Math 375: Pre-Calculus

by Roy Simpson, Sangchin Sertich & Paige Buck-Moyer

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Publisher
Cosumnes River College
Subjects
Mathematics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
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. Chapter 1: Triangles and Circles
  7. 1.1: Angles and Basic Geometry
  8. 1.1.1: Resources and Key Concepts
  9. 1.1.2: Homework
  10. 1.2: Triangles
  11. 1.2.1: Resources and Key Concepts
  12. 1.2.2: Homework
  13. 1.3: Similar Triangles
  14. 1.3.1: Resources and Key Concepts
  15. 1.3.2: Homework
  16. 1.4: Circles and Angles in the Rectangular Coordinate System
  17. 1.4.1: Resources and Key Concepts
  18. 1.4.2: Homework
  19. Chapter 2: Functions
  20. 2.1: Functions and Function Notation
  21. 2.1.1: Resources and Key Concepts
  22. 2.1.2: Homework
  23. 2.2: Domain and Range
  24. 2.2.1: Resources and Key Concepts
  25. 2.2.2: Homework
  26. 2.3: The Arithmetic and Composition of Functions
  27. 2.3.1: Resources and Key Concepts
  28. 2.3.2: Homework
  29. 2.4: Behavior of Graphs of Functions
  30. 2.4.1: Resources and Key Concepts
  31. 2.4.2: Homework
  32. 2.5: Transformations of Functions
  33. 2.5.1: Resources and Key Concepts
  34. 2.5.2: Homework
  35. 2.6: Absolute Value Functions
  36. 2.6.1: Resources and Key Concepts
  37. 2.6.2: Homework
  38. 2.7: Inverse Functions
  39. 2.7.1: Resources and Key Concepts
  40. 2.7.2: Homework
  41. Chapter 3: Coordinate Trigonometry
  42. 3.1: The Trigonometric Functions - Coordinate Definition
  43. 3.1.1: Resources and Key Concepts
  44. 3.1.2: Homework
  45. 3.2: Algebra with Trigonometric Functions
  46. 3.2.1: Resources and Key Concepts
  47. 3.2.2: Homework
  48. 3.3: Introduction to Trigonometric Identities
  49. 3.3.1: Resources and Key Concepts
  50. 3.3.2: Homework
  51. 3.4: Introduction to Proofs in Trigonometry
  52. 3.4.1: Resources and Key Concepts
  53. 3.4.2: Homework
  54. Chapter 4: Right Triangle Trigonometry
  55. 4.1: The Trigonometric Functions - Right Triangle Definition
  56. 4.1.1: Resources and Key Concepts
  57. 4.1.2: Homework
  58. 4.2: Technology and Right Triangle Trigonometry
  59. 4.2.1: Resources and Key Concepts
  60. 4.2.2: Homework
  61. 4.3: Solving Right Triangles
  62. 4.3.1: Resources and Key Concepts
  63. 4.3.2: Homework
  64. 4.4: Applications Involving Right Triangles
  65. 4.4.1: Resources and Key Concepts
  66. 4.4.2: Homework
  67. Chapter 5: Polynomial and Rational Functions
  68. 5.1: Complex Numbers
  69. 5.1.1: Resources and Key Concepts
  70. 5.1.2: Homework
  71. 5.2: Quadratic Functions
  72. 5.2.1: Resources and Key Concepts
  73. 5.2.2: Homework
  74. 5.3: Power Functions and Polynomial Functions
  75. 5.3.1: Resources and Key Concepts
  76. 5.3.2: Homework
  77. 5.4: Graphs of Polynomial Functions
  78. 5.4.1: Resources and Key Concepts
  79. 5.4.2: Homework
  80. 5.5: Dividing Polynomials
  81. 5.5.1: Resources and Key Concepts
  82. 5.5.2: Homework
  83. 5.6: Zeros of Polynomial Functions
  84. 5.6.1: Resources and Key Concepts
  85. 5.6.2: Homework
  86. 5.7: Rational Functions
  87. 5.7.1: Resources and Key Concepts
  88. 5.7.2: Homework
  89. 5.8: Revisiting Inverses
  90. 5.8.1: Resources and Key Concepts
  91. 5.8.2: Homework
  92. Chapter 6: Radical Functions
  93. 6.1: Radical Expressions Encountered in Calculus
  94. 6.1.1: Resources and Key Concepts
  95. 6.1.2: Homework
  96. 6.2: Rational Exponent Expressions Encountered in Calculus
  97. 6.2.1: Resources and Key Concepts
  98. 6.2.2: Homework
  99. 6.3: Radical Equations
  100. 6.3.1: Resources and Key Concepts
  101. 6.3.2: Homework
  102. 6.4: Radical Functions
  103. 6.4.1: Resources and Key Concepts
  104. 6.4.2: Homework
  105. Chapter 7: Radian Measure and the Circular Functions
  106. 7.1: Reference Angles
  107. 7.1.1: Resources and Key Concepts
  108. 7.1.2: Homework
  109. 7.2: Radian Measure and Arc Length
  110. 7.2.1: Resources and Key Concepts
  111. 7.2.2: Homework
  112. 7.3: The Trigonometric Functions - Unit Circle Definition
  113. 7.3.1: Resources and Key Concepts
  114. 7.3.2: Homework
  115. 7.4: Velocities and Areas of Sectors
  116. 7.4.1: Resources and Key Concepts
  117. 7.4.2: Homework
  118. Chapter 8: Graphs of the Trigonometric Functions
  119. 8.1: Base Graphs of the Fundamental Trigonometric Functions
  120. 8.1.1: Resources and Key Concepts
  121. 8.1.2: Homework
  122. 8.2: Non-Rigid Transformations
  123. 8.2.1: Resources and Key Concepts
  124. 8.2.2: Homework
  125. 8.3: Rigid Transformations
  126. 8.3.1: Resources and Key Concepts
  127. 8.3.2: Homework
  128. 8.4: Sinusoidal Models
  129. 8.4.1: Resources and Key Concepts
  130. 8.4.2: Homework
  131. 8.5: Harmonic Motion
  132. 8.5.1: Resources and Key Concepts
  133. 8.5.2: Homework
  134. 8.6: Graphs of the Remaining Trigonometric Functions
  135. 8.6.1: Resources and Key Concepts
  136. 8.6.2: Homework
  137. Chapter 9: Analytic Trigonometry
  138. 9.1: Basic Trigonometric Identities and Proof Techniques
  139. 9.1.1: Resources and Key Concepts
  140. 9.1.2: Homework
  141. 9.2: Sum and Difference Identities
  142. 9.2.1: Resources and Key Concepts
  143. 9.2.2: Homework
  144. 9.3: Double-Angle Identities
  145. 9.3.1: Resources and Key Concepts
  146. 9.3.2: Homework
  147. 9.4: Half-Angle and Power Reduction Identities
  148. 9.4.1: Resources and Key Concepts
  149. 9.4.2: Homework
  150. 9.5: Sum-to-Product and Product-to-Sum Identities
  151. 9.5.1: Resources and Key Concepts
  152. 9.5.2: Homework
  153. Chapter 10: Trigonometric Equations
  154. 10.1: The Fundamental Inverse Trigonometric Functions
  155. 10.1.1: Resources and Key Concepts
  156. 10.1.2: Homework
  157. 10.2: The Remaining Inverse Trigonometric Functions
  158. 10.2.1: Resources and Key Concepts
  159. 10.2.2: Homework
  160. 10.3: Solving Trigonometric Equations - Algebraic Techniques
  161. 10.3.1: Resources and Key Concepts
  162. 10.3.2: Homework
  163. 10.4: Solving Trigonometric Equations Using Identities
  164. 10.4.1: Resources and Key Concepts
  165. 10.4.2: Homework
  166. Chapter 11: Non-Right Triangle Trigonometry
  167. 11.1: The Law of Sines
  168. 11.1.1: Resources and Key Concepts
  169. 11.1.2: Homework
  170. 11.2: The Law of Cosines
  171. 11.2.1: Resources and Key Concepts
  172. 11.2.2: Homework
  173. 11.3: Areas
  174. 11.3.1: Resources and Key Concepts
  175. 11.3.2: Homework
  176. 11.4: Vectors - A Geometric Approach
  177. 11.4.1: Resources and Key Concepts
  178. 11.4.2: Homework
  179. 11.5: Vectors - An Algebraic Approach
  180. 11.5.1: Resources and Key Concepts
  181. 11.5.2: Homework
  182. Chapter 12: Polar Coordinates and Complex Numbers
  183. 12.1: Polar Coordinates
  184. 12.1.1: Resources and Key Concepts
  185. 12.1.2: Homework
  186. 12.2: Polar Graphs
  187. 12.2.1: Resources and Key Concepts
  188. 12.2.2: Homework
  189. 12.3: Complex Numbers
  190. 12.3.1: Resources and Key Concepts
  191. 12.3.2: Homework
  192. 12.4: Polar Form of Complex Numbers
  193. 12.4.1: Resources and Key Concepts
  194. 12.4.2: Homework
  195. Chapter 13: Exponential and Logarithmic Functions
  196. 13.1: Exponential Functions
  197. 13.1.1: Resources and Key Concepts
  198. 13.1.2: Homework
  199. 13.2: Graphs of Exponential Functions
  200. 13.2.1: Resources and Key Concepts
  201. 13.2.2: Homework
  202. 13.3: Logarithmic Functions
  203. 13.3.1: Resources and Key Concepts
  204. 13.3.2: Homework
  205. 13.4: Graphs of Logarithmic Functions
  206. 13.4.1: Resources and Key Concepts
  207. 13.4.2: Homework
  208. 13.5: Laws of Logarithms
  209. 13.5.1: Resources and Key Concepts
  210. 13.5.2: Homework
  211. 13.6: Exponential and Logarithmic Equations
  212. 13.6.1: Resources and Key Concepts
  213. 13.6.2: Homework
  214. 13.7: Exponential and Logarithmic Models
  215. 13.7.1: Resources and Key Concepts
  216. 13.7.2: Homework
  217. Chapter 14: Sequences, Summations, and Logic
  218. 14.1: Sequences and Their Notations
  219. 14.1.1: Resources and Key Concepts
  220. 14.1.2: Homework
  221. 14.2: Arithmetic Sequences
  222. 14.2.1: Resources and Key Concepts
  223. 14.2.2: Homework
  224. 14.3: Geometric Sequences
  225. 14.3.1: Resources and Key Concepts
  226. 14.3.2: Homework
  227. 14.4: Series and Their Notations
  228. 14.4.1: Resources and Key Concepts
  229. 14.4.2: Homework
  230. 14.5: Mathematical Induction
  231. 14.5.1: Resources and Key Concepts
  232. 14.5.2: Homework
  233. 14.6: Binomial Theorem
  234. 14.6.1: Resources and Key Concepts
  235. 14.6.2: Homework
  236. Chapter 15: Analytic Geometry
  237. 15.1: The Ellipse
  238. 15.1.1: Resources and Key Concepts
  239. 15.1.2: Homework
  240. 15.2: The Hyperbola
  241. 15.2.1: Resources and Key Concepts
  242. 15.2.2: Homework
  243. 15.3: The Parabola
  244. 15.3.1: Resources and Key Concepts
  245. 15.3.2: Homework
  246. Chapter 16: Systems of Equations and Inequalities
  247. 16.1: Systems of Linear Equations - Two Variables
  248. 16.1.1: Resources and Key Concepts
  249. 16.1.2: Homework
  250. 16.2: Systems of Linear Equations - Three Variables
  251. 16.2.1: Resources and Key Concepts
  252. 16.2.2: Homework
  253. 16.3: Systems of Nonlinear Equations and Inequalities - Two Variables
  254. 16.3.1: Resources and Key Concepts
  255. 16.3.2: Homework
  256. Back Matter
  257. Index
  258. Glossary
  259. Detailed Licensing
  260. Detailed Licensing