Math 101: Finite Mathematics

by University of St. Thomas

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This textbook was compiled as an Open Educational Resource for the University of St. Thomas (St. Paul, MN) MATH 101 "Finite Mathematics" course. The course covers topics in set theory, probability, finance, modeling with linear functions, and linear programming; it is intended for students majoring in Business, and satisfies the Quantitative Analysis requirement of the Core Curriculum. The text draws heavily from Sekhon & Bloom's "Applied Finite Mathematics" and Lippman's "Math in Society."

Description from LibreTexts.

Publisher
University of St. Thomas
Subjects
Mathematics
Licence
CC BY-NC-SA, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Problem Solving
  7. 1.1: Rounding Decimals
  8. 1.2: Percents
  9. 1.3: Proportions and Rates
  10. 1.4: Problem Solving and Estimating
  11. 1.5: Extension - Taxes
  12. 1.6: Exercises
  13. 2: Sets and Counting
  14. 2.1: Sets, Set Operations, and Venn Diagrams
  15. 2.1.1: Basics of Sets
  16. 2.1.2: Union, Intersection, and Complement
  17. 2.1.3: Venn Diagrams
  18. 2.2: Cardinality
  19. 2.3: Tree Diagrams and the Multiplication Axiom
  20. 2.4: Permutations and Combinations
  21. 2.4.1: Permutations
  22. 2.4.2: Combinations
  23. 2.4.3: Combinations- Involving Several Sets
  24. 2.4.4: Circular Permutations and Permutations with Similar Elements
  25. 2.5: Chapter Review Exercises
  26. 3: Probability
  27. 3.1: Sample Spaces and Probability
  28. 3.2: Mutually Exclusive Events and the Addition Rule
  29. 3.3: Probability Using Tree Diagrams and Combinations
  30. 3.4: Conditional Probability and Independent Events
  31. 3.4.1: Conditional Probability
  32. 3.4.2: Independent Events
  33. 3.5: Bayes' Formula
  34. 3.6: Chapter Review Exercises
  35. 4: Probability Distributions and Statistics
  36. 4.1: Random Variables
  37. 4.2: Probability Distributions for Discrete Random Variables
  38. 4.3: The Binomial Distribution
  39. 4.4: Continuous Random Variables
  40. 4.5: The Standard Normal Distribution
  41. 4.6: Probability Computations for General Normal Random Variables
  42. 4.7: Exercises
  43. 4.7.1: Discrete Random Variables
  44. 4.7.2: Continuous Random Variables
  45. 5: Mathematics of Finance
  46. 5.1: Interest
  47. 5.1.1: Simple Interest
  48. 5.1.2: Compound Interest
  49. 5.2: Future Value of Annuities and Sinking Funds
  50. 5.3: Present Value of Annuities and Installment Payment
  51. 5.4: Classification of Finance Problems
  52. 5.5: Additional Application Problems
  53. 5.6: Chapter Review
  54. 6: Linear Functions
  55. 6.1: The Rectangular Coordinate Systems and Graphs
  56. 6.2: Linear Functions
  57. 6.3: Linear Functions and Mathematical Models
  58. 6.3.1: Modeling with Linear Functions
  59. 6.3.2: Applications
  60. 6.4: Intersection of Straight Lines
  61. 6.5: Chapter Review
  62. 7: Linear Programming- A Geometric Approach
  63. 7.1: Linear Inequalities in Two Variables
  64. 7.2: Maximization Applications
  65. 7.3: Minimization Applications
  66. 7.4: Chapter Review
  67. 8: Answers to Selected Exercises
  68. 8.1: Problem Solving
  69. 8.2: Sets and Counting
  70. 8.3: Probability
  71. 8.4: Probability Distributions and Statistics
  72. 8.5: Mathematics of Finance
  73. 8.6: Linear Functions
  74. 8.7: Linear Programming- A Geometric Approach
  75. Back Matter
  76. Index
  77. Glossary
  78. Detailed Licensing
  79. Detailed Licensing