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.
Conditions of Use
This book is licensed under a Creative Commons License (CC BY-NC-SA). You can download the ebook Contemporary Mathematics for free.
- Title
- Contemporary Mathematics
- Publisher
- OpenStax
- Author(s)
- Donna Kirk
- Published
- 2023-12-21
- Edition
- 1
- Format
- eBook (pdf, epub, mobi)
- Pages
- 1573
- Language
- English
- ISBN-10
- 1711470546
- ISBN-13
- 9781711470542
- License
- CC BY-NC-SA
- Book Homepage
- Free eBook, Errata, Code, Solutions, etc.
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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Videos Formula Review Projects Chapter Review Chapter Test 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 Key Terms Key Concepts Formula Review Projects Chapter Review Chapter Test Appendix A Co-Req Appendix: Integer Powers of 10 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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