Math C185: Calculus II (Tran)

by Chau D. Tran

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

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Calculus I Review
  7. 1.1: Derivatives of Exponential and Logarithmic Functions
  8. 1.2: Exercises on Derivatives of Logarithms and Exponential Functions
  9. 1.3: Derivatives of the Inverse Trigonometric Functions
  10. 2: Integration
  11. 2.1: Antiderivatives
  12. 2.1E: Antiderivative and Indefinite Integral Exercises
  13. 2.2: Prelude to Integration
  14. 2.3: Approximating Areas
  15. 2.3E: Approximating Areas (Exercises)
  16. 2.4: The Definite Integral
  17. 2.5: The Fundamental Theorem of Calculus
  18. 2.6: Integration Formulas and the Net Change Theorem
  19. 2.7: Substitution
  20. 2.8: 5.5E and 5.6E u-Substitution Exercises
  21. 2.9: Integrals Involving Exponential and Logarithmic Functions
  22. 2.10: Integrals Resulting in Inverse Trigonometric Functions and Related Integration Techniques
  23. 2.10E: Exercises for Integrals Resulting in Inverse Trigonometric Functions
  24. 2.11: Chapter 5 Review Exercises
  25. 3: Applications of Integration
  26. 3.1: Prelude to Applications of Integration
  27. 3.2: Areas between Curves
  28. 3.2E: Exercises for Section 6.1
  29. 3.3: Determining Volumes by Slicing
  30. 3.3E: Exercises for Volumes of Common Cross-Section and Disk/Washer Method
  31. 3.4: Volumes of Revolution- The Shell Method
  32. 3.4b: Volumes of Revolution- Cylindrical Shells OS
  33. 3.4E: Exercises for the Shell Method
  34. 3.5: Arc Length and Surface Area
  35. 3.6: Arc Length of a Curve and Surface Area
  36. 3.7: Exercises for Section 6.4
  37. 3.8: Using Integration to Determine Work
  38. 3.9: More Physical Applications of Integration
  39. 3.10: Exercises on Work
  40. 3.11: Moments and Centers of Mass
  41. 3.11E: Exercises for Section 6.6
  42. 3.12: Integrals, Exponential Functions, and Logarithms
  43. 3.12E: Exercises for Section 6.7
  44. 3.13: Exponential Growth and Decay
  45. 3.13E: Exercises for Section 6.8
  46. 3.14: Calculus of the Hyperbolic Functions
  47. 3.14E: Exercises for Section 6.9
  48. 3.15: Chapter 6 Review Exercises
  49. 4: Techniques of Integration
  50. 4.1: Prelude to Techniques of Integration
  51. 4.2: Integration by Parts
  52. 4.2E: Exercises for Integration by Parts
  53. 4.3: Trigonometric Integrals
  54. 4.3E: Exercises for Trigonometric Integrals
  55. 4.4: Trigonometric Substitution
  56. 4.4E: Exercises for Trigonometric Substitution
  57. 4.5: Partial Fractions
  58. 4.5E: Exercises for Integration by Partial Fractions
  59. 4.6: Other Strategies for Integration
  60. 4.6E: Exercises for Section 7.5
  61. 4.7: Numerical Integration
  62. 4.7E: Exercises for Numerical Integration
  63. 4.8: L'Hôpital's Rule
  64. 4.8E: Exercises for L'Hôpital's Rule
  65. 4.9: Improper Integrals
  66. 4.9E: Exercises for Improper Integrals
  67. 4.10: Chapter 7 Review Exercises
  68. 5: Introduction to Differential Equations
  69. 5.1: Prelude to Differential Equations
  70. 5.2: Basics of Differential Equations
  71. 5.2E: Exercises for Basics of Differential Equations
  72. 5.3: Direction Fields and Numerical Methods
  73. 5.3E: Exercises for Direction Fields and Numerical Methods
  74. 5.4: Separable Differential Equations
  75. 5.4E: Exercises for Separable Differential Equations
  76. 5.5: The Logistic Equation
  77. 5.5E: Exercises for the Logistic Equation
  78. 5.6: First-order Linear Equations
  79. 5.6E: Exercises for Section 8.5
  80. 5.7: Chapter 8 Review Exercises
  81. 6: Sequences and Series
  82. 6.1: Prelude to Sequence and Series
  83. 6.2: Sequences
  84. 6.2E: Exercises for Sequences
  85. 6.3: Infinite Series
  86. 6.3E: Exercises for Infinite Series
  87. 6.4: The Divergence and Integral Tests
  88. 6.4E: Exercises for Divergence and Integral Tests
  89. 6.5: Comparison Tests
  90. 6.5E: Exercises for Comparison Test
  91. 6.6: Alternating Series
  92. 6.6E: Exercises for Alternating Series
  93. 6.7: Ratio and Root Tests
  94. 6.7E: Exercises for Ratio and Root Tests
  95. 6.8: Chapter 9 Review Exercises
  96. 7: Power Series
  97. 7.1: Prelude to Power Series
  98. 7.2: Power Series and Functions
  99. 7.2E: Exercises for Section 10.1
  100. 7.3: Properties of Power Series
  101. 7.3E: Exercises for Section 10.2
  102. 7.4: Taylor and Maclaurin Series
  103. 7.4E: Exercises for Taylor Polynomials and Taylor Series
  104. 7.5: Working with Taylor Series
  105. 7.5E: Exercises for Section 10.4
  106. 7.6: Chapter 10 Review Exercises
  107. 8: Appendices
  108. 8.1: Trigonometric Identities
  109. 8.2: Review of Derivative Rules
  110. 8.3: Table of Derivatives
  111. 8.4: Table of Integrals
  112. Back Matter
  113. Index
  114. Glossary
  115. Detailed Licensing