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Math 100 Liberal Arts Math

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Math 100 Liberal Arts Math

This course provides an introduction to a variety of mathematical topics including the mathematics of finance, set theory, probability, statistics, logic or geometry, and other selected topics. It is designed for students majoring in liberal arts, education or communication.

Mathematics
Author
Nancy Ikeda
Publisher
Fullerton College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 142 sections
  1. 01: Measurement
  2. 1.01: U.S. Customary Measurement System
  3. 1.02: Metric Units of Measurement
  4. 1.03: Temperature and Time
  5. 1.04: Conversion Between the Metric and US Customary Systems of Measurement
  6. 1.05: Chapter Review and Glossary
  7. 1.06: Exercises
  8. 02: Geometry
  9. 2.01: Basic Geometric Concepts
  10. 2.02: Properties of Angles
  11. 2.03: Triangles
  12. 2.04: The Pythagorean Theorem
  13. 2.05: Quadrilaterals
  14. 2.06: Perimeter and Area
  15. 2.07: Circles
  16. 2.08: Solids
  17. 2.09: Trigonometric Functions
  18. 2.10: Right Triangle Trigonometry
  19. 2.11: Chapter Review and Glossary
  20. 2.12: Exercises
  21. 03: Finance
  22. 3.01: Percents
  23. 3.02: Simple Interest
  24. 3.03: Compound Interest
  25. 3.04: Annuities
  26. 3.05: Loans
  27. 3.06: Which equation to use
  28. 3.07: Solving for Time
  29. 3.08: Credit Cards
  30. 3.09: Basic Budgeting
  31. 3.10: Extension- Taxes
  32. 3.11: Income Taxation
  33. 3.12: Chapter Review and Glossary
  34. 3.13: Exercises
  35. 04: Sets
  36. 4.01: Basics of Sets
  37. 4.02: Union Intersection and Complement
  38. 4.03: Venn Diagrams
  39. 4.04: Cardinality
  40. 4.05: Chapter Review and Glossary
  41. 4.06: Exercises
  42. 05: Logic
  43. 5.01: Logic Statements
  44. 5.02: Truth Tables- Conjunction (and) Disjunction (or) Negation (not)
  45. 5.03: Truth Tables- Conditional Biconditional
  46. 5.04: Arguments with Truth Tables
  47. 5.05: Forms of Valid and Invalid Arguments
  48. 5.06: Arguments with Euler Diagrams
  49. 5.07: Logical Fallacies in Common Language
  50. 5.08: Chapter Review and Glossary
  51. 5.09: Exercises
  52. 06: Probability
  53. 6.01: Basic Probability Concepts
  54. 6.02: Probability Rules with Not Or and And
  55. 6.03: Independent Events and Conditional Probabilities
  56. 6.04: Counting Methods
  57. 6.05: Odds and Expected Value
  58. 6.06: Bayes Theorem
  59. 6.07: Chapter Review and Glossary
  60. 6.08: Exercises
  61. 07: Statistics
  62. 7.01: Basic Concepts of Statistics
  63. 7.02: Sampling Methods
  64. 7.03: Sources of Bias
  65. 7.04: Experiments
  66. 7.05: Chapter Review and Glossary
  67. 7.06: Exercises
  68. 08: Describing Data
  69. 8.01: Presenting Categorical Data Graphically
  70. 8.02: Presenting Quantitative Data Graphically
  71. 8.03: Measures of Central Tendency
  72. 8.04: Measures of Variation and Location
  73. 8.05: Box Plots
  74. 8.06: Correlation and Causation Scatter Plots
  75. 8.07: Graphics in the Media
  76. 8.08: Chapter Review and Glossary
  77. 8.09: Exercises
  78. 09: Normal Distribution
  79. 9.01: The Normal Distribution
  80. 9.02: The Standard Normal Distribution
  81. 9.03: Probability Computations for General Normal Distributions
  82. 9.04: Applications of Normal Distributions
  83. 9.05: Chapter Review and Glossary
  84. 9.06: Cumulative Standard Normal Distribution Table
  85. 9.07: Exercises
  86. 9.E: Continuous Random Variables (Exercises)
  87. 10: Appendix
  88. 10.01: Whole Numbers
  89. 10.1.01: Introduction to Whole Numbers
  90. 10.1.1.01: Place Value and Names for Whole Numbers
  91. 10.1.1.02: Rounding Whole Numbers
  92. 10.1.1.03: Comparing Whole Numbers
  93. 10.1.02: Adding and Subtracting Whole Numbers
  94. 10.1.2.01: Adding Whole Numbers and Applications
  95. 10.1.2.02: Subtracting Whole Numbers and Applications
  96. 10.1.2.03: Estimation
  97. 10.1.03: Multiplying and Dividing Whole Numbers
  98. 10.1.3.01: Multiplying Whole Numbers and Applications
  99. 10.1.3.02: Dividing Whole Numbers and Applications
  100. 10.1.04: Properties of Whole Numbers
  101. 10.1.4.01: Properties and Laws of Whole Numbers
  102. 10.1.4.02: The Distributive Property
  103. 10.1.05: Exponents Square Roots and the Order of Operations
  104. 10.1.5.01: Understanding Exponents and Square Roots
  105. 10.1.5.02: Order of Operations
  106. 10.02: Fractions and Mixed Numbers
  107. 10.2.01: Introduction to Fractions and Mixed Numbers
  108. 10.2.1.01: Introduction to Fractions and Mixed Numbers
  109. 10.2.1.02: Proper and Improper Fractions
  110. 10.2.1.03: Factors and Primes
  111. 10.2.1.04: Simplifying Fractions
  112. 10.2.1.05: Comparing Fractions
  113. 10.2.02: Multiplying and Dividing Fractions and Mixed Numbers
  114. 10.2.2.01: Multiplying Fractions and Mixed Numbers
  115. 10.2.2.02: Dividing Fractions and Mixed Numbers
  116. 10.2.03: Adding and Subtracting Fractions and Mixed Numbers
  117. 10.2.3.01: Adding Fractions and Mixed Numbers
  118. 10.2.3.02: Subtracting Fractions and Mixed Numbers
  119. 10.03: Decimals
  120. 10.3.01: Introduction to Decimals
  121. 10.3.1.01: Decimals and Fractions
  122. 10.3.1.02: Ordering and Rounding Decimals
  123. 10.3.02: Decimal Operations
  124. 10.3.2.01: Adding and Subtracting Decimals
  125. 10.3.2.02: Multiplying and Dividing Decimals
  126. 10.3.2.03: Estimation with Decimals
  127. 10.04: Ratios Rates and Proportions
  128. 10.4.01: Ratio and Rates
  129. 10.4.1.01: Simplifying Ratios and Rates
  130. 10.4.02: Proportions
  131. 10.4.2.01: Understanding Proportions
  132. 10.05: Percent
  133. 10.06: Problem Solving
  134. 10.6.01: Introduction
  135. 10.6.02: Percents
  136. 10.6.03: Proportions and Rates
  137. 10.6.04: Geometry
  138. 10.6.05: Problem Solving and Estimating
  139. 10.6.06: Exercises
  140. 10.07: Leases
  141. 10.08: Application - How To Purchase A Vehicle
  142. 10.09: Application - Planning Your RRSP