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MATH 261: Calculus I

External

MATH 261: Calculus I

Mathematics
Author
Edward Pineda-Castro
Publisher
Los Angeles City College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 102 sections
  1. 01: Limits
  2. 1.01: Prelude to Limits
  3. 1.02: A Preview of Calculus
  4. 1.2E: Exercises for Section 2.1
  5. 1.03: The Limit of a Function
  6. 1.3E: Exercises for Section 2.2
  7. 1.04: Infinite Limits
  8. 1.4E: Exercises for Section 2.3
  9. 1.05: The Limit Laws
  10. 1.5E: Exercises for Section 2.4
  11. 1.06: Limits at Infinity
  12. 1.6E: Exercises for Section 2.5
  13. 1.07: Continuity
  14. 1.7E: Exercises for Section 2.6
  15. 1.08: The Precise Definition of a Limit
  16. 1.8E: Exercises for Section 2.7
  17. 1.09: Chapter Review Exercises
  18. 1.10: Derivatives
  19. 1.10.01: Prelude to Derivatives
  20. 1.10.02: Defining the Derivative
  21. 1.10.2E: Exercises for Section 3.1
  22. 1.10.03: The Derivative as a Function
  23. 1.10.3E: Exercises for Section 3.2
  24. 1.10.04: Differentiation Rules
  25. 1.10.4E: Exercises for Section 3.3
  26. 1.10.05: Derivatives of Trigonometric Functions
  27. 1.10.5E: Exercises for Section 3.4
  28. 1.10.06: Derivatives as Rates of Change
  29. 1.10.6E: Exercises for Section 3.5
  30. 1.10.07: The Chain Rule
  31. 1.10.7E: Exercises for Section 3.6
  32. 1.10.08: Implicit Differentiation
  33. 1.10.8E: Exercises for Section 3.7
  34. 1.10.09: Derivatives of Exponential and Logarithmic Functions
  35. 1.10.9E: Exercises for Section 3.8
  36. 1.10.10: Derivatives of the Inverse Trigonometric Functions
  37. 1.10.11: Chapter 3 Review Exercises
  38. 02: Derivatives
  39. 2.01: Prelude to Derivatives
  40. 2.02: Defining the Derivative
  41. 2.2E: Exercises for Section 3.1
  42. 2.03: The Derivative as a Function
  43. 2.3E: Exercises for Section 3.2
  44. 2.04: Differentiation Rules
  45. 2.4E: Exercises for Section 3.3
  46. 2.05: Derivatives of Trigonometric Functions
  47. 2.5E: Exercises for Section 3.4
  48. 2.06: Derivatives as Rates of Change
  49. 2.6E: Exercises for Section 3.5
  50. 2.07: The Chain Rule
  51. 2.7E: Exercises for Section 3.6
  52. 2.08: Implicit Differentiation
  53. 2.8E: Exercises for Section 3.7
  54. 2.09: Derivatives of Exponential and Logarithmic Functions
  55. 2.9E: Exercises for Section 3.8
  56. 2.10: Derivatives of the Inverse Trigonometric Functions
  57. 2.11: Chapter 3 Review Exercises
  58. 03: Applications of Derivatives
  59. 3.01: Prelude to Applications of Derivatives
  60. 3.02: Related Rates
  61. 3.2E: Exercises for Section 4.1
  62. 3.03: Maxima and Minima
  63. 3.3E: Exercises for Section 4.2
  64. 3.04: The Mean Value Theorem
  65. 3.4E: Exercises for Section 4.3
  66. 3.05: Derivatives and the Shape of a Graph
  67. 3.5E: Exercises for Section 4.4
  68. 3.06: Limits at Infinity and Asymptotes
  69. 3.07: Applied Optimization Problems
  70. 3.7E: Exercises for Section 4.6
  71. 3.08: Parametric Equations
  72. 3.8E: Exercises for Section 4.7
  73. 3.09: Derivatives of Parametric Equations
  74. 3.9E: Exercises for Section 4.8
  75. 3.10: Newtons Method
  76. 3.10E: Exercises for Section 4.9
  77. 3.11: Linear Approximations and Differentials
  78. 3.11E: Exercises for Section 4.10
  79. 3.12: Antiderivatives
  80. 3.12E: Exercises for Section 4.11
  81. 3.13: Chapter 4 Review Exercises
  82. 04: Integration
  83. 4.01: Approximating Areas
  84. 4.1E: Exercises for Section 5.1
  85. 4.02: The Definite Integral
  86. 4.2E: Exercises for Section 5.2
  87. 4.03: The Fundamental Theorem of Calculus
  88. 4.3E: Exercises for Section 5.3
  89. 4.04: Integration Formulas and the Net Change Theorem
  90. 4.4E: Exercises for Section 5.4
  91. 4.05: Substitution
  92. 4.5E: Exercises for Section 5.5
  93. 4.06: Integrals Involving Exponential and Logarithmic Functions
  94. 4.6E: Exercises for Section 5.6
  95. 4.07: Integrals Resulting in Inverse Trigonometric Functions
  96. 4.7E: Exercises for Section 5.7
  97. 4.08: Chapter 5 Review Exercises
  98. 05: Appendices
  99. 5.01: Trigonometric Identities
  100. 5.02: Review of Derivative Rules
  101. 5.03: Table of Derivatives
  102. 5.04: Table of Integrals