College Mathematics for Technology

9780131436930

0131436937

1. Whole Numbers and Decimals. Whole Numbers, Decimals, 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. Adding Integers. Subtracting Integers. Multiplying Integers. Dividing Integers. Order of Operations. 3. Fractions. 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. Adding Fractions and Mixed Numbers. Subtracting Fractions and Mixed Numbers. Multiplying Fractions and Mixed Numbers. Dividing Fractions and Mixed Numbers. Signed Fractions and Decimals. 4. Percents. Finding Number and Percent Equivalents. Solving Percentage Problems. Increases and Decreases. 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. Temperature Formulas. 6. Area, Perimeter, and Volume. Squares, Rectangles, and Parallelograms. Perimeter and Area of Circles, Cylinders, and Composite Figures. Volume of Prisms and Cylinders. 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. Linear Equations. Rational Numbers. Symbolic Representation. Solving Linear Equations. Applying the Distributive Property in Solving Equations. Numerical Procedures for Solving Equations. Function Notation. 9. Linear Equations with Fractions and Decimals. Solving Linear Equations with Fractions by Clearing the Denominators. Solving Decimal Equations. Using Proportions to Solve Problems. 10. Powers and Polynomials. Laws of Exponents. Polynomials. Basic Operations with Polynomials. Powers of 10 and Scientific Notation. 11. Roots and Radicals. Roots and Notation Conventions. Simplifying Irrational Expressions. Basic Operations with Square-Root Radicals. Complex and Imaginary Numbers. Equations with Squares and Square Roots. 12. Formulas and Applications. Formula Evaluation. Formula Rearrangement. Geometric Formulas. 13. Products and Factors. The Distributive Property and Common Factors. Multiplying and Dividing Polynomials. Factoring Special Products. Factoring General Trinomials. 14. Rational Expressions and Equations. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Solving Equations with Rational Expressions. 15. Solving Quadratic and Higher-Degree Equations. Solving Quadratic Equations by the Square-Root Method. Solving Quadratic Equations by Factoring. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. Solving Higher-Degree Equations by Factoring. 16. Exponential and Logarithmic Equations. Exponential Expressions, Equations, and Formulas. Logarithmic 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. Graphing Functions. Graphical Representation of Equations and Functions. Graphing Linear Equations with Two Variables Using Alternative Methods. Graphing Linear Inequalities with Two Variables. Graphing Quadratic Equations and Inequalities. Graphing Other Non-Linear Equations. 19. Slope and Distance. Slope. Point-Slope Form of an Equation. Slope-Intercept Form of an Equation. Parallel Lines and Perpendicular Lines. Distance and Midpoints. 20. Systems of Linear Equations and Inequalities. Solving Systems of Linear Equations and Inequalities Graphically. Solving Systems of Linear Equations Using the Addition Method. Solving Systems of Linear Equations Using the Substitution Method. Problem Solving Using Systems of Linear 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. Appendix A-1: Symbols. Appendix A-2: Roman Numerals. Appendix A-3: Greek Alphabet. Appendix A-4: Metric Prefixes. Appendix A-5: Business Formulas. Appendix A-6: Using Technology. Selected Answers to Student Exercise Material. Glossary. Index.