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MAT 03B Calculus II

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MAT 03B Calculus II

Mathematics
Author
Zoya Kravets
Publisher
Mission College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 106 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. 5.09: 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
  24. 6.02: Direction Fields and Numerical Methods
  25. 6.2E: Exercises
  26. 6.03: Separable Equations
  27. 6.3E: Exercises
  28. 6.04: The Logistic Equation
  29. 6.4E: Exercises
  30. 6.05: First-order Linear Equations
  31. 6.5E: Exercises
  32. 6.06: Chapter 6 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
  37. 7.02: Determining Volumes by Slicing
  38. 7.2E: Exercises
  39. 7.03: Volumes of Revolution - Cylindrical Shells
  40. 7.3E: Exercises
  41. 7.04: Arc Length of a Curve and Surface Area
  42. 7.4E: Exercises
  43. 7.05: Physical Applications of Integration
  44. 7.5E: Exercises
  45. 7.06: Moments and Centers of Mass
  46. 7.6E: Exercises
  47. 7.07: Chapter 7 Review Exercises
  48. 08: Techniques of Integration
  49. 8.00: Prelude to Techniques of Integration
  50. 8.01: Integration by Parts
  51. 8.1E: Exercises
  52. 8.02: Trigonometric Integrals
  53. 8.2E: Exercises
  54. 8.03: Trigonometric Substitution
  55. 8.3E: Exercises
  56. 8.04: Partial Fractions
  57. 8.4E: Exercises
  58. 8.05: Other Strategies for Integration
  59. 8.5E: Exercises
  60. 8.06: Numerical Integration
  61. 8.6E: Exercises
  62. 8.07: Improper Integrals
  63. 8.7E: Exercises
  64. 8.08: Chapter 8 Review Exercises
  65. 09: Sequences and Series
  66. 9.00: Prelude to Sequence and Series
  67. 9.01: Sequences
  68. 9.1E: Exercises
  69. 9.02: Infinite Series
  70. 9.2E: Exercises
  71. 9.03: The Divergence and Integral Tests
  72. 9.3E: Exercises
  73. 9.04: Comparison Tests
  74. 9.4E: Exercises
  75. 9.05: Alternating Series
  76. 9.5E: Exercises
  77. 9.06: Ratio and Root Tests
  78. 9.6E: Exercises
  79. 9.07: Chapter 9 Review Exercises
  80. 10: Power Series
  81. 10.00: Prelude to Power Series
  82. 10.01: Power Series and Functions
  83. 10.1E: Exercises
  84. 10.02: Properties of Power Series
  85. 10.2E: Exercises
  86. 10.03: Taylor and Maclaurin Series
  87. 10.3E: Exercises
  88. 10.04: Working with Taylor Series
  89. 10.4E: Exercises
  90. 10.05: Chapter 10 Review Exercises
  91. 11: Parametric Equations and Polar Coordinates
  92. 11.00: Prelude to Parametric Equations and Polar Coordinates
  93. 11.01: Conic Sections
  94. 11.1E: Exercises
  95. 11.02: Parametric Equations
  96. 11.2E: Exercises
  97. 11.03: Calculus of Parametric Curves
  98. 11.3E: Exercises
  99. 11.04: Polar Coordinates
  100. 11.4E: Exercises
  101. 11.05: Area and Arc Length in Polar Coordinates
  102. 11.5E: Exercises
  103. 11.06: Chapter 11 Review Exercises
  104. 12: Appendices
  105. 12.A: Table of Derivatives
  106. 12.B: Table of Integrals