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Math 401: Calculus II - Integral Calculus

Nguồn ngoài

Math 401: Calculus II - Integral Calculus

Topics covered will include techniques of integration, numerical integration, improper integrals, infinite series, parametric equations, polar equations, and possibly conic sections. Many applications will be covered including those involving areas between planar curves, volumes of revolution, work, moments, center of mass, average value, arc length, and surface area.

Mathematics
Tác giả
Roy Simpson
Nhà xuất bản
Cosumnes River College
Nguồn
LibreTexts
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 99 mục
  1. 01: Applications of Integration
  2. 1.01: Areas Between Curves
  3. 1.1.01: Resources and Key Concepts
  4. 1.1.02: Homework
  5. 1.02: Determining Volumes by Slicing
  6. 1.2.01: Resources and Key Concepts
  7. 1.2.02: Homework
  8. 1.03: Volumes of Revolution - The Disk and Washer Methods
  9. 1.3.01: Resources and Key Concepts
  10. 1.3.02: Homework
  11. 1.04: Volumes of Revolution - Cylindrical Shells
  12. 1.4.01: Resources and Key Concepts
  13. 1.4.02: Homework
  14. 1.05: Arc Length of a Curve and Surface Area
  15. 1.5.01: Resources and Key Concepts
  16. 1.5.02: Homework
  17. 1.06: Work
  18. 1.6.01: Resources and Key Concepts
  19. 1.6.02: Homework
  20. 1.07: Hydrostatic Force and Pressure
  21. 1.7.01: Resources and Key Concepts
  22. 1.7.02: Homework
  23. 1.08: Moments and Centers of Mass
  24. 1.8.01: Resources and Key Concepts
  25. 1.8.02: Homework
  26. 1.09: The Mean Value Theorem for Integrals
  27. 1.9.01: Resources and Key Concepts
  28. 1.9.02: Homework
  29. 1.10: Chapter 1 Review Exercises
  30. 02: Techniques of Integration
  31. 2.01: Expanding the Substitution Method
  32. 2.1.01: Resources and Key Concepts
  33. 2.1.02: Homework
  34. 2.02: Expanding the Substitution Method - Trigonometric Substitution
  35. 2.2.01: Resources and Key Concepts
  36. 2.2.02: Homework
  37. 2.03: Integration by Parts
  38. 2.3.01: Resources and Key Concepts
  39. 2.3.02: Homework
  40. 2.04: Partial Fractions
  41. 2.4.01: Resources and Key Concepts
  42. 2.4.02: Homework
  43. 2.05: Numerical Integration
  44. 2.5.01: Resources and Key Concepts
  45. 2.5.02: Homework
  46. 2.06: Chapter 2 Review Exercises
  47. 03: Sequences and Series
  48. 3.01: Improper Integrals
  49. 3.1.01: Exercises
  50. 3.02: Sequences
  51. 3.2E: Exercises
  52. 3.03: Infinite Series
  53. 3.3E: Exercises
  54. 3.04: The Divergence and Integral Tests
  55. 3.4E: Exercises
  56. 3.05: The Comparison Tests
  57. 3.5E: Exercises
  58. 3.06: The Alternating Series Test
  59. 3.6E: Exercises
  60. 3.07: The Ratio and Root Tests
  61. 3.7E: Exercises
  62. 3.08: Chapter 3 Review Exercises
  63. 04: Power Series
  64. 4.01: Power Series and Functions
  65. 4.1E: Exercises
  66. 4.02: Properties of Power Series
  67. 4.2E: Exercises
  68. 4.03: Taylor and Maclaurin Series
  69. 4.3E: Exercises
  70. 4.04: The Binomial Theorem and Applications of Taylor Series
  71. 4.4E: Exercises
  72. 4.05: Chapter 4 Review Exercises
  73. 05: Parametric Equations and Polar Coordinates
  74. 5.01: Parametric Equations
  75. 5.1E: Exercises
  76. 5.02: Calculus of Parametric Curves
  77. 5.2E: Exercises
  78. 5.03: Polar Coordinates
  79. 5.3E: Exercises
  80. 5.04: Area and Arc Length in Polar Coordinates
  81. 5.4E: Exercises
  82. 5.05: Chapter 5 Review Exercises
  83. 06: Introduction to Differential Equations
  84. 6.01: Basics of Differential Equations
  85. 6.1E: Exercises for Section 8.1
  86. 6.02: Direction Fields and Numerical Methods
  87. 6.2E: Exercises for Section 8.2
  88. 6.03: Separable Equations
  89. 6.3E: Exercises for Section 8.3
  90. 6.04: The Logistic Equation
  91. 6.4E: Exercises for Section 8.4
  92. 6.05: First-order Linear Equations
  93. 6.5E: Exercises for Section 8.5
  94. 6.06: Chapter 6 Review Exercises
  95. 07: Appendices
  96. 7.01: Other Strategies for Integration
  97. 7.1E: Exercises
  98. 7.02: Table of Derivatives
  99. 7.03: Table of Integrals