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Math 384: Foundations for Calculus

Nguồn ngoài

Math 384: Foundations for Calculus

Mathematics
Tác giả
Roy Simpson
Nhà xuất bản
Cosumnes River College
Nguồn
LibreTexts
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 162 mục
  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