Elementary Technical Mathematics, 12th,
12th Edition

Dale Ewen

ISBN-13: 9781337630580
Copyright 2019 | Published
592 pages | List Price: USD $250.95

ELEMENTARY TECHNICAL MATHEMATICS helps students with minimal math background successfully prepare for technical, trade, allied health or tech prep programs. Author Dale Ewen focuses on fundamental concepts in basic arithmetic: the metric system and measurement, algebra, geometry, trigonometry and statistics. Thousands of examples, exercises and applications cover such fields as industrial and construction trades, electronics, agriculture/horticulture, allied health, CAD/drafting, HVAC, welding, auto/diesel service, aviation, natural resources, culinary arts and business/personal finance--to engage students and provide them with the math background they need to succeed in future courses and careers.


1. Basic Concepts.
Review of Operations with Whole Numbers. Review of Basic Operations. Order of Operations. Area and Volume. Formulas. Prime Factorization Divisibility. Review of Operations with Fractions. Introduction to Fractions. Addition and Subtraction of Fractions. Multiplication and Division of Fractions. The U.S. System of Weights and Measures. 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. Application Involving Percent: Business and Personal Finance.
2. Signed Numbers and Powers of 10.
Addition of Signed Numbers. Subtraction of Signed Numbers. Multiplication and Division of Signed Numbers. Signed Fractions. Powers of 10. Scientific Notation. Engineering Notation.
Chapters 1-2: Cumulative Review.
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.
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.
Chapters 1-4: Cumulative Review.
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.
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.
Chapters 1-6: Cumulative Review.
7. Ratio and Proportion.
Ratio. Proportion. Direct Variation. Inverse Variation.
8. Graphing Linear Equations.
Linear Equations with Two Variables. Graphing Linear Equations. The Slope of a Line. The Equation of a Line.
Chapters 1-8: Cumulative Review.
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.
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.
Chapters 1-10: Cumulative Review.
11. Quadratic Equations.
Solving Quadratic Equations by Factoring. The Quadratic Formula. Applications Involving Quadratic Equations. Graphs of Quadratic Equations. Imaginary Numbers.
12. Geometry.
Angles and Polygons. Quadrilaterals. Triangles. Similar Polygons. Circles. Radian Measure. Prisms. Cylinders. Pyramids and Cones. Spheres.
Chapters 1-12: Cumulative Review.
13. Right Triangle Trigonometry.
Trigonometric Ratios. Using Trigonometric Ratios to Find Angles. Using Trigonometric Ratios to Find Sides. Solving Right Triangles. Applications Involving Trigonometric Ratios.
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.
Chapters 1-14: Cumulative Review.
15. Basic Statistics.
Bar Graphs. Circle Graphs. Line Graphs. Other Graphs. Mean Measurement. Other Average Measurements and Percentiles. Range and Standard Deviation. Grouped Data. Standard Deviation for Grouped Data. Statistical Process Control. Other Graphs for Statistical Data. Normal Distribution. Probability. Independent Events.
16. Binary and Hexadecimal Numbers.
Introduction to 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.
Chapters 1-16: Cumulative Review.
Appendix A: Tables. Table 1: Formulas from Geometry. Table 2: Electrical Symbols.
Appendix B: Exponential Equations.
Appendix C: Simple Inequalities.
Appendix D: Instructor's Answer Key to All Exercises.

  • Dale Ewen

    Dale Ewen, Executive Vice President of Parkland College, Illinois, (1999-present), graduated from the University of Illinois with a B.S. in 1963 and an M. Ed. in 1966. He has been the recipient of several AMATYC (American Mathematical Association of Two-Year Colleges) awards and served as the organization's President (1989-91). Dale continues to write a number of technical mathematic textbooks.

  • Applications in the areas of industrial and construction trades, electronics and CAD/drafting were reviewed and updated with the assistance of experts working in these areas. All other areas were reviewed and updated with current information and data by the author.

  • Major effort was made to streamline the text by creating a more space efficient page design, reviewing art size and placement, moving Group Activities at the end of each chapter to the Instructor Companion Website, and removing outdated material.

  • After thorough review, this text provides better rationale for measurement accuracy and precision and calculations with measurements, compares single vs. multiple measurements, and introduces the concept of random and systematic errors.

  • Signed number drills exercises assist students in learning addition, subtraction and multiplication on signed numbers.

  • Cumulative reviews at the end of every even-numbered chapter enable students to review and prepare for comprehensive exams.

  • Many applications from a wide variety of technical areas are noted by marginal icons, including industrial and construction trades, electronics, agriculture/horticulture, allied health, CAD/drafting, HVAC, welding, auto/diesel service, aviation, natural resources, culinary arts and business/personal finance engage students and illustrate the relevance of what they're learning. Marginal icons call attention to the applications, making it easier for instructors and students to find and explore them.

  • Each chapter opener presents basic information about a technical career underscoring the connection of the math to real life.

  • The inside covers contain useful, frequently referenced information--such as metric system prefixes, English weights and measures, metric and English conversion and formulas from geometry.

  • Chapter 1 reviews basic concepts in such a way that students or the entire class can easily study only those sections they need to review.

  • The use of a scientific calculator has been integrated in an easy-to-use format throughout the text to reflect its nearly universal use in technical classes and on the job.

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