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Mission College MAT 003B

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Mission College MAT 003B

Math 3B (Calculus II) builds upon differential calculus to focus on integral calculus and its applications. The core mission of the course is to master advanced integration techniques, explore infinite sequences and series, and analyze parametric equations and polar coordinates.

Mathematics
Author
Benjamin Fineman
Publisher
Mission College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 83 sections
  1. 01: Integration
  2. 1.01: Approximating Areas
  3. 1.1E: Exercises for Section 5.1
  4. 1.02: The Definite Integral
  5. 1.2E: Exercises for Section 5.2
  6. 1.03: The Fundamental Theorem of Calculus
  7. 1.3E: Exercises for Section 5.3
  8. 1.04: Integration Formulas and the Net Change Theorem
  9. 1.4E: Exercises for Section 5.4
  10. 1.05: Substitution
  11. 1.5E: Exercises for Section 5.5
  12. 1.06: Integrals Involving Exponential and Logarithmic Functions
  13. 1.6E: Exercises for Section 5.6
  14. 1.07: Integrals Resulting in Inverse Trigonometric Functions
  15. 1.7E: Exercises for Section 5.7
  16. 1.08: Calculus of the Hyperbolic Functions
  17. 1.8E: Exercises for Section 6.9
  18. 02: Applications of Integration
  19. 2.01: Areas between Curves
  20. 2.1E: Exercises for Section 6.1
  21. 2.02: Determining Volumes by Slicing
  22. 2.2E: Exercises for Section 6.2
  23. 2.03: Volumes of Revolution - Cylindrical Shells
  24. 2.3E: Exercises for Section 6.3
  25. 2.04: Arc Length of a Curve and Surface Area
  26. 2.4E: Exercises for Section 6.4
  27. 2.05: Physical Applications of Integration
  28. 2.5E: Exercises for Section 6.5
  29. 2.06: Moments and Centers of Mass
  30. 2.6E: Exercises for Section 6.6
  31. 2.07: Integrals Exponential Functions and Logarithms
  32. 2.7E: Exercises for Section 6.7
  33. 2.08: Chapter 6 Review Exercises
  34. 03: Techniques of Integration
  35. 3.01: Integration by Parts
  36. 3.1E: Exercises for Section 7.1
  37. 3.02: Trigonometric Integrals
  38. 3.2E: Exercises for Section 7.2
  39. 3.03: Trigonometric Substitution
  40. 3.3E: Exercises for Section 7.3
  41. 3.04: Partial Fractions
  42. 3.4E: Exercises for Section 7.4
  43. 3.05: Other Strategies for Integration
  44. 3.5E: Exercises for Section 7.5
  45. 3.06: Numerical Integration
  46. 3.6E: Exercises for Section 7.6
  47. 3.07: Improper Integrals
  48. 3.7E: Exercises for Section 7.7
  49. 3.08: Chapter 7 Review Exercises
  50. 04: Introduction to Differential Equations
  51. 4.01: Basics of Differential Equations
  52. 4.1E: Exercises for Section 8.1
  53. 4.02: Separable Equations
  54. 4.2E: Exercises for Section 8.3
  55. 4.03: Exponential Growth and Decay
  56. 4.3E: Exercises for Section 6.8
  57. 4.04: The Logistic Equation
  58. 4.4E: Exercises for Section 8.4
  59. 05: Sequences and Series
  60. 5.01: Sequences
  61. 5.1E: Exercises for Section 9.1
  62. 5.02: Infinite Series
  63. 5.2E: Exercises for Section 9.2
  64. 5.03: The Divergence and Integral Tests
  65. 5.3E: Exercises for Section 9.3
  66. 5.04: Comparison Tests
  67. 5.4E: Exercises for Section 9.4
  68. 5.05: Alternating Series
  69. 5.5E: Exercises for Section 9.5
  70. 5.06: Ratio and Root Tests
  71. 5.6E: Exercises for Section 9.6
  72. 5.07: Chapter 9 Review Exercises
  73. 06: Power Series
  74. 6.01: Prelude to Power Series
  75. 6.02: Power Series and Functions
  76. 6.2E: Exercises for Section 10.1
  77. 6.03: Properties of Power Series
  78. 6.3E: Exercises for Section 10.2
  79. 6.04: Taylor and Maclaurin Series
  80. 6.4E: Exercises for Section 10.3
  81. 6.05: Working with Taylor Series
  82. 6.5E: Exercises for Section 10.4
  83. 6.R: Chapter 10 Review Exercises