Mathematics: Its Power and Utility
- AUTHOR: Karl Smith
- ISBN-13: 9781111577421
- Grade(s): 9 | 10 | 11 | 12
- 656 Pages Hardcover
- 10th Edition | Previous Editions: 2009, 2006, 2006
- ©2013 Published
- Prices are valid only in the respective region
MATHEMATICS: ITS POWER AND UTILITY, Tenth Edition, combines a unique and practical focus on real-world problem solving allowing even the least-interested or worst-prepared student to appreciate the beauty and value of math while mastering basic concepts and skills they will apply to their daily lives. The first half of the book explores the POWER and historic impact of mathematics and helps students harness that POWER by developing an effective approach to problem solving. The second half builds upon this foundation by exploring the UTLITY and application of math concepts to a wide variety of real-life situations: money management; handling of credit cards; inflation; purchase of a car or home; the effective use of probability, statistics, and surveys; and many other topics of life interest. Unlike many mathematics texts, MATHEMATICS: ITS POWER AND UTILITY, Tenth Edition, assumes a basic working knowledge of arithmetic, making it effective even for students with no exposure to algebra. Completely self-contained chapters make it easy to teach to a customized syllabus or support the precise pace and emphasis that students require.
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 System. 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. Angles and Polynomials. 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, and 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. Set Relationship. Operations with Sets. Venn Diagrams. Survey Problems Using Sets. Inductive and Deductive Reasoning. Connectives and Truth Tables. Summary and Review.
Introduction to Probability. Probability Models. Odds and Conditional Probability. Mathematical Expectation. Summary and Review.
Frequency Distribution and Graphs. Measures of Central Tendency. Measures of Position. Measures of Dispersion. The Normal Curve and Sampling. Summary and Review.
Cartesian Coordinate System. Functions. Lines. Systems and Inequalities. Graphing Curves. Summary and Review.