Mathematics Its Power and Utility (with iLrn Tutorial)

by Smith, Karl J.

• ISBN13: 9780534999544
• ISBN10: 0534999549
• Edition: 8th
• Format: Hardcover
• Copyright: 2005-06-24
• Publisher: Brooks Cole

Summary

Part I: FOUNDATIONS: THE POWER OF MATHEMATICS. 1. Arithmetic, Calculators, and Problem Solving. Math Anxiety. Formulating the Problem. Fractions and Decimals. Rounding and Estimation. Exponents and Prime Factorization. Common Fractions. Adding and Subtracting Fractions. Hindu-Arabic Numeration System. Different Numeration Systems. Summary and Review. 2. Sets of Numbers. Symbol Shock. Addition of Integers. Subtraction of Integers. Multiplication of Integers. Division of Integers. Rational and Irrational Numbers. Summary and Review. 3. Introduction to Algebra. Polynomials. Similar Terms. Simplification. Equations. Solving Equations. Problem Solving with Algebra. Inequalities. Summary and Review. 4. Percents and Problem Solving. Ratio and Proportion. Problem Solving with Proportions. Percent. Problem Solving with Percents. Summary and Review. 5. Introduction to Geometry. Euclidean Geometry. Polygons and Angles. Triangles. Similar Triangles. Summary and Review. 6. Measurement and Problem Solving. Precision, Accuracy, and Estimation. Perimeter. Area. Volume and Capacity. Miscellaneous Measurements. Converting Units. Summary and Review. Part II: APPLICATIONS: THE UTILITY OF MATHEMATICS. 7. Applications of Percent. Discount, Sale Price, Sales Tax. Simple Interest. Buying On Credit. Credit Card Interest. Compound Interest. Buying a Home. Summary and Review. 8. Sets and Logic. Introduction to Sets. Subsets. Operations with Sets. Venn Diagrams. Survey Problems Using Sets. Inductive and Deductive Reasoning. Summary and Review. 9. Probability. Introduction to Probability. Probability Models. Odds and Conditional Probability. Mathematical Expectation. Summary and Review. 10. Statistics. Frequency Distributions and Graphs. Measures of Central Tendency. Measures of Position. Measures of Dispersion. The Normal Curve and Sampling. Summary and Review. 11. Graphs. Ordered Pairs and the Cartesian Coordinate System. Functions. Lines. Systems and Inequalities. Graphing Curves. Summary and Review. APPENDICES. Glossary. Tables. Answers to Selected Problems. Index.

Table of Contents

PART I Foundations: The Power of Mathematics	1	(332)
Arithmetic, Calculators, and Problem Solving	3	(82)
Math Anxiety	3	(8)
Formulating the Problem	11	(8)
Fractions and Decimals	19	(10)
Rounding and Estimation	29	(5)
Exponents and Prime Factorization	34	(9)
Common Fractions	43	(10)
Adding and Subtracting Fractions	53	(10)
Hindu--Arabic Numeration System	63	(5)
Different Numeration Systems	68	(6)
Summary and Review	74	(11)
Sets of Numbers	85	(52)
Symbol Shock	85	(8)
Addition of Integers	93	(8)
Subtraction of Integers	101	(5)
Multiplication of Integers	106	(6)
Division of Integers	112	(4)
Rational and Irrational Numbers	116	(12)
Summary and Review	128	(9)
Introduction to Algebra	137	(50)
Polynomials	137	(7)
Similar Terms	144	(3)
Simplification	147	(5)
Equations	152	(7)
Solving Equations	159	(5)
Problem Solving with Algebra	164	(9)
Inequalities	173	(7)
Summary and Review	180	(7)
Percents and Problem Solving	187	(30)
Ratio and Proportion	187	(4)
Problem Solving with Proportions	191	(6)
Percent	197	(6)
Problem Solving with Percents	203	(8)
Summary and Review	211	(6)
Introduction to Geometry	217	(50)
Euclidean Geometry	217	(9)
Polygons and Angles	226	(11)
Triangles	237	(7)
Similar Triangles	244	(9)
Summary and Review	253	(14)
Measurement and Problem Solving	267	(66)
Precision, Accuracy, and Estimation	267	(7)
Perimeter	274	(6)
Area	280	(11)
Volume and Capacity	291	(10)
Miscellaneous Measurements	301	(7)
Converting Units	308	(11)
Summary and Review	319	(14)
PART II Applications: The Utility of Mathematics	333	(262)
Applications of Percent	335	(62)
Discount, Sale Price, and Sales Tax	335	(8)
Simple Interest	343	(8)
Buying On Credit	351	(9)
Credit Card Interest	360	(6)
Compound Interest	366	(10)
Buying a Home	376	(10)
Summary and Review	386	(11)
Sets and Logic	397	(56)
Introduction to Sets	397	(8)
Subsets	405	(5)
Operations with Sets	410	(6)
Venn Diagrams	416	(7)
Survey Problems Using Sets	423	(8)
Inductive and Deductive Reasoning	431	(9)
Summary and Review	440	(13)
Probability	453	(48)
Introduction to Probability	453	(12)
Probability Models	465	(10)
Odds and Conditional Probability	475	(7)
Mathematical Expectation	482	(11)
Summary and Review	493	(8)
Statistics	501	(50)
Frequency Distributions and Graphs	501	(13)
Measures of Central Tendency	514	(7)
Measures of Position	521	(5)
Measures of Dispersion	526	(8)
The Normal Curve and Sampling	534	(8)
Summary and Review	542	(9)
Graphs	551	(44)
Cartesian Coordinate System	551	(8)
Functions	559	(6)
Lines	565	(7)
Systems and Inequalities	572	(9)
Graphing Curves	581	(7)
Summary and Review	588	(7)
APPENDICES	595
A Glossary	595	(14)
B Tables	609	(4)
I. Trigonometric Ratios	609	(1)
II. Monthly Cost to Finance $1,000	610	(1)
III. Mortality Table	611	(2)
C Answers to Selected Problems	613
Index	1