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Calculus

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Calculus

The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.

Mathematics
Author
Gilbert Strang & Edwin Herman
Publisher
MIT & University of Wisconsin-Stevens Point
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 93 sections
  1. 01: Functions and Graphs
  2. 1.01: Prelude to Functions and Graphs
  3. 1.02: Review of Functions
  4. 1.2E: Exercises
  5. 1.03: Basic Classes of Functions
  6. 1.3E: Exercises
  7. 1.04: Trigonometric Functions
  8. 1.4E: Exercises
  9. 1.05: Inverse Functions
  10. 1.5E: Exercises
  11. 1.06: Exponential and Logarithmic Functions
  12. 1.6E: Exercises
  13. 1.07: Chapter 1 Review Exercises
  14. 02: Limits
  15. 2.01: Prelude to Limits
  16. 2.02: A Preview of Calculus
  17. 2.2E: Exercises
  18. 2.03: The Limit of a Function
  19. 2.3E: Exercises
  20. 2.04: The Limit Laws
  21. 2.4E: Exercises
  22. 2.05: Continuity
  23. 2.5E: Exercises
  24. 2.06: The Precise Definition of a Limit
  25. 2.6E: Exercises
  26. 2.07: Chapter 2 Review Exercises
  27. 03: Derivatives
  28. 3.01: Prelude to Derivatives
  29. 3.02: Defining the Derivative
  30. 3.2E: Exercises
  31. 3.03: The Derivative as a Function
  32. 3.3E: Exercises
  33. 3.04: Differentiation Rules
  34. 3.4E: Exercises
  35. 3.05: Derivatives as Rates of Change
  36. 3.5E: Exercises
  37. 3.06: Derivatives of Trigonometric Functions
  38. 3.6E: Exercises
  39. 3.07: The Chain Rule
  40. 3.7E: Exercises
  41. 3.08: Derivatives of Inverse Functions
  42. 3.8E: Exercises
  43. 3.09: Implicit Differentiation
  44. 3.9E: Exercises
  45. 3.10: Derivatives of Exponential and Logarithmic Functions
  46. 3.10E: Exercises
  47. 3.11: Chapter 3 Review Exercises
  48. 04: Applications of Derivatives
  49. 4.01: Prelude to Applications of Derivatives
  50. 4.02: Related Rates
  51. 4.2E: Exercises
  52. 4.03: Linear Approximations and Differentials
  53. 4.3E: Exercises
  54. 4.04: Maxima and Minima
  55. 4.4E: Exercises
  56. 4.05: The Mean Value Theorem
  57. 4.5E: Exercises
  58. 4.06: Derivatives and the Shape of a Graph
  59. 4.6E: Exercises
  60. 4.07: Limits at Infinity and Asymptotes
  61. 4.7E: Exercises
  62. 4.08: Applied Optimization Problems
  63. 4.8E: Exercises
  64. 4.09: LHopitals Rule
  65. 4.9E: Exercises
  66. 4.10: Newtons Method
  67. 4.10E: Exercises
  68. 4.11: Antiderivatives
  69. 4.11E: Exercises
  70. 4.12: Chapter 4 Review Exercises
  71. 05: Integration
  72. 5.01: Approximating Areas
  73. 5.1E: Exercises
  74. 5.02: The Definite Integral
  75. 5.2E: Exercises
  76. 5.03: The Fundamental Theorem of Calculus
  77. 5.3E: Exercises
  78. 5.04: Integration Formulas and the Net Change Theorem
  79. 5.4E: Exercises
  80. 5.05: Substitution
  81. 5.5E: Exercises
  82. 5.06: Integrals Involving Exponential and Logarithmic Functions
  83. 5.6E: Exercises
  84. 5.07: Integrals Resulting in Inverse Trigonometric Functions
  85. 5.7E: Exercises
  86. 5.08: Chapter 5 Review Exercises
  87. 06: Applications of Integration
  88. 6.01: Prelude to Applications of Integration
  89. 6.02: Areas between Curves
  90. 6.2E: Exercises
  91. 07: Appendices
  92. 7.01: A- Table of Derivatives
  93. 7.02: B- Table of Integrals