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Math in Society

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Math in Society

This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level quantitative literacy topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics.

Mathematics
Author
David Lippman
Publisher
Pierce College
Source
LibreTexts
License
CC BY-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 110 sections
  1. 01: Problem Solving
  2. 1.01: Introduction
  3. 1.02: Percents
  4. 1.03: Proportions and Rates
  5. 1.04: Geometry
  6. 1.05: Problem Solving and Estimating
  7. 1.06: Exercises
  8. 1.07: Extension - Taxes
  9. 1.08: Income Taxation
  10. 02: Geometry
  11. 2.01: Basic Geometric Concepts and Figures
  12. 2.02: Perimeter Circumference and Area
  13. 2.03: Volume of Geometric Solids
  14. 2.04: Exercises
  15. 03: Historical Counting Systems
  16. 3.01: The Evolution of Numeration Systems
  17. 3.02: The Number and Counting System of the Inca Civilization
  18. 3.03: The Hindu-Arabic Number System
  19. 3.04: The Development and Use of Different Number Bases
  20. 3.05: The Mayan Numeral System
  21. 3.06: Exercise
  22. 04: Saving
  23. 4.01: Introduction
  24. 4.02: Simple Interest
  25. 4.03: Compound Interest
  26. 05: Annuities and Loans
  27. 5.01: Annuities
  28. 5.02: Payout Annuities
  29. 5.03: Loans
  30. 5.04: Remaining Loan Balance
  31. 5.05: Which equation to use
  32. 5.06: Solving for time
  33. 5.07: Exercises
  34. 06: Logic
  35. 6.01: Statements Connectives and Quantifiers
  36. 6.02: Truth Tables- Conjunction (and) Disjunction (or) Negation (not)
  37. 6.03: Truth Tables- Conditional Biconditional
  38. 6.04: Verifying Arguments
  39. 07: Sets and Venn Diagrams
  40. 7.01: Basics of Sets
  41. 7.02: Union Intersection and Complement
  42. 7.03: Venn Diagrams
  43. 7.04: Cardinality
  44. 7.05: Exercises
  45. 08: Counting
  46. 8.01: The Fundamental Counting Principle
  47. 8.02: Permutations and Combinations
  48. 09: Probability
  49. 9.01: Introduction to Probability
  50. 9.02: Basic Concepts
  51. 9.03: Working with Events
  52. 9.04: Bayes Theorem
  53. 9.05: Counting
  54. 9.06: Expected Value
  55. 9.07: Exercises
  56. 10: Descriptive Statistics
  57. 10.01: Introduction
  58. 10.02: Populations and Samples
  59. 10.03: Categorizing data
  60. 10.04: Sampling methods
  61. 10.05: How to mess things up before you start
  62. 10.06: Experiments
  63. 10.07: Exercise
  64. 10.08: Presenting Categorical Data Graphically
  65. 10.09: Presenting Quantitative Data Graphically
  66. 10.10: Numerical Summaries of Data
  67. 10.11: Measures of Central Tendency
  68. 10.12: Measures of Variation
  69. 10.13: Exercises
  70. 11: Normal Distribution
  71. 11.01: The Standard Normal Probability Distribution
  72. 11.02: The Density Curve of a Normal Distribution
  73. 11.03: Application of Normal Distributions
  74. 11.04: The Central Limit Theorem
  75. 11.05: Exercises
  76. 12: Confidence Intervals and Hypothesis Tests
  77. 12.01: Confidence Intervals
  78. 12.02: Confidence Intervals and Sample Size for Proportions
  79. 12.03: Steps in Hypothesis Testing
  80. 12.3.01: Null and Alternative Hypotheses
  81. 12.3.02: Outcomes and the Type I and Type II Errors
  82. 12.3.03: Distribution Needed for Hypothesis Testing
  83. 12.3.04: Rare Events the Sample Decision and Conclusion
  84. 12.3.05: Additional Information on Hypothesis Tests
  85. 12.04: Hypothesis Test Examples for Proportions
  86. 12.E: Confidence Intervals (Optional Exercises)
  87. 1.E: Confidence Intervals for the Mean with Known Standard Deviation (Optional Exercises)
  88. 1.E: Hypothesis Testing (Optional Exercises)
  89. 13: Graph Theory
  90. 13.01: Introduction
  91. 13.02: Graphs
  92. 13.03: Shortest Path
  93. 13.04: Euler Circuits and the Chinese Postman Problem
  94. 13.05: Eulerization and the Chinese Postman Problem
  95. 13.06: Hamiltonian Circuits and the Traveling Salesman Problem
  96. 13.07: Spanning Trees
  97. 13.08: Exercise
  98. 14: Solutions to Selected Exercises
  99. 14.01: Problem Solving
  100. 14.02: Geometry
  101. 14.03: Historical Counting
  102. 14.04: Sets
  103. 14.05: Probability
  104. 14.06: Statistics
  105. 14.6.01: Describing Data
  106. 14.07: Saving
  107. 14.08: Annuities and Loans
  108. 14.09: Confidence Intervals and Hypothesis Tests
  109. 14.10: Graph Theory
  110. 14.11: Normal