Thinking Mathematically, 5th Edition Test Bank – Robert F. Blitzer

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  • ISBN-10 ‏ : ‎ 9780321645852
  • ISBN-13 ‏ : ‎ 978-0321645852
  • Author: Bob Blitzer

Blitzer continues to raise the bar with his engaging applications developed to motivate readers from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author’s unique background in art, psychology, and math to present math in the context of real-world applications. The author understands the needs of nervous readers and provides helpful tools in every chapter to help them master the material. Voice balloons are strategically placed throughout the book, showing what an instructor would say when leading a student through a problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice.

Table Of Contents:

  1. Problem Solving and Critical Thinking

    1.1 Inductive and Deductive Reasoning

    1.2 Estimation, Graphs, and Mathematical Models

    1.3 Problem Solving

    2. Set Theory

    2.1 Basic Set Concepts

    2.2 Subsets

    2.3 Venn Diagrams and Set Operations

    2.4 Set Operations and Venn Diagrams with Three Sets

    2.5 Survey Problems

    3. Logic

    3.1 Statements, Negations, and Quantified Statements

    3.2 Compound Statements and Connectives

    3.3 Truth Tables for Negations, Conjunction, and Disjunction

    3.4 Truth Tables for the Conditional and the Biconditional

    3.5 Equivalent Statements and Variations of Conditional Statements

    3.6 Negations of Conditional Statements and De Morgan’s Laws

    3.7 Arguments and Truth Tables

    3.8 Arguments and Euler Diagrams

    4. Number Representation and Calculation

    4.1 Our Hindu-Arabic System and Early Positional Systems

    4.2 Number Bases in Positional Systems

    4.3 Computation in Positional Systems

    4.4 Looking Back at Early Numeration Systems

    5. Number Theory and the Real Number System

    5.1 Number Theory, Prime and Composite Numbers

    5.2 The Integers; Order of Operations

    5.3 The Rational Numbers

    5.4 The Irrational Numbers

    5.5 Real Numbers and Their Properties

    5.6 Exponents and Scientific Notation

    5.7 Arithmetic and Geometric Sequences

    6. Algebra: Equations and Inequalities

    6.1 Algebraic Expressions and Formulas

    6.2 Linear Equations in One Variable and Proportions

    6.3 Applications of Linear Equations

    6.4 Linear Inequalities in One Variable

    6.5 Quadratic Equations

    7. Algebra: Graphs, Functions, and Linear Systems

    7.1 Graphing and Functions

    7.2 Linear Functions and Their Graphs

    7.3 Systems of Linear Equations in Two Variables

    7.4 Linear Inequalities in Two Variables

    7.5 Linear Programming

    7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions

    8. Consumer Mathematics and Financial Management

    8.1 Percent, Sales Tax, and Income Tax

    8.2 Simple Interest

    8.3 Compound Interest

    8.4 Annuities, Stocks, and Bonds

    8.5 Installment Loans, Amortization, and Credit Cards

    9. Measurement

    9.1 Measuring Length; The Metric System

    9.2 Measuring Area and Volume

    9.3 Measuring Weight and Temperature

    10. Geometry

    10.1 Points, Lines, Planes, and Angles

    10.2 Triangles

    10.3 Polygons, Perimeter, and Tessellations

    10.4 Area and Circumference

    10.5 Volume

    10.6 Right Triangle Trigonometry

    10.7 Beyond Euclidean Geometry

    11. Counting Methods and Probability Theory

    11.1 The Fundamental Counting Principle

    11.2 Permutations

    11.3 Combinations

    11.4 Fundamentals of Probability

    11.5 Probability with the Fundamental Counting principle, Permutations, and Combinations

    11.6 Events Involving Not and Or; Odds

    11.7 Events Involving And; Conditional Probability

    11.8 Expected Value

    12. Statistics

    12.1 Sampling, Frequency Distributions, and Graphs

    12.2 Measures of Central Tendency

    12.3 Measures of Dispersion

    12.4 The Normal Distribution

    12.5 Problem Solving with the Normal Distribution

    12.6 Scatter Plots, Correlation, and Regression Lines

    13. Mathematical Systems

    13.1 Mathematical Systems

    13.2 Rotational Symmetry, Groups, and Clock Arithmetic

    14. Voting and Apportionment

    14.1 Voting Methods

    14.2 Flaws of Voting Methods

    14.3 Apportionment Methods

    14.4 Flaws of Apportionment Methods

    15. Graph Theory

    15.5 Graphs, Paths, and Circuits

    15.2 Euler Paths and Euler Circuits

    15.3 Hamilton Paths and Hamilton Circuits

    15.4 Trees

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