A Survey of Mathematics with Applications, 11th edition
Published by Pearson (January 2, 2020) © 2021
- Allen R. Angel Monroe Community College
- Christine D. Abbott Monroe Community College
- Dennis Runde State College of Florida
Title overview
A Survey of Mathematics with Applications shows how mathematics affects the world around you and its importance in your life and future career.
Table of contents
Table of Contents
- Critical Thinking Skills
- 1.1 Inductive and Deductive Reasoning
- 1.2 Estimation Techniques
- 1.3 Problem-Solving Procedures
- Sets
- 2.1 Set Concepts
- 2.2 Subsets
- 2.3 Venn Diagrams and Set Operations
- 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets
- 2.5 Applications of Sets
- 2.6 Infinite Sets
- Logic
- 3.1 Statements and Logical Connectives
- 3.2 Truth Tables for Negation, Conjunction, and Disjunction
- 3.3 Truth Tables for the Conditional and Biconditional
- 3.4 Equivalent Statements
- 3.5 Symbolic Arguments
- 3.6 Euler Diagrams and Syllogistic Arguments
- 3.7 Switching Circuits
- Systems of Numeration
- 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration
- 4.2 Place-Value or Positional-Value Numeration Systems
- 4.3 Other Bases
- 4.4 Perform Computations in Other Bases
- 4.5 Early Computational Methods
- Number Theory and the Real Number System
- 5.1 Number Theory
- 5.2 The Integers
- 5.3 The Rational Numbers
- 5.4 The Irrational Numbers
- 5.5 Real Numbers and Their Properties
- 5.6 Rules of Exponents and Scientific Notation
- 5.7 Arithmetic and Geometric Sequences
- 5.8 Fibonacci Sequence
- Algebra, Graphs, and Functions
- 6.1 Order of Operations and Solving Linear Equations
- 6.2 Formulas
- 6.3 Applications of Algebra
- 6.4 Variation
- 6.5 Solving Linear Inequalities
- 6.6 Graphing Linear Equations
- 6.7 Solving Systems of Linear Equations
- 6.8 Linear Inequalities in Two Variables and Systems of Linear Inequalities
- 6.9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula
- 6.10 Functions and Their Graphs
- The Metric System
- 7.1 Basic Terms and Conversions Within the Metric System
- 7.2 Length, Area, and Volume
- 7.3 Mass and Temperature
- 7.4 Dimensional Analysis and Conversions to and from the Metric System
- Geometry
- 8.1 Points, Lines, Planes, and Angles
- 8.2 Polygons
- 8.3 Perimeter and Area
- 8.4 Volume and Surface Area
- 8.5 Transformational Geometry, Symmetry, and Tessellations
- 8.6 Topology
- 8.7 Non-Euclidean Geometry and Fractal Geometry
- Mathematical Systems
- 9.1 Groups
- 9.2 Finite Mathematical Systems
- 9.3 Modular Arithmetic
- 9.4 Matrices
- Consumer Mathematics
- 10.1 Percent
- 10.2 Personal Loans and Simple Interest
- 10.3 Compound Interest
- 10.4 Installment Buying
- 10.5 Buying a House with a Mortgage
- 10.6 Ordinary Annuities, Sinking Funds, and Retirement Investments
- Probability
- 11.1 Empirical and Theoretical Probabilities
- 11.2 Odds
- 11.3 Expected Value (Expectation)
- 11.4 Tree Diagrams 678
- 11.5 OR and AND Problems
- 11.6 Conditional Probability
- 11.7 The Fundamental Counting Principle and Permutations
- 11.8 Combinations
- 11.9 Solving Probability Problems by Using Combinations
- 11.10 Binomial Probability Formula
- Statistics
- 12.1 Sampling Techniques and Misuses of Statistics
- 12.2 Frequency Distributions and Statistical Graphs
- 12.3 Measures of Central Tendency and Position
- 12.4 Measures of Dispersion
- 12.5 The Normal Curve
- 12.6 Linear Correlation and Regression
- Graph Theory
- 13.1 Graphs, Paths, and Circuits
- 13.2 Euler Paths and Euler Circuits
- 13.3 Hamilton Paths and Hamilton Circuits
- 13.4 Trees 864 14 Voting and Apportionment
- Voting and Apportionment
- 14.1 Voting Methods
- 14.2 Flaws of the Voting Methods
- 14.3 Apportionment Methods
- 14.4 Flaws of the Apportionment Methods