Phu Xuan University Library
Math 113 - Finite Math for Society

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Math 113 - Finite Math for Society

An introduction to two mathematical tools — linear equations (and inequalities) and probability — with significant uses outside mathematics and the physical sciences.

Author
Doug Baldwin
Publisher
SUNY Geneseo
Source
LibreTexts
License
CC BY-SA
Language
EN
Category
Basic Sciences
Contents· 95 sections
  1. 01: Introduction
  2. 1.01: About this Book
  3. 02: Linear Equations
  4. 2.01: Linear Equations
  5. 2.1.01: Linear Equations (Exercises)
  6. 2.02: Absolute Value Equations
  7. 2.2.01: Absolute Value Equations (Exercises)
  8. 2.03: Literal Equations
  9. 2.3.01: Literal Equations (Exercises)
  10. 2.04: Word Problems
  11. 2.4.01: Word Problems (Exercises)
  12. 03: Graphing Linear Equations
  13. 3.01: Graphing and Slope
  14. 3.1.01: Graphing and Slope (Exercises)
  15. 3.02: Equations of Lines
  16. 3.2.01: Equations of Lines (Exercises)
  17. 3.03: Parallel and Perpendicular Lines
  18. 3.3.01: Parallel and Perpendicular Lines (Exercises)
  19. 04: Systems of Linear Equations in Two and Three Variables
  20. 4.01: System of Equations - Graphing
  21. 4.1.01: Systems of Equations - Graphing (Exercises)
  22. 4.02: Systems of Equations - The Substitution Method
  23. 4.2.01: Systems of Equations - Substitution (Exercises)
  24. 4.03: System of Equations - The Addition Method
  25. 4.3.01: Systems of Equations - Addition (Exercises)
  26. 4.04: Applications with Systems of Equations
  27. 4.4.01: Applications with Systems of Equations (Exercises)
  28. 4.05: Systems of Three Linear Equations in Three Variables
  29. 4.5.01: Systems of Three Linear Equations in Three Variables (Exercises)
  30. 05: Matrices and Systems of Linear Equations
  31. 5.01: Introduction to Matrices
  32. 5.1.01: Introduction to Matrices (Exercises)
  33. 5.02: Systems of Linear Equations and the Gauss-Jordan Method
  34. 5.2.01: Systems of Linear Equations and the Gauss-Jordan Method (Exercises)
  35. 5.03: Systems of Linear Equations Special Cases
  36. 5.3.01: Systems of Linear Equations Special Cases (Exercises)
  37. 5.04: Inverse Matrices
  38. 5.4.01: Inverse Matrices (Exercises)
  39. 5.05: Solve Systems of Equations Using Determinants
  40. 5.5.01: Exercises
  41. 5.06: Applications Leontief Models
  42. 5.6.01: Applications Leontief Models (Exercises)
  43. 06: Linear Inequalities in One and Two Variables
  44. 6.01: Linear Inequalities
  45. 6.1.01: Linear Inequalities (Exercises)
  46. 6.02: Compound Inequalities
  47. 6.2.01: Compound Inequalities (Exercises)
  48. 6.03: Absolute Value Inequalities
  49. 6.3.01: Absolute Value Inequalities (Exercises)
  50. 6.04: Linear Inequalities in Two Variables
  51. 6.4.01: Linear Inequalities in Two Variables (Exercises)
  52. 6.05: Systems of Linear Inequalities in Two Variables
  53. 6.5.01: Systems of Linear Inequalities in Two Variables (Exercises)
  54. 07: Linear Programming
  55. 7.01: Introduction to Linear Programming Applications in Business Finance Medicine and Social Science
  56. 7.02: Maximization by Geometry
  57. 7.2.01: Maximization by Geometry (Exercises)
  58. 7.03: Minimization by Geometry
  59. 7.3.01: Minimization by Geometry (Exercises)
  60. 7.04: Maximization by the Simplex Method
  61. 7.4.01: Maximization By The Simplex Method (Exercises)
  62. 7.05: Minimization by the Simplex Method
  63. 7.5.01: Minimization By The Simplex Method (Exercises)
  64. 08: Sets and Counting
  65. 8.01: Sets and Counting
  66. 8.1.01: Sets and Counting (Exercises)
  67. 8.02: Tree Diagrams and the Multiplication Axiom
  68. 8.2.01: Tree Diagrams and the Multiplication Axiom (Exercises)
  69. 8.03: Permutations
  70. 8.3.01: Permutations (Exercises)
  71. 8.04: Circular Permutations and Permutations with Similar Elements
  72. 8.4.01: Circular Permutations and Permutations with Similar Elements (Exercises)
  73. 8.05: Combinations
  74. 8.5.01: Combinations (Exercises)
  75. 8.06: Combinations Involving Several Sets
  76. 8.6.01: Combinations Involving Several Sets (Exercises)
  77. 8.07: Binomial Theorem
  78. 8.7.01: Binomial Theorem (Exercises)
  79. 09: Probability
  80. 9.01: Sample Spaces and Probability
  81. 9.1.01: Sample Spaces and Probability (Exercises)
  82. 9.02: Mutually Exclusive Events and the Addition Rule
  83. 9.2.01: Mutually Exclusive Events and the Addition Rule (Exercises)
  84. 9.03: Probability Using Tree Diagrams and Combinations
  85. 9.3.01: Probability Using Tree Diagrams and Combinations (Exercises)
  86. 9.04: Conditional Probability
  87. 9.4.01: Conditional Probability (Exercises)
  88. 9.05: Independent Events
  89. 9.5.01: Independent Events (Exercises)
  90. 9.06: Bayes' Formula
  91. 9.6.01: Bayes' Formula (Exercises)
  92. 9.07: Binomial Probability
  93. 9.7.01: Binomial Probability (Exercises)
  94. 9.08: Expected Value
  95. 9.8.01: Expected Value (Exercises)