MATH 261: Calculus I

by Edward Pineda-Castro

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Los Angeles City College
Subjects
Mathematics
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CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
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Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Limits
  7. 1.1: Prelude to Limits
  8. 1.2: A Preview of Calculus
  9. 1.2E: Exercises for Section 2.1
  10. 1.3: The Limit of a Function
  11. 1.3E: Exercises for Section 2.2
  12. 1.4: Infinite Limits
  13. 1.4E: Exercises for Section 2.3
  14. 1.5: The Limit Laws
  15. 1.5E: Exercises for Section 2.4
  16. 1.6: Limits at Infinity
  17. 1.6E: Exercises for Section 2.5
  18. 1.7: Continuity
  19. 1.7E: Exercises for Section 2.6
  20. 1.8: The Precise Definition of a Limit
  21. 1.8E: Exercises for Section 2.7
  22. 1.9: Chapter Review Exercises
  23. 1.10: Derivatives
  24. 1.10.1: Prelude to Derivatives
  25. 1.10.2: Defining the Derivative
  26. 1.10.2E: Exercises for Section 3.1
  27. 1.10.3: The Derivative as a Function
  28. 1.10.3E: Exercises for Section 3.2
  29. 1.10.4: Differentiation Rules
  30. 1.10.4E: Exercises for Section 3.3
  31. 1.10.5: Derivatives of Trigonometric Functions
  32. 1.10.5E: Exercises for Section 3.4
  33. 1.10.6: Derivatives as Rates of Change
  34. 1.10.6E: Exercises for Section 3.5
  35. 1.10.7: The Chain Rule
  36. 1.10.7E: Exercises for Section 3.6
  37. 1.10.8: Implicit Differentiation
  38. 1.10.8E: Exercises for Section 3.7
  39. 1.10.9: Derivatives of Exponential and Logarithmic Functions
  40. 1.10.9E: Exercises for Section 3.8
  41. 1.10.10: Derivatives of the Inverse Trigonometric Functions
  42. 1.10.11: Chapter 3 Review Exercises
  43. 2: Derivatives
  44. 2.1: Prelude to Derivatives
  45. 2.2: Defining the Derivative
  46. 2.2E: Exercises for Section 3.1
  47. 2.3: The Derivative as a Function
  48. 2.3E: Exercises for Section 3.2
  49. 2.4: Differentiation Rules
  50. 2.4E: Exercises for Section 3.3
  51. 2.5: Derivatives of Trigonometric Functions
  52. 2.5E: Exercises for Section 3.4
  53. 2.6: Derivatives as Rates of Change
  54. 2.6E: Exercises for Section 3.5
  55. 2.7: The Chain Rule
  56. 2.7E: Exercises for Section 3.6
  57. 2.8: Implicit Differentiation
  58. 2.8E: Exercises for Section 3.7
  59. 2.9: Derivatives of Exponential and Logarithmic Functions
  60. 2.9E: Exercises for Section 3.8
  61. 2.10: Derivatives of the Inverse Trigonometric Functions
  62. 2.11: Chapter 3 Review Exercises
  63. 3: Applications of Derivatives
  64. 3.1: Prelude to Applications of Derivatives
  65. 3.2: Related Rates
  66. 3.2E: Exercises for Section 4.1
  67. 3.3: Maxima and Minima
  68. 3.3E: Exercises for Section 4.2
  69. 3.4: The Mean Value Theorem
  70. 3.4E: Exercises for Section 4.3
  71. 3.5: Derivatives and the Shape of a Graph
  72. 3.5E: Exercises for Section 4.4
  73. 3.6: Limits at Infinity and Asymptotes
  74. 3.7: Applied Optimization Problems
  75. 3.7E: Exercises for Section 4.6
  76. 3.8: Parametric Equations
  77. 3.8E: Exercises for Section 4.7
  78. 3.9: Derivatives of Parametric Equations
  79. 3.9E: Exercises for Section 4.8
  80. 3.10: Newton’s Method
  81. 3.10E: Exercises for Section 4.9
  82. 3.11: Linear Approximations and Differentials
  83. 3.11E: Exercises for Section 4.10
  84. 3.12: Antiderivatives
  85. 3.12E: Exercises for Section 4.11
  86. 3.13: Chapter 4 Review Exercises
  87. 4: Integration
  88. 4.1: Approximating Areas
  89. 4.1E: Exercises for Section 5.1
  90. 4.2: The Definite Integral
  91. 4.2E: Exercises for Section 5.2
  92. 4.3: The Fundamental Theorem of Calculus
  93. 4.3E: Exercises for Section 5.3
  94. 4.4: Integration Formulas and the Net Change Theorem
  95. 4.4E: Exercises for Section 5.4
  96. 4.5: Substitution
  97. 4.5E: Exercises for Section 5.5
  98. 4.6: Integrals Involving Exponential and Logarithmic Functions
  99. 4.6E: Exercises for Section 5.6
  100. 4.7: Integrals Resulting in Inverse Trigonometric Functions
  101. 4.7E: Exercises for Section 5.7
  102. 4.8: Chapter 5 Review Exercises
  103. 5: Appendices
  104. 5.1: Trigonometric Identities
  105. 5.2: Review of Derivative Rules
  106. 5.3: Table of Derivatives
  107. 5.4: Table of Integrals
  108. Back Matter
  109. Index
  110. Glossary
  111. Detailed Licensing
  112. Detailed Licensing