9780138955175

Mathematics for Technical Education

by ; ;
  • ISBN13:

    9780138955175

  • ISBN10:

    0138955174

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1997-12-01
  • Publisher: Pearson College Div

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Supplemental Materials

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Summary

Appropriate for courses in Technical Mathematics. This text provides the mathematics skills required for a successful career in a technical or engineering technology discipline. It presents topics in an intuitive manner with technical applications integrated throughout whenever possible. The Third Edition has been carefully reviewed and special efforts have been taken to emphasize clarity and accuracy of presentation.

Table of Contents

1 Fundamental Concepts
1(60)
1.1 The Real Number System
1(5)
Operations with Signed Numbers
2(4)
1.2 Zero and Order of Operations
6(4)
1.3 Scientific Notation and Powers of 10
10(6)
1.4 Introduction to the SI Metric System
16(4)
1.5 Length
20(4)
Conversion Factors
21(3)
1.6 Mass
24(2)
1.7 Volume and Area
26(5)
Volume
26(2)
Area
28(3)
1.8 Temperature, Time, Current, and Power
31(7)
Temperature
31(3)
Time
34(1)
Current
35(1)
Power
36(2)
1.9 Specialized Conversions for Electronics
38(5)
Engineering Notation
40(1)
Reciprocal unit Relationships
40(3)
1.10 Other Conversions
43(3)
1.11 Measurement
46(3)
Approximate versus Exact Numbers
46(1)
Accuracy and Significant Digits
46(1)
Precision
47(2)
1.12 Operations with Measurements
49(4)
Chapter Summary
53(3)
Chapter 1 Review
56(3)
APPLICATION Precision-Machined Computer Disks
59(2)
2 Fundamental Algebraic Concepts
61(54)
2.1 Algebraic Expressions
61(6)
2.2 Exponents and Radicals
67(5)
2.3 Multiplication of Algebraic Expressions
72(4)
2.4 Division of Algebraic Expressions
76(3)
2.5 Linear Equations
79(5)
2.6 Formulas
84(3)
2.7 Substitution of Data into Formulas
87(5)
2.8 Applications Involving Linear Equations
92(5)
2.9 Ratio and Proportion
97(6)
2.10 Variation
103(5)
Chapter Summary
108(4)
Chapter 2 Review
112(3)
3 Right-Triangle Trigonometry
115(36)
3.1 The Trigonometric Ratios
115(10)
3.2 Values of the Trigonometric Ratios
125(7)
3.3 Solving Right Triangles
132(5)
3.4 Applications of the Right Triangle
137(8)
Chapter Summary
145(1)
Chapter 3 Review
146(2)
APPLICATION The Global Positioning System
148(3)
4 Equations and Their Graphs
151(32)
4.1 Functions
151(6)
Functional Notation
153(4)
4.2 Graphing Equations
157(8)
Solving Equations by Graphing
160(5)
4.3 The Straight Line
165(8)
4.4 Parallel and Perpendicular Lines
173(4)
4.5 The Distance and Midpoint Formulas
177(3)
Chapter Summary
180(1)
Chapter 4 Review
181(2)
5 Factoring and Algebraic Fractions
183(33)
5.1 Special Products
183(3)
5.2 Factoring Algebraic Expressions
186(6)
5.3 Other Forms of Factoring
192(3)
5.4 Equivalent Fractions
195(3)
5.5 Multiplication and Division of Algebraic Fractions
198(4)
5.6 Addition and Subtraction of Algebraic Fractions
202(4)
5.7 Complex Fractions
206(3)
5.8 Equations with Fractions
209(4)
Chapter Summary
213(1)
Chapter 5 Review
214(2)
6 Systems of Linear Equations
216(50)
6.1 Solving a System of Two Linear Equations
216(10)
6.2 Other Systems of Equations
226(3)
6.3 Solving a System of Three Linear Equations
229(5)
6.4 Determinants
234(5)
6.5 Properties of Determinants
239(4)
6.6 Solving a System of Linear Equations Using Determinants
243(7)
6.7 Partial Fractions
250(7)
Chapter Summary
257(3)
Chapter 6 Review
260(4)
APPLICATION Solar Cell Technology
264(2)
7 Quadratic Equations
266(18)
7.1 Solving a Quadratic Equation by Factoring
266(4)
7.2 Solving Quadratic Equations by Completing the Square
270(3)
7.3 The Quadratic Formula
273(4)
7.4 Applications
277(5)
Chapter Summary
282(1)
Chapter 7 Review
283(1)
8 Exponents and Radicals
284(26)
8.1 Integral Exponents
284(4)
8.2 Fractional Exponents
288(4)
8.3 Simplest Radical Form
292(6)
8.4 Addition and Subtraction of Radicals
298(2)
8.5 Multiplication and Division of Radicals
300(3)
8.6 Equations with Radicals
303(3)
8.7 Equations in Quadratic Form
306(2)
Chapter Summary
308(1)
Chapter 8 Review
309(1)
9 Exponentials and Logarithms
310(48)
9.1 The Exponential Function
311(5)
9.2 The Logarithm
316(3)
9.3 Properties of Logarithms
319(5)
9.4 Common Logarithms
324(4)
9.5 Natural Logarithms
328(7)
Logarithms with Other Bases
331(4)
9.6 Solving Exponential Equations
335(3)
9.7 Solving Logarithmic Equations
338(2)
9.8 Applications: Solving Exponential and Logarithmic Equations
340(4)
9.9 Data along a Straight Line
344(7)
Using Rectangular Graph Paper
344(1)
Using Logarithmic Graph Paper
345(3)
Using Semilogarithmic Graph Paper
348(3)
Chapter Summary
351(1)
Chapter 9 Review
352(4)
APPLICATION Airbags
356(2)
10 Trigonometric Functions
358(29)
10.1 The Trigonometric Functions
358(8)
10.2 Trigonometric Functions of Any Angle
366(6)
10.3 Radian Measure
372(7)
10.4 Use of Radian Measure
379(5)
Chapter Summary
384(1)
Chapter 10 Review
385(2)
11 Oblique Triangles and Vectors
387(50)
11.1 Law of Sines
387(7)
11.2 The Ambiguous Case
394(4)
11.3 Law of Cosines
398(4)
11.4 Applications of Oblique Triangles
402(6)
11.5 Addition of Vectors: Graphical Methods
408(7)
11.6 Addition of Vectors: Trigonometric Methods
415(2)
11.7 Vector Components
417(8)
11.8 Vector Applications
425(7)
Displacement
425(1)
Velocity
426(1)
Force
427(5)
Chapter Summary
432(1)
Chapter 11 Review
433(4)
12 Graphing the Trigonometric Functions
437(23)
12.1 Graphing the Sine and Cosine Functions
437(6)
12.2 Phase Shift
443(4)
12.3 Graphing the Other Trigonometric Functions
447(3)
12.4 Graphing Composite Curves
450(2)
12.5 Simple Harmonic Motion
452(4)
Chapter Summary
456(1)
Chapter 12 Review
457(1)
APPLICATION Improving Color Television
458(2)
13 Trigonometric Formulas and Identities
460(36)
13.1 Basic Trigonometric Identities
460(7)
Method 1: Use of Trigonometric Definitions
461(2)
Method 2: Substitution of Known Identities
463(1)
Method 3: Factoring One Side of the Identity
464(1)
Method 4: Multiplication of the Numerator and Denominator of a Fractional Expression
465(1)
Method 5: Expressing All Functions on One Side in Terms of Sines and Cosines
465(2)
13.2 Formulas for the Sum and the Difference of Two Angles
467(5)
13.3 Double- and Half-Angle Formulas
472(6)
13.4 Trigonometric Equations
478(3)
13.5 Inverse Trigonometric Relations
481(6)
13.6 Inverse Trigonometric Functions
487(5)
Chapter Summary
492(2)
Chapter 13 Review
494(2)
14 Complex Numbers
496(22)
14.1 Complex Numbers in Rectangular Form
496(6)
14.2 Trigonometric and Exponential Forms of Complex Numbers
502(3)
14.3 Multiplication and Division of Complex Numbers in Exponential and Trigonometric Forms
505(5)
14.4 Powers and Roots
510(4)
Chapter Summary
514(2)
Chapter 14 Review
516(2)
15 Analytic Geometry
518(57)
15.1 The Circle
518(5)
15.2 The Parabola
523(9)
15.3 The Ellipse
532(5)
15.4 The Hyperbola
537(6)
15.5 Translation of Axes
543(6)
15.6 The General Second-Degree Equation
549(1)
15.7 Systems of Quadratic Equations
550(4)
Substitution Method
550(2)
Addition-Subtraction Method
552(2)
15.8 Polar Coordinates
554(9)
15.9 Graphs in Polar Coordinates
563(7)
Chapter Summary
570(2)
Chapter 15 Review
572(3)
APPENDIX A Review of Geometry 575(6)
A.1 Angles and Lines 575(1)
A.2 Triangles 576(2)
A.3 Quadrilaterals 578(1)
A.4 Circles 579(1)
A.5 Areas and Volumes of Solids 580(1)
APPENDIX B Calculator: Degrees, Minutes, Seconds 581(3)
APPENDIX C An Alternate Method for Evaluating Third-Order Determinants 584(4)
APPENDIX D Using a Graphing Calculator 588(22)
D.1 Introduction to the TI-83 Keyboard 588(3)
D.2 Computational Examples 591(2)
D.3 Graphing Features 593(2)
D.4 Examples of Graphing 595(7)
D.5 Trigonometric Functions and Polar Coordinates 602(3)
D.6 Equation-Solving and Tables Features 605(5)
APPENDIX E Tables
610(5)
Answers to Odd-Numbered Exercises and Chapter Reviews 615(50)
Index 665

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