Elementary Technical Mathematics

1. BASIC CONCEPTS. Unit1A: Review of Operations with Whole Numbers. Review of Basic Operations. Order of Operations. Area and Volume. Formulas. Prime Factorization. Unit 1A: Review. Unit 1B: Review of Operations with Fractions. Introduction to Fractions. Addition and Subtraction of Fractions. Multiplication and Division of Fractions. The English System of Weights and Measures. Unit 1B Review. Unit 1C: Review of Operations with Decimal Fractions and Percent. Addition and Subtraction of Decimal Fractions. Rounding Numbers. Multiplication and Division of Decimal Fractions. Percent. Part, Base, and Rate. Powers and Roots. Unit 1C: Review. Chapter 1 Review. Chapter 1 Test. 2. SIGNED NUMBERS AND POWERS OF TEN. Addition of Signed Numbers. Subtraction of Signed Numbers. Multiplication and Division of Signed Numbers. Signed Fractions. Powers of 10. Scientific Notation. Engineering Notation. Chapter 2 Review. Chapter 2 Test. Cumulative Review Chapters 1-2. 3. THE METRIC SYSTEM. Introduction to the Metric System. Length. Mass and Weight. Volume and Area. Time, Current, and Other Units. Temperature. Metric and U.S. Conversion. Chapter 3 Review. Chapter 3 Test. 4. MEASUREMENT. Approximate Numbers and Accuracy. Precision and Greatest Possible Error. The Vernier Caliper. The Micrometer Caliper. Addition and Subtraction of Measurements. Multiplication and Division of Measurements. Relative Error and Percent of Error. Color Code of Electrical Resistors. Reading Scales. Chapter 4 Review. Chapter 4 Test. Cumulative Review Chapters 1-4. 5. POLYNOMIALS: AN INTRODUCTION TO ALGEBRA. Fundamental Operations. Simplifying Algebraic Expressions. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Division by a Monomial. Division by a Polynomial. Chapter 5 Review. Chapter 5 Test. 6. EQUATIONS AND FORMULAS. Equations. Equations with Variables in Both Members. Equations with Parentheses. Equations with Fractions. Translating Words into Algebraic Symbols. Applications Involving Equations. Formulas. Substituting Data into Formulas. Reciprocal Formulas Using a Calculator. Chapter 6 Review. Chapter 6 Test. Cumulative Review Chapters 1-6. 7. RATIO AND PROPORTION. Ratio. Proportion. Direct Variation. Inverse Variation. Chapter 7 Review. Chapter 7 Test 8. GRAPHING LINEAR EQUATIONS Linear Equations with Two Variables. Graphing Linear Equations. The Slope of a Line. The Equation of a Line. Chapter 8 Review. Chapter 8 Test. Cumulative Review Chapters 1-8. 9. SYSTEMS OF LINEAR EQUATIONS. Solving Pairs of Linear Equations by Graphing. Solving Pairs of Linear Equations by Addition. Solving Pairs of Linear Equations by Substitution. Applications Involving Pairs of Linear Equations. Chapter 9 Review. Chapter 9 Test. 10. FACTORING ALGEBRAIC EXPRESSIONS. Finding Monomial Factors. Finding the Product of Two Binomials Mentally. Finding Binomial Factors. Special Products. Finding Factors of Special Products. Factoring General Trinomials. Chapter 10 Review. Chapter 10 Test. Cumulative Review Chapters 1-10. 11. QUADRATIC EQUATIONS. Solving Quadratic Equations by Factoring. The Quadratic Formula. Applications Involving Quadratic Equations. Graphs of Quadratic Equations. Imaginary Numbers. Chapter 11 Review. Chapter 11 Test. 12. GEOMETRY. Angles and Polygons. Quadrilaterals. Triangles. Similar Polygons. Circles. Radian Measure. Prisms. Cylinders. Pyramids and Cones. Spheres. Chapter 12 Review. Chapter 12 Test. Cumulative Review Chapters 1-12. 13. RIGHT TRIANGLE TRIGONOMETRY. Trigonometric Ratios. Using Trigonometric Ratios to Find Angles. Using Trigonometric Rations to Find Sides. Solving Right Triangles. Applications Involving Trigonometric. Ratios. Chapter 13 Review. Chapter 13 Test. 14. TRIGONOMETRY WITH ANY ANGLE. Sine and Cosine Graphs. Period and Phase Shift. Solving Oblique Triangles: Law of Sines. Law of Sines: The Ambiguous Case. Solving Oblique Triangles: Law of Cosines. Chapter 14 Review. Chapter 14 Test. Cumulative Review Chapters 1-14. 15. BASIC STATISTICS. Bar Graphs. Circle Graphs. Line Graphs. Other Graphs. Mean Measurement. Other Average Measurements and Percentiles. Grouped Data. Range and Standard Deviation. Statistical Process Control. Other Graphs for Statistical Data. Normal Distribution. Probability. Independent Events. Chapter 15 Review. Chapter 15 Test. 16. BINARY AND HEXADECIMAL NUMBERS. Binary Numbers. Addition of Binary Numbers. Subtraction of Binary Numbers. Multiplication of Binary Numbers. Conversion from Decimal to Binary System. Conversion from Binary to Decimal System. Hexadecimal System. Addition and Subtraction of Hexadecimal Numbers. Binary to Hexadecimal Conversion. Hexadecimal Code for Colors. Chapter 16 Review. Chapter 16 Test. Cumulative Review Chapters 1-16. Appendix A: Tables. Table 1: Formulas from Geometry. Table 2: Electrical Symbols. Appendix B: Answers to Odd-Numbered Exercises, Chapter Reviews, and Cumulative Reviews. Index.