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MTH 211: Calculus II

External

MTH 211: Calculus II

Mathematics
Author
Paul Seeburger
Publisher
Monroe Community College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 107 sections
  1. Calculus I Review
  2. 3.9: Derivatives of Exponential and Logarithmic Functions
  3. 3.9E: Exercises on Derivatives of Logarithms and Exponential Functions
  4. Derivatives of the Inverse Trigonometric Functions
  5. Exercises for Derivatives of the Inverse Trigonometric Functions
  6. Chapter 5: Integration
  7. 4.11: Antiderivatives
  8. 4.11E: Antiderivative and Indefinite Integral Exercises
  9. 5.0: Prelude to Integration
  10. 5.1: Approximating Areas
  11. 5.1E: Approximating Areas (Exercises)
  12. 5.2: The Definite Integral
  13. 5.3: The Fundamental Theorem of Calculus
  14. 5.4: Integration Formulas and the Net Change Theorem
  15. 5.5: Substitution
  16. 5.5E and 5.6E u-Substitution Exercises
  17. 5.6: Integrals Involving Exponential and Logarithmic Functions
  18. 5.7: Integrals Resulting in Inverse Trigonometric Functions and Related Integration Techniques
  19. 5.7E: Exercises for Integrals Resulting in Inverse Trigonometric Functions
  20. Chapter 5 Review Exercises
  21. Chapter 6: Applications of Integration
  22. 6.0: Prelude to Applications of Integration
  23. 6.1: Areas between Curves
  24. 6.1E: Exercises for Section 6.1
  25. 6.2: Determining Volumes by Slicing
  26. 6.2E: Exercises for Volumes of Common Cross-Section and Disk Washer Method
  27. 6.3: Volumes of Revolution: The Shell Method
  28. 6.3b: Volumes of Revolution: Cylindrical Shells OS
  29. 6.3E: Exercises for the Shell Method
  30. 6.4: Arc Length and Surface Area
  31. 6.4: Arc Length of a Curve and Surface Area
  32. 6.4E: Exercises for Section 6.4
  33. 6.5: Using Integration to Determine Work
  34. 6.5b: More Physical Applications of Integration
  35. 6.5E: Exercises on Work
  36. 6.6: Moments and Centers of Mass
  37. 6.6E: Exercises for Section 6.6
  38. 6.7: Integrals Exponential Functions and Logarithms
  39. 6.7E: Exercises for Section 6.7
  40. 6.8: Exponential Growth and Decay
  41. 6.8E: Exercises for Section 6.8
  42. 6.9: Calculus of the Hyperbolic Functions
  43. 6.9E: Exercises for Section 6.9
  44. Chapter 6 Review Exercises
  45. Chapter 7: Techniques of Integration
  46. 7.0: Prelude to Techniques of Integration
  47. 7.1: Integration by Parts
  48. 7.1E: Exercises for Integration by Parts
  49. 7.2: Trigonometric Integrals
  50. 7.2E: Exercises for Trigonometric Integrals
  51. 7.3: Trigonometric Substitution
  52. 7.3E: Exercises for Trigonometric Substitution
  53. 7.4: Partial Fractions
  54. 7.4E: Exercises for Integration by Partial Fractions
  55. 7.5: Other Strategies for Integration
  56. 7.5E: Exercises for Section 7.5
  57. 7.6: Numerical Integration
  58. 7.6E: Exercises for Numerical Integration
  59. 7.7: L'Hopital's Rule
  60. 7.7E: Exercises for L'Hopital's Rule
  61. 7.8: Improper Integrals
  62. 7.8E: Exercises for Improper Integrals
  63. Chapter 7 Review Exercises
  64. Chapter 8: Introduction to Differential Equations
  65. 8.0: Prelude to Differential Equations
  66. 8.1: Basics of Differential Equations
  67. 8.1E: Exercises for Basics of Differential Equations
  68. 8.2: Direction Fields and Numerical Methods
  69. 8.2E: Exercises for Direction Fields and Numerical Methods
  70. 8.3: Separable Differential Equations
  71. 8.3E: Exercises for Separable Differential Equations
  72. 8.4: The Logistic Equation
  73. 8.4E: Exercises for the Logistic Equation
  74. 8.5: First-order Linear Equations
  75. 8.5E: Exercises for Section 8.5
  76. Chapter 8 Review Exercises
  77. Chapter 9: Sequences and Series
  78. 9.0: Prelude to Sequence and Series
  79. 9.1: Sequences
  80. 9.1E: Exercises for Sequences
  81. 9.2: Infinite Series
  82. 9.2E: Exercises for Infinite Series
  83. 9.3: The Divergence and Integral Tests
  84. 9.3E: Exercises for Divergence and Integral Tests
  85. 9.4: Comparison Tests
  86. 9.4E: Exercises for Comparison Test
  87. 9.5: Alternating Series
  88. 9.5E: Exercises for Alternating Series
  89. 9.6: Ratio and Root Tests
  90. 9.6E: Exercises for Ratio and Root Tests
  91. Chapter 9 Review Exercises
  92. Chapter Ch10: Power Series
  93. 10.0: Prelude to Power Series
  94. 10.1: Power Series and Functions
  95. 10.1E: Exercises for Section 10.1
  96. 10.2: Properties of Power Series
  97. 10.2E: Exercises for Section 10.2
  98. 10.3: Taylor and Maclaurin Series
  99. 10.3E: Exercises for Taylor Polynomials and Taylor Series
  100. 10.4: Working with Taylor Series
  101. 10.4E: Exercises for Section 10.4
  102. Chapter 10 Review Exercises
  103. z-Appendices
  104. 1Trigonometric Identities
  105. Review of Derivative Rules
  106. Table of Derivatives
  107. Table of Integrals