# Survey of Mathematics with Applications, A, 12th edition

Published by Pearson (April 28, 2024) © 2025

**Allen R. Angel**Monroe Community College**Christine D. Abbott**Monroe Community College**Dennis Runde**State College of Florida

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## MyLab

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For courses in Liberal Arts Math, Contemporary Mathematics or Survey of Mathematics.

### Emphasizes the significance of math in students’ daily lives

**A Survey of Mathematics with Applications** is a text students can read, understand and enjoy while learning how mathematics affects their world (particularly majors in the liberal arts, social sciences, business, nursing and allied health fields). Straightforward language makes math accessible to all students, and interesting real-world applications demonstrate the relevance of math in everyday life.

The **12th Edition** adds new Now Try exercises, expands coverage and exercises in financial literacy, and updates data and applications for currency and relevancy.

### Hallmark features of this title

**Exercise sets**begin with Warm Up Exercises and include Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Recreational Mathematics, and Research Activities.**Why This Is Important**helps students connect their lives to mathematical concepts.**Chapter Openers**are interesting applications that include the**Why This Is Important**section.**Did You Know?**highlights mathematical connections to history, arts and sciences, technology, and a range of disciplines.**Mathematics Today**discusses current real-life uses of the chapter's concepts. Each box ends with**Why This Is Important**.**Recreational Math**invites students to apply the math in puzzles, games and brain teasers. R**ecreational Mathematics problems**appear in the exercise sets.

### New and updated features of this title

**Now Try exercises:**After each example, students are guided to a corresponding exercise in the exercise set that closely resembles the example, enabling them to assess their comprehension by solving the similar exercise. In the exercise sets, these Now Try exercises are indicated with a green color and underline.**Financial literacy:**Problems which involve financial applications include a US dollar sign icon. An increased number of exercises relating to money and finance reflect their importance in consumer education.**Downloadable data sets**: A DS icon marks problems and examples in which students are expected to analyze a set of data, indicating that the data is available to download in *.txt and *.csv formats.- This revision
**greatly increases the number of exercises**in the text that use these downloadable data sets; all the data sets are housed in MyLab® Math and also online.

- This revision
**Data and context updates:**Time-sensitive data is updated to the most current available, or the context of a problem or narrative is revised so that it is more relevant to students.**Instructor Resources boxes:**In the annotated instructor’s editions of the text, new boxes have been added before the exercise sets in each section which list the available resources available in MyLab.

### Features of MyLab Math for the 12th Edition

**Brand new activities and projects**are written specifically to pair with the text. 2 projects per chapter can be assigned for group or individual work, delving into real-world applications to showcase the practical side of mathematical concepts. Emphasizing engagement and creativity, these projects encourage active learning, problem solving, and critical thinking.**Integrated Review**can be used to help fill students' prerequisite gaps, or for a corequisite course. Content has been revised to include resources specifically made for a liberal arts math corequisite course.**Integrated Review prebuilt assignments**include a chapter-level Skills Check along with follow-up personalized assignments and resources.**Skills Check Quizzes**by chapter assess the prerequisite skills students need for that chapter.**Skills Review Homework**by chapter is personalized (based on the results of the Skills Check Quiz) to provide students with targeted help on the prerequisite skills they need.

**StatCrunch**is incorporated into the course, including a new ability to launch data sets directly into StatCrunch for data analysis.**Exercise Labeling:**When creating assignments in the Assignment Manager, instructors can now filter the available questions using Question Source to more easily find the Now Try, Financial Literacy, and Data Set exercises. Financial Literacy exercises have also been tagged with a “-FL” in their exercise number for easier identification.

##### Each chapter concludes with Chapter Summary, Chapter Review Exercises, and Chapter Test.

### 1: Critical Thinking Skills

- 1.1 Inductive and Deductive Reasoning
- 1.2 Estimation Techniques
- 1.3 Problem-Solving Procedures

### 2: Sets

- 2.1 Set Concepts
- 2.2 Subsets
- 2.3 Venn Diagrams, Set Operations, and Data Representation
- 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets
- 2.5 Set Applications and Survey Data Analysis
- 2.6 Infinite Sets

### 3: 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

### 4: 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

### 5: 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 The Fibonacci Sequence and The Golden Ratio

### 6: Algebra, Graphs, and Functions

- 6.1 Order of Operations and Solving Linear Equations
- 6.2 Formulas and Modeling
- 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

### 7: 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

### 8: 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

### 9: Mathematical Systems

- 9.1 Groups
- 9.2 Finite Mathematical Systems
- 9.3 Modular Arithmetic
- 9.4 Matrices

### 10: 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

### 11: Probability

- 11.1 Empirical and Theoretical Probabilities
- 11.2 Odds
- 11.3 Expected Value (Expectation)
- 11.4 Tree Diagrams
- 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

### 12: 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

### 13: 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

### 14: 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

##### Answers

##### Index of Applications

##### Index

### About our authors

**Allen Angel **received his BS and MS in mathematics from SUNY at New Paltz, and completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two-Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two-Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis, watching sports, and traveling with his wife Kathy.

**Christine Abbott **received her undergraduate degree in mathematics from SUNY Brockport and her graduate degree in mathematics education from Syracuse University. Since then she has taught mathematics at Monroe Community College and has recently chaired the department. In her spare time she enjoys watching sporting events, particularly baseball, college basketball, college football, and the NFL. She also enjoys spending time with her family, traveling and reading.

**Dennis Runde **has a BS degree and an MS degree in Mathematics from the University of Wisconsin - Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for more than 34 years at State College of Florida - Manatee - Sarasota. His interests include reading, history, biking, canoeing and cooking. He and his wife Kristin have raised 3 wonderful sons (Alex, Nick and Max), who each have earned a college degree and are successfully employed.

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