9780321759665

A Survey of Mathematics with Applications

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

9th Edition

In a Liberal Arts Math course, a common question students ask is, "Why do I have to know this?" A Survey of Mathematics with Applications continues to be a best-seller because it shows students how we use mathematics in our daily lives and why this is important. The Ninth Edition further emphasizes this with the addition of new "Why This Is Important" sections throughout t

2.1

Set Concepts

Exercises

p.47

2.2

Subsets

Exercises

p.55

2.3

Venn Diagrams and Set Operations

Exercises

p.63

2.4

Venn Diagrams with Three Sets and Verification of Equality of Sets

Exercises

p.72

2.5

Applications of Sets

Exercises

p.80

2.6

Infinite Sets

Exercises

p.86

Review Exercises

p.88

Chapter Test

p.91

Group Projects

p.92

3.1

Statements and Logical Connectives

Exercises

p.101

3.2

Truth Tables for Negation, Conjunction, and Disjunction

Exercises

p.114

3.3

Truth Tables for the Conditional and Biconditional

Exercises

p.124

3.4

Equivalent Statements

Exercises

p.136

3.5

Symbolic Arguments

Exercises

p.147

3.6

Euler Diagrams and Syllogistic Arguments

Exercises

p.154

3.7

Switching Circuits

Exercises

p.161

Review Exercises

p.164

Chapter Test

p.167

Group Projects

p.168

4.1

Additive, Multiplicative, and Ciphered Systems of Numeration

Exercises

p.176

4.2

Place-Value or Positional-Value Numeration Systems

Exercises

p.183

4.3

Other Bases

Exercises

p.190

4.4

Computation in Other Bases

Exercises

p.198

4.5

Early Computational Methods

Exercises

p.203

Review Exercises

p.205

Chapter Test

p.207

Group Projects

p.208

5.1

Number Theory

Exercises

p.217

5.2

The Integers

Exercises

p.227

5.3

The Rational Numbers

Exercises

p.239

5.4

The Irrational Numbers and the Real Number Systems

Exercises

p.249

5.5

Real Numbers and Their Properties

Exercises

p.256

5.6

Rules of Exponents and Scientific Notation

Exercises

p.266

5.7

Arithmetic and Geometric Sequences

Exercises

p.275

5.8

Fibonacci Square

Exercises

p.282

Review Exercises

p.286

Chapter Test

p.289

Group Projects

p.289

6.1

Order of Operations

Exercises

p.295

6.2

Linear Equations in One Variable

Exercises

p.306

6.3

Formulas

Exercises

p.312

6.4

Applications of Linear Equations in One Variable

Exercises

p.317

6.5

Variation

Exercises

p.326

6.6

Linear Inequalities

Exercises

p.333

6.7

Graphing Linear Equations

Exercises

p.345

6.8

Linear Inequalities in Two Variables

Exercises

p.351

6.9

Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula

Exercises

p.360

6.10

Functions and Their Graphs

Exercises

p.373

Review Exercises

p.380

Chapter Test

p.383

Group Projects

p.384

7.1

Systems of Linear Equations

Exercises

p.391

7.2

Solving Systems of Linear Equations by the Substitution and Addition Methods

Exercises

p.401

7.3

Matrices

Exercises

p.410

7.4

Solving Systems of Linear Equations by Using Matrices

Exercises

p.419

7.5

Systems of Linear Inequalities

Exercises

p.423

7.6

Linear Programming

Exercises

p.428

Review Exercises

p.431

Chapter Test

p.432

Group Projects

p.433

8.1

Basic Terms and Conversions within the Metric Systems

Exercises

p.440

8.2

Length, Area, and Volume

Exercises

p.450

8.3

Mass and Temperature

Exercises

p.459

8.4

Dimensional Analysis and Conversions to and from the Metric Systems

Exercises

p.469

Review Exercises

p.474

Chapter Test

p.476

Group Projects

p.477

9.1

Points, Lines, Planes, and Angles

Exercises

p.486

9.2

Polygons

Exercises

p.496

9.3

Perimeter and Area

Exercises

p.507

9.4

Volume and Surface Area

Exercises

p.520

9.5

Transformational Geometry, Symmetry, and Tessellations

Exercises

p.537

9.6

Topology

Exercises

p.547

9.7

Non-Euclidean Geometry and Fractal Geometry

Exercises

p.556

Review Exercises

p.560

Chapter Test

p.563

Group Projects

p.564

11.1

Percent

Exercises

p.607

11.2

Personal Loans and Simple Interest

Exercises

p.618

11.3

Compound Interest

Exercises

p.627

11.4

Installment Buying

Exercises

p.641

11.5

Buying a House with a Mortgage

Exercises

p.654

11.6

Ordinary Annuities, Sinking Funds, and Retirement Investments

Exercises

p.664

Review Exercises

p.668

Chapter Test

p.671

Group Projects

p.672

12.1

The Nature of Probability

Exercises

p.679

12.2

Theoretical Probability

Exercises

p.687

12.3

Odds

Exercises

p.694

12.4

Expected Value (Expectation)

Exercises

p.703

12.5

Tree Diagrams

Exercises

p.712

12.6

OR and AND Problems

Exercises

p.723

12.7

Conditional Probability

Exercises

p.731

12.8

The Counting Principles and Permutations

Exercises

p.742

12.9

Combinations

Exercises

p.749

12.10

Solving Probability Problems by Using Combinations

Exercises

p.755

12.11

Binomial Probability Formula

Exercises

p.764

Review Exercises

p.767

Chapter Test

p.771

Group Projects

p.772

13.1

Sampling Techniques

Exercises

p.778

13.2

The Misuses of Statistics

Exercises

p.781

13.3

Frequency Distributions and Statistical Graphs

Exercises

p.792

13.4

Measures of Central Tendency

Exercises

p.802

13.5

Measures of Dispersion

Exercises

p.812

13.6

The Normal Curve

Exercises

p.828

13.7

Linear Correlation and Regression

Exercises

p.842

Review Exercises

p.848

Chapter Test

p.851

Group Projects

p.852