Contemporary Mathematics

Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.

Applied Mathematics Mathematics

Tác giả: OpenStax
Nhà xuất bản: OpenStax
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 350 mục

01: Sets
1.00: Introduction
1.01: Basic Set Concepts
1.1.00: Exercises
1.02: Subsets
1.2.00: Exercises
1.03: Understanding Venn Diagrams
1.3.00: Exercises
1.04: Set Operations with Two Sets
1.4.00: Exercises
1.05: Set Operations with Three Sets
1.5.00: Exercises
1.06: Chapter Summary
1.6.00: Key Terms
1.6.01: Key Concepts
1.6.02: Videos
1.6.03: Formula Review
1.6.04: Projects
1.6.05: Chapter Review
1.6.06: Chapter Test
02: Logic
2.00: Introduction
2.01: Statements and Quantifiers
2.1.00: Exercises
2.02: Compound Statements
2.2.00: New Page
2.03: Constructing Truth Tables
2.3.00: Exercises
2.04: Truth Tables for the Conditional and Biconditional
2.4.00: Exercises
2.05: Equivalent Statements
2.5.00: Exercises
2.06: De Morgans Laws
2.6.00: Exercises
2.07: Logical Arguments
2.7.00: Exercises
2.08: Chapter Summary
2.8.00: Key Terms
2.8.01: Key Concepts
2.8.02: Videos
2.8.03: Projects
2.8.04: Chapter Review
2.8.05: Chapter Test
03: Real Number Systems and Number Theory
3.00: Introduction
3.01: Prime and Composite Numbers
3.1.00: Exercises
3.02: The Integers
3.2.00: Exercises
3.03: Order of Operations
3.3.00: Exercises
3.04: Rational Numbers
3.4.00: Exercises
3.05: Irrational Numbers
3.5.00: Exercises
3.06: Real Numbers
3.6.00: Exercises
3.07: Clock Arithmetic
3.7.00: Exercises
3.08: Exponents
3.8.00: Exercises
3.09: Scientific Notation
3.9.00: Exercises
3.10: Arithmetic Sequences
3.10.00: Exercises
3.11: Geometric Sequences
3.11.00: Exercises
3.12: Chapter Summary
3.12.00: Key Terms
3.12.01: Key Concepts
3.12.02: Videos
3.12.03: Formula Review
3.12.04: Projects
3.12.05: Chapter Review
3.12.06: Chapter Test
04: Number Representation and Calculation
4.00: Hindu-Arabic Positional System
4.0.00: Exercises
4.00: Introduction
4.01: Early Numeration Systems
4.1.00: Exercises
4.02: Converting with Base Systems
4.2.00: Exercises
4.03: Addition and Subtraction in Base Systems
4.3.00: Exercises
4.04: Multiplication and Division in Base Systems
4.4.00: Exercises
4.05: Chapter Summary
4.5.00: Key Terms
4.5.01: Key Concepts
4.5.02: Videos
4.5.03: Projects
4.5.04: Chapter Review
4.5.05: Chapter Test
05: Algebra
5.00: Introduction
5.01: Algebraic Expressions
5.1.01: Exercises
5.02: Linear Equations in One Variable with Applications
5.2.01: Exercises
5.03: Linear Inequalities in One Variable with Applications
5.3.01: Exercises
5.04: Ratios and Proportions
5.4.01: Exercises
5.05: Graphing Linear Equations and Inequalities
5.5.01: Exercises
5.06: Quadratic Equations in One Variable With Applications
5.6.00: Exercises
5.07: Functions
5.7.01: Exercises
5.08: Graphing Functions
5.8.01: Exercises
5.09: Systems of Linear Equations in Two Variables
5.9.01: Exercises
5.10: Systems of Linear Inequalities in Two Variables
5.10.00: Exercises
5.11: Linear Programming
5.11.01: Exercises
5.12: Chapter Summary
5.12.00: Key Terms
5.12.01: Key Concepts
5.12.02: Videos
5.12.03: Formula Review
5.12.04: Projects
5.12.05: Chapter Review
5.12.06: Chapter Test
06: Money Management
6.00: Introduction
6.01: Understanding Percent
6.1.00: Exercises
6.02: Discounts Markups and Sales Tax
6.2.00: Exercises
6.03: Simple Interest
6.3.00: Exercises
6.04: Compound Interest
6.4.00: Exercises
6.05: Making a Personal Budget
6.5.00: Exercises
6.06: Methods of Savings
6.6.00: Exercises
6.07: Investments
6.7.00: Exercises
6.08: The Basics of Loans
6.8.00: Exercises
6.09: Understanding Student Loans
6.9.00: Exercises
6.10: Credit Cards
6.10.00: Exercises
6.11: Buying or Leasing a Car
6.11.00: Exercises
6.12: Renting and Homeownership
6.12.00: Exercises
6.13: Income Tax
6.13.00: Exercises
6.14: Chapter Summary
6.14.00: Key Terms
6.14.01: Key Concepts
6.14.02: Videos
6.14.03: Formula Review
6.14.04: Projects
6.14.05: Chapter Review
6.14.06: Chapter Test
07: Probability
7.00: Introduction
7.01: The Multiplication Rule for Counting
7.1.00: Exercises
7.02: Permutations
7.2.00: Exercises
7.03: Combinations
7.3.00: Exercises
7.04: Tree Diagrams Tables and Outcomes
7.4.00: Exercises
7.05: Basic Concepts of Probability
7.5.00: Exercises
7.06: Probability with Permutations and Combinations
7.6.00: Exercises
7.07: What Are the Odds
7.7.00: Exercises
7.08: The Addition Rule for Probability
7.8.00: Exercises
7.09: Conditional Probability and the Multiplication Rule
7.9.00: Exercises
7.10: The Binomial Distribution
7.10.00: Exercises
7.11: Expected Value
7.11.00: Exercises
7.12: Chapter Summary
7.12.00: Key Terms
7.12.01: Key Concepts
7.12.02: Formula Review
7.12.03: Projects
7.12.04: Chapter Review
7.12.05: Chapter Test
08: Statistics
8.00: Introduction
8.01: Gathering and Organizing Data
8.1.00: Exercises
8.02: Visualizing Data
8.2.00: Exercises
8.03: Mean Median and Mode
8.3.00: Exercises
8.04: Range and Standard Deviation
8.4.00: Exercises
8.05: Percentiles
8.5.00: Exercises
8.06: The Normal Distribution
8.6.00: Exercises
8.07: Applications of the Normal Distribution
8.7.00: Exercises
8.08: Scatter Plots Correlation and Regression Lines
8.8.00: Exercises
8.09: Chapter Summary
8.9.00: Key Terms
8.9.01: Key Concepts
8.9.02: Videos
8.9.03: Formula Review
8.9.04: Projects
8.9.05: Chapter Review
8.9.06: Chapter Test
09: Metric Measurement
9.00: Introduction
9.01: The Metric System
9.1.00: Exercises
9.02: Measuring Area
9.2.00: Exercises
9.03: Measuring Volume
9.3.00: Exercises
9.04: Measuring Weight
9.4.00: Exercises
9.05: Measuring Temperature
9.5.00: Exercises
9.06: Chapter Summary
9.6.00: Key Terms
9.6.01: Key Concepts
9.6.02: Videos
9.6.03: Formula Review
9.6.04: Projects
9.6.05: Chapter Review
9.6.06: Chapter Test
10: Geometry
10.00: Introduction
10.01: Points Lines and Planes
10.1.00: Exercises
10.02: Angles
10.2.00: Exercises
10.03: Triangles
10.3.00: Exercises
10.04: Polygons Perimeter and Circumference
10.4.00: Exercises
10.05: Tessellations
10.5.00: Exercises
10.06: Area
10.6.00: Exercises
10.07: Volume and Surface Area
10.7.00: Exercises
10.08: Right Triangle Trigonometry
10.8.00: Exercises
10.09: Chapter Summary
10.9.00: Key Terms
10.9.01: Key Concepts
10.9.02: Videos
10.9.03: Formula Review
10.9.04: Projects
10.9.05: Chapter Review
10.9.06: Chapter Test
11: Voting and Apportionment
11.00: Introduction
11.01: Voting Methods
11.1.00: Exercises
11.02: Fairness in Voting Methods
11.2.00: Exercises
11.03: Standard Divisors Standard Quotas and the Apportionment Problem
11.3.00: Exercises
11.04: Apportionment Methods
11.4.00: Exercises
11.05: Fairness in Apportionment Methods
11.5.00: Exercises
11.06: Chapter Summary
11.6.00: Key Terms
11.6.01: Key Concepts
11.6.02: Videos
11.6.03: Formula Review
11.6.04: Projects
11.6.05: Chapter Review
11.6.06: Chapter Test
12: Graph Theory
12.00: Introduction
12.01: Graph Basics
12.1.00: Exercises
12.02: Graph Structures
12.2.00: Exercises
12.03: Comparing Graphs
12.3.00: Exercises
12.04: Navigating Graphs
12.4.00: Exercises
12.05: Euler Circuits
12.5.00: Exercises
12.06: Euler Trails
12.6.00: Exercises
12.07: Hamilton Cycles
12.7.00: Exercises
12.08: Hamilton Paths
12.8.01: Exercises
12.09: Traveling Salesperson Problem
12.9.01: Exercises
12.10: Trees
12.10.01: Exercises
12.11: Chapter Summary
12.11.00: Key Terms
12.11.01: Key Concepts
12.11.02: Videos
12.11.03: Formula Review
12.11.04: Projects
12.11.05: Chapter Review
12.11.06: Chapter Test
13: Math and...
13.00: Introduction
13.01: Math and Art
13.1.00: Exercises
13.02: Math and the Environment
13.2.00: Exercises
13.03: Math and Medicine
13.3.00: Exercises
13.04: Math and Music
13.4.00: Exercises
13.05: Math and Sports
13.5.00: Exercises
13.06: Chapter Summary
13.6.00: Key Terms
13.6.01: Key Concepts
13.6.02: Formula Review
13.6.03: Projects
13.6.04: Chapter Review
13.6.05: Chapter Test
14: Appendix
14.00: Integer Powers of 10
15: Answer Key
15.00: Chapter 1
15.01: Chapter 2
15.02: Chapter 3
15.03: Chapter 4
15.04: Chapter 5
15.05: Chapter 6
15.06: Chapter 7
15.07: Chapter 8
15.08: Chapter 9
15.09: Chapter 10
15.10: Chapter 11
15.11: Chapter 12
15.12: Chapter 13