Phu Xuan University Library
|
PXU E-LIB
Sign in
Math 221 Calculus 1

External

Math 221 Calculus 1

A first course in the calculus of single-variable functions. This course focuses on limits and derivatives, and introduces integrals.

Mathematics
Publisher
LibreTexts
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 110 sections
  1. 01: Functions and Graphs
  2. 1.01: Prelude to Functions and Graphs
  3. 1.02: Review of Functions
  4. 1.2E: Exercises for Section 1.2
  5. 1.03: Basic Classes of Functions
  6. 1.3E: Exercises for Section 1.3
  7. 1.04: Trigonometric Functions
  8. 1.4E: Exercises for Section 1.4
  9. 1.05: Inverse Functions
  10. 1.5E: Exercises for Section 1.5
  11. 1.06: Exponential and Logarithmic Functions
  12. 1.6E: Exercises for Section 1.6
  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 for Section 2.2
  18. 2.03: The Limit of a Function
  19. 2.3E: Exercises for Section 2.3
  20. 2.04: The Limit Laws
  21. 2.4E: Exercises for Section 2.4
  22. 2.05: Continuity
  23. 2.5E: Exercises for Section 2.5
  24. 2.06: The Precise Definition of a Limit
  25. 2.6E: Exercises for Section 2.6
  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 for Section 3.2
  31. 3.03: The Derivative as a Function
  32. 3.3E: Exercises for Section 3.3
  33. 3.04: Differentiation Rules
  34. 3.4E: Exercises for Section 3.4
  35. 3.05: Derivatives as Rates of Change
  36. 3.5E: Exercises for Section 3.5
  37. 3.06: Derivatives of Trigonometric Functions
  38. 3.6E: Exercises for Section 3.6
  39. 3.07: The Chain Rule
  40. 3.7E: Exercises for Section 3.7
  41. 3.08: Derivatives of Inverse Functions
  42. 3.8E: Exercises for Section 3.8
  43. 3.09: Implicit Differentiation
  44. 3.9E: Exercises for Section 3.9
  45. 3.10: Derivatives of Exponential and Logarithmic Functions
  46. 3.10E: Exercises for Section 3.10
  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 for Section 4.2
  52. 4.03: Linear Approximations and Differentials
  53. 4.3E: Exercises for Section 4.3
  54. 4.04: Maxima and Minima
  55. 4.4E: Exercises for Section 4.4
  56. 4.05: The Mean Value Theorem
  57. 4.5E: Exercises for Section 4.5
  58. 4.06: Derivatives and the Shape of a Graph
  59. 4.6E: Exercises for Section 4.6
  60. 4.07: Limits at Infinity and Asymptotes
  61. 4.7E: Exercises for Section 4.7
  62. 4.08: Applied Optimization Problems
  63. 4.8E: Exercises for Section 4.8
  64. 4.09: LHopitals Rule
  65. 4.9E: Exercises for Section 4.9
  66. 4.10: Newtons Method
  67. 4.10E: Exercises for Section 4.10
  68. 4.11: Antiderivatives
  69. 4.11E: Exercises for Section 4.11
  70. 4.12: Chapter 4 Review Exercises
  71. 05: Integration
  72. 5.01: Approximating Areas
  73. 5.1E: Exercises for Section 5.1
  74. 5.02: The Definite Integral
  75. 5.2E: Exercises for Section 5.2
  76. 5.03: The Fundamental Theorem of Calculus
  77. 5.3E: Exercises for Section 5.3
  78. 5.04: Integration Formulas and the Net Change Theorem
  79. 5.4E: Exercises for Section 5.4
  80. 5.05: Substitution
  81. 5.5E: Exercises for Section 5.5
  82. 5.06: Integrals Involving Exponential and Logarithmic Functions
  83. 5.6E: Exercises for Section 5.6
  84. 5.07: Integrals Resulting in Inverse Trigonometric Functions
  85. 5.7E: Exercises for Section 5.7
  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 for Section 6.1
  91. 6.03: Determining Volumes by Slicing
  92. 6.3E: Exercises for Section 6.2
  93. 6.04: Volumes of Revolution - Cylindrical Shells
  94. 6.4E: Exercises for Section 6.3
  95. 6.05: Arc Length of a Curve and Surface Area
  96. 6.5E: Exercises for Section 6.4
  97. 6.06: Physical Applications of Integration
  98. 6.6E: Exercises for Section 6.5
  99. 6.07: Moments and Centers of Mass
  100. 6.7E: Exercises for Section 6.6
  101. 6.08: Integrals Exponential Functions and Logarithms
  102. 6.8E: Exercises for Section 6.7
  103. 6.09: Exponential Growth and Decay
  104. 6.9E: Exercises for Section 6.8
  105. 6.10: Calculus of the Hyperbolic Functions
  106. 6.10E: Exercises for Section 6.9
  107. 6.11: Chapter 6 Review Exercises
  108. 07: Appendices
  109. 7.01: A- Table of Derivatives
  110. 7.02: B- Table of Integrals