College Mathematics for Technology

by Cheryl S. Cleaves; Paul Dudenhefer; Margie Hobbs

Edition:

4th

ISBN13:

9780137166145

ISBN10:

0137166141

Format:

Hardcover

Pub. Date:

9/1/1997

Publisher(s):

Prentice Hall

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Summary

This book offers a "six-step approach" to problem solving, numerous tips, and clear, concise explanations that explore the concepts behind mathematical processes. Simplified language appeals to a variety of learning styles, and promotes active, independent, and lifelong learning -- while strengthening critical thinking and writing skills. This book addresses curriculum and pedagogy standards that are initiatives of the American Mathematical Association of two-year Colleges (AMATYC), the National Council of Teachers of Mathematics (NCTM), and the Mathematics Association of America (MAA). It focuses on number, symbol, spatial and geometric, function, and probability and statistical sense. Other features include career applications, and mathematics in the workplace articles that demonstrate the relationship of chapter concepts to highly sought after job skills -- such as computational, research, and critical thinking/decision-making.

CHAPTER 1 Whole Numbers and Decimals

(68)

1-1 Whole Numbers, Decimals, and the Place-Value System

(12)

1-2 Adding Whole Numbers and Decimals

(7)

1-3 Subtracting Whole Numbers and Decimals

(5)

1-4 Multiplying Whole Numbers and Decimals

(10)

1-5 Dividing Whole Numbers and Decimals

(10)

1-6 Exponents, Roots, and Powers of 10

(7)

1-7 Order of Operations

(16)

CHAPTER 2 Integers

(34)

2-1 Natural Numbers, Whole Numbers, and Integers

(7)

2-2 Addition with Integers

(2)

2-3 Subtracting Integers

(4)

2-4 Multiplying Integers

(4)

2-5 Dividing Integers

(1)

2-6 Order of Operations

(14)

CHAPTER 3 Fractions and Percents

103

(72)

3-1 Fraction Terminology

104

(4)

3-2 Multiples, Divisibility, and Factor Pairs

108

(3)

3-3 Prime and Composite Numbers

111

(3)

3-4 Least Common Multiple and Greatest Common Factor

114

(2)

3-5 Equivalent Fractions and Decimals

116

(6)

3-6 Improper Fractions and Mixed Numbers

122

(2)

3-7 Finding Common Denominators and Comparing Fractions and Decimals

124

(4)

3-8 Adding Fractions and Mixed Numbers

128

(4)

3-9 Subtracting Fractions and Mixed Numbers

132

(4)

3-10 Multiplying Fractions and Mixed Numbers

136

(4)

3-11 Dividing Fractions and Mixed Numbers

140

(5)

3-12 Signed Fractions and Decimals

145

(3)

3-13 Calculators with Fraction Key

148

(2)

3-14 Finding Number and Percent Equivalents

150

(25)

CHAPTER 4 Problem Solving with Percents

175

(39)

4-1 Percentage Proportion

176

(4)

4-2 Solving Percentage Problems

180

(9)

4-3 Increases and Decreases

189

(5)

4-4 Business Applications

194

(20)

CHAPTER 5 Direct Measurement

214

(46)

5-1 The U.S. Customary System of Measurement

215

(8)

5-2 Adding and Subtracting U.S. Customary Measures

223

(2)

5-3 Multiplying and Dividing U.S. Customary Measures

225

(6)

5-4 Introduction to the Metric System

231

(12)

5-5 Metric-U.S. Customary Comparisons

243

(2)

5-6 Reading Instruments Used to Measure Length

245

(15)

CHAPTER 6 Area and Perimeter

260

(27)

6-1 Squares, Rectangles, and Parallelograms

261

(10)

6-2 Area and Circumference of a Circle

271

(16)

CHAPTER 7 Interpreting and Analyzing Data

287

(30)

7-1 Reading Circle, Bar, and Line Graphs

288

(4)

7-2 Frequency Distributions, Histograms, and Frequency Polygons

292

(4)

7-3 Finding Statistical Measures

296

(4)

7-4 Counting Techniques and Simple Probabilities

300

(17)

CHAPTER 8 Symbolic Representation

317

(31)

8-1 Rational Numbers

318

(4)

8-2 Real Numbers

322

(6)

8-3 Variable Notation

328

(7)

8-4 Function Notation

335

(13)

CHAPTER 9 Linear Equations

348

(28)

9-1 Solving Basic Equations

349

(4)

9-2 Isolating the Variable in Solving Equations

353

(4)

9-3 Applying the Distributive Property in Solving Equations

357

(3)

9-4 Strategies for Problem Solving

360

(16)

CHAPTER 10 Equations with Fractions and Decimals

376

(39)

10-1 Solving Fractional Equations by Clearing the Denominators

377

(8)

10-2 Solving Decimal Equations

385

(5)

10-3 Using Proportions to Solve Problems

390

(25)

CHAPTER 11 Powers and Logarithms

415

(44)

11-1 Laws of Exponents

416

(5)

11-2 Basic Operations with Algebraic Expressions Containing Powers

421

(4)

11-3 Powers of 10 and Scientific Notation

425

(8)

11-4 Polynomials

433

(4)

11-5 Exponential Expressions, Equations, and Formulas

437

(4)

11-6 Logarithmic Expressions

441

(18)

CHAPTER 12 Roots and Radicals

459

(28)

12-1 Roots and Notation Conventions

460

(3)

12-2 Simplifying Square-Root Expressions

463

(3)

12-3 Basic Operations with Square-Root Radicals

466

(6)

12-4 Complex and Imaginary Numbers

472

(3)

12-5 Equations with Squares and Square Roots

475

(12)

CHAPTER 13 Formulas and Applications

487

(50)

13-1 Formula Evaluation

488

(4)

13-2 Formula Rearrangement

492

(4)

13-3 Temperature Formulas

496

(5)

13-4 Geometric Formulas

501

(18)

13-5 Miscellaneous Technical Formulas

519

(18)

CHAPTER 14 Products and Factors

537

(30)

14-1 The Distributive Property and Common Factors

538

(2)

14-2 Multiplying Polynomials

540

(5)

14-3 Factoring Special Products

545

(3)

14-4 Factoring General Trinomials

548

(19)

CHAPTER 15 Solving Quadratic and Higher-Degree Equations

567

(27)

15-1 Quadratic Equations

568

(2)

15-2 Solving Quadratic Equations Using the Quadratic Formula

570

(6)

15-3 Solving Pure Quadratic Equations: ax(2) + c = 0

576

(2)

15-4 Solving Incomplete Quadratic Equations: ax(2) + bx = 0

578

(3)

15-5 Solving Complete Quadratic Equations by Factoring

581

(1)

15-6 Selecting an Appropriate Method for Solving Quadratic Equations

582

(2)

15-7 Solving Higher-Degree Equations by Factoring

584

(10)

CHAPTER 16 Rational Expressions

594

(25)

16-1 Simplifying Rational Expressions

595

(4)

16-2 Multiplying and Dividing Rational Expressions

599

(3)

16-3 Adding and Subtracting Rational Expressions

602

(4)

16-4 Solving Equations with Rational Expressions

606

(13)

CHAPTER 17 Inequalities and Absolute Values

619

(36)

17-1 Inequalities and Sets

620

(3)

17-2 Solving Simple Linear Inequalities

623

(4)

17-3 Compound Inequalities

627

(7)

17-4 Solving Quadratic and Rational Inequalities

634

(7)

17-5 Equations Containing One Absolute-Value Term

641

(2)

17-6 Absolute-Value Inequalities

643

(12)

CHAPTER 18 Graphical Representation

655

(39)

18-1 Graphical Representation of Equations

656

(6)

18-2 Linear Equations in Two Variables and Function Notation

662

(3)

18-3 Graphing Linear Equations with Two Variables

665

(8)

18-4 Graphing Linear Inequalities with Two Variables

673

(4)

18-5 Graphing Quadratic Equations and Inequalities

677

(17)

CHAPTER 19 Slope and Distance

694

(34)

19-1 Slope

695

(4)

19-2 Point-Slope Form of an Equation

699

(3)

19-3 Slope-Intercept Form of an Equation

702

(4)

19-4 Parallel Lines

706

(3)

19-5 Perpendicular Lines

709

(4)

19-6 Distance and Midpoints

713

(15)

CHAPTER 20 Systems of Equations and Inequalities

728

(29)

20-1 Solving Systems of Equations and Inequalities Graphically

729

(4)

20-2 Solving Systems of Equations Using the Addition Method

733

(7)

20-3 Solving Systems of Equations by the Substitution Method

740

(2)

20-4 Problem Solving Using Systems of Equations

742

(15)

CHAPTER 21 Selected Concepts of Geometry

757

(64)

21-1 Basic Terminology and Notation

758

(6)

21-2 Angle Calculations

764

(5)

21-3 Triangles

769

(10)

21-4 Polygons

779

(7)

21-5 Sectors and Segments of a Circle

786

(4)

21-6 Inscribed and Circumscribed Regular Polygons and Circles

790

(31)

CHAPTER 22 Introduction to Trigonometry

821

(28)

22-1 Radians and Degrees

822

(6)

22-2 Trigonometric Functions

828

(6)

22-3 Using a Calculator to Find Trigonometric Values

834

(15)

CHAPTER 23 Right-Triangle Trigonometry

849

(27)

23-1 Sine, Cosine, and Tangent Functions

850

(8)

23-2 Applied Problems Using Right-Triangle Trigonometry

858

(18)

CHAPTER 24 Oblique Triangles

876

(44)

24-1 Vectors

877

(5)

24-2 Trigonometric Functions for Any Angle

882

(5)

24-3 Law of Sines

887

(8)

24-4 Law of Cosines

895

(5)

24-5 Area of Triangles

900

(20)

Selected Answers to Student Exercise Material

920

(83)

Index

1003

College Mathematics for Technology

9780137166145

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