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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
- 01: Introduction
- 1.01: About this Book
- 02: Linear Equations
- 2.01: Linear Equations
- 2.1.01: Linear Equations (Exercises)
- 2.02: Absolute Value Equations
- 2.2.01: Absolute Value Equations (Exercises)
- 2.03: Literal Equations
- 2.3.01: Literal Equations (Exercises)
- 2.04: Word Problems
- 2.4.01: Word Problems (Exercises)
- 03: Graphing Linear Equations
- 3.01: Graphing and Slope
- 3.1.01: Graphing and Slope (Exercises)
- 3.02: Equations of Lines
- 3.2.01: Equations of Lines (Exercises)
- 3.03: Parallel and Perpendicular Lines
- 3.3.01: Parallel and Perpendicular Lines (Exercises)
- 04: Systems of Linear Equations in Two and Three Variables
- 4.01: System of Equations - Graphing
- 4.1.01: Systems of Equations - Graphing (Exercises)
- 4.02: Systems of Equations - The Substitution Method
- 4.2.01: Systems of Equations - Substitution (Exercises)
- 4.03: System of Equations - The Addition Method
- 4.3.01: Systems of Equations - Addition (Exercises)
- 4.04: Applications with Systems of Equations
- 4.4.01: Applications with Systems of Equations (Exercises)
- 4.05: Systems of Three Linear Equations in Three Variables
- 4.5.01: Systems of Three Linear Equations in Three Variables (Exercises)
- 05: Matrices and Systems of Linear Equations
- 5.01: Introduction to Matrices
- 5.1.01: Introduction to Matrices (Exercises)
- 5.02: Systems of Linear Equations and the Gauss-Jordan Method
- 5.2.01: Systems of Linear Equations and the Gauss-Jordan Method (Exercises)
- 5.03: Systems of Linear Equations Special Cases
- 5.3.01: Systems of Linear Equations Special Cases (Exercises)
- 5.04: Inverse Matrices
- 5.4.01: Inverse Matrices (Exercises)
- 5.05: Solve Systems of Equations Using Determinants
- 5.5.01: Exercises
- 5.06: Applications Leontief Models
- 5.6.01: Applications Leontief Models (Exercises)
- 06: Linear Inequalities in One and Two Variables
- 6.01: Linear Inequalities
- 6.1.01: Linear Inequalities (Exercises)
- 6.02: Compound Inequalities
- 6.2.01: Compound Inequalities (Exercises)
- 6.03: Absolute Value Inequalities
- 6.3.01: Absolute Value Inequalities (Exercises)
- 6.04: Linear Inequalities in Two Variables
- 6.4.01: Linear Inequalities in Two Variables (Exercises)
- 6.05: Systems of Linear Inequalities in Two Variables
- 6.5.01: Systems of Linear Inequalities in Two Variables (Exercises)
- 07: Linear Programming
- 7.01: Introduction to Linear Programming Applications in Business Finance Medicine and Social Science
- 7.02: Maximization by Geometry
- 7.2.01: Maximization by Geometry (Exercises)
- 7.03: Minimization by Geometry
- 7.3.01: Minimization by Geometry (Exercises)
- 7.04: Maximization by the Simplex Method
- 7.4.01: Maximization By The Simplex Method (Exercises)
- 7.05: Minimization by the Simplex Method
- 7.5.01: Minimization By The Simplex Method (Exercises)
- 08: Sets and Counting
- 8.01: Sets and Counting
- 8.1.01: Sets and Counting (Exercises)
- 8.02: Tree Diagrams and the Multiplication Axiom
- 8.2.01: Tree Diagrams and the Multiplication Axiom (Exercises)
- 8.03: Permutations
- 8.3.01: Permutations (Exercises)
- 8.04: Circular Permutations and Permutations with Similar Elements
- 8.4.01: Circular Permutations and Permutations with Similar Elements (Exercises)
- 8.05: Combinations
- 8.5.01: Combinations (Exercises)
- 8.06: Combinations Involving Several Sets
- 8.6.01: Combinations Involving Several Sets (Exercises)
- 8.07: Binomial Theorem
- 8.7.01: Binomial Theorem (Exercises)
- 09: Probability
- 9.01: Sample Spaces and Probability
- 9.1.01: Sample Spaces and Probability (Exercises)
- 9.02: Mutually Exclusive Events and the Addition Rule
- 9.2.01: Mutually Exclusive Events and the Addition Rule (Exercises)
- 9.03: Probability Using Tree Diagrams and Combinations
- 9.3.01: Probability Using Tree Diagrams and Combinations (Exercises)
- 9.04: Conditional Probability
- 9.4.01: Conditional Probability (Exercises)
- 9.05: Independent Events
- 9.5.01: Independent Events (Exercises)
- 9.06: Bayes' Formula
- 9.6.01: Bayes' Formula (Exercises)
- 9.07: Binomial Probability
- 9.7.01: Binomial Probability (Exercises)
- 9.08: Expected Value
- 9.8.01: Expected Value (Exercises)