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Precalculus functions and graphs Raymond A. Barnett, Michael Ziegler, Karl E. Byleen.

Por: Colaborador(es): Series Barnett, Raymond A. Barnett, Ziegler & Byleen's precalculus series ; Detalles de publicación: Boston McGraw Hill 2001.Edición: 5th edDescripción: xxiv, 837 p. ill. 27 cm. + 1 CD-ROM (4 3/4 in.)ISBN:
  • 0072368713 (acid-free paper)
Tema(s): Clasificación CDD:
  • 512.1 B2617p5 21
Clasificación LoC:
  • QA331.3 .B38 2001
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Includes indexes.

Tabla de contenidos provista por Syndetics

  • Preface(p. ix)
  • Chapter Dependencies(p. xx)
  • To the Student(p. xxiv)
  • Chapter 1 Equations and Inequalities(p. 1)
  • 1-1 Linear Equations and Applications(p. 2)
  • 1-2 Systems of Linear Equations and Applications(p. 17)
  • 1-3 Linear Inequalities(p. 26)
  • 1-4 Absolute Value in Equations and Inequalities(p. 37)
  • 1-5 Complex Numbers(p. 47)
  • 1-6 Quadratic Equations and Applications(p. 58)
  • 1-7 Equations Reducible to Quadratic Form(p. 73)
  • 1-8 Polynomial and Rational Inequalities(p. 81)
  • Chapter 1 Group Activity: Rates of Change(p. 90)
  • Chapter 1 Review(p. 91)
  • Chapter 2 Graphs and Functions(p. 97)
  • 2-1 Basic Tools; Circles(p. 98)
  • 2-2 Straight Lines(p. 115)
  • 2-3 Functions(p. 131)
  • 2-4 Graphing Functions(p. 147)
  • 2-5 Combining Functions(p. 165)
  • 2-6 Inverse Functions(p. 182)
  • Chapter 2 Group Activity: Mathematical Modeling in Business(p. 198)
  • Chapter 2 Review(p. 200)
  • 1 and 2 Cumulative Review Exercise(p. 207)
  • Chapter 3 Polynomial and Rational Functions(p. 211)
  • 3-1 Polynomial Functions and Graphs(p. 213)
  • 3-2 Finding Rational Zeros of Polynomials(p. 225)
  • 3-3 Approximating Real Zeros of Polynomials(p. 238)
  • 3-4 Rational Functions(p. 250)
  • 3-5 Partial Fractions(p. 265)
  • Chapter 3 Group Activity: Interpolating Polynomials(p. 273)
  • Chapter 3 Review(p. 275)
  • Chapter 4 Exponential and Logarithmic Functions(p. 281)
  • 4-1 Exponential Functions(p. 282)
  • 4-2 The Exponential Function with Base e(p. 293)
  • 4-3 Logarithmic Functions(p. 304)
  • 4-4 Common and Natural Logarithms(p. 313)
  • 4-5 Exponential and Logarithmic Equations(p. 323)
  • Chapter 4 Group Activity: Growth of Increasing Functions(p. 333)
  • Chapter 4 Review(p. 333)
  • 3 and 4 Cumulative Review Exercise(p. 336)
  • Chapter 5 Trigonometric Functions(p. 339)
  • 5-1 The Wrapping Function(p. 340)
  • 5-2 Circular Functions(p. 348)
  • 5-3 Angles and Their Measure(p. 357)
  • 5-4 Trigonometric Functions(p. 366)
  • 5-5 Solving Right Triangles(p. 383)
  • 5-6 Graphing Basic Trigonometric Functions(p. 391)
  • 5-7 Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C)(p. 403)
  • 5-8 Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions(p. 419)
  • 5-9 Inverse Trigonometric Functions(p. 427)
  • Chapter 5 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer(p. 440)
  • Chapter 5 Review(p. 441)
  • Chapter 6 Trigonometric Identities and Conditional Equations(p. 451)
  • 6-1 Basic Identities and Their Use(p. 452)
  • 6-2 Sum, Difference, and Cofunction Identities(p. 461)
  • 6-3 Double-Angle and Half-Angle Identities(p. 471)
  • 6-4 Product-Sum and Sum-Product Identities(p. 480)
  • 6-5 Trigonometric Equations(p. 485)
  • Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)--A Harmonic Analysis Tool(p. 497)
  • Chapter 6 Review(p. 499)
  • Chapter 7 Additional Topics in Trigonometry(p. 505)
  • 7-1 Law of Sines(p. 506)
  • 7-2 Law of Cosines(p. 516)
  • 7-3 Geometric Vectors(p. 524)
  • 7-4 Algebraic Vectors(p. 531)
  • 7-5 Polar Coordinates and Graphs(p. 541)
  • 7-6 Complex Numbers in Rectangular and Polar Forms(p. 555)
  • 7-7 De Moivre's Theorem(p. 563)
  • Chapter 7 Group Activity: Conic Sections and Planetary Orbits(p. 569)
  • Chapter 7 Review(p. 572)
  • 5, 6, and 7 Cumulative Review Exercise(p. 579)
  • Chapter 8 Systems of Equations and Inequalities(p. 585)
  • 8-1 Systems of Linear Equations and Augmented Matrices(p. 586)
  • 8-2 Gauss--Jordan Elimination(p. 604)
  • 8-3 Systems Involving Second-Degree Equations(p. 618)
  • 8-4 Systems of Linear Inequalities in Two Variables(p. 627)
  • 8-5 Linear Programming(p. 640)
  • Chapter 8 Group Activity: Modeling with Systems of Equations(p. 651)
  • Chapter 8 Review(p. 653)
  • Chapter 9 Matrices and Determinants(p. 659)
  • 9-1 Matrices: Basic Operations(p. 660)
  • 9-2 Inverse of a Square Matrix(p. 674)
  • 9-3 Matrix Equations and Systems of Linear Equations(p. 684)
  • 9-4 Determinants(p. 694)
  • 9-5 Properties of Determinants(p. 702)
  • 9-6 Cramer's Rule(p. 709)
  • Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit(p. 714)
  • Chapter 9 Review(p. 715)
  • 8 and 9 Cumulative Review Exercise(p. 720)
  • Chapter 10 Sequences and Series(p. 723)
  • 10-1 Sequences and Series(p. 724)
  • 10-2 Mathematical Induction(p. 732)
  • 10-3 Arithmetic and Geometric Sequences(p. 740)
  • 10-4 Binomial Formula(p. 753)
  • 10-5 Multiplication Principle, Permutations, and Combinations(p. 761)
  • Chapter 10 Group Activity: Sequences Specified by Recursion Formulas(p. 773)
  • Chapter 10 Review(p. 773)
  • Chapter 11 Additional Topics in Analytic Geometry(p. 777)
  • 11-1 Conic Sections; Parabola(p. 778)
  • 11-2 Ellipse(p. 788)
  • 11-3 Hyperbola(p. 799)
  • 11-4 Translation of Axes(p. 811)
  • 11-5 Parametric Equations(p. 821)
  • Chapter 11 Group Activity: Focal Chords(p. 828)
  • Chapter 11 Review(p. 829)
  • 10 and 11 Cumulative Review Exercise(p. 835)
  • Appendix A Basic Algebraic Operations(p. 1)
  • A-1 Algebra and Real Numbers(p. 2)
  • A-2 Polynomials: Basic Operations(p. 12)
  • A-3 Polynomials: Factoring(p. 23)
  • A-4 Rational Expressions: Basic Operations(p. 33)
  • A-5 Integer Exponents(p. 42)
  • A-6 Rational Exponents(p. 51)
  • A-7 Radicals(p. 57)
  • Appendix A Group Activity: Rational Number Representations(p. 67)
  • Appendix A Review(p. 67)
  • Appendix B Significant Digits(p. 73)
  • Appendix C Geometric Formulas(p. 76)
  • Answers(p. 79)
  • Applications Index(p. 1)
  • Subject Index(p. 3)
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