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FCC DS 21 Finite Mathematics - Spring 2023

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FCC DS 21 Finite Mathematics - Spring 2023

Written by Rupinder Sekhoh and Roberta Bloom, remixed and edited by JoEllen Green

Statistics
Author
JoEllen Green
Publisher
Fresno City College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 134 sections
  1. 01: Linear Equations
  2. 1.01: Graphing a Linear Equation
  3. 1.1.01: Graphing a Linear Equation (Exercises)
  4. 1.02: Slope of a Line
  5. 1.2.01: Slope of a Line (Exercises)
  6. 1.03: Determining the Equation of a Line
  7. 1.3.01: Determining the Equation of a Line (Exercises)
  8. 1.04: Applications
  9. 1.4.01: Applications (Exercises)
  10. 1.05: More Applications
  11. 1.5.01: More Applications (Exercises)
  12. 1.06: Chapter Review
  13. 02: Inequalities
  14. 2.01: Properties of Inequalities
  15. 2.02: Solving and Graphing Inequalities and Writing Answers in Interval Notation
  16. 2.03: 2.3 Set Builder Notation
  17. 2.04: Rational Inequalities
  18. 03: Functions
  19. 3.01: Functions and Function Notation
  20. 3.02: Domain and Range
  21. 3.03: Piecewise-Defined Functions
  22. 3.04: Absolute Value
  23. 3.05: Absolute Value Equations
  24. 3.06: Break-Even Analysis (Sink or Swim)
  25. 3.07: Applications
  26. 3.7.01: Applications (Exercises)
  27. 3.08: More Applications
  28. 3.8.01: More Applications (Exercises)
  29. 3.09: Quadratic Functions
  30. 3.9E: Quadratic Functions (Exercises)
  31. 3.10: Power Functions and Polynomial Functions
  32. 3.11: Graphs of Polynomial Functions
  33. 3.12: Graphing Rational Functions
  34. 04: Exponential and Logarithmic Functions
  35. 4.01: Prelude to Exponential and Logarithmic Functions
  36. 4.02: Exponential Growth and Decay Models
  37. 4.2.01: Exponential Growth and Decay Models (Exercises)
  38. 4.03: Graphs and Properties of Exponential Growth and Decay Functions
  39. 4.3.01: Graphs and Properties of Exponential Growth and Decay Functions (Exercises)
  40. 4.04: Logarithms and Logarithmic Functions
  41. 4.4.01: Logarithms and Logarithmic Functions (Exercises)
  42. 4.05: Graphs and Properties of Logarithmic Functions
  43. 4.5.01: Graphs and Properties of Logarithmic Functions (Exercises)
  44. 4.06: Exponential and Logarithmic Equations
  45. 4.07: Chapter Review
  46. 4.E: Exponential and Logarithmic Functions (Exercises)
  47. 05: Introduction to Calculus
  48. 5.01: Prelude to Calculus
  49. 5.02: Finding Limits - Numerical and Graphical Approaches
  50. 5.03: Finding Limits - Properties of Limits
  51. 5.04: Continuity
  52. 5.05: Derivatives
  53. 5.E: Introduction to Calculus (Exercises)
  54. 1.01: 5.6 Derivatives of Polynomials
  55. 5.R: Introduction to Calculus (Review)
  56. 06: Mathematics of Finance
  57. 6.01: Simple and Compound Interest
  58. 6.1.01: Simple and Compound Interest (Exercises)
  59. 6.02: Annuities and Sinking Funds
  60. 6.2.01: Annuities and Sinking Funds (Exercises)
  61. 6.03: Present Value of an Annuity and Installment Payment
  62. 6.3.01: Present Value of an Annuity and Installment Payment (Exercises)
  63. 6.04: Miscellaneous Application Problems
  64. 6.4.01: Miscellaneous Application Problems (Exercises)
  65. 6.05: Classification of Finance Problems
  66. 6.5.01: Classification of Finance Problems (Exercises)
  67. 6.06: Chapter Review
  68. 07: Matrices
  69. 7.01: Introduction to Matrices
  70. 7.1.01: Introduction to Matrices (Exercises)
  71. 7.02: Systems of Linear Equations and the Gauss-Jordan Method
  72. 7.2.01: Systems of Linear Equations and the Gauss-Jordan Method (Exercises)
  73. 7.03: Systems of Linear Equations Special Cases
  74. 7.3.01: Systems of Linear Equations Special Cases (Exercises)
  75. 7.04: Inverse Matrices
  76. 7.4.01: Inverse Matrices (Exercises)
  77. 7.05: Application of Matrices in Cryptography
  78. 7.5.01: Application of Matrices in Cryptography (Exercises)
  79. 7.06: Applications Leontief Models
  80. 7.6.01: Applications Leontief Models (Exercises)
  81. 7.07: Chapter Review
  82. 08: Linear Programming - A Geometric Approach
  83. 8.01: Graph Linear Inequalities in Two Variables
  84. 8.1E: Exercises
  85. 8.02: Maximization Applications
  86. 8.2.01: Maximization Applications (Exercises)
  87. 8.03: Minimization Applications
  88. 8.3.01: Minimization Applications (Exercises)
  89. 8.04: Chapter Review
  90. 09: Linear Programming - The Simplex Method
  91. 9.01: Introduction to Linear Programming Applications in Business Finance Medicine and Social Science
  92. 9.02: Maximization By The Simplex Method
  93. 9.2.01: Maximization By The Simplex Method (Exercises)
  94. 9.03: Minimization By The Simplex Method
  95. 9.3.01: Minimization By The Simplex Method (Exercises)
  96. 9.04: Chapter Review
  97. 10: Sets and Counting
  98. 10.01: Sets and Venn Diagrams
  99. 10.1.01: Sets and Venn Diagrams (Exercises)
  100. 10.02: Tree Diagrams and the Multiplication Axiom
  101. 10.2.01: Tree Diagrams and the Multiplication Axiom (Exercises)
  102. 10.03: Permutations
  103. 10.3.01: Permutations (Exercises)
  104. 10.04: Circular Permutations and Permutations with Similar Elements
  105. 10.4.01: Circular Permutations and Permutations with Similar Elements (Exercises)
  106. 10.05: Combinations
  107. 10.5.01: Combinations (Exercises)
  108. 10.06: Combinations- Involving Several Sets
  109. 10.6.01: Combinations- Involving Several Sets (Exercises)
  110. 10.07: Binomial Theorem
  111. 10.7.01: Binomial Theorem (Exercises)
  112. 10.08: Chapter Review
  113. 11: Probability
  114. 11.01: Sample Spaces and Probability
  115. 11.1.01: Sample Spaces and Probability (Exercises)
  116. 11.02: Mutually Exclusive Events and the Addition Rule
  117. 11.2.01: Mutually Exclusive Events and the Addition Rule (Exercises)
  118. 11.03: Probability Using Tree Diagrams and Combinations
  119. 11.3.01: Probability Using Tree Diagrams and Combinations (Exercises)
  120. 11.04: Conditional Probability
  121. 11.4.01: Conditional Probability (Exercises)
  122. 11.05: Independent Events
  123. 11.5.01: Independent Events (Exercises)
  124. 11.06: Chapter Review
  125. 12: More Probability
  126. 12.01: Binomial Probability
  127. 12.1.01: Binomial Probability (Exercises)
  128. 12.02: Bayes' Formula
  129. 12.2.01: Bayes' Formula (Exercises)
  130. 12.03: Expected Value
  131. 12.3.01: Expected Value (Exercises)
  132. 12.04: Probability Using Tree Diagrams
  133. 12.4.01: Probability Using Tree Diagrams (Exercises)
  134. 12.05: Chapter Review