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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.
Dale Ewen (Parkland Community College)
, Dale Ewen (Parkland Community College)
CENGAGE Learning Custom Publishing
Country of Publication:
16 October 2017
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, 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.
Reviews for Elementary Technical Mathematics, 12th
I like the layout of the textbook. I think it is very user-friendly for students. The examples are clearly worked out, the exercises are representative of the examples, and I like the different applications given in the exercise problems. Essential topics are covered - It is simple and easy for the students to read and understand - It provides a very good review of the basic background concepts that the trades and technical students are mostly needed - Colors are used for illustrations and pictures which enhances its readability - Generous with practice exercises which include both basic and applications in different areas. As a technical mathematics instructor, I have enjoyed using [this text] for the past many years. I find the text is a nearly perfect fit to my own teaching style, especially for hands-on students pursuing associate degrees and certifications in the technical fields. I also find the text effectively supports student understanding and learning. In the text, each mathematical concept is succinctly and adequately presented in basic terms making it readily understandable by students in the technical fields. Then, several examples are provided with step-by-step solutions to illustrate the use of each mathematical concept. Finally, a large number of exercises are provided to assist in developing student understanding and proficiency. I believe that most technical students find this approach to learning to be very effective.