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Precalculus Essentials

Precalculus Essentials


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About the Book

Table of Contents:
Precalculus Essentials 7e   Contents             The Essentials Edition xiii             Preface to the Instructor xv             List of Applications xxi             Photo Credits xxv Chapter 1 Graphs 1 1.1   Rectangular Coordinates 2 1.2   Graph of Equations; Circles 9 1.3   Lines 22 1.4   Scatter Diagrams; Linear Curve Fitting 38 Chapter Review 45 Chapter Projects 48 Chapter 2 Functions and Their Graphs 49             2.1 Functions 50             2.2 The Graph of a Function 63             2.3 Properties of Functions 72             2.4 Library of Functions; Piecewise-defined Functions 83             2.5 Graphing Techniques: Transformations 94             2.6 Mathematical Models: Constructing Functions 107                         Chapter Review 115                         Chapter Projects 121                         Cumulative Review 122 Chapter 3 Polynomial and Rational Functions 123             3.1 Quadratic Functions and Models 124             3.2 Polynomial Functions 144             3.3 Rational Functions I 162             3.4 Rational Functions II: Analyzing Graphs 173             3.5 Polynomial and Rational Inequalities 188             3.6 The Real Zeros of a Polynomial Function 194             3.7 Complex Zeros; Fundamental Theorem of Algebra 209                         Chapter Review 215                         Chapter Projects 220                         Cumulative Review 221 Chapter 4 Exponential and Logarithmic Functions 223             4.1 Composite Functions 224             4.2 Inverse Functions 231             4.3 Exponential Functions 244             4.4 Logarithmic Functions 260             4.5 Properties of Logarithms 273             4.6 Logarithmic and Exponential Equations 282             4.7 Compound Interest 287             4.8 Exponential Growth and Decay; Newton’s Law; Logistic Models 297             4.9 Fitting Data to Exponential, Logarithmic, and Logistic Functions 306                         Chapter Review 314                         Chapter Projects 320                         Cumulative Review 321 Chapter 5 Trigonometric Functions 323             5.1 Angles and Their Measure 324             5.2 Trigonometric Functions: Unit Circle Approach 338             5.3 Properties of the Trigonometric Functions 355             5.4 Graphs of the Sine and Cosine Functions 369             5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 386             5.6 Phase Shift; Sinusoidal Curve Fitting 393                         Chapter Review 405                         Chapter Projects 411                         Cumulative Review 412 Chapter 6 Analytical Trigonometry 413             6.1 The Inverse Sine, Cosine, and Tangent Functions 414             6.2 The Inverse Trigonometric Functions (continued) 425             6.3 Trigonometric Identities 430             6.4 Sum and Difference Formulas 437             6.5 Double-angle and Half-angle Formulas 448             6.6 Product-to-Sum and Sum-to-Product Formulas 457             6.7 Trigonometric Equations I 461             6.8 Trigonometric Equations II 467                         Chapter Review 475                         Chapter Projects 479                         Cumulative Review 480 Chapter 7 Applications of Trigonometric Functions 481             7.1 Right Triangle Trigonometry; Applications 482             7.2 The Law of Sines 494             7.3 The Law of Cosines 507 Chapter 8 Polar Coordinates; Vectors 515             8.1 Polar Coordinates 516             8.2 Polar Equations and Graphs 525 Chapter 9 Analytical Geometry 543             9.7 Plane Curves and Parametric Equations 544  Chapter 10 Systems of Equations and Inequalities 559             10.1 Systems of Linear Equations: Substitution and Elimination 560 Chapter 11 Sequences; Induction; The Binomial Theorem 577             11.1 Sequences 578             11.2 Arithmetic Sequences 587             11.3 Geometric Sequences; Geometric Series 593            Appendix A Review 611          A.1 Algebra Review 611             A.2 Geometry Review 621             A.3 Polynomials and Rational Expressions 626             A.4 Polynomial Division; Synthetic Division 637             A.5 Solving Equations 644             A.6 Complex Numbers; Quadratic Equations in the Complex Number System 655             A.7 Setting Up Equations: Applications 664             A.8 Interval Notation; Solving Inequalities 676             A.9 nth Roots; Rational Exponents; Radical Equations 685 Appendix B Graphing Utilities 693             B.1 The Viewing Rectangle 693             B.2 Using a Graphing Utility to Graph Equations 695             B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry 699             B.4 Using a Graphing Utility to Solve Equations 701             B.5 Square Screens 703             B.8 Using a Graphing Utility to Graph a Polar Equations 705             B.9 Using a Graphing Utility to Graph Parametric Equations 706               Answers A1               Index I1    

About the Author :
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 30 years. He is a native of Chicago’s South Side and currently resides in Oaklawn.  Mike has four children.  The two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project.  Mike III co-authored the Sullivan Graphing with Data Analysis series as well as this series.  Dan, the youngest, sells for Prentice Hall as a generalist.   Mike has authored or co-authored over ten books.  He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oaklawn, where Mike enjoys gardening.  Mike first signed this series with Deleen Publishing (Acquired by Macmillan) in 1985.  


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Product Details
  • ISBN-13: 9780131469839
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Language: English
  • Spine Width: 31 mm
  • Width: 261 mm
  • ISBN-10: 0131469835
  • Publisher Date: 02 Sep 2004
  • Binding: Hardback
  • No of Pages: 832
  • Weight: 1640 gr


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