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College Mathematics for Technology,9780137166145

College Mathematics for Technology

by ; ;
Edition:
4th
ISBN13:

9780137166145

ISBN10:
0137166141
Format:
Hardcover
Pub. Date:
9/1/1997
Publisher(s):
Prentice Hall
List Price: $84.00

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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.

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


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