Finite Math (SJDC M20) v2

This book covers topics from the Finite Math course at San Joaquin Delta College including an introduction to set theory and combinatorics, basic probability, linear modeling, systems of linear equations (including matrices and applications), systems of linear inequalities, linear programming and math of finance.

Mathematics

Tác giả: Jacquelynn Schwegel
Nhà xuất bản: San Joaquin Delta College
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 125 mục

01: All Things Sets and Probability
1.01: Sets Samples Spaces and Probability
1.1.01: Sets and Counting
1.1.02: Sample Spaces and Probability
1.02: Venn Diagrams and Inclusion Exclusion
1.2.01: Introduction to Venn Diagrams
1.2.02: Inclusion Exclusion Principle
1.2.03: Venn Diagrams and Applications
1.2.04: Mutually Exclusive Events and the Addition Rule
1.03: Tree Diagrams and Mutiplication Principle
1.3.01: Tree Diagrams and the Multiplication Axiom
1.3.02: Probability Using Tree Diagrams and Combinations
1.3.03: Probability Using Tree Diagrams
1.04: Conditional Probability and Bayes' Theorem
1.4.01: Conditional Probability
1.4.02: Independent Events
1.4.03: Bayes' Formula
1.05: Combinatorics and Probability
1.5.01: Combinations
1.5.02: Permutations
1.5.03: Combinations- Involving Several Sets
1.06: Chapter 1 Practice Problems
1.6.01: Practice Sets and Counting
1.6.02: Practice Sample Spaces and Probability
1.6.03: Practice Mutually Exclusive Events and the Addition Rule
1.6.04: Practice Tree Diagrams and the Multiplication Principle
1.6.05: Practice Probability Using Tree Diagrams
1.6.06: Practice Conditional Probability
1.6.07: Practice Probability of Independent Events
1.6.08: Practice Bayes' Formula
1.6.09: Practice Combinations
1.6.10: Practice Combinations Involving Multiple Sets
1.6.11: Practice Probability Using Tree Diagrams and Combinations
1.6.12: Chapter Review Part 1
1.6.13: Chapter Review Part 2
02: All Things Linear Equation
2.01: Solving Linear Equations in One Variable
2.1.01: Solve Equations Using the Subtraction and Addition Properties of Equality
2.1.02: Solve Equations using the Division and Multiplication Properties of Equality
2.1.03: Solve Equations with Variables and Constants on Both Sides
2.1.04: Use a General Strategy to Solve Linear Equations
2.1.05: Solve Equations with Fractions or Decimals
2.02: Linear Equations in Two Variables
2.2.01: Graphing a Linear Equation
2.2.02: Slope of a Line
2.2.03: Determining the Equation of a Line
2.03: Systems of Linear Equations - Two Variables
2.04: Matrices
2.4.01: Introduction to Matrices
2.4.02: Systems of Linear Equations and the Gauss-Jordan Method
2.4.03: Systems of Linear Equations Special Cases
2.4.04: Inverse Matrices
2.4.05: Application of Matrices in Cryptography
2.4.06: Applications Leontief Models
2.05: Applications of Linear Systems
2.5.01: Linear Models
2.5.02: System Applications
2.5.03: More System Applications
2.06: Chapter 2 Practice Problems
2.6.01: Practice Solving Linear Equations in One Variable
2.6.02: Practice Linear Equations in Two Variables
2.6.03: Practice with Matrices
2.6.04: Practice the Gauss-Jordan Method
2.6.05: Practice Solving Systems of Linear Equations Special Cases
2.6.06: Practice Inverse Matrix Method
03: All Things Linear Inequality
3.01: Graphing Systems of Linear Inequalities
3.02: Linear Programming - Method of Corners
3.2.01: Maximization Applications
3.2.02: Minimization Applications
3.03: Linear Programming - The Simplex Method
3.3.01: Introduction to Linear Programming Applications in Business Finance Medicine and Social Science
3.3.02: Maximization By The Simplex Method
3.3.03: Minimization By The Simplex Method
3.04: Chapter 3 Practice Problems
3.4.01: Practice Graphing Inequalities
3.4.02: Practice Method of Corners (Max)
3.4.03: Practice Method of Corners (Min)
3.4.04: Practice Mixed
3.4.05: Practice (Simplex)
3.4.06: Practice Mixed Applications
04: All Things Math of Finance
4.01: Simple Interest Linear Growth
4.02: Exponential and Logarithmic Functions
4.2.01: Prelude to Exponential and Logarithmic Functions
4.2.02: Exponential Growth and Decay Models
4.2.03: Graphs and Properties of Exponential Growth and Decay Functions
4.2.04: Logarithms and Logarithmic Functions
4.2.05: Graphs and Properties of Logarithmic Functions
4.03: Compound Interest Exponential Growth
4.3.01: Introduction
4.3.02: Compound Interest
4.3.03: Comparing Simple and Compound Interest Summary
4.04: Annuities
4.4.01: Annuities and Sinking Funds
4.4.02: Present Value of an Annuity and Installment Payment
4.05: Amortization Schedules and More About Loans
4.06: Classification of Finance Problems
4.07: Chapter 4 Practice Problems
4.7.01: Practice Simple Interest
4.7.02: Practice with Compound Interest
4.7.03: Practice Annuities and Sinking Funds
4.7.04: Practice Present Value and Payments
4.7.05: Practice Amortization and Loans
4.7.06: Practice Classifying Math of Finance Problems
4.7.07: Chapter Review
05: Additional Content
5.01: Markov Chains
5.1.01: Introduction to Markov Chains
5.1.1.01: Introduction to Markov Chains (Exercises)
5.1.02: Applications of Markov Chains
5.1.2.01: Applications of Markov Chains (Exercises)
5.1.03: Regular Markov Chains
5.1.3.01: Regular Markov Chains (Exercises)
5.1.04: Absorbing Markov Chains
5.1.4.01: Absorbing Markov Chains (Exercises)
5.1.05: CHAPTER REVIEW
5.02: Game Theory
5.2.01: Strictly Determined Games
5.2.1.01: Strictly Determined Games (Exercises)
5.2.02: Non-Strictly Determined Games
5.2.2.01: Non-Strictly Determined Games (Exercises)
5.2.03: Reduction by Dominance
5.2.3.01: Reduction by Dominance (Exercises)
5.2.04: Chapter Review