College Mathematics for Technology

by Cheryl S. Cleaves; Paul Dudenhefer; Margie Hobbs

• ISBN13: 9780137166145
• ISBN10: 0137166141
• Edition: 4th
• Format: Hardcover
• Copyright: 1997-09-01
• Publisher: Prentice Hall

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.

Table of Contents

CHAPTER 1 Whole Numbers and Decimals	1	(68)
1-1 Whole Numbers, Decimals, and the Place-Value System	2	(12)
1-2 Adding Whole Numbers and Decimals	14	(7)
1-3 Subtracting Whole Numbers and Decimals	21	(5)
1-4 Multiplying Whole Numbers and Decimals	26	(10)
1-5 Dividing Whole Numbers and Decimals	36	(10)
1-6 Exponents, Roots, and Powers of 10	46	(7)
1-7 Order of Operations	53	(16)
CHAPTER 2 Integers	69	(34)
2-1 Natural Numbers, Whole Numbers, and Integers	70	(7)
2-2 Addition with Integers	77	(2)
2-3 Subtracting Integers	80	(4)
2-4 Multiplying Integers	84	(4)
2-5 Dividing Integers	88	(1)
2-6 Order of Operations	89	(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