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MAT-003A - Calculus I

External

MAT-003A - Calculus I

Mathematics
Author
Robert Reed
Publisher
Mission College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 87 sections
  1. 01: Functions and Graphs
  2. 1.00: Prelude to Functions and Graphs
  3. 1.01: Review of Functions
  4. 1.1E: Exercises for Section 1.1
  5. 1.02: Basic Classes of Functions
  6. 1.2E: Exercises for Section 1.2
  7. 1.03: Trigonometric Functions
  8. 1.3E: Exercises for Section 1.3
  9. 1.04: Inverse Functions
  10. 1.4E: Exercises for Section 1.4
  11. 1.05: Exponential and Logarithmic Functions
  12. 1.5E: Exercises for Section 1.5
  13. 1.06: Chapter 1 Review Exercises
  14. 02: Limits
  15. 2.00: Prelude to Limits
  16. 2.01: A Preview of Calculus
  17. 2.1E: Exercises for Section 2.1
  18. 2.02: The Limit of a Function
  19. 2.2E: Exercises for Section 2.2
  20. 2.03: The Limit Laws
  21. 2.3E: Exercises for Section 2.3
  22. 2.04: Continuity
  23. 2.4E: Exercises for Section 2.4
  24. 2.05: The Precise Definition of a Limit
  25. 2.5E: Exercises for Section 2.5
  26. 2.06: Chapter 2 Review Exercises
  27. 03: Derivatives
  28. 3.00: Prelude to Derivatives
  29. 3.01: Defining the Derivative
  30. 3.1E: Exercises for Section 3.1
  31. 3.02: The Derivative as a Function
  32. 3.2E: Exercises for Section 3.2
  33. 3.03: Differentiation Rules
  34. 3.3E: Exercises for Section 3.3
  35. 3.04: Derivatives as Rates of Change
  36. 3.4E: Exercises for Section 3.4
  37. 3.05: Derivatives of Trigonometric Functions
  38. 3.5E: Exercises for Section 3.5
  39. 3.06: The Chain Rule
  40. 3.6E: Exercises for Section 3.6
  41. 3.07: Implicit Differentiation
  42. 3.7E: Exercises for Section 3.7
  43. 3.08: Derivatives of Exponential and Logarithmic Functions
  44. 3.8E: Exercises for Section 3.8
  45. 3.09: Derivatives of Inverse Functions
  46. 3.9E: Exercises for Section 3.9
  47. 3.10: Chapter 3 Review Exercises
  48. 04: Applications of Derivatives
  49. 4.00: Prelude to Applications of Derivatives
  50. 4.01: Related Rates
  51. 4.1E: Exercises for Section 4.1
  52. 4.02: Maxima and Minima
  53. 4.2E: Exercises for Section 4.2
  54. 4.03: Rolles Theorem and The Mean Value Theorem
  55. 4.3E: Exercises for Section 4.3
  56. 4.04: Derivatives and the Shape of a Graph
  57. 4.4E: Exercises for Section 4.4
  58. 4.05: Limits at Infinity and Asymptotes
  59. 4.5E: Exercises for Section 4.5
  60. 4.06: Linear Approximations and Differentials
  61. 4.6E: Exercises for Section 4.6
  62. 4.07: Applied Optimization Problems
  63. 4.7E: Exercises for Section 4.7
  64. 4.08: LHopitals Rule
  65. 4.8E: Exercises for Section 4.8
  66. 4.09: Newtons Method
  67. 4.9E: Exercises for Section 4.9
  68. 4.10: Antiderivatives and Indefinite Integrals
  69. 4.10E: Exercises for Section 4.10
  70. 4.11: Chapter 4 Review Exercises
  71. 05: Integration
  72. 5.00: Approximating Areas
  73. 5.0E: Exercises for Section 5.1
  74. 5.01: The Definite Integral
  75. 5.1E: Exercises for Section 5.2
  76. 5.02: The Fundamental Theorem of Calculus
  77. 5.2E: Exercises for Section 5.3
  78. 5.03: Integration Formulas and the Net Change Theorem
  79. 5.3E: Exercises for Section 5.4
  80. 5.04: Substitution
  81. 5.4E: Exercises for Section 5.5
  82. 5.05: Integrals Involving Exponential and Logarithmic Functions
  83. 5.5E: Exercises for Section 5.6
  84. 5.06: Chapter 5 Review Exercises
  85. 06: Appendices
  86. 6.00: A- Table of Derivatives
  87. 6.01: B- Table of Integrals