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Mathematics for the Liberal Arts

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Mathematics for the Liberal Arts

Mathematics
Publisher
Lumen Learning
Source
LibreTexts
Language
EN
Category
Basic Sciences
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Contents· 226 sections
  1. 02: Mathematics for the Liberal Arts
  2. 2.01: Course Overview
  3. 2.02: Table of Contents
  4. 2.03: Sample Syllabus
  5. 03: Faculty Resources
  6. 3.01: Assessments
  7. 04: Module 1- General Problem Solving
  8. 4.01: Module 1 Overview
  9. 4.02: Discuss- Introduce Yourself to the Class
  10. 4.03: Problem Solving
  11. 4.04: Test Page
  12. 4.05: Supplemental Videos
  13. 4.06: Optional Discussion Boards
  14. 4.07: Discuss- Problem Solving Application
  15. 4.08: Discuss- Math Editor Practice (Blackboard)
  16. 4.09: Problem Solving Exercises
  17. 05: Growth Models
  18. 5.01: Linear (Algebraic) Growth
  19. 5.02: Exponential (Geometric) Growth
  20. 5.03: Solve Exponentials for Time- Logarithms
  21. 5.04: Logistic Growth
  22. 5.05: Exercises
  23. 06: Module 2- Geometry
  24. 6.01: Module 2 Overview
  25. 6.02: Perimeter and Area
  26. 6.03: Triangles
  27. 6.04: Volume
  28. 6.05: Surface Area
  29. 6.06: Graph Theory
  30. 6.07: Supplemental Videos
  31. 6.08: Topology Tiling and Non-Euclidean Geometry
  32. 6.09: Discuss- Application of Geometry
  33. 07: Finance
  34. 7.01: Simple Interest
  35. 7.02: Compound Interest
  36. 7.03: Annuities
  37. 7.04: Payout Annuities
  38. 7.05: Loans
  39. 7.06: Remaining Loan Balance
  40. 7.07: Which Equation to Use
  41. 7.08: Solving for Time
  42. 7.09: Exercises
  43. 08: Topic F- Using a Calculator
  44. 8.01: F1.01 Beginning and Example 3
  45. 8.02: F1.02- Examples 4-5
  46. 8.03: F1.03- Example 6
  47. 8.04: F1.04- Exercises
  48. 09: Describing Data
  49. 9.01: Presenting Categorical Data Graphically
  50. 9.02: Presenting Quantitative Data Graphically
  51. 9.03: Measures of Central Tendency
  52. 9.04: Measures of Variation
  53. 9.05: Exercises
  54. 10: Sets
  55. 10.01: Basics
  56. 10.02: Union Intersection and Complement
  57. 10.03: Venn Diagrams
  58. 10.04: Cardinality
  59. 10.05: Exercises
  60. 11: Statistics
  61. 11.01: Module Overview
  62. 11.02: Populations and Samples
  63. 11.03: Categorizing Data
  64. 11.04: Sampling Methods
  65. 11.05: How to Mess Things Up Before You Start
  66. 11.06: Experiments
  67. 11.07: Describing Data
  68. 11.08: Understanding Normal Distribution
  69. 11.09: The Empirical Rule
  70. 11.10: Z-Scores
  71. 11.11: Supplemental Videos
  72. 11.12: Regression and Correlation
  73. 11.13: Exercises
  74. 12: Module 3- Set Theory
  75. 12.01: Module 3 Overview
  76. 12.02: Set Theory
  77. 12.03: Supplemental Videos
  78. 12.04: Verbal Roster and Set-Builder Notation for a Set
  79. 12.05: Consider a Set
  80. 12.06: Helpful Links
  81. 12.07: Discuss- Application of Set Theory
  82. 13: Module 4- Logic
  83. 13.01: Module 4 Overview
  84. 13.02: Logic
  85. 13.03: Truth Tables and Analyzing Arguments- Examples
  86. 13.04: Truth Tables- Conjunction and Disjunction
  87. 13.05: Truth Tables- Implication
  88. 13.06: Analyzing Arguments with Truth Tables
  89. 13.07: Negating all some or no statements
  90. 13.08: Discuss- Truth Table Practice
  91. 13.09: Discuss- Logic Application
  92. 14: Module 5- Numeration Systems
  93. 14.01: Module 5 Overview
  94. 14.02: Numeration
  95. 14.03: Supplemental Videos
  96. 14.04: Binary Octal and Hexadecimal
  97. 14.05: Discuss- Numeration Application
  98. 15: Module 6- Consumer Math
  99. 15.01: Module 6 Overview
  100. 15.02: Consumer Math
  101. 15.03: Supplemental Videos
  102. 15.04: Average Daily Balance
  103. 15.05: How an Amortization Schedule is Calculated
  104. 15.06: Discuss- Consumer Math Application
  105. 15.07: Discuss- Final Reflection
  106. 16: Topic G- Linear Equations Algebra and Spreadsheets
  107. 16.01: G1.01- Intro and Slope
  108. 16.02: G1.02- Intercepts and Example 3
  109. 16.03: G1.03- Examples 4-7
  110. 16.04: G1.04- Examples 8-14
  111. 16.05: G1.05- Exploring by Graphing Part I
  112. 16.06: G1.06- Exploring by Graphing Part II
  113. 16.07: G1.07- Section 4
  114. 16.08: G1.08- Exercises
  115. 17: Topic K- Finance
  116. 17.01: K1.01- Simple and Compound Interest
  117. 17.02: K1.02- Savings Plans
  118. 17.03: K1.03- Installment Loans
  119. 17.04: K1.04- Exercises
  120. 18: Topic L- Automated Fitting of Models Comparative Goodness of Fit and Outliers
  121. 18.01: L1.02- Section 1
  122. 18.02: L1.03- Section 2
  123. 18.03: L1.04- Section 3
  124. 18.04: L1.05- Section 4
  125. 18.05: L1.06- Section 5
  126. 18.06: L1.07- Section 6
  127. 18.07: L1.08- Section 7
  128. 18.08: L1.09- Section 8
  129. 18.09: L1.10- Exercises
  130. 18.10: L1.01- Overview
  131. 19: Topic M- Power Functions and Using Logarithmic Graphs
  132. 19.01: M1.01- Introduction
  133. 19.02: M1.02- Power Models Part I
  134. 19.03: M1.03- Power Models Part II
  135. 19.04: M1.04- Why We Use Logarithms
  136. 19.05: M1.05- Finding Logarithms
  137. 19.06: M1.06- Logarithmic Graphs Part I
  138. 19.07: M1.07- Logarithmic Graphs Part II
  139. 19.08: M1.08- Exercises
  140. 20: Topic H- Linear Formulas Word Problems
  141. 20.01: H1.01- Overview
  142. 20.02: H1.02- Example 1
  143. 20.03: H1.03- Example 2
  144. 20.04: H1.04- Example 3
  145. 20.05: H1.05- Example 3 Alternative Method
  146. 20.06: H1.06- Example 4
  147. 20.07: H1.07- Interpreting the Slope and Intercept
  148. 20.08: H1.08- Exercises
  149. 21: Topic I- Linear and Quadratic Models
  150. 21.01: I1.01- Overview
  151. 21.02: I1.02- Section 1
  152. 21.03: I1.03- Section 2
  153. 21.04: I1.04- Section 3 Part 1
  154. 21.05: I1.05- Section 3 Part 2
  155. 21.06: I1.06- Section 4
  156. 21.07: I1.07- Section 5 Part 1
  157. 21.08: I1.08- Section 5 Part 2
  158. 21.09: I1.09- Section 6
  159. 21.10: I1.10- Section 7
  160. 21.11: I1.11- Section 8
  161. 21.12: I1.12- Exercises
  162. 22: Topic J- Exponential Models and Model Comparison Techniques
  163. 22.01: J1.01- Overview
  164. 22.02: J1.02- Section 1 Part 1
  165. 22.03: J1.03- Section 1 Part 2
  166. 22.04: J1.04- Section 1 Part 3
  167. 22.05: J1.05- Section 1 Part 4
  168. 22.06: J1.06- Section 2 Part 1
  169. 22.07: J1.07- Section 2 Example 6
  170. 22.08: J1.08- Section 3
  171. 22.09: J1.09- Section 4 Part 1
  172. 22.10: J1.10- Section 4 Part 2
  173. 22.11: J1.11- Exercises
  174. 23: Topic C- Communicating Precision of Approximate Numbers
  175. 23.01: C1.01 Overview
  176. 23.02: C1.02- Reporting
  177. 23.03: C1.03- Rounding
  178. 23.04: C1.04- Precision
  179. 23.05: C1.05- Interval Part 1
  180. 23.06: C1.06- Interval Part 2
  181. 23.07: C1.07- Interval Part 3
  182. 23.08: C1.08- Interval Part 4
  183. 23.09: C1.09- Exercises
  184. 24: Topic E- Using a Spreadsheet
  185. 24.01: E1.11- Exercises
  186. 24.02: E1.01- Overview
  187. 24.03: E1.02- Section 2 Part 1
  188. 24.04: E1.03- Section 2 Part 2
  189. 24.05: E1.04- Section 2 Part 3
  190. 24.06: E1.05- Graphs Part 1
  191. 24.07: E1.06- Graphs Part 2
  192. 24.08: E1.07- Section 4
  193. 24.09: E1.08- Section 5
  194. 24.10: E1.09- Section 6 Part 1
  195. 24.11: E1.10- Section 6 Part 2
  196. 25: Topic O- Combining Modeling Formulas
  197. 25.01: O.01- Overview
  198. 25.02: O.02- Section 1 Part 1
  199. 25.03: O.03- Section 1 Part 2
  200. 25.04: O.04- Section 2
  201. 25.05: O.05- Section 3
  202. 25.06: O.06- Section 4
  203. 26: Topic N- Additional Useful Modeling Formulas
  204. 26.01: N1.01- Overview
  205. 26.02: N1.02- Section 1
  206. 26.03: N1.03- Section 2 Part 1
  207. 26.04: N1.04- Section 2 Part 2
  208. 26.05: N1.05- Section 2 Part 3
  209. 26.06: N1.06- Section 3 Part 1
  210. 26.07: N1.07- Section 3 Part 2
  211. 26.08: N1.08- Section 4
  212. 26.09: N1.09- Section 5
  213. 26.10: N1.10- Exercises
  214. 27: Topic B- Solving Equations Evaluating Expressions and Checking Your Work
  215. 27.01: B1.01- Introduction
  216. 27.02: B1.02- Section 1
  217. 27.03: B1.03- Section 2
  218. 27.04: B1.04- Section 3
  219. 27.05: B1.05- Section 4
  220. 27.06: B1.06- Exercises
  221. 28: Topic D- FormulasComputing and Graphing
  222. 28.01: D1.01- Introduction
  223. 28.02: D1.02- Examples 25
  224. 28.03: D1.03- Examples 69
  225. 28.04: D1.04- Examples 1011
  226. 28.05: D1.05- Exercises