Technical Mathematics I

by McHale, Thomas J.; Witzke, Paul T.

• ISBN13: 9780201154085
• ISBN10: 0201154080
• Edition: 1st
• Format: Paperback
• Copyright: 1988-01-01
• Publisher: Pearson

Summary

Technical Mathematics I and II offer a programmed, worktext approach to technical math with numerous examples and problems. There is a consistent emphasis on practical uses of the calculator throughout the text. Also included is coverage of geometry, factoring, and analytic geometry. The supplemental test booklet offers the instructor a full and flexible set of tests.

Table of Contents

Real Numbers	1	(1)
Real Numbers	1	(4)
Order and Absolute Value	5	(3)
Addition and Subtraction	8	(6)
Self-Test 1	13	(1)
Multiplication And Division	14	(3)
Operations With Zero	17	(2)
Properties Of Addition And Multiplication	19	(3)
Integral Exponents	22	(5)
Self-Test 2	26	(1)
Laws Of Exponents	27	(3)
Powers Of Ten	30	(3)
Scientific Notation	33	(5)
Self-Test 3	37	(1)
Order Of Operations	38	(3)
Translating Phrases To Algebraic Expressions	41	(4)
Evaluating Algebraic Expressions And Formulas	45
Self-Test 4	49	(1)
Supplementary Problems-Chapter 1	50
Solving Equations	54	(1)
The Addition Axiom	54	(4)
The Multiplication Axiom	58	(5)
Using Both Axioms	63	(5)
Self-Test 5	67	(1)
The Distributive Principle	68	(2)
Combining Like Terms	70	(5)
Equations With Like Terms On Opposite Sides	75	(4)
Self-Test 6	78	(1)
Removing Grouping Symbols	79	(2)
Equations With Grouping Symbols	81	(4)
Square Roots	85	(3)
Table: Square Root Approximations	88	(2)
Self-Test 7	89	(1)
Pure Quadratic Equations	90	(2)
Applied Problems Involving Formulas	92	(3)
Other Applied Problems	95
Self-Test 8	104	(1)
Supplementary Problems-Chapter 2	105
Fractional Equations	109	(1)
Equations Containing One Fraction	109	(6)
Fractions Containing An Instance Of The Distributive Principle	115	(3)
Equations With Two Terms On One Side	118	(2)
Self-Test 9	119	(1)
Proportions	120	(6)
Other Equations Containing Two Or More Fractions	126	(5)
Self-Test 10	130	(1)
Applied Problems Involving Formulas	131	(5)
Other Applied Problems	136
Self-Test 11	140	(1)
Supplementary Problems-Chapter 3	141
Percent, Proportion, Variation	144	(1)
Place Names And Word Names	144	(5)
Rounding	149	(2)
Introduction To The Calculator	151	(5)
Self-Test 12	155	(1)
Converting Percents To Fractions And Decimals	156	(2)
Converting Decimals And Fractions To Percents	158	(2)
The Three Types Of Percent Problems	160	(3)
Applied Problems Involving Percents	163	(4)
Self-Test 13	166	(1)
Ratio And Proportion	167	(2)
Cross-Multiplication And Proportions	169	(3)
Applied Problems Involving Ratios And Proportions	172	(5)
Self-Test 14	176	(1)
Direct Variation	177	(2)
Inverse Variation	179	(2)
Quadratic Variation	181	(3)
Joint And Combined Variation	184
Self-Test 15	187	(1)
Supplementary Problems-Chapter 4	188
Calculator Operations	192	(1)
Addition, Subtraction, Multiplication	192	(2)
Single Divisions	194	(3)
Multiple Divisions	197	(6)
Self-Test 16	202	(1)
Squares	203	(3)
Square Roots	206	(5)
Cubes And Cube Roots	211	(3)
Self-Test 17	213	(1)
Formulas In Proportion Form	214	(1)
Calculator Answers In Scientific Notation	215	(2)
Operations With Numbers In Scientific Notation	217	(4)
Evaluations Involving Numbers In Scientific Notation	221	(3)
Self-Test 18	223	(1)
Formulas Containing Parentheses	224	(3)
Using Parentheses For Divisions	227	(2)
Using Memory For Divisions	229
Self-Test 19	232	(1)
Supplementary Problems-Chapter 5	233
Measurements	236	(1)
English System	236	(4)
Metric System	240	(4)
English-Metric Conversions	244	(2)
Rates	246	(5)
Self-Test 20	250	(1)
Temperature	251	(3)
The Decimal Number System And Powers Of Ten	254	(2)
Metric Prefixes And Powers Of Ten	256	(3)
Metric Conversions Involving Larger And Smaller Numbers	259	(4)
Self-Test 21	262	(1)
Precision, Limits, Absolute Error	263	(4)
Significant Digits	267	(4)
Relative Error And Accuracy	271	(3)
Operations With Measurements	274
Self-Test 22	278	(1)
Supplementary Problems-Chapter 6	279
Geometry	282	(1)
Plane Figures	282	(6)
Similar Triangles	288	(2)
Perimeter Of Plane Figures	290	(2)
Area Of Plane Figures	292	(8)
Self-Test 23	299	(1)
Composite Figures	300	(3)
Units Of Area	303	(2)
Volume Of Right Prisms	305	(4)
Units Of Volume	309	(4)
Self-Test 24	312	(1)
Volume Of Other Solids	313	(3)
Surface Area	316	(3)
Density	319
Self-Test 25	322	(1)
Supplementary Problems-Chapter 7	323
Algebraic Fractions	326	(1)
Multiplication	326	(2)
Reducing To Lowest Terms	328	(3)
Cancelling To Reduce To Lowest Terms	331	(3)
Reciprocals And Division	334	(5)
Self-Test 26	338	(1)
Addition And Subtraction With Like Denominators	339	(2)
Equivalent Forms	341	(2)
Finding Lowest Common Denominators	343	(3)
Addition And Subtraction With Unlike Denominators	346	(5)
Self-Test 27	350	(1)
Adding And Subtracting A Fraction And A Non-Fraction	351	(1)
Equivalent Forms For Sums And Differences	352	(3)
Contrasting Two Patterns	355	(1)
The Distributive Principle	356	(3)
Self-Test 28	358	(1)
Reducing Patterns To Lowest Terms	359	(3)
Cancelling To Reduce Patterns To Lowest Terms	362	(4)
Complex Fractions	366
Self-Test 29	370	(1)
Supplementary Problems-Chapter 8	371
Formula Rearrangement	374	(1)
Formula Rearrangement	374	(2)
Terms And Coefficients	376	(2)
The Multiplication Axiom	378	(2)
Fractional Formulas	380	(5)
Self-Test 30	384	(1)
The Square Root Principle	385	(3)
Additive Inverses And Addition-Subtraction Conversions	388	(1)
The Addition Axiom	389	(2)
The Inverse Principle	391	(4)
Self-Test 31	394	(1)
Multiplying By The Distributive Principle	395	(3)
Another Method And Equivalent Forms Of Solutions	398	(3)
Factoring By The Distributive Principle	401	(6)
Self-Test 32	406	(1)
A Preferred From For Fractional Solutions	407	(3)
Distributive-Principle Terms	410	(4)
Distributive-Principle Denominators	414
Self-Test 33	417	(1)
Supplementary Problems-Chapter 9	418
Functions And Graphs	420	(1)
Linear Equations	420	(3)
The Coordinate System	423	(4)
Graphing Linear Equations	427	(7)
Self-Test 34	433	(1)
Slope Of A Line	434	(6)
Slope-Intercept Form	440	(3)
Graphing Non-Linear Equations	443	(5)
Self-Test 35	447	(1)
Graphs Of Formulas	448	(4)
Functions	452
Self-Test 36	459	(1)
Supplementary Problems-Chapter 10	460
Right Triangles	464	(1)
The Angle-Sum Principle For Triangles	464	(2)
Labeling Angles And Sides In Triangles	466	(1)
The Pythagorean Theorem	467	(5)
Isosceles And Equilateral Triangles	472	(4)
Self-Test 37	475	(1)
The Tangent Ratio	476	(5)
The Sine Ratio	481	(3)
The Cosine Ratio	484	(3)
Contrasting The Basic Trigonometric Ratios	487	(4)
Self-Test 38	490	(1)
Finding Unknown Sides In Right Triangles	491	(4)
Finding Unknown Angles In Right Triangles	495	(3)
Applied Problems	498
Self-Test 39	500	(1)
Supplementary Problems-Chapter 11	501
Oblique Triangles	504	(1)
Oblique Triangles	504	(3)
Right-Triangle Methods And Oblique Triangles	507	(2)
The Law Of Sines	509	(4)
Using The Law Of Sines To Find Sides	513	(4)
Using The Law Of Sines To Find Angles	517	(3)
Self-Test 40	519	(1)
Limitations Of The Law Of Sines	520	(3)
The Law Of Cosines	523	(3)
Using The Law Of Cosines To Find Sides And Angles	526	(5)
Self-Test 41	531	(1)
Obtuse Angles And The Law Of Sines	531	(4)
Obtuse Angles And The Law Of Cosines	535	(1)
Strategies For Solving Triangles	536	(4)
Applied Problems	540	(4)
Self-Test 42	543	(1)
Supplementary Problems-Chapter 12	544
Systems Of Two Equations And Formulas	547	(1)
The Graphing Method	547	(4)
The Addition Method	551	(2)
Multiplication In The Addition Method	553	(6)
Self-Test 43	558	(1)
Converting To Standard Form	559	(2)
Decimal Coefficients	561	(2)
The Substitution Method	563	(6)
Self-Test 44	568	(1)
Applied Problems	569	(7)
More Applied Problems	576	(3)
Self-Test 45	578	(1)
Systems Of Formulas And Formula Derivation	579	(1)
The Substitution Method And Formula Derivation	580	(5)
The Equivalence Method And Formula Derivation	585
Self-Test 46	592	(1)
Supplementary Problems-Chapter 13	593
Systems Of Three Equations And Determinants	597	(1)
Second-Order Determinants	597	(2)
The Determinant Method-Cramer's Rule	599	(2)
Systems Of Three Equations	601	(5)
Self-Test 47	605	(1)
Applied Problems	606	(3)
Systems Of Three Formulas And Formula Derivation	609	(3)
Self-Test 48	611	(1)
Third-Order Determinants	612	(3)
The Determinant Method - Systems Of Three Equations	615
Self-Test 49	619	(2)
Supplementary Problems-Chapter 14	621
Powers, Roots, Logarithms	624	(1)
Powers And Roots	624	(3)
Powers With Decimal Exponents	627	(3)
Evaluating Formulas Containing Powers	630	(3)
Self-Test 50	632	(1)
Powers Of Ten With Decimal Exponents	633	(2)
Common Logarithms	635	(2)
Solving Power-Of-Ten And ``Log'' Equations	637	(2)
Evaluating ``Log'' Formulas	639	(4)
Self-Test 51	642	(1)
Powers Of e	643	(1)
Evaluating Formulas Containing Powers Of e	644	(3)
Natural Logarithms	647	(3)
Solving Power-Of-e And ``Ln'' Equations	650	(2)
Evaluating `Ln'' Formulas	652
Self-Test 52	654	(1)
Supplementary Problems-Chapter 15	655
Answers For Supplementary Problems	658	(1)
Index	669