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.
Author(s): Donna Kirk
Publisher: OpenStax
Year: 2023
Language: English
Pages: 1565
Contents
Preface
Chapter 1 Sets
Introduction
1.1 Basic Set Concepts
1.2 Subsets
1.3 Understanding Venn Diagrams
1.4 Set Operations with Two Sets
1.5 Set Operations with Three Sets
Chapter Summary
Chapter 2 Logic
Introduction
2.1 Statements and Quantifiers
2.2 Compound Statements
2.3 Constructing Truth Tables
2.4 Truth Tables for the Conditional and Biconditional
2.5 Equivalent Statements
2.6 De Morgan’s Laws
2.7 Logical Arguments
Chapter Summary
Chapter 3 Real Number Systems and Number Theory
Introduction
3.1 Prime and Composite Numbers
3.2 The Integers
3.3 Order of Operations
3.4 Rational Numbers
3.5 Irrational Numbers
3.6 Real Numbers
3.7 Clock Arithmetic
3.8 Exponents
3.9 Scientific Notation
3.10 Arithmetic Sequences
3.11 Geometric Sequences
Chapter Summary
Chapter 4 Number Representation and Calculation
Introduction
4.1 Hindu-Arabic Positional System
4.2 Early Numeration Systems
4.3 Converting with Base Systems
4.4 Addition and Subtraction in Base Systems
4.5 Multiplication and Division in Base Systems
Chapter Summary
Chapter 5 Algebra
Introduction
5.1 Algebraic Expressions
5.2 Linear Equations in One Variable with Applications
5.3 Linear Inequalities in One Variable with Applications
5.4 Ratios and Proportions
5.5 Graphing Linear Equations and Inequalities
5.6 Quadratic Equations with Two Variables with Applications
5.7 Functions
5.8 Graphing Functions
5.9 Systems of Linear Equations in Two Variables
5.10 Systems of Linear Inequalities in Two Variables
5.11 Linear Programming
Chapter Summary
Chapter 6 Money Management
Introduction
6.1 Understanding Percent
6.2 Discounts, Markups, and Sales Tax
6.3 Simple Interest
6.4 Compound Interest
6.5 Making a Personal Budget
6.6 Methods of Savings
6.7 Investments
6.8 The Basics of Loans
6.9 Understanding Student Loans
6.10 Credit Cards
6.11 Buying or Leasing a Car
6.12 Renting and Homeownership
6.13 Income Tax
Chapter Summary
Chapter 7 Probability
Introduction
7.1 The Multiplication Rule for Counting
7.2 Permutations
7.3 Combinations
7.4 Tree Diagrams, Tables, and Outcomes
7.5 Basic Concepts of Probability
7.6 Probability with Permutations and Combinations
7.7 What Are the Odds?
7.8 The Addition Rule for Probability
7.9 Conditional Probability and the Multiplication Rule
7.10 The Binomial Distribution
7.11 Expected Value
Chapter Summary
Chapter 8 Statistics
Introduction
8.1 Gathering and Organizing Data
8.2 Visualizing Data
8.3 Mean, Median and Mode
8.4 Range and Standard Deviation
8.5 Percentiles
8.6 The Normal Distribution
8.7 Applications of the Normal Distribution
8.8 Scatter Plots, Correlation, and Regression Lines
Chapter Summary
Chapter 9 Metric Measurement
Introduction
9.1 The Metric System
9.2 Measuring Area
9.3 Measuring Volume
9.4 Measuring Weight
9.5 Measuring Temperature
Chapter Summary
Chapter 10 Geometry
Introduction
10.1 Points, Lines, and Planes
10.2 Angles
10.3 Triangles
10.4 Polygons, Perimeter, and Circumference
10.5 Tessellations
10.6 Area
10.7 Volume and Surface Area
10.8 Right Triangle Trigonometry
Chapter Summary
Chapter 11 Voting and Apportionment
Introduction
11.1 Voting Methods
11.2 Fairness in Voting Methods
11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem
11.4 Apportionment Methods
11.5 Fairness in Apportionment Methods
Chapter Summary
Chapter 12 Graph Theory
Introduction
12.1 Graph Basics
12.2 Graph Structures
12.3 Comparing Graphs
12.4 Navigating Graphs
12.5 Euler Circuits
12.6 Euler Trails
12.7 Hamilton Cycles
12.8 Hamilton Paths
12.9 Traveling Salesperson Problem
12.10 Trees
Chapter Summary
Chapter 13 Math and...
Introduction
13.1 Math and Art
13.2 Math and the Environment
13.3 Math and Medicine
13.4 Math and Music
13.5 Math and Sports
Chapter Summary
Appendix A Co-Req Appendix: Integer Powers of 10
Nonnegative Integer Powers of 10
Negative Integer Powers of 10
Multiplying Integers by Positive Powers of 10
Multiplying by Negative Powers of 10
Moving the Decimal Place
Answer Key
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Index
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