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MAT 117: Mathematical Problem Solving in Liberal Arts

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MAT 117: Mathematical Problem Solving in Liberal Arts

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Mục lục· 112 mục
  1. 01: Voting Theory
  2. 1.01: Introduction
  3. 1.02: Preference Schedules
  4. 1.03: Plurality
  5. 1.04: Whats Wrong with Plurality
  6. 1.05: Insincere Voting
  7. 1.06: Instant Runoff Voting
  8. 1.07: Whats Wrong with IRV
  9. 1.08: Borda Count
  10. 1.09: Whats Wrong with Borda Count
  11. 1.10: Copelands Method (Pairwise Comparisons)
  12. 1.11: Whats Wrong with Copelands Method
  13. 1.12: So Wheres the Fair Method
  14. 1.13: Approval Voting
  15. 1.14: Whats Wrong with Approval Voting
  16. 1.15: Voting in America
  17. 1.16: Exercises
  18. 1.17: Concepts
  19. 1.18: Exploration
  20. 02: Weighted Voting
  21. 2.01: Introduction
  22. 2.02: Beginnings
  23. 2.03: A Look at Power
  24. 2.04: Calculating Power- Banzhaf Power Index
  25. 2.05: Calculating Power- Shapley-Shubik Power Index
  26. 2.06: Exercises(Skills)
  27. 2.07: Exercises(Concepts)
  28. 2.08: Exercises(Exploration)
  29. 03: Cryptography
  30. 3.01: Cryptography
  31. 3.02: Substitution Ciphers
  32. 3.03: Transposition Ciphers
  33. 3.04: Advanced shared symmetric-key methods
  34. 3.05: Public Key Cryptography
  35. 3.06: Other Secret Keeping Methods
  36. 3.07: The One-Way Function
  37. 3.08: The key exchange
  38. 04: Apportionment
  39. 4.01: Introduction
  40. 4.02: Hamiltons Method
  41. 4.03: Jeffersons Method
  42. 4.04: Websters Method
  43. 4.05: Huntington-Hill Method
  44. 4.06: Lowndes Method
  45. 4.07: Apportionment of Legislative Districts
  46. 4.08: Exercises
  47. 05: Sequences
  48. 5.01: Prelude to Sequences Probability and Counting Theory
  49. 5.02: Sequences and Their Notations
  50. 06: Growth Models
  51. 6.01: Introduction
  52. 6.02: Linear (Algebraic) Growth
  53. 6.03: When good models go bad
  54. 6.04: Exponential (Geometric) Growth
  55. 6.05: Solving Exponentials for Time- Logarithms
  56. 6.06: Logistic Growth
  57. 6.07: Exercises
  58. 07: Math and...
  59. 7.01: Introduction
  60. 7.02: Math and Art
  61. 7.2.01: Exercises
  62. 7.03: Chapter Summary
  63. 7.3.01: Key Terms
  64. 7.3.02: Key Concepts
  65. 7.3.03: Formula Review
  66. 7.3.04: Projects
  67. 7.3.05: Chapter Review
  68. 7.3.06: Chapter Test
  69. 08: Money Management
  70. 8.01: Introduction
  71. 8.02: Understanding Percent
  72. 8.2.01: Exercises
  73. 8.03: Discounts Markups and Sales Tax
  74. 8.3.01: Exercises
  75. 8.04: Credit Cards
  76. 8.4.01: Exercises
  77. 8.05: Chapter Summary
  78. 8.5.01: Key Terms
  79. 8.5.02: Key Concepts
  80. 8.5.03: Videos
  81. 8.5.04: Formula Review
  82. 8.5.05: Projects
  83. 8.5.06: Chapter Review
  84. 8.5.07: Chapter Test
  85. 09: Finance
  86. 9.01: Introduction
  87. 9.02: Simple Interest
  88. 9.03: Compound Interest
  89. 9.04: Annuities
  90. 9.05: Payout Annuities
  91. 9.06: Loans
  92. 9.07: Remaining Loan Balance
  93. 9.08: Which equation to use
  94. 9.09: Solving for time
  95. 9.10: Exercises
  96. 10: Graph Theory
  97. 10.01: Introduction
  98. 10.02: Graphs
  99. 10.03: Shortest Path
  100. 10.04: Euler Circuits and the Chinese Postman Problem
  101. 10.05: Eulerization and the Chinese Postman Problem
  102. 10.06: Exercise
  103. 11: Solutions to Selected Exercises
  104. 11.01: Voting Theory
  105. 11.02: Weighted Voting
  106. 11.03: Cryptography
  107. 11.04: Apportionment
  108. 11.05: Growth Models
  109. 11.06: Math and Art
  110. 11.07: Money Management
  111. 11.08: Finance
  112. 11.09: Graph Theory