Calculus

by Robert Reed

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The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.

Description from LibreTexts.

Publisher
Mission College
Subjects
Mathematics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Table of Contents
  2. Licensing
  3. InfoPage
  4. Licensing
  5. Table of Contents
  6. TitlePage
  7. 5: Integration
  8. 5.0: Prelude to Integration
  9. 5.1: Approximating Areas
  10. 5.1E: Exercises for Section 5.1
  11. 5.2: The Definite Integral
  12. 5.2E: Exercises for Section 5.2
  13. 5.3: The Fundamental Theorem of Calculus
  14. 5.3E: Exercises for Section 5.3
  15. 5.4: Integration Formulas and the Net Change Theorem
  16. 5.4E: Exercises for Section 5.4
  17. 5.5: Substitution
  18. 5.5E: Exercises for Section 5.5
  19. 5.6: Integrals Involving Exponential and Logarithmic Functions
  20. 5.6E: Exercises for Section 5.6
  21. 5.7: Integrals Resulting in Inverse Trigonometric Functions
  22. 5.7E: Exercises for Section 5.7
  23. 5.8: Calculus of the Hyperbolic Functions
  24. 5.8E: Exercises for Section 5.8
  25. 5.9: Chapter 5 Review Exercises
  26. 6: Introduction to Differential Equations
  27. 6.0: Prelude to Differential Equations
  28. 6.1: Basics of Differential Equations
  29. 6.1E: Exercises for Section 6.1
  30. 6.2: Direction Fields and Numerical Methods
  31. 6.2E: Exercises for Section 6.2
  32. 6.3: Separable Equations
  33. 6.3E: Exercises for Section 6.3
  34. 6.4: The Logistic Equation
  35. 6.4E: Exercises for Section 6.4
  36. 6.5: First-order Linear Equations
  37. 6.5E: Exercises for Section 6.5
  38. 6.6: Chapter 6 Review Exercises
  39. 7: Applications of Integration
  40. 7.0: Prelude to Applications of Integration
  41. 7.1: Areas between Curves
  42. 7.1E: Exercises for Section 7.1
  43. 7.2: Determining Volumes by Slicing
  44. 7.2E: Exercises for Section 7.2
  45. 7.3: Volumes of Revolution - Cylindrical Shells
  46. 7.3E: Exercises for Section 7.3
  47. 7.4: Arc Length of a Curve and Surface Area
  48. 7.4E: Exercises for Section 7.4
  49. 7.5: Physical Applications of Integration
  50. 7.5E: Exercises for Section 7.5
  51. 7.6: Moments and Centers of Mass
  52. 7.6E: Exercises for Section 7.6
  53. 7.7: Integrals, Exponential Functions, and Logarithms
  54. 7.7E: Exercises for Section 7.7
  55. 7.8: Exponential Growth and Decay
  56. 7.8E: Exercises for Section 7.8
  57. 7.9: Chapter 6 Review Exercises
  58. 8: Techniques of Integration
  59. 8.0: Prelude to Techniques of Integration
  60. 8.1: Integration by Parts
  61. 8.1E: Exercises for Section 8.1
  62. 8.2: Trigonometric Integrals
  63. 8.2E: Exercises for Section 8.2
  64. 8.3: Trigonometric Substitution
  65. 8.3E: Exercises for Section 8.3
  66. 8.4: Partial Fractions
  67. 8.4E: Exercises for Section 8.4
  68. 8.5: Other Strategies for Integration
  69. 8.5E: Exercises for Section 8.5
  70. 8.6: Numerical Integration
  71. 8.6E: Exercises for Section 8.6
  72. 8.7: Improper Integrals
  73. 8.7E: Exercises for Section 8.7
  74. 8.8: Chapter 8 Review Exercises
  75. 9: Sequences and Series
  76. 9.0: Prelude to Sequence and Series
  77. 9.1: Sequences
  78. 9.1E: Exercises for Section 9.1
  79. 9.2: Infinite Series
  80. 9.2E: Exercises for Section 9.2
  81. 9.3: The Divergence and Integral Tests
  82. 9.3E: Exercises for Section 9.3
  83. 9.4: Comparison Tests
  84. 9.4E: Exercises for Section 9.4
  85. 9.5: Alternating Series
  86. 9.5E: Exercises for Section 9.5
  87. 9.6: Ratio and Root Tests
  88. 9.6E: Exercises for Section 9.6
  89. 9.7: Chapter 9 Review Exercises
  90. 9.8: Power Series
  91. 10: Power Series
  92. 10.0: Prelude to Power Series
  93. 10.1: Power Series and Functions
  94. 10.1E: Exercises for Section 10.1
  95. 10.2: Properties of Power Series
  96. 10.2E: Exercises for Section 10.2
  97. 10.3: Taylor and Maclaurin Series
  98. 10.3E: Exercises for Section 10.3
  99. 10.4: Working with Taylor Series
  100. 10.4E: Exercises for Section 10.4
  101. 10.5: Chapter 10 Review Exercises
  102. 11: Parametric Equations and Polar Coordinates
  103. 11.0: Prelude to Parametric Equations and Polar Coordinates
  104. 11.1: Conic Sections
  105. 11.1E: Exercises for Section 11.1
  106. 11.2: Parametric Equations
  107. 11.2E: Exercises for Section 11.2
  108. 11.3: Calculus of Parametric Curves
  109. 11.3E: Exercises for Section 11.3
  110. 11.4: Polar Coordinates
  111. 11.4E: Exercises for Section 11.4
  112. 11.5: Area and Arc Length in Polar Coordinates
  113. 11.5E: Exercises for Section 11.5
  114. 11.6: Chapter 11 Review Exercises
  115. Appendices
  116. A: Table of Derivatives
  117. B: Table of Integrals
  118. Back Matter
  119. Detailed Licensing
  120. Index
  121. Glossary
  122. Detailed Licensing