Math 230-Mathematics for Liberal Arts Students

Mathematics

Nhà xuất bản: Los Angeles City 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· 102 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: Mathematics of Finance
4.01: Simple Interest and Discount
4.1.01: Simple Interest and Discount (Exercises)
4.02: Compound Interest
4.2.01: Compound Interest (Exercises)
4.03: Annuities and Sinking Funds
4.3.01: Annuities and Sinking Funds (Exercises)
4.04: Present Value of an Annuity and Installment Payment
4.4.01: Present Value of an Annuity and Installment Payment (Exercises)
4.05: Miscellaneous Application Problems
4.5.01: Miscellaneous Application Problems (Exercises)
4.06: Classification of Finance Problems
4.6.01: Classification of Finance Problems (Exercises)
4.07: Chapter Review
05: Logic
5.01: Introduction
5.02: Statements and Quantifiers
5.03: Compound Statements
5.04: Constructing Truth Tables
5.05: Truth Tables for the Conditional and Biconditional
5.06: Equivalent Statements
5.07: De Morgans Laws
5.08: Logical Arguments
5.09: Chapter Summary
5.9.01: Key Terms
5.9.02: Key Concepts
5.9.03: Videos
5.9.04: Projects
5.9.05: Chapter Review
5.9.06: Chapter Test
06: Sets and Counting
6.01: Sets and Counting
6.1.01: Sets and Counting (Exercises)
6.02: Tree Diagrams and the Multiplication Axiom
6.2.01: Tree Diagrams and the Multiplication Axiom (Exercises)
6.03: Permutations
6.3.01: Permutations (Exercises)
6.04: Circular Permutations and Permutations with Similar Elements
6.4.01: Circular Permutations and Permutations with Similar Elements (Exercises)
6.05: Combinations
6.5.01: Combinations (Exercises)
6.06: Combinations- Involving Several Sets
6.6.01: Combinations- Involving Several Sets (Exercises)
6.07: Binomial Theorem
6.7.01: Binomial Theorem (Exercises)
6.08: Chapter Review
07: Probability
7.01: Sample Spaces and Probability
7.1.01: Sample Spaces and Probability (Exercises)
7.02: Mutually Exclusive Events and the Addition Rule
7.2.01: Mutually Exclusive Events and the Addition Rule (Exercises)
7.03: Probability Using Tree Diagrams and Combinations
7.3.01: Probability Using Tree Diagrams and Combinations (Exercises)
7.04: Conditional Probability
7.4.01: Conditional Probability (Exercises)
7.05: Independent Events
7.5.01: Independent Events (Exercises)
7.06: Chapter Review
08: More Probability
8.01: Binomial Probability
8.1.01: Binomial Probability (Exercises)
8.02: Bayes' Formula
8.2.01: Bayes' Formula (Exercises)
8.03: Expected Value
8.3.01: Expected Value (Exercises)
8.04: Probability Using Tree Diagrams
8.4.01: Probability Using Tree Diagrams (Exercises)
8.05: The Normal Distribution
8.06: Applications of the Normal Distribution
8.07: Chapter Review