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Math C185: Calculus II (Tran)

Nguồn ngoài

Math C185: Calculus II (Tran)

Mathematics
Tác giả
Chau D. Tran
Nhà xuất bản
Coastline College
Nguồn
LibreTexts
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CC BY-NC-SA
Ngôn ngữ
EN
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Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 106 mục
  1. 01: Calculus I Review
  2. 1.01: Derivatives of Exponential and Logarithmic Functions
  3. 1.02: Exercises on Derivatives of Logarithms and Exponential Functions
  4. 1.03: Derivatives of the Inverse Trigonometric Functions
  5. 02: Integration
  6. 2.01: Antiderivatives
  7. 2.1E: Antiderivative and Indefinite Integral Exercises
  8. 2.02: Prelude to Integration
  9. 2.03: Approximating Areas
  10. 2.3E: Approximating Areas (Exercises)
  11. 2.04: The Definite Integral
  12. 2.05: The Fundamental Theorem of Calculus
  13. 2.06: Integration Formulas and the Net Change Theorem
  14. 2.07: Substitution
  15. 2.08: 5.5E and 5.6E u-Substitution Exercises
  16. 2.09: Integrals Involving Exponential and Logarithmic Functions
  17. 2.10: Integrals Resulting in Inverse Trigonometric Functions and Related Integration Techniques
  18. 2.10E: Exercises for Integrals Resulting in Inverse Trigonometric Functions
  19. 2.11: Chapter 5 Review Exercises
  20. 03: Applications of Integration
  21. 3.01: Prelude to Applications of Integration
  22. 3.02: Areas between Curves
  23. 3.2E: Exercises for Section 6.1
  24. 3.03: Determining Volumes by Slicing
  25. 3.3E: Exercises for Volumes of Common Cross-Section and Disk Washer Method
  26. 3.04: Volumes of Revolution- The Shell Method
  27. 3.4b: Volumes of Revolution- Cylindrical Shells OS
  28. 3.4E: Exercises for the Shell Method
  29. 3.05: Arc Length and Surface Area
  30. 3.06: Arc Length of a Curve and Surface Area
  31. 3.07: Exercises for Section 6.4
  32. 3.08: Using Integration to Determine Work
  33. 3.09: More Physical Applications of Integration
  34. 3.10: Exercises on Work
  35. 3.11: Moments and Centers of Mass
  36. 3.11E: Exercises for Section 6.6
  37. 3.12: Integrals Exponential Functions and Logarithms
  38. 3.12E: Exercises for Section 6.7
  39. 3.13: Exponential Growth and Decay
  40. 3.13E: Exercises for Section 6.8
  41. 3.14: Calculus of the Hyperbolic Functions
  42. 3.14E: Exercises for Section 6.9
  43. 3.15: Chapter 6 Review Exercises
  44. 04: Techniques of Integration
  45. 4.01: Prelude to Techniques of Integration
  46. 4.02: Integration by Parts
  47. 4.2E: Exercises for Integration by Parts
  48. 4.03: Trigonometric Integrals
  49. 4.3E: Exercises for Trigonometric Integrals
  50. 4.04: Trigonometric Substitution
  51. 4.4E: Exercises for Trigonometric Substitution
  52. 4.05: Partial Fractions
  53. 4.5E: Exercises for Integration by Partial Fractions
  54. 4.06: Other Strategies for Integration
  55. 4.6E: Exercises for Section 7.5
  56. 4.07: Numerical Integration
  57. 4.7E: Exercises for Numerical Integration
  58. 4.08: L'Hopital's Rule
  59. 4.8E: Exercises for L'Hopital's Rule
  60. 4.09: Improper Integrals
  61. 4.9E: Exercises for Improper Integrals
  62. 4.10: Chapter 7 Review Exercises
  63. 05: Introduction to Differential Equations
  64. 5.01: Prelude to Differential Equations
  65. 5.02: Basics of Differential Equations
  66. 5.2E: Exercises for Basics of Differential Equations
  67. 5.03: Direction Fields and Numerical Methods
  68. 5.3E: Exercises for Direction Fields and Numerical Methods
  69. 5.04: Separable Differential Equations
  70. 5.4E: Exercises for Separable Differential Equations
  71. 5.05: The Logistic Equation
  72. 5.5E: Exercises for the Logistic Equation
  73. 5.06: First-order Linear Equations
  74. 5.6E: Exercises for Section 8.5
  75. 5.07: Chapter 8 Review Exercises
  76. 06: Sequences and Series
  77. 6.01: Prelude to Sequence and Series
  78. 6.02: Sequences
  79. 6.2E: Exercises for Sequences
  80. 6.03: Infinite Series
  81. 6.3E: Exercises for Infinite Series
  82. 6.04: The Divergence and Integral Tests
  83. 6.4E: Exercises for Divergence and Integral Tests
  84. 6.05: Comparison Tests
  85. 6.5E: Exercises for Comparison Test
  86. 6.06: Alternating Series
  87. 6.6E: Exercises for Alternating Series
  88. 6.07: Ratio and Root Tests
  89. 6.7E: Exercises for Ratio and Root Tests
  90. 6.08: Chapter 9 Review Exercises
  91. 07: Power Series
  92. 7.01: Prelude to Power Series
  93. 7.02: Power Series and Functions
  94. 7.2E: Exercises for Section 10.1
  95. 7.03: Properties of Power Series
  96. 7.3E: Exercises for Section 10.2
  97. 7.04: Taylor and Maclaurin Series
  98. 7.4E: Exercises for Taylor Polynomials and Taylor Series
  99. 7.05: Working with Taylor Series
  100. 7.5E: Exercises for Section 10.4
  101. 7.06: Chapter 10 Review Exercises
  102. 08: Appendices
  103. 8.01: Trigonometric Identities
  104. 8.02: Review of Derivative Rules
  105. 8.03: Table of Derivatives
  106. 8.04: Table of Integrals