Mathematics Its Power and Utility

by Smith, Karl J.

• ISBN13: 9780534364557
• ISBN10: 0534364551
• Format: Hardcover
• Copyright: 1999-11-03
• Publisher: Brooks Cole

Summary

An emphasis on problem-solving, step-by-step instruction, and well thought-out pedagogy in every chapter helps math-anxious students build confidence, develop critical-thinking skills, and communicate about mathematics.

Table of Contents

Part I Foundations: The Power of mathematics	1	(295)
Arithmetic, Calculators, and Problem Solving	2	(69)
Math Anxiety	2	(7)
Formulating the Problem	9	(10)
Fractions and Decimals	19	(10)
Rounding and Estimation	29	(6)
Exponents and Prime Factorization	35	(9)
Common Fractions	44	(10)
Adding and Subtracting Fractions	54	(10)
Summary and Review	64	(7)
Sets of Numbers	71	(50)
Symbol Shock	71	(9)
Addition of Integers	80	(8)
Subtraction of Integers	88	(5)
Multiplication of Integers	93	(6)
Division of Integers	99	(4)
Rational and Irrational Numbers	103	(12)
Summary and Review	115	(6)
Introduction to Algebra	121	(47)
Polynomials	121	(6)
Similar Terms	127	(3)
Simplification	130	(4)
Equations	134	(8)
Solving Equations	142	(4)
Problem Solving with Algebra	146	(10)
Inequalities	156	(7)
Summary and Review	163	(5)
Percents and Problem Solving	168	(29)
Ratio and Proportion	168	(5)
Problem Solving with Proportions	173	(5)
Percent	178	(7)
Problem Solving with Percents	185	(8)
Summary and Review	193	(4)
Introduction to Geometry	197	(35)
Euclidean Geometry	197	(7)
Polygons and Angles	204	(4)
Triangles	208	(6)
Similar triangles	214	(8)
Summary and Review	222	(10)
Measurement and Problem Solving	232	(63)
Precision, Accuracy, and Estimation	232	(7)
Perimeter	239	(7)
Area	246	(12)
Volume and Capacity	258	(10)
Miscellaneous Measurements	268	(8)
Converting Units	276	(10)
Summary and Review	286	(9)
Part II Applications: The Utility of Mathematics	295	(310)
Applications of Percent	297	(61)
Discount, Sale Price, and Sales Tax	297	(8)
Simple Interest	305	(8)
Buying on Credit	313	(9)
Credit Card Interest	322	(6)
Compound Interest	328	(11)
Buying a Home	339	(10)
Summary and Review	349	(9)
Sets and Logic	358	(45)
Introduction to Sets	358	(8)
Subsets	366	(3)
Operations with Sets	369	(5)
Venn Diagrams	374	(6)
Survey Problems Using Sets	380	(5)
Inductive and Deductive Reasoning	385	(11)
Summary and Review	396	(7)
Probability	403	(41)
Introduction to Probability	403	(13)
Probability Models	416	(6)
Odds and Conditional Probability	422	(7)
mathematical Expectation	429	(11)
Summary and Review	440	(4)
Statistics	444	(50)
Frequency Distributions and Graphs	444	(15)
Measures of central Tendency	459	(7)
Measures of Position	466	(4)
Measures of Dispersion	470	(8)
The Normal Curve	478	(5)
Sampling	483	(4)
Summary and Review	487	(7)
Graphs	494	(111)
Ordered Pairs and the Cartesian Coordinate System	494	(7)
Functions	501	(5)
Lines	506	(6)
Systems and Inequalities	512	(10)
Graphing Curves	522	(10)
Summary and Review	532	(8)
APPENDICES
A. Hindu--Arabic Numeration System	540	(5)
B. Different Numeration Systems	545	(7)
C. Glossary	552	(17)
D. Tables	569	(4)
I. Trigonometric Ratios	569	(1)
II. Monthly Cost to Finance $1,100	570	(1)
III. Mortality Table	571	(2)
E. Answers to Selected Problems	573	(32)
Index	605