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Math 3B: Calculus II v.2 (Sklar)

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Math 3B: Calculus II v.2 (Sklar)

Textbook for Math 3B, Calculus II at Mission College. This textbook is for Max Sklar's classes. Special thanks to Rob Reed for the updated exercises and answers throughout the book.

Mathematics
Author
Max Sklar
Publisher
Mission Colllege
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 115 sections
  1. 05: Integration
  2. 5.00: Prelude to Integration
  3. 5.01: Approximating Areas
  4. 5.1E: Exercises for Section 5.1
  5. 5.02: The Definite Integral
  6. 5.2E: Exercises for Section 5.2
  7. 5.03: The Fundamental Theorem of Calculus
  8. 5.3E: Exercises for Section 5.3
  9. 5.04: Integration Formulas and the Net Change Theorem
  10. 5.4E: Exercises for Section 5.4
  11. 5.05: Substitution
  12. 5.5E: Exercises for Section 5.5
  13. 5.06: Integrals Involving Exponential and Logarithmic Functions
  14. 5.6E: Exercises for Section 5.6
  15. 5.07: Integrals Resulting in Inverse Trigonometric Functions
  16. 5.7E: Exercises for Section 5.7
  17. 5.08: Calculus of the Hyperbolic Functions
  18. 5.8E: Exercises for Section 5.8
  19. 5.R: Chapter 5 Review Exercises
  20. 06: Introduction to Differential Equations
  21. 6.00: Prelude to Differential Equations
  22. 6.01: Basics of Differential Equations
  23. 6.1E: Exercises for Section 6.1
  24. 6.02: Direction Fields and Numerical Methods
  25. 6.2E: Exercises for Section 6.2
  26. 6.03: Separable Equations
  27. 6.3E: Exercises for Section 6.3
  28. 6.04: The Logistic Equation
  29. 6.4E: Exercises for Section 6.4
  30. 6.05: First-order Linear Equations
  31. 6.5E: Exercises for Section 6.5
  32. 6.R: Chapter 8 Review Exercises
  33. 07: Applications of Integration
  34. 7.00: Prelude to Applications of Integration
  35. 7.01: Areas between Curves
  36. 7.1E: Exercises for Section 7.1
  37. 7.02: Determining Volumes by Slicing
  38. 7.2E: Exercises for Section 7.2
  39. 7.03: Volumes of Revolution - Cylindrical Shells
  40. 7.3E: Exercises for Section 7.3
  41. 7.04: Arc Length of a Curve and Surface Area
  42. 7.4E: Exercises for Section 7.4
  43. 7.05: Physical Applications of Integration
  44. 7.5E: Exercises for Section 7.5
  45. 7.06: Moments and Centers of Mass
  46. 7.6E: Exercises for Section 7.6
  47. 7.07: Integrals Exponential Functions and Logarithms
  48. 7.7E: Exercises for Section 7.7
  49. 7.08: Exponential Growth and Decay
  50. 7.8E: Exercises for Section 7.8
  51. 7.R: Chapter 6 Review Exercises
  52. 08: Techniques of Integration
  53. 8.00: Prelude to Techniques of Integration
  54. 8.01: Integration by Parts
  55. 8.1E: Exercises for Section 8.1
  56. 8.02: Trigonometric Integrals
  57. 8.2E: Exercises for Section 8.2
  58. 8.03: Trigonometric Substitution
  59. 8.3E: Exercises for Section 8.3
  60. 8.04: Partial Fractions
  61. 8.4E: Exercises for Section 8.4
  62. 8.05: Other Strategies for Integration
  63. 8.5E: Exercises for Section 8.5
  64. 8.06: Numerical Integration
  65. 8.6E: Exercises for Section 8.6
  66. 8.07: Improper Integrals
  67. 8.7E: Exercises for Section 8.7
  68. 8.R: Chapter 7 Review Exercises
  69. 09: Sequences and Series
  70. 9.00: Prelude to Sequence and Series
  71. 9.01: Sequences
  72. 9.1E: Exercises for Section 9.1
  73. 9.02: Infinite Series
  74. 9.2E: Exercises for Section 9.2
  75. 9.03: The Divergence and Integral Tests
  76. 9.3E: Exercises for Section 9.3
  77. 9.04: Comparison Tests
  78. 9.4E: Exercises for Section 9.4
  79. 9.05: Alternating Series
  80. 9.5E: Exercises for Section 9.5
  81. 9.06: Ratio and Root Tests
  82. 9.6E: Exercises for Section 9.6
  83. 9.R: Chapter 9 Review Exercises
  84. 10: Power Series
  85. 10.00: Prelude to Power Series
  86. 10.01: Power Series and Functions
  87. 10.1E: Exercises for Section 10.1
  88. 10.02: Properties of Power Series
  89. 10.2E: Exercises for Section 10.2
  90. 10.03: Taylor and Maclaurin Series
  91. 10.3E: Exercises for Section 10.3
  92. 10.04: Working with Taylor Series
  93. 10.4E: Exercises for Section 10.4
  94. 10.R: Chapter 10 Review Exercises
  95. 11: Parametric Equations and Polar Coordinates
  96. 11.00: Prelude to Parametric Equations and Polar Coordinates
  97. 11.01: Parametric Equations
  98. 11.1E: Exercises for Section 11.1
  99. 11.02: Calculus of Parametric Curves
  100. 11.2E: Exercises for Section 11.2
  101. 11.03: Polar Coordinates
  102. 11.3E: Exercises for Section 11.3
  103. 11.04: Area and Arc Length in Polar Coordinates
  104. 11.4E: Exercises for Section 11.4
  105. 11.05: Conic Sections
  106. 11.5E: Exercises for Section 11.5
  107. 11.R: Chapter 11 Review Exercises
  108. 12: Appendices
  109. 12.00: A- Table of Derivatives
  110. 12.01: B- Table of Integrals
  111. 13: Table of Contents
  112. 13.00: InfoPage
  113. 13.01: Licensing
  114. 13.02: Table of Contents
  115. 13.03: TitlePage