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Math 375: Pre-Calculus

Nguồn ngoài

Math 375: Pre-Calculus

Mathematics
Tác giả
Roy Simpson, Sangchin Sertich & Paige Buck-Moyer
Nhà xuất bản
Cosumnes River College
Nguồn
LibreTexts
Giấy phép
CC BY-NC-SA
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 250 mục
  1. 01: Triangles and Circles
  2. 1.01: Angles and Basic Geometry
  3. 1.1.01: Resources and Key Concepts
  4. 1.1.02: Homework
  5. 1.02: Triangles
  6. 1.2.01: Resources and Key Concepts
  7. 1.2.02: Homework
  8. 1.03: Similar Triangles
  9. 1.3.01: Resources and Key Concepts
  10. 1.3.02: Homework
  11. 1.04: Circles and Angles in the Rectangular Coordinate System
  12. 1.4.01: Resources and Key Concepts
  13. 1.4.02: Homework
  14. 02: Functions
  15. 2.01: Functions and Function Notation
  16. 2.1.01: Resources and Key Concepts
  17. 2.1.02: Homework
  18. 2.02: Domain and Range
  19. 2.2.01: Resources and Key Concepts
  20. 2.2.02: Homework
  21. 2.03: The Arithmetic and Composition of Functions
  22. 2.3.01: Resources and Key Concepts
  23. 2.3.02: Homework
  24. 2.04: Behavior of Graphs of Functions
  25. 2.4.01: Resources and Key Concepts
  26. 2.4.02: Homework
  27. 2.05: Transformations of Functions
  28. 2.5.01: Resources and Key Concepts
  29. 2.5.02: Homework
  30. 2.06: Absolute Value Functions
  31. 2.6.01: Resources and Key Concepts
  32. 2.6.02: Homework
  33. 2.07: Inverse Functions
  34. 2.7.01: Resources and Key Concepts
  35. 2.7.02: Homework
  36. 03: Coordinate Trigonometry
  37. 3.01: The Trigonometric Functions - Coordinate Definition
  38. 3.1.01: Resources and Key Concepts
  39. 3.1.02: Homework
  40. 3.02: Algebra with Trigonometric Functions
  41. 3.2.01: Resources and Key Concepts
  42. 3.2.02: Homework
  43. 3.03: Introduction to Trigonometric Identities
  44. 3.3.01: Resources and Key Concepts
  45. 3.3.02: Homework
  46. 3.04: Introduction to Proofs in Trigonometry
  47. 3.4.01: Resources and Key Concepts
  48. 3.4.02: Homework
  49. 04: Right Triangle Trigonometry
  50. 4.01: The Trigonometric Functions - Right Triangle Definition
  51. 4.1.01: Resources and Key Concepts
  52. 4.1.02: Homework
  53. 4.02: Technology and Right Triangle Trigonometry
  54. 4.2.01: Resources and Key Concepts
  55. 4.2.02: Homework
  56. 4.03: Solving Right Triangles
  57. 4.3.01: Resources and Key Concepts
  58. 4.3.02: Homework
  59. 4.04: Applications Involving Right Triangles
  60. 4.4.01: Resources and Key Concepts
  61. 4.4.02: Homework
  62. 05: Polynomial and Rational Functions
  63. 5.01: Complex Numbers
  64. 5.1.01: Resources and Key Concepts
  65. 5.1.02: Homework
  66. 5.02: Quadratic Functions
  67. 5.2.01: Resources and Key Concepts
  68. 5.2.02: Homework
  69. 5.03: Power Functions and Polynomial Functions
  70. 5.3.01: Resources and Key Concepts
  71. 5.3.02: Homework
  72. 5.04: Graphs of Polynomial Functions
  73. 5.4.01: Resources and Key Concepts
  74. 5.4.02: Homework
  75. 5.05: Dividing Polynomials
  76. 5.5.01: Resources and Key Concepts
  77. 5.5.02: Homework
  78. 5.06: Zeros of Polynomial Functions
  79. 5.6.01: Resources and Key Concepts
  80. 5.6.02: Homework
  81. 5.07: Rational Functions
  82. 5.7.01: Resources and Key Concepts
  83. 5.7.02: Homework
  84. 5.08: Revisiting Inverses
  85. 5.8.01: Resources and Key Concepts
  86. 5.8.02: Homework
  87. 06: Radical Functions
  88. 6.01: Radical Expressions Encountered in Calculus
  89. 6.1.01: Resources and Key Concepts
  90. 6.1.02: Homework
  91. 6.02: Rational Exponent Expressions Encountered in Calculus
  92. 6.2.01: Resources and Key Concepts
  93. 6.2.02: Homework
  94. 6.03: Radical Equations
  95. 6.3.01: Resources and Key Concepts
  96. 6.3.02: Homework
  97. 6.04: Radical Functions
  98. 6.4.01: Resources and Key Concepts
  99. 6.4.02: Homework
  100. 07: Radian Measure and the Circular Functions
  101. 7.01: Reference Angles
  102. 7.1.01: Resources and Key Concepts
  103. 7.1.02: Homework
  104. 7.02: Radian Measure and Arc Length
  105. 7.2.01: Resources and Key Concepts
  106. 7.2.02: Homework
  107. 7.03: The Trigonometric Functions - Unit Circle Definition
  108. 7.3.01: Resources and Key Concepts
  109. 7.3.02: Homework
  110. 7.04: Velocities and Areas of Sectors
  111. 7.4.01: Resources and Key Concepts
  112. 7.4.02: Homework
  113. 08: Graphs of the Trigonometric Functions
  114. 8.01: Base Graphs of the Fundamental Trigonometric Functions
  115. 8.1.01: Resources and Key Concepts
  116. 8.1.02: Homework
  117. 8.02: Non-Rigid Transformations
  118. 8.2.01: Resources and Key Concepts
  119. 8.2.02: Homework
  120. 8.03: Rigid Transformations
  121. 8.3.01: Resources and Key Concepts
  122. 8.3.02: Homework
  123. 8.04: Sinusoidal Models
  124. 8.4.01: Resources and Key Concepts
  125. 8.4.02: Homework
  126. 8.05: Harmonic Motion
  127. 8.5.01: Resources and Key Concepts
  128. 8.5.02: Homework
  129. 8.06: Graphs of the Remaining Trigonometric Functions
  130. 8.6.01: Resources and Key Concepts
  131. 8.6.02: Homework
  132. 09: Analytic Trigonometry
  133. 9.01: Basic Trigonometric Identities and Proof Techniques
  134. 9.1.01: Resources and Key Concepts
  135. 9.1.02: Homework
  136. 9.02: Sum and Difference Identities
  137. 9.2.01: Resources and Key Concepts
  138. 9.2.02: Homework
  139. 9.03: Double-Angle Identities
  140. 9.3.01: Resources and Key Concepts
  141. 9.3.02: Homework
  142. 9.04: Half-Angle and Power Reduction Identities
  143. 9.4.01: Resources and Key Concepts
  144. 9.4.02: Homework
  145. 9.05: Sum-to-Product and Product-to-Sum Identities
  146. 9.5.01: Resources and Key Concepts
  147. 9.5.02: Homework
  148. 10: Trigonometric Equations
  149. 10.01: The Fundamental Inverse Trigonometric Functions
  150. 10.1.01: Resources and Key Concepts
  151. 10.1.02: Homework
  152. 10.02: The Remaining Inverse Trigonometric Functions
  153. 10.2.01: Resources and Key Concepts
  154. 10.2.02: Homework
  155. 10.03: Solving Trigonometric Equations - Algebraic Techniques
  156. 10.3.01: Resources and Key Concepts
  157. 10.3.02: Homework
  158. 10.04: Solving Trigonometric Equations Using Identities
  159. 10.4.01: Resources and Key Concepts
  160. 10.4.02: Homework
  161. 11: Non-Right Triangle Trigonometry
  162. 11.01: The Law of Sines
  163. 11.1.01: Resources and Key Concepts
  164. 11.1.02: Homework
  165. 11.02: The Law of Cosines
  166. 11.2.01: Resources and Key Concepts
  167. 11.2.02: Homework
  168. 11.03: Areas
  169. 11.3.01: Resources and Key Concepts
  170. 11.3.02: Homework
  171. 11.04: Vectors - A Geometric Approach
  172. 11.4.01: Resources and Key Concepts
  173. 11.4.02: Homework
  174. 11.05: Vectors - An Algebraic Approach
  175. 11.5.01: Resources and Key Concepts
  176. 11.5.02: Homework
  177. 12: Polar Coordinates and Complex Numbers
  178. 12.01: Polar Coordinates
  179. 12.1.01: Resources and Key Concepts
  180. 12.1.02: Homework
  181. 12.02: Polar Graphs
  182. 12.2.01: Resources and Key Concepts
  183. 12.2.02: Homework
  184. 12.03: Complex Numbers
  185. 12.3.01: Resources and Key Concepts
  186. 12.3.02: Homework
  187. 12.04: Polar Form of Complex Numbers
  188. 12.4.01: Resources and Key Concepts
  189. 12.4.02: Homework
  190. 13: Exponential and Logarithmic Functions
  191. 13.01: Exponential Functions
  192. 13.1.01: Resources and Key Concepts
  193. 13.1.02: Homework
  194. 13.02: Graphs of Exponential Functions
  195. 13.2.01: Resources and Key Concepts
  196. 13.2.02: Homework
  197. 13.03: Logarithmic Functions
  198. 13.3.01: Resources and Key Concepts
  199. 13.3.02: Homework
  200. 13.04: Graphs of Logarithmic Functions
  201. 13.4.01: Resources and Key Concepts
  202. 13.4.02: Homework
  203. 13.05: Laws of Logarithms
  204. 13.5.01: Resources and Key Concepts
  205. 13.5.02: Homework
  206. 13.06: Exponential and Logarithmic Equations
  207. 13.6.01: Resources and Key Concepts
  208. 13.6.02: Homework
  209. 13.07: Exponential and Logarithmic Models
  210. 13.7.01: Resources and Key Concepts
  211. 13.7.02: Homework
  212. 14: Sequences Summations and Logic
  213. 14.01: Sequences and Their Notations
  214. 14.1.01: Resources and Key Concepts
  215. 14.1.02: Homework
  216. 14.02: Arithmetic Sequences
  217. 14.2.01: Resources and Key Concepts
  218. 14.2.02: Homework
  219. 14.03: Geometric Sequences
  220. 14.3.01: Resources and Key Concepts
  221. 14.3.02: Homework
  222. 14.04: Series and Their Notations
  223. 14.4.01: Resources and Key Concepts
  224. 14.4.02: Homework
  225. 14.05: Mathematical Induction
  226. 14.5.01: Resources and Key Concepts
  227. 14.5.02: Homework
  228. 14.06: Binomial Theorem
  229. 14.6.01: Resources and Key Concepts
  230. 14.6.02: Homework
  231. 15: Analytic Geometry
  232. 15.01: The Ellipse
  233. 15.1.01: Resources and Key Concepts
  234. 15.1.02: Homework
  235. 15.02: The Hyperbola
  236. 15.2.01: Resources and Key Concepts
  237. 15.2.02: Homework
  238. 15.03: The Parabola
  239. 15.3.01: Resources and Key Concepts
  240. 15.3.02: Homework
  241. 16: Systems of Equations and Inequalities
  242. 16.01: Systems of Linear Equations - Two Variables
  243. 16.1.01: Resources and Key Concepts
  244. 16.1.02: Homework
  245. 16.02: Systems of Linear Equations - Three Variables
  246. 16.2.01: Resources and Key Concepts
  247. 16.2.02: Homework
  248. 16.03: Systems of Nonlinear Equations and Inequalities - Two Variables
  249. 16.3.01: Resources and Key Concepts
  250. 16.3.02: Homework