Mathematics All Around, 6th edition

  • Tom Pirnot

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Mathematics All Aroundmakes math relevant, through engaging real-world applications, and approachable, via a supportive and patient writing style. In addition, problem-solving methods and how to apply them are reinforced throughout the text.

Published by Pearson (January 1st 2021) - Copyright © 2018

ISBN-13: 9780137442867

Subject: Service Math

Category: Liberal Arts Math

Table of contents

1. Problem Solving
Skill Review Topics
Objective: Percent conversions
Objective: Translate algebraic expressions to word phrases and word phrases to algebraic expressions
Objective: Evaluating an algebraic expression
Objective: Evaluate a formula
1.1 Problem Solving
1.2 Inductive and Deductive Reasoning
1.3 Estimation

2. Set Theory
Skill Review Topics
Objective: Exponents and order of operations
Objective: Compare real numbers
Objective: Solve linear equations using the addition property
2.1 The Language of Sets
2.2 Comparing Sets
2.3 Set Operations
2.4 Survey Problems
2.5 Looking Deeper: Infinite Sets

3. Logic
3.1 Statements, Connectives, and Quantifiers
3.2 Truth Tables
3.3 The Conditional and Biconditional
3.4 Verifying Arguments
3.5 Using Euler Diagrams to Verify Syllogisms
3.6 Looking Deeper: Fuzzy Logic

4. Graph Theory
4.1 Graphs, Puzzles, and Map Coloring
4.2 The Traveling Salesperson Problem
4.3 Directed Graphs
4.4 Looking Deeper: Scheduling Projects Using PERT

5. Numeration Systems
Skill Review Topics
Objective: Decimals
Objective: Add real numbers
Objective: Subtract real numbers
Objective: Multiply real numbers
Objective: Divide real numbers
5.1 The Evolution of Numeration Systems
5.2 Place Value Systems
5.3 Calculating in Other Bases
5.4 Looking Deeper: Modular Systems

6. Number Theory and the Real Number System
Skill Review Topics
Objective: Square roots
Objective: Solve applied problems involving algebraic expressions or formulas
6.1 Number Theory
6.2 The Integers
6.3 The Rational Numbers
6.4 The Real Number System
6.5 Exponents and Scientific Notation
6.6 Looking Deeper: Sequences

7. Algebraic Models
Skill Review Topics
Objective: Solve a linear inequality using the addition and multiplication properties of inequalities
Objective: Find the slope of a line that passes through two given points
Objective: Determine whether the slope of a given line is positive, negative, zero, or undefined
Objective: Solve a proportion
Objective: Solve quadratic equations by using the square root property
7.1 Linear Equations
7.2 Modeling with Linear Equations
7.3 Modeling with Quadratic Equations
7.4 Exponential Equations and Growth
7.5 Proportions and Variation
7.6 Modeling with Systems of Linear Equations and Inequalities
7.7 Looking Deeper: Dynamical Systems

8. Consumer Mathematics
Skill Review Topics
Objective: Solve linear equations using the multiplication property
Objective: Evaluate exponential functions
Objective: Write equivalent exponential and logarithmic equations
Objective: Evaluate logarithms
Objective: Solve logarithmic equations
8.1 Percents, Taxes, and Inflation
8.2 Interests
8.3 Consumer Loans
8.4 Annuities
8.5 Amortized Loans
8.6 Looking Deeper: Annual Percentage Rate

9. Geometry
9.1 Lines, Angles, and Circles
9.2 Polygons
9.3 Perimeter and Area
9.4 Volume and Surface Area
9.5 The Metric System and Dimensional Analysis
9.6 Geometric Symmetry and Tessellations
9.7 Looking Deeper: Fractals

10. Apportionment
10.1 Understanding Apportionment
10.2 The Huntington−Hill Apportionment Principle
10.3 Other Paradoxes and Apportionment Methods
10.4 Looking Deeper: Fair Division

11. Voting
11.1 Voting Methods
11.2 Defects in Voting Methods
11.3 Weighted Voting Systems
11.4 Looking Deeper: The Shapley-Shubik Index

12. Counting
Skill Review Topics
Objective: Fractions
12.1 Introduction to Counting Methods
12.2 The Fundamental Counting Principle
12.3 Permutations and Combinations
12.4 Looking Deeper: Counting and Gambling

13. Probability
Skill Review Topics
Objective: Solve a linear equation using both the addition and multiplication properties
13.1 The Basics of Probability Theory
13.2 Complements and Union of Events
13.3 Conditional Probability and Intersections of Events
13.4 Expected Value
13.5 Looking Deeper: Binomial Experiments

14. Descriptive Statistics
Skill Review Topics
Objective: Find the opposite and absolute value of real numbers
Objective: Identify and plot points on a coordinate plane
Objective: Identify the slope and y-intercept of an equation written in slope-intercept form
Objective: Graph a line using its slope and y-intercept
14.1 Organizing and Visualizing Data
14.2 Measures of Central Tendency
14.3 Measures of Dispersion
14.4 The Normal Distribution
14.5 Looking Deeper: Linear Correlation

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