Introduction to Technical Mathematics

by Washington, Allyn J.; Triola, Mario F.; Reda, Ellena E.

• ISBN13: 9780321374172
• ISBN10: 0321374177
• Edition: 5th
• Format: Hardcover
• Copyright: 2007-02-05
• Publisher: Pearson

Summary

Introduction to Technical Mathematics, Fifth Edition, has been thoroughly revised and modernized with up-to-date applications, an expanded art program, and new pedagogy to help today's readers relate to the mathematics in today's world. The new edition continues to provide a thorough review of arithmetic and a solid foundation in algebra, geometry, and trigonometry. In addition to thousands of exercises, the examples and problems in this text include a wealth of applications from various technological fields: electronics, mechanics, civil engineering, forestry, architecture, industrial engineering and design, physics, chemistry, and computer science. To enhance your course, the fifth edition is now available with Addison-Wesley'sMathXLreg; andMyMathLabtrade; technologies. Signed Numbers; Units of Measurement and Approximate Numbers; Introduction to Algebra; Simple Equations and Inequalities; Graphs; Introduction to Geometry; Simultaneous Linear Equations; Factoring; Algebraic Fractions; Exponents, Roots and Radicals; Quadratic Equations; Exponential and Logarithmic Functions; Right Triangle Trigonometry; Oblique Triangles and Vectors; Graphs of Trigonometric Functions; Complex Numbers; Introduction to Data Analysis.For all readers interested in Technical Mathematics.

Author Biography

Allyn Washington was born and educated in Connecticut, where he also began teaching at Trinity College, his alma mater. He taught at Boise Junior College (now Boise State University) before joining the newly forming Dutchess Community College, in Poughkeepsie, New York, where he began writing Basic Technical Mathematics.

 

At the time, technical mathematics did not have a text that gave students the math they needed to successfully achieve their goals in the technical mathematics program. Al decided to write a book that specifically aligned itself with the technical programs these students were taking. He wanted his text to be flexible, allowing instructors to teach in ways that would most benefit their students. Through his vision and determination, Allyn Washington created the Technical Mathematics series.

 

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Mario F. Triola is a Professor Emeritus of Mathematics at Dutchess Community College, where he has taught statistics for over 30 years. Marty is the author of Elementary Statistics, 10th Edition, Elementary Statistics Using Excel, Elementary Statistics Using the TI-83 84 Plus Calculator, and he is a co-author of Biostatistics for the Biological and Health Sciences, Statistical Reasoning for Everyday Life, and Business Statistics. He has written several manuals and workbooks for technology supporting statistics education. Outside of the classroom, Marty has been a speaker at many conferences and colleges. His consulting work includes the design of casino slot machines and fishing rods, and he has worked with attorneys in determining probabilities in paternity lawsuits, identifying salary inequities based on gender, analyzing disputed election results, analyzing medical data, and analyzing medical school surveys. Marty has testified as an expert witness in New York State Supreme Court. The Text and Academic Authors Association has awarded Mario F. Triola a "Texty" for Excellence for his work on Elementary Statistics.

 

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Ellena Reda is the Department Head of the Mathematics, Physical and Computer Sciences Department at Dutchess Community College in Poughkeepsie, NY. She began her career at DCC in 1988 as an adjunct instructor. Ellena received her Bachelor’s degree in Mathematics at Marist College, her Master’s degree in Mathematics/Education from the State University of New York at New Paltz, and an advanced graduate certificate in Educational Computing from the University at Stony Brook. She is the program coordinator at DCC for the Verizon Next Step Program, has served as the program’s mathematics curriculum leader, and has taught a variety of courses in this technical program.

 

Ellena is a member of the American Mathematical Association of Two Year Colleges. She was a writing team member of the NSF - AMATYC Math Works Project. She was the principal investigator for a National Science Foundation Computer Science, Engineering and Mathematics Scholarship (CSEMS) Grant and a team leader/teacher leader for the State Professional Development Collaborative, an NSF/ATE Grant. In spring 2005 she was named a Regional Teacher of the Year by the New York State Technology Education Association. Ellena has co-authored the Excel Manual that accompanies Elementary Statistics, 8th, 9th and 10th editions written by Mario Triola.

 

In her spare time Ellena enjoys golfing, running, and reading. In 2003 she ran her first marathon to raise money for the American Stroke Association. Since then she has run 2 marathons and 3 half-marathons. She has three grown children and lives locally with her husband.

Table of Contents

Signed Numbers

Signed Numbers

Addition and Subtraction of Signed Numbers

Multiplication and Division of Signed Numbers

Powers and Roots

Order of Operation

Scientific Notation

Problem-Solving Strategies

Summary

Review Exercises

Test

Units of Measurement and Approximate Numbers

Working with Units of Measure

Units of Measurement: The Metric System

Reduction and Conversion of Units

Approximate Numbers and Significant Digits

Summary

Review

Exercises

Test

Introduction to Algebra

Working with Formulas

Basic Algebraic Expressions

Addition and Subtraction of Algebraic Expressions

Multiplication of Algebraic Expressions

Division of Algebraic Expressions

Summary

Review

Exercises

Test

Simple Equations and Inequalities

Solving a Simple Equation

Simple Formulas and Literal Equations

Simple Inequalities

Problem-Solving Strategies and Word Problems

Ratio, Proportion, and Variation

Summary

Review

Exercises

Test

Graphs

Functions and Function Notation

The Rectangular Coordinate System

The Graph of a Function

Graphs of a Linear Function

Graphs of Other Functions

Graphical Solutions

Graphing Inequalities

Summary

Review

Exercises

Test

Introduction to Geometry

Basic Geometric Figures

Perimeter

Area

Volume

Summary

Review

Exercises

Test

Simultaneous Linear Equations

Graphical Solution of Two Simultaneous Equations

Substitution Method

Addition-Subtraction Method for Solving Simultaneous Equations

Determinants in Two Equations

Problem Solving Using Systems of Linear Equations

Summary

Review

Exercises

Test

Factoring

The Distributive Property and Common Factors

Factoring Trinomials

Factoring General Trinomials

The Difference Betwe

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