A Survey of Mathematics with Applications, 11th edition

Allen R. Angel
, Christine D. Abbott
, Dennis Runde

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Survey of Mathematics with Applications focuses on everyday math in everyday language, showing you how mathematics affects the world around us. With straightforward narrative, detailed examples and interesting applications, the authors demonstrate the importance of mathematics in daily life. Support for problem solving and exam prep helps you succeed in the course, with learning resources such as Critical Thinking Skills sections, Key Idea boxes, Timely Tips, Chapter Summaries, Review Exercises and Chapter Tests. The 11th Edition updates data throughout, revises Technology Tips, adds new Downloadable Data sets and more.

ISBN-13: 9780137409099

Subject: Liberal Arts Math

Category: Liberal Arts Math

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