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A Survey of Mathematics with Applications, 11th edition

Published by Pearson (January 16, 2020) © 2021

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

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

Everyday math in everyday language

Survey of Mathematics with Applications is a text students can understand and enjoy while learning how mathematics affects the world around them, particularly majors in liberal arts, social sciences, business, nursing and allied health. With straightforward language, detailed examples and interesting applications, the authors demonstrate the importance of mathematics in students' lives. The 11th Edition updates data throughout, revises Technology Tips, adds new Downloadable Data sets and more.

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. Recreational Mathematics problems appear in the exercise sets.

New and updated features of this title

  • Annotations on prerequisites are provided on the first page of each section in the Annotated Instructor Edition. This list of prerequisite skills needed for that section are included in the MyLab Math course as the Integrated Review feature, with assessment and remediation available.
  • Downloadable Data Sets: For problems and examples in which students are expected to analyze data, the Data Set icon indicates the data is available to download in StatCrunch®, *.txt and *.csv formats.
  • Animation and StatCrunch icons throughout the narrative of the text encourage students to get hands on with the topics to enrich their understanding of concepts. These new animations and StatCrunch activities can be used for independent exploration or can be used in class during lectures.
  • Technology Tips are updated to go beyond graphing calculators and spreadsheets. Content now includes references to apps on smartphones and tablets to explore various mathematical concepts and to solve application problems.
  • Data has been updated to the most current available, and contexts of applications or examples have been updated to be more relevant.

Features of MyLab Math for the 11th Edition

  • Updated Integrated Review provides embedded and personalized review of prerequisite topics within relevant chapters. Premade, editable assignments and resources ensure students are up to speed on prerequisite topics for each chapter. Integrated Review is ideal for both helping underprepared students or for a corequisite course.
  • New Personal Inventory Assessments exercises promote self-reflection and engagement, including topics such as a Stress Management Assessment and Time Management Assessment.
  • A new Mindset module offers growth mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity.
  • New Animations let students interact with the math visually, allowing them to explore and manipulate the mathematical concepts.
  • New StatCrunch® activities facilitate active exploration.
  • New Tech Help for Statistics exercises: for exercises where students might use statistical software, a Tech Help button gives access to keystroke-by-keystroke instructions for StatCrunch, Excel, and TI Graphing Calculators. The Tech Help button can be suppressed for instructors who don't want students to use these technologies.

    Chapter 1: Critical Thinking Skills

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

    Chapter 2: 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

    Chapter 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

    Chapter 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

    Chapter 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 Fibonacci Sequence

    Chapter 6: 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

    Chapter 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

    Chapter 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

    Chapter 9: Mathematical Systems

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

    Chapter 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

    Chapter 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

    Chapter 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

    Chapter 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 

    Chapter 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

Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He 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 and watching sports. He also enjoys 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 25 years at State College of Florida–Manatee-Sarasota. His interests include reading, history, fishing, canoeing and cooking. He and his wife Kristin stay busy keeping up with their 3 sons Alex, Nick and Max.

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