Phu Xuan University Library
MAT 149 Topics In Finite Mathematics

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MAT 149 Topics In Finite Mathematics

Author
Daniel Holz
Publisher
SUNY Schenectady County Community College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Contents· 74 sections
  1. 01: Logic
  2. 1.01: Statements and Truth Values
  3. 1.1.01: Introduction
  4. 1.1.02: Statements and Quantifiers
  5. 1.1.03: Compound Statements
  6. 1.02: Truth Tables
  7. 1.2.01: Constructing Truth Tables
  8. 1.2.02: Truth Tables for the Conditional and Biconditional
  9. 1.03: Conditional Statements
  10. 1.3.01: Equivalent Statements
  11. 1.04: Deductive Arguments
  12. 1.4.01: Evaluating Deductive Arguments with Truth Tables
  13. 1.4.02: Forms of Valid Arguments
  14. 02: Functions
  15. 2.01: Functions
  16. 2.1.01: Function Notation
  17. 2.1.02: Domain and Range of a Function
  18. 2.1.03: Piecewise-defined Functions
  19. 2.1.04: Graphing Equations by Hand
  20. 2.02: Linear Functions
  21. 2.2.01: Slope of a Line
  22. 2.2.1E: Exercises
  23. 2.2.02: Find the Equation of a Line
  24. 2.03: Linear Models
  25. 2.3.01: Linear Models
  26. 2.3.02: Cost-Revenue-Net Income Analysis (Need to Be in the Know)
  27. 2.04: Graphing Linear Functions
  28. 2.4.01: Graphing Linear Equations
  29. 2.05: Linear Regression
  30. 03: Systems and Matrices
  31. 3.01: Systems of Linear Equations
  32. 3.1.01: Solving a System of Equations Algebraically
  33. 3.02: Matrices
  34. 3.2.01: Gaussian Elimination
  35. 3.03: Solving Using Matrices
  36. 3.3.01: Gaussian Elimination
  37. 3.04: Matrix Algebra
  38. 3.4.01: Matrix Arithmetic
  39. 3.4.02: Multiplication of Matrices
  40. 3.4.03: The ijth Entry of a Product
  41. 3.05: Matrix Inverses
  42. 3.5.01: The Identity and Inverses
  43. 3.5.02: Finding the Inverse of a Matrix
  44. 3.5.03: The Matrix Inverse
  45. 3.5.3.01: Exercises 2.6
  46. 3.06: Linear Inequalities
  47. 3.6.01: Solving Systems of Linear Inequalities (Two Variables)
  48. 3.07: Linear Programming
  49. 3.7.01: Maximization Applications
  50. 3.7.1.01: Maximization Applications (Exercises)
  51. 3.7.02: Minimization Applications
  52. 04: Sets and Counting
  53. 4.01: Sets and Operations
  54. 4.1.01: Basics of Sets
  55. 4.1.02: Union Intersection and Complement
  56. 4.1.03: Venn Diagrams
  57. 4.02: Number of Elements in a Set
  58. 4.2.01: Cardinality
  59. 4.03: Multiplication Principle
  60. 4.3.01: Tree Diagrams Tables and Outcomes
  61. 4.3.02: The Multiplication Rule for Counting
  62. 4.04: Permutations and Combinations
  63. 4.4.01: Permutations
  64. 4.4.02: Combinations
  65. 05: Probability
  66. 5.01: Sample Spaces and Probability
  67. 5.1.01: Basic Concepts
  68. 5.02: Probability Rules
  69. 5.2.01: The Addition Rule for Probability
  70. 5.2.02: Conditional Probability and the Multiplication Rule
  71. 5.03: Binomial Distributions
  72. 5.3.01: The Binomial Distribution
  73. 5.04: Markov Chains
  74. 5.4.01: Stochastic Matrices