A Survey of Mathematics with Applications, 11th Edition © 2021

A Survey of Mathematics with Applications, published by Pearson, uses straightforward language and clear examples to reach students in the liberal arts, social sciences, business, and health fields and shows them how math ties into their interests and everyday lives.

  • New animations let students interact tangibly with math
  • New downloadable data sets for problems and examples
  • Empower students through personalized learning
  • MyMathLab® for School from Pearson flexible teaching and learning platform

High School Math Curriculum with Digital Resources

Make math personal for students focused on other disciplines with a math program that adapts to their needs.


Relevant Learning

The authors have added Why This Is Important Notes when presenting concepts to help students connect their lives to the math they are learning.


Problem Solving and Exam Support

Beginning in Chapter 1, students are introduced to problem solving and critical thinking. Special problem-solving exercises in the exercise sets weave this theme throughout the entire textbook.


Learn by Doing and Get Up to Speed

The list of prerequisite skills needed for each section are included in the Annotated Instructor Edition and the MyMathLab for School course along with assignable assessments and remediation.


Adjustable Pedagogy

The program’s online hub provides easy access to courses and assignments, usage stats and goals, announcements, and helpful tips on using the tools.

A Survey of Mathematics Teaching Solutions

  • Engaging and Relevant Material
  • Developing a Thoughtful Approach
  • Opportunities to Practice Prerequisite Skills
  • Online Platform Features

Engaging and Relevant Material

  • Data and Contexts
    Data and their contexts of application have been updated for current relevance.
  • Why This Is Important Section
    Interesting and motivational applications introduce each chapter, including the Why This Is Important section, illustrating the real-world nature of the topic.
  • Did You Know? Features
    Colorful and engaging Did You Know? Features highlight the connections of mathematics to history, the arts and sciences, technology, and other disciplines.
  • Recreational Math Features
    Recreational Math features invite students to apply the math in puzzles, games, and brain teasers. These features can also be assigned as homework.
  • Profiles in Mathematics
    Brief Profiles in Mathematics sketches and vignettes profile a diverse selection of historical figures who have advanced the discipline of mathematics.

Developing a Thoughtful Approach

  • Crucial Thinking Skills
    Sections on inductive and deductive reasoning, estimation, and dimensional analysis build crucial thinking skills as students work through the book.
  • Key-Idea Boxes
    Key-Idea Boxes call out important definitions, formulas, and procedures in ways that are easy for students to identify.
  • Timely Tips
    Timely Tips boxes offer helpful information to make the material under discussion more understandable.
  • Summary Charts
    End-of-chapter summary charts provide an easy study experience by directing students to the location in the text where specific concepts are discussed. Review Exercises and Chapter Tests help students go over material again and prepare for exams.

Opportunities to Practice Prerequisite Skills

  • New Data Sets
    New data sets can be downloaded in StatCrunch, .txt, and .csv file formats for problems and examples requiring analysis and marked with a Data Set icon.
  • Conceptual Enrichment
    Animations and StatCrunch icons throughout the narrative of the text encourage students to get hands-on with the topic and enrich their understanding of concepts. These new activities can be used in class or for independent exploration.
  • Warm-Up Exercises
    Exercise sets begin with fill-in-the-blank Warm-Up Exercises. Other exercises include Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Recreational Mathematics, and Research Activities.
  • Technology Tips
    Revised Technology Tips go beyond graphing calculators and spreadsheets. Content now references apps on smartphones and tablets to explore various mathematical concepts and solve application problems.

Online Platform Features

  • Integrated Review
    The updated Integrated Review provides embedded and personalized review of prerequisite topics within relevant chapters.
  • Personal Inventory Assessments
    New Personal Inventory Assessments promote self-reflection and engagement in students. The 33 assessments include topics such as Stress Management, Diagnosing Poor Performance, Enhancing Motivation, and Time Management.
  • StatCrunch Activities
    StatCrunch activities facilitate active learning and exploration through a powerful web-based statistical software that can be used to analyze and understand statistical concepts.
  • Comprehensive Video Program
    A comprehensive video program walks students through the concepts from every section of the text in a modern presentation format. Videos can be assigned and understanding tested via the accompanying video assessment questions.
  • Mindset Module
    A new mindset module is available in the course with growth-mindset-focused videos and exercises. Students develop a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity.

Empower Your Math Students with the MyMathLab® Platform from Pearson


MyMathLab® for School from Pearson empowers students and teachers with adaptive resources that can be used in a blended or 100% digital classroom.

More About A Survey of Mathematics with Applications

  • Allen Angel Author Bio
    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 Author Bio
    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 Author Bio
    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 twenty-five 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 three sons—Alex, Nick, and Max.
  • Table of Contents
    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 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

    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 Fibonacci Sequence

    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

    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 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

    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 864 14 Voting and Apportionment
    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

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