
College Mathematics for Technology, 4/e
Cheryl Cleaves, the State Technical Institute of Memphis Published August, 1997 by Prentice Hall Career & Technology
 
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NEW —“Symbolic Representation”is included just prior to solving linear equations to provide a thorough review of signed numbers and an introduction to variable expressions and translating from words to symbols. NEW—“Good Decisions Through Teamwork” Every chapter opens with a team project that relates to the content of the chapter. Sufficient details are given to assist the teams in getting organized and to provide direction, however, the projects also have sufficient flexibility for the project to be expanded or to encourage creativity. NEW—“Mathematics in the Workplace” Several articles that can generate class discussion or projects included throughout the text. These articles represent a wide variety of topics. NEW—“Career Applications” Career applications for a wide variety of careers are included throughout the text. They are located in the endofchapter materials in practically every chapter. Applications include explanations, examples, exercises, and answers. Careers included are electronics, civil engineering, chemical engineering, law enforcement, nursing, horticulture, teaching, and many more. NEW—Expanded "Tips and Traps," The Tips and Traps feature has been greatly expanded with each instance identified with a title for easier reference.
Whole Numbers, Decimals, and the PlaceValue System. Adding Whole Numbers and Decimals. Subtracting Whole Numbers and Decimals. Multiplying Whole Numbers and Decimals. Dividing Whole Numbers and Decimals. Exponents, Roots, and Powers of 10. Order of Operations. 2. Integers. Natural Numbers, Whole Numbers, and Integers. Addition with Integers. Subtracting Integers. Multiplying Integers. Dividing Integers. Order of Operations. 3. Fractions and Percents. Fraction Terminology. Multiples, Divisibility, and Factor Pairs. Prime and Composite Numbers. Least Common Multiple and Greatest Common Factor. Equivalent Fractions and Decimals. Improper Fractions and Mixed Numbers. Finding Common Denominators and Comparing Fractions and Decimals. Adding Fractions and Mixed Numbers. Subtracting Fractions and Mixed Numbers. Multiplying Fractions and Mixed Numbers. Dividing Fractions and Mixed Numbers. Signed Fractions and Decimals. Calculators with Fraction Key. Finding Number and Percent Equivalents. 4. Problem Solving with Percents. Percentage Proportion. Solving Percentage Problems. Increases and Decreases. Business Applications. 5. Direct Measure. The U.S. Customary System of Measurement. Adding and Subtracting U.S. Customary Measures. Multiplying and Dividing U.S. Customary Measures. Introduction to the Metric System. MetricU.S. Customary Comparisons. Reading Instruments Used to Measure Length. 6. Area and Perimeter. Squares, Rectangles, and Parallelograms. Area and Circumference of a Circle. 7. Interpreting and Analyzing Data. Reading Circle, Bar, and Line Graphs. Frequency Distributions, Histograms, and Frequency Polygons. Finding Statistical Measures. Counting Techniques and Simple Probabilities. 8. Symbolic Representation. Rational Numbers. Real Numbers. Variable Notation. Function Notation. 9. Linear Equations. Solving Basic Equations. Isolating the Variable in Solving Equations. Applying the Distributive Property in Solving Equations. Strategies for Problem Solving. 10. Equations with Fractions and Decimals. Solving Fractional Equations by Clearing the Denominators. Solving Decimal Equations. Using Proportions to Solve Problems. 11. Powers and Logarithms. Laws of Exponents. Basic Operations with Algebraic Expressions Containing Powers. Powers of 10 and Scientific Notation. Polynomials. Exponential Expressions, Equations, and Formulas. Logarithmic Expressions. 12. Roots and Radicals. Roots and Notation Conventions. Simplifying SquareRoot Expressions. Basic Operations with SquareRoot Radicals. Complex and Imaginary Numbers. Equations with Squares and Square Roots. 13. Formulas and Applications. Formula Evaluation. Formula Rearrangement. Temperature Formulas. Geometric Formulas. Miscellaneous Technical Formulas. 14. Products and Factors. The Distributive Property and Common Factors. Multiplying Polynomials. Factoring Special Products. Factoring General Trinomials. 15. Solving Quadratic and HigherDegree Equations. Quadratic Equations. Solving Quadratic Equations Using the Quadratic Formula. Solving Pure Quadratic Equations: ax^2 + c = 0. Solving Incomplete Quadratic Equations: ax^2 + bx = 0. Solving Complete Quadratic Equations by Factoring. Selecting an Appropriate Method for Solving Quadratic Equations. Solving HigherDegree Equations by Factoring. 16. Rational Expressions. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Solving Equations with Rational Expressions. 17. Inequalities and Absolute Values. Inequalities and Sets. Solving Simple Linear Inequalities. Compound Inequalities. Solving Quadratic and Rational Inequalities. Equations Containing One AbsoluteValue Term. AbsoluteValue Inequalities. 18. Graphical Representation. Graphical Representation of Equations. Linear Equations in Two Variables and Function Notation. Graphing Linear Equations with Two Variables. Graphing Linear Inequalities with Two Variables. Graphing Quadratic Equations and Inequalities. 19. Slope and Distance. Slope. PointSlope Form of an Equation. SlopeIntercept Form of an Equation. Parallel Lines. Perpendicular Lines. Distance and Midpoints. 20. Systems of Equations and Inequalities. Solving Systems of Equations and Inequalities Graphically. Solving Systems of Equations Using the Addition Method. Solving Systems of Equations by the Substitution Method. Problem Solving Using Systems of Equations. 21. Selected Concepts of Geometry. Basic Terminology and Notation. Angle Calculations. Triangles. Polygons. Sectors and Segments of a Circle. Inscribed and Circumscribed Regular Polygons and Circles. 22. Introduction to Trigonometry. Radians and Degrees. Trigonometric Functions. Using a Calculator to Find Trigonometric Values. 23. RightTriangle Trigonometry. Sine, Cosine, and Tangent Functions. Applied Problems Using RightTriangle Trigonometry. 24. Oblique Triangles. Vectors. Trigonometric Functions for Any Angle. Law of Sines. Law of Cosines. Area of Triangles. Selected Answers to Student Exercise Material. Index.
