College Mathematics for Technology

College Mathematics for Technology

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For Technical Math courses that do not include calculus.This text addresses curriculum and pedagogy standards that are initiatives of the American Mathematical Association of two-year Colleges (AMATYC), the National Council of Teachers of Mathematics (NCTM), and the Mathematics Association of America (MAA). It uses simplified language that appeals to a variety of student learning styles, promotes active and independent learning, and strengthens critical thinking and writing skills. A "six-step approach" to problem solving, numerous tips, and clear, concise explanations throughout the text enable students to understand the concepts underlying mathematical processes.show more

Product details

  • Mixed media product | 1039 pages
  • 216 x 276 x 38mm | 2,399.49g
  • Pearson Education (US)
  • Pearson
  • United States
  • English
  • 5th edition
  • 0130861073
  • 9780130861078

Table of contents

1. Whole Numbers and Decimals. Whole Numbers, Decimal Numbers, and the Place-Value System. Adding Whole Numbers and Decimal Numbers. Subtracting Whole Numbers and Decimals. Multiplying Whole Numbers and Decimals. Dividing Whole Numbers and Decimals. Exponents, Roots, and Powers of 10. Order of Operations and Problem Solving.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. The Percentage Proportion. Solving Percentage Problems. Increases and Decreases. Business Applications.5. Direct Measurement. 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. Metric-U.S. Customary Comparisons. Time. 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 Equations with Fractions by Clearing the Denominators. Solving Equations with Decimals. Using Proportions to Solve Problems.11. Powers and Logarithms. Laws of Exponents. Basic Operations with Algebraic Expressions. Powers of 10 and Scientific Notation. Polynomials. Exponential Expressions, Equations, and Formulas. Logarithmic Expressions.12. Roots and Radicals. Roots and Notation Conventions. Simplifying Square-Root Expressions. Basic Operations with Square-Root 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 Higher-Degree Equations. Quadratic Equations. Solving Quadratic Equations Using the Quadratic Formula. Solving Pure Quadratic Equations: ax2 + c = 0. Solving Incomplete Quadratic Equations: ax2 + bx = 0. Solving Complete Quadratic Equations by Factoring. Selecting an Appropriate Method for Solving Quadratic Equations. Solving Higher-Degree 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 Absolute-Value Term. Absolute-Value 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. Point-Slope Form of an Equation. Slope-Intercept 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 Using 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. Right-Triangle Trigonometry. Sine, Cosine, and Tangent Functions. Applied Problems Using Right-Triangle 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. Glossary and Index.show more

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