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Math 384: Foundations for Calculus

External

Math 384: Foundations for Calculus

Mathematics
Author
Roy Simpson
Publisher
Cosumnes River College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 162 sections
  1. 01: Functions
  2. 1.01: Functions and Function Notation
  3. 1.1.01: Resources and Key Concepts
  4. 1.1.02: Homework
  5. 1.02: Domain and Range
  6. 1.2.01: Resources and Key Concepts
  7. 1.2.02: Homework
  8. 1.03: The Arithmetic and Composition of Functions
  9. 1.3.01: Resources and Key Concepts
  10. 1.3.02: Homework
  11. 1.04: Transformations of Functions
  12. 1.4.01: Resources and Key Concepts
  13. 1.4.02: Homework
  14. 1.05: Absolute Value Functions
  15. 1.5.01: Resources and Key Concepts
  16. 1.5.02: Homework
  17. 1.06: Inverse Functions
  18. 1.6.01: Resources and Key Concepts
  19. 1.6.02: Homework
  20. 02: Polynomial and Rational Functions
  21. 2.01: Quadratic Functions
  22. 2.1.01: Resources and Key Concepts
  23. 2.1.02: Homework
  24. 2.02: Power Functions and Polynomial Functions
  25. 2.2.01: Resources and Key Concepts
  26. 2.2.02: Homework
  27. 2.03: Graphs of Polynomial Functions
  28. 2.3.01: Resources and Key Concepts
  29. 2.3.02: Homework
  30. 2.04: Dividing Polynomials
  31. 2.4.01: Resources and Key Concepts
  32. 2.4.02: Homework
  33. 2.05: Rational Functions
  34. 2.5.01: Resources and Key Concepts
  35. 2.5.02: Homework
  36. 03: Inverse and Radical Functions
  37. 3.01: Inverse Functions
  38. 3.1.01: Resources and Key Concepts
  39. 3.1.02: Homework
  40. 3.02: Radical Functions
  41. 3.2.01: Resources and Key Concepts
  42. 3.2.02: Homework
  43. 3.03: Radical Equations
  44. 3.3.01: Resources and Key Concepts
  45. 3.3.02: Homework
  46. 3.04: Rational Exponent Expressions Encountered in Calculus
  47. 3.4.01: Resources and Key Concepts
  48. 3.4.02: Homework
  49. 04: Triangles and Circles
  50. 4.01: Angles and Basic Geometry
  51. 4.1.01: Resources and Key Concepts
  52. 4.1.02: Homework
  53. 4.02: Triangles
  54. 4.2.01: Resources and Key Concepts
  55. 4.2.02: Homework
  56. 4.03: Similar Triangles
  57. 4.3.01: Resources and Key Concepts
  58. 4.3.02: Homework
  59. 4.04: Circles and Angles in the Rectangular Coordinate System
  60. 4.4.01: Resources and Key Concepts
  61. 4.4.02: Homework
  62. 05: Coordinate Trigonometry
  63. 5.01: The Trigonometric Functions - Coordinate Definition
  64. 5.1.01: Resources and Key Concepts
  65. 5.1.02: Homework
  66. 5.02: Algebra with Trigonometric Functions
  67. 5.2.01: Resources and Key Concepts
  68. 5.2.02: Homework
  69. 5.03: Introduction to Trigonometric Identities
  70. 5.3.01: Resources and Key Concepts
  71. 5.3.02: Homework
  72. 5.04: Introduction to Proofs in Trigonometry
  73. 5.4.01: Resources and Key Concepts
  74. 5.4.02: Homework
  75. 06: Right Triangle Trigonometry
  76. 6.01: The Trigonometric Functions - Right Triangle Definition
  77. 6.1.01: Resources and Key Concepts
  78. 6.1.02: Homework
  79. 6.02: Technology and Right Triangle Trigonometry
  80. 6.2.01: Resources and Key Concepts
  81. 6.2.02: Homework
  82. 6.03: Solving Right Triangles
  83. 6.3.01: Resources and Key Concepts
  84. 6.3.02: Homework
  85. 6.04: Applications Involving Right Triangles
  86. 6.4.01: Resources and Key Concepts
  87. 6.4.02: Homework
  88. 07: Radian Measure and the Circular Functions
  89. 7.01: Reference Angles
  90. 7.1.01: Resources and Key Concepts
  91. 7.1.02: Homework
  92. 7.02: Radian Measure Arc Length and Sector Area
  93. 7.2.01: Resources and Key Concepts
  94. 7.2.02: Homework
  95. 7.03: The Trigonometric Functions - Unit Circle Definition
  96. 7.3.01: Resources and Key Concepts
  97. 7.3.02: Homework
  98. 08: Graphs of the Trigonometric Functions
  99. 8.01: Base Graphs of the Fundamental Trigonometric Functions
  100. 8.1.01: Resources and Key Concepts
  101. 8.1.02: Homework
  102. 8.02: Non-Rigid Transformations
  103. 8.2.01: Resources and Key Concepts
  104. 8.2.02: Homework
  105. 8.03: Rigid Transformations
  106. 8.3.01: Resources and Key Concepts
  107. 8.3.02: Homework
  108. 8.04: Graphs of the Remaining Trigonometric Functions
  109. 8.4.01: Resources and Key Concepts
  110. 8.4.02: Homework
  111. 09: Analytic Trigonometry
  112. 9.01: Basic Trigonometric Identities and Proof Techniques
  113. 9.1.01: Resources and Key Concepts
  114. 9.1.02: Homework
  115. 9.02: Sum and Difference Identities
  116. 9.2.01: Resources and Key Concepts
  117. 9.2.02: Homework
  118. 9.03: Double-Angle Identities
  119. 9.3.01: Resources and Key Concepts
  120. 9.3.02: Homework
  121. 10: Trigonometric Equations
  122. 10.01: The Fundamental Inverse Trigonometric Functions
  123. 10.1.01: Resources and Key Concepts
  124. 10.1.02: Homework
  125. 10.02: The Remaining Inverse Trigonometric Functions
  126. 10.2.01: Resources and Key Concepts
  127. 10.2.02: Homework
  128. 10.03: Solving Trigonometric Equations - Algebraic Techniques
  129. 10.3.01: Resources and Key Concepts
  130. 10.3.02: Homework
  131. 10.04: Solving Trigonometric Equations Using Identities
  132. 10.4.01: Resources and Key Concepts
  133. 10.4.02: Homework
  134. 11: Non-Right Triangle Trigonometry
  135. 11.01: The Law of Sines
  136. 11.1.01: Resources and Key Concepts
  137. 11.1.02: Homework
  138. 11.02: The Law of Cosines
  139. 11.2.01: Resources and Key Concepts
  140. 11.2.02: Homework
  141. 12: Exponential and Logarithmic Functions
  142. 12.01: Exponential Functions
  143. 12.1.01: Resources and Key Concepts
  144. 12.1.02: Homework
  145. 12.02: Graphs of Exponential Functions
  146. 12.2.01: Resources and Key Concepts
  147. 12.2.02: Homework
  148. 12.03: Logarithmic Functions
  149. 12.3.01: Resources and Key Concepts
  150. 12.3.02: Homework
  151. 12.04: Graphs of Logarithmic Functions
  152. 12.4.01: Resources and Key Concepts
  153. 12.4.02: Homework
  154. 12.05: Laws of Logarithms
  155. 12.5.01: Resources and Key Concepts
  156. 12.5.02: Homework
  157. 12.06: Exponential and Logarithmic Equations
  158. 12.6.01: Resources and Key Concepts
  159. 12.6.02: Homework
  160. 12.07: Exponential and Logarithmic Models
  161. 12.7.01: Resources and Key Concepts
  162. 12.7.02: Homework