Applied Finite Mathematics

This text covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory. Finite Math covers a variety of topics united by their focus on mathematical techniques used in business applications. The growing field of “business analytics” encompasses many types of applications; the text gives insight to some methods used in industry, although we will explore them on a smaller scale.

Applied Mathematics Mathematics

Tác giả: Rupinder Sekhon and Roberta Bloom
Nhà xuất bản: De Anza College
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 122 mục

01: Linear Equations
1.01: Graphing a Linear Equation
1.1.01: Graphing a Linear Equation (Exercises)
1.02: Slope of a Line
1.2.01: Slope of a Line (Exercises)
1.03: Determining the Equation of a Line
1.3.01: Determining the Equation of a Line (Exercises)
1.04: Applications
1.4.01: Applications (Exercises)
1.05: More Applications
1.5.01: More Applications (Exercises)
1.06: Chapter Review
02: Matrices
2.01: Introduction to Matrices
2.1.01: Introduction to Matrices (Exercises)
2.02: Systems of Linear Equations and the Gauss-Jordan Method
2.2.01: Systems of Linear Equations and the Gauss-Jordan Method (Exercises)
2.03: Systems of Linear Equations Special Cases
2.3.01: Systems of Linear Equations Special Cases (Exercises)
2.04: Inverse Matrices
2.4.01: Inverse Matrices (Exercises)
2.05: Application of Matrices in Cryptography
2.5.01: Application of Matrices in Cryptography (Exercises)
2.06: Applications Leontief Models
2.6.01: Applications Leontief Models (Exercises)
2.07: Chapter Review
03: Linear Programming - A Geometric Approach
3.01: Maximization Applications
3.1.01: Maximization Applications (Exercises)
3.02: Minimization Applications
3.2.01: Minimization Applications (Exercises)
3.03: Chapter Review
04: Linear Programming The Simplex Method
4.01: Introduction to Linear Programming Applications in Business Finance Medicine and Social Science
4.02: Maximization By The Simplex Method
4.2.01: Maximization By The Simplex Method (Exercises)
4.03: Minimization By The Simplex Method
4.3.01: Minimization By The Simplex Method (Exercises)
4.04: Chapter Review
05: Exponential and Logarithmic Functions
5.01: Prelude to Exponential and Logarithmic Functions
5.02: Exponential Growth and Decay Models
5.2.01: Exponential Growth and Decay Models (Exercises)
5.03: Graphs and Properties of Exponential Growth and Decay Functions
5.3.01: Graphs and Properties of Exponential Growth and Decay Functions (Exercises)
5.04: Logarithms and Logarithmic Functions
5.4.01: Logarithms and Logarithmic Functions (Exercises)
5.05: Graphs and Properties of Logarithmic Functions
5.5.01: Graphs and Properties of Logarithmic Functions (Exercises)
5.06: Application Problems with Exponential and Logarithmic Functions
5.6.01: Applications of Exponential and Logarithmic Functions (Exercises)
5.07: Chapter Review
06: Mathematics of Finance
6.01: Simple Interest and Discount
6.1.01: Simple Interest and Discount (Exercises)
6.02: Compound Interest
6.2.01: Compound Interest (Exercises)
6.03: Annuities and Sinking Funds
6.3.01: Annuities and Sinking Funds (Exercises)
6.04: Present Value of an Annuity and Installment Payment
6.4.01: Present Value of an Annuity and Installment Payment (Exercises)
6.05: Miscellaneous Application Problems
6.5.01: Miscellaneous Application Problems (Exercises)
6.06: Classification of Finance Problems
6.6.01: Classification of Finance Problems (Exercises)
6.07: Chapter Review
07: Sets and Counting
7.01: Sets and Counting
7.1.01: Sets and Counting (Exercises)
7.02: Tree Diagrams and the Multiplication Axiom
7.2.01: Tree Diagrams and the Multiplication Axiom (Exercises)
7.03: Permutations
7.3.01: Permutations (Exercises)
7.04: Circular Permutations and Permutations with Similar Elements
7.4.01: Circular Permutations and Permutations with Similar Elements (Exercises)
7.05: Combinations
7.5.01: Combinations (Exercises)
7.06: Combinations- Involving Several Sets
7.6.01: Combinations- Involving Several Sets (Exercises)
7.07: Binomial Theorem
7.7.01: Binomial Theorem (Exercises)
7.08: Chapter Review
08: Probability
8.01: Sample Spaces and Probability
8.1.01: Sample Spaces and Probability (Exercises)
8.02: Mutually Exclusive Events and the Addition Rule
8.2.01: Mutually Exclusive Events and the Addition Rule (Exercises)
8.03: Probability Using Tree Diagrams and Combinations
8.3.01: Probability Using Tree Diagrams and Combinations (Exercises)
8.04: Conditional Probability
8.4.01: Conditional Probability (Exercises)
8.05: Independent Events
8.5.01: Independent Events (Exercises)
8.06: Chapter Review
09: More Probability
9.01: Binomial Probability
9.1.01: Binomial Probability (Exercises)
9.02: Bayes' Formula
9.2.01: Bayes' Formula (Exercises)
9.03: Expected Value
9.3.01: Expected Value (Exercises)
9.04: Probability Using Tree Diagrams
9.4.01: Probability Using Tree Diagrams (Exercises)
9.05: Chapter Review
10: Markov Chains
10.01: Introduction to Markov Chains
10.1.01: Introduction to Markov Chains (Exercises)
10.02: Applications of Markov Chains
10.2.01: Applications of Markov Chains (Exercises)
10.03: Regular Markov Chains
10.3.01: Regular Markov Chains (Exercises)
10.04: Absorbing Markov Chains
10.4.01: Absorbing Markov Chains (Exercises)
10.05: CHAPTER REVIEW
11: Game Theory
11.01: Strictly Determined Games
11.1.01: Strictly Determined Games (Exercises)
11.02: Non-Strictly Determined Games
11.2.01: Non-Strictly Determined Games (Exercises)
11.03: Reduction by Dominance
11.3.01: Reduction by Dominance (Exercises)
11.04: Chapter Review