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Calculus.out
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Calculus.out
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\BOOKMARK [0][-]{Doc-Start}{Table\040of\040Contents}{}% 1
\BOOKMARK [0][-]{section*.2}{Preface}{}% 2
\BOOKMARK [0][-]{chapter.1}{1\040Limits}{}% 3
\BOOKMARK [1][-]{section.1.1}{1.1\040An\040Introduction\040To\040Limits}{chapter.1}% 4
\BOOKMARK [1][-]{section.1.2}{1.2\040Epsilon-Delta\040Definition\040of\040a\040Limit}{chapter.1}% 5
\BOOKMARK [1][-]{section.1.3}{1.3\040Finding\040Limits\040Analytically}{chapter.1}% 6
\BOOKMARK [1][-]{section.1.4}{1.4\040One\040Sided\040Limits}{chapter.1}% 7
\BOOKMARK [1][-]{section.1.5}{1.5\040Continuity}{chapter.1}% 8
\BOOKMARK [1][-]{section.1.6}{1.6\040Limits\040Involving\040Infinity}{chapter.1}% 9
\BOOKMARK [0][-]{chapter.2}{2\040Derivatives}{}% 10
\BOOKMARK [1][-]{section.2.1}{2.1\040Instantaneous\040Rates\040of\040Change:\040The\040Derivative}{chapter.2}% 11
\BOOKMARK [1][-]{section.2.2}{2.2\040Interpretations\040of\040the\040Derivative}{chapter.2}% 12
\BOOKMARK [1][-]{section.2.3}{2.3\040Basic\040Differentiation\040Rules}{chapter.2}% 13
\BOOKMARK [1][-]{section.2.4}{2.4\040The\040Product\040and\040Quotient\040Rules}{chapter.2}% 14
\BOOKMARK [1][-]{section.2.5}{2.5\040The\040Chain\040Rule}{chapter.2}% 15
\BOOKMARK [1][-]{section.2.6}{2.6\040Implicit\040Differentiation}{chapter.2}% 16
\BOOKMARK [1][-]{section.2.7}{2.7\040Derivatives\040of\040Inverse\040Functions}{chapter.2}% 17
\BOOKMARK [0][-]{chapter.3}{3\040The\040Graphical\040Behavior\040of\040Functions}{}% 18
\BOOKMARK [1][-]{section.3.1}{3.1\040Extreme\040Values}{chapter.3}% 19
\BOOKMARK [1][-]{section.3.2}{3.2\040The\040Mean\040Value\040Theorem}{chapter.3}% 20
\BOOKMARK [1][-]{section.3.3}{3.3\040Increasing\040and\040Decreasing\040Functions}{chapter.3}% 21
\BOOKMARK [1][-]{section.3.4}{3.4\040Concavity\040and\040the\040Second\040Derivative}{chapter.3}% 22
\BOOKMARK [1][-]{section.3.5}{3.5\040Curve\040Sketching}{chapter.3}% 23
\BOOKMARK [0][-]{chapter.4}{4\040Applications\040of\040the\040Derivative}{}% 24
\BOOKMARK [1][-]{section.4.1}{4.1\040Newton's\040Method}{chapter.4}% 25
\BOOKMARK [1][-]{section.4.2}{4.2\040Related\040Rates}{chapter.4}% 26
\BOOKMARK [1][-]{section.4.3}{4.3\040Optimization}{chapter.4}% 27
\BOOKMARK [1][-]{section.4.4}{4.4\040Differentials}{chapter.4}% 28
\BOOKMARK [0][-]{chapter.5}{5\040Integration}{}% 29
\BOOKMARK [1][-]{section.5.1}{5.1\040Antiderivatives\040and\040Indefinite\040Integration}{chapter.5}% 30
\BOOKMARK [1][-]{section.5.2}{5.2\040The\040Definite\040Integral}{chapter.5}% 31
\BOOKMARK [1][-]{section.5.3}{5.3\040Riemann\040Sums}{chapter.5}% 32
\BOOKMARK [1][-]{section.5.4}{5.4\040The\040Fundamental\040Theorem\040of\040Calculus}{chapter.5}% 33
\BOOKMARK [1][-]{section.5.5}{5.5\040Numerical\040Integration}{chapter.5}% 34
\BOOKMARK [0][-]{chapter.6}{6\040Techniques\040of\040Antidifferentiation}{}% 35
\BOOKMARK [1][-]{section.6.1}{6.1\040Substitution}{chapter.6}% 36
\BOOKMARK [1][-]{section.6.2}{6.2\040Integration\040by\040Parts}{chapter.6}% 37
\BOOKMARK [1][-]{section.6.3}{6.3\040Trigonometric\040Integrals}{chapter.6}% 38
\BOOKMARK [1][-]{section.6.4}{6.4\040Trigonometric\040Substitution}{chapter.6}% 39
\BOOKMARK [1][-]{section.6.5}{6.5\040Partial\040Fraction\040Decomposition}{chapter.6}% 40
\BOOKMARK [1][-]{section.6.6}{6.6\040Hyperbolic\040Functions}{chapter.6}% 41
\BOOKMARK [1][-]{section.6.7}{6.7 L'Hôpital's Rule}{chapter.6}% 42
\BOOKMARK [1][-]{section.6.8}{6.8\040Improper\040Integration}{chapter.6}% 43
\BOOKMARK [0][-]{chapter.7}{7\040Applications\040of\040Integration}{}% 44
\BOOKMARK [1][-]{section.7.1}{7.1\040Area\040Between\040Curves}{chapter.7}% 45
\BOOKMARK [1][-]{section.7.2}{7.2\040Volume\040by\040Cross-Sectional\040Area;\040Disk\040and\040Washer\040Methods}{chapter.7}% 46
\BOOKMARK [1][-]{section.7.3}{7.3\040The\040Shell\040Method}{chapter.7}% 47
\BOOKMARK [1][-]{section.7.4}{7.4\040Arc\040Length\040and\040Surface\040Area}{chapter.7}% 48
\BOOKMARK [1][-]{section.7.5}{7.5\040Work}{chapter.7}% 49
\BOOKMARK [1][-]{section.7.6}{7.6\040Fluid\040Forces}{chapter.7}% 50
\BOOKMARK [0][-]{chapter.8}{8\040Sequences\040and\040Series}{}% 51
\BOOKMARK [1][-]{section.8.1}{8.1\040Sequences}{chapter.8}% 52
\BOOKMARK [1][-]{section.8.2}{8.2\040Infinite\040Series}{chapter.8}% 53
\BOOKMARK [1][-]{section.8.3}{8.3\040Integral\040and\040Comparison\040Tests}{chapter.8}% 54
\BOOKMARK [1][-]{section.8.4}{8.4\040Ratio\040and\040Root\040Tests}{chapter.8}% 55
\BOOKMARK [1][-]{section.8.5}{8.5\040Alternating\040Series\040and\040Absolute\040Convergence}{chapter.8}% 56
\BOOKMARK [1][-]{section.8.6}{8.6\040Power\040Series}{chapter.8}% 57
\BOOKMARK [1][-]{section.8.7}{8.7\040Taylor\040Polynomials}{chapter.8}% 58
\BOOKMARK [1][-]{section.8.8}{8.8\040Taylor\040Series}{chapter.8}% 59
\BOOKMARK [0][-]{chapter.9}{9\040Curves\040in\040the\040Plane}{}% 60
\BOOKMARK [1][-]{section.9.1}{9.1\040Conic\040Sections}{chapter.9}% 61
\BOOKMARK [1][-]{section.9.2}{9.2\040Parametric\040Equations}{chapter.9}% 62
\BOOKMARK [1][-]{section.9.3}{9.3\040Calculus\040and\040Parametric\040Equations}{chapter.9}% 63
\BOOKMARK [1][-]{section.9.4}{9.4\040Introduction\040to\040Polar\040Coordinates}{chapter.9}% 64
\BOOKMARK [1][-]{section.9.5}{9.5\040Calculus\040and\040Polar\040Functions}{chapter.9}% 65
\BOOKMARK [0][-]{chapter.10}{10\040Vectors}{}% 66
\BOOKMARK [1][-]{section.10.1}{10.1\040Introduction\040to\040Cartesian\040Coordinates\040in\040Space}{chapter.10}% 67
\BOOKMARK [1][-]{section.10.2}{10.2\040An\040Introduction\040to\040Vectors}{chapter.10}% 68
\BOOKMARK [1][-]{section.10.3}{10.3\040The\040Dot\040Product}{chapter.10}% 69
\BOOKMARK [1][-]{section.10.4}{10.4\040The\040Cross\040Product}{chapter.10}% 70
\BOOKMARK [1][-]{section.10.5}{10.5\040Lines}{chapter.10}% 71
\BOOKMARK [1][-]{section.10.6}{10.6\040Planes}{chapter.10}% 72
\BOOKMARK [0][-]{chapter.11}{11\040Vector\040Valued\040Functions}{}% 73
\BOOKMARK [1][-]{section.11.1}{11.1 Vector–Valued Functions}{chapter.11}% 74
\BOOKMARK [1][-]{section.11.2}{11.2 Calculus and Vector–Valued Functions}{chapter.11}% 75
\BOOKMARK [1][-]{section.11.3}{11.3\040The\040Calculus\040of\040Motion}{chapter.11}% 76
\BOOKMARK [1][-]{section.11.4}{11.4\040Unit\040Tangent\040and\040Normal\040Vectors}{chapter.11}% 77
\BOOKMARK [1][-]{section.11.5}{11.5\040The\040Arc\040Length\040Parameter\040and\040Curvature}{chapter.11}% 78
\BOOKMARK [0][-]{chapter.12}{12\040Functions\040of\040Several\040Variables}{}% 79
\BOOKMARK [1][-]{section.12.1}{12.1\040Introduction\040to\040Multivariable\040Functions}{chapter.12}% 80
\BOOKMARK [1][-]{section.12.2}{12.2\040Limits\040and\040Continuity\040of\040Multivariable\040Functions}{chapter.12}% 81
\BOOKMARK [1][-]{section.12.3}{12.3\040Partial\040Derivatives}{chapter.12}% 82
\BOOKMARK [1][-]{section.12.4}{12.4\040Differentiability\040and\040the\040Total\040Differential}{chapter.12}% 83
\BOOKMARK [1][-]{section.12.5}{12.5\040The\040Multivariable\040Chain\040Rule}{chapter.12}% 84
\BOOKMARK [1][-]{section.12.6}{12.6\040Directional\040Derivatives}{chapter.12}% 85
\BOOKMARK [1][-]{section.12.7}{12.7\040Tangent\040Lines,\040Normal\040Lines,\040and\040Tangent\040Planes}{chapter.12}% 86
\BOOKMARK [1][-]{section.12.8}{12.8\040Extreme\040Values}{chapter.12}% 87
\BOOKMARK [0][-]{chapter.13}{13\040Multiple\040Integration}{}% 88
\BOOKMARK [1][-]{section.13.1}{13.1\040Iterated\040Integrals\040and\040Area}{chapter.13}% 89
\BOOKMARK [1][-]{section.13.2}{13.2\040Double\040Integration\040and\040Volume}{chapter.13}% 90
\BOOKMARK [1][-]{section.13.3}{13.3\040Double\040Integration\040with\040Polar\040Coordinates}{chapter.13}% 91
\BOOKMARK [1][-]{section.13.4}{13.4\040Center\040of\040Mass}{chapter.13}% 92
\BOOKMARK [1][-]{section.13.5}{13.5\040Surface\040Area}{chapter.13}% 93
\BOOKMARK [1][-]{section.13.6}{13.6\040Volume\040Between\040Surfaces\040and\040Triple\040Integration}{chapter.13}% 94
\BOOKMARK [0][-]{appendix.A}{A\040Solutions\040To\040Selected\040Problems}{}% 95
\BOOKMARK [0][-]{section*.506}{Index}{}% 96