Of Linear Equations In Two Variables 8-2 Systems Of Linear Equations And Augmented Matrices 8-3 Gauss-Jordan Elimination 8-4 Matrix Operations 8-5 Inverse Of A Square Matrix 8-6 Matrix Equations And Systems Of Linear Equations 8-7 Systems Of Linear Inequalities 8-8 Linear Programming Chapter 8 Group Activity: Modeling With Systems Of Linear Equations Chapter 8 Review Chapter 9 Sequences, Series, And Probability 9-1 Sequences And Series 9-2 Mathematical Induction 9-3 Arithmetic And Geometric Sequences 9-4 Multiplication Principle, Permutations, And Combinations 9-5 Sample Spaces And Probability 9-6 Binomial Formula Chapter 9 Group Activity: Sequences Specified By Recursion Formulas Chapter 9 Review 10 Additional Topics In Analytic Geometry 10-1 Conic Sections; Parabola 10-2 Ellipse 10-3 Hyperbola 10-4 Translation Of Axes 10-5 Parametric Equations Chapter 10 Group Activity: Focal Chords Chapter 10 Review Cumulative Review Exercise For Chapters 8, 9, And 10 Appendix A Basic Algebra Review A-1 Algebra And Real Numbers A-2 Polynomials: Basic Operations A-3 Polynomials: Factoring A-4 Rational Expressions: Basic Operations A-5 Integer Exponents A-6 Rational Exponents A-7 Radicals A-8 Linear Equations And Inequalities Appendix A Group Activity: Rational Number Representations Appendix A Review Appendix B Partial Fractions Appendix C Significant Digits Appendix D Geometric Formulas Answers Applications Index Subject Index