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Math 101: Finite Mathematics

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Math 101: Finite Mathematics

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."

Mathematics
Publisher
University of St. Thomas
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 69 sections
  1. 01: Problem Solving
  2. 1.01: Rounding Decimals
  3. 1.02: Percents
  4. 1.03: Proportions and Rates
  5. 1.04: Problem Solving and Estimating
  6. 1.05: Extension - Taxes
  7. 1.06: Exercises
  8. 02: Sets and Counting
  9. 2.01: Sets Set Operations and Venn Diagrams
  10. 2.1.01: Basics of Sets
  11. 2.1.02: Union Intersection and Complement
  12. 2.1.03: Venn Diagrams
  13. 2.02: Cardinality
  14. 2.03: Tree Diagrams and the Multiplication Axiom
  15. 2.04: Permutations and Combinations
  16. 2.4.01: Permutations
  17. 2.4.02: Combinations
  18. 2.4.03: Combinations- Involving Several Sets
  19. 2.4.04: Circular Permutations and Permutations with Similar Elements
  20. 2.05: Chapter Review Exercises
  21. 03: Probability
  22. 3.01: Sample Spaces and Probability
  23. 3.02: Mutually Exclusive Events and the Addition Rule
  24. 3.03: Probability Using Tree Diagrams and Combinations
  25. 3.04: Conditional Probability and Independent Events
  26. 3.4.01: Conditional Probability
  27. 3.4.02: Independent Events
  28. 3.05: Bayes' Formula
  29. 3.06: Chapter Review Exercises
  30. 04: Probability Distributions and Statistics
  31. 4.01: Random Variables
  32. 4.02: Probability Distributions for Discrete Random Variables
  33. 4.03: The Binomial Distribution
  34. 4.04: Continuous Random Variables
  35. 4.05: The Standard Normal Distribution
  36. 4.06: Probability Computations for General Normal Random Variables
  37. 4.07: Exercises
  38. 4.7.01: Discrete Random Variables
  39. 4.7.02: Continuous Random Variables
  40. 05: Mathematics of Finance
  41. 5.01: Interest
  42. 5.1.01: Simple Interest
  43. 5.1.02: Compound Interest
  44. 5.02: Future Value of Annuities and Sinking Funds
  45. 5.03: Present Value of Annuities and Installment Payment
  46. 5.04: Classification of Finance Problems
  47. 5.05: Additional Application Problems
  48. 5.06: Chapter Review
  49. 06: Linear Functions
  50. 6.01: The Rectangular Coordinate Systems and Graphs
  51. 6.02: Linear Functions
  52. 6.03: Linear Functions and Mathematical Models
  53. 6.3.01: Modeling with Linear Functions
  54. 6.3.02: Applications
  55. 6.04: Intersection of Straight Lines
  56. 6.05: Chapter Review
  57. 07: Linear Programming- A Geometric Approach
  58. 7.01: Linear Inequalities in Two Variables
  59. 7.02: Maximization Applications
  60. 7.03: Minimization Applications
  61. 7.04: Chapter Review
  62. 08: Answers to Selected Exercises
  63. 8.01: Problem Solving
  64. 8.02: Sets and Counting
  65. 8.03: Probability
  66. 8.04: Probability Distributions and Statistics
  67. 8.05: Mathematics of Finance
  68. 8.06: Linear Functions
  69. 8.07: Linear Programming- A Geometric Approach