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Basic Technical Mathematics / Edition 6

Basic Technical Mathematics / Edition 6

by Allyn J. Washington


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Product Details

ISBN-13: 9780201542387
Publisher: Addison-Wesley
Publication date: 12/28/1994
Edition description: Older Edition
Pages: 702
Product dimensions: 8.28(w) x 10.34(h) x 1.23(d)

About the Author

Allyn J. Washington received his Masters Degree from Brown University, Providence, Rhode Island. Allyn taught mathematics at Trinity College, Hartford, Connecticut, after graduating Phi Beta Kappa from Trinity. He was Professor of Mathematics at Dutchess Community College, Poughkeepsie, New York, where he served as the Mathematics Department Head as well as Dean of the College. Allyn is a founding member of the New York State Mathematics Association of Two Year Colleges and also a founding member of the American Mathematics Association of Two Year Colleges. He was awarded an Honorary Doctorate Degree by State University of New York. He is presently listed in Who's Who in America. The Allyn J. Washington Center for Science and Art Building is named in his honor at Dutchess Community College, Poughkeepsie, New York. Allyn has authored several textbooks in Technical Mathematics for over 50 years, including this edition of Basic Technical Mathematics.

Richard Evans received a Master’s Degree in mathematics from Binghamton University in Binghamton, New York. He is currently a professor of mathematics at Corning Community College, where he has taken an active role in the college’s governance system, including having chaired the mathematics department as well as the College Association. He is a long-standing member of the New York Mathematics Association of Two-Year Colleges and has attended and presented at many of these annual conferences. Rich has a strong background in applied mathematics, and has taken two sabbatical leaves involving real-world applications of math in business and industry. In his free time, Rich enjoys spending time with his family, playing guitar, and boating in the Finger Lakes.

Table of Contents

(Most chapters end with Chapter Equations and all chapters end with Review Exercises and Practice Test.)
1. Basic Algebraic Operations.
Fundamental Operations of Algebra.
Calculators and Approximate Numbers.
Scientific Notation.
Roots and Radicals.
Addition and Subtraction of Algebraic Expressions.
Multiplication of Algebraic Expressions.
Division of Algebraic Expressions.
Solving Equations.
Formulas and Literal Equations.
Applied Word Problems.

2. Geometry.
Lines and Angles.
Measurement of Irregular Areas.
Solid Geometric Figures.

3. Functions and Graphs.
Introduction to Functions.
More About Functions.
Rectangular Coordinates.
The Graph of a Function.
Graphs on the Graphing Calculator.

4. The Trigonometric Functions.
Defining the Trigonometric Functions.
Values of Trigonometric Functions.
The Right Triangle.
Applications of Right Triangles.

5. Systems of Linear Equations; Determinants.
Linear Equations.
Graphs of Linear Equations.
Solving Systems of Two Linear Equations in Two Unknowns Graphically.
Solving Systems of Two Linear Equations in Two Unknowns Algebraically.
Solving Systems of Two Linear Equations in Two Unknowns by Determinants.
Solving Systems of Three Linear Equations in Three Unknowns Algebraically.
Solving Systems of Three Linear Equations in Three Unknowns by Determinants.

6. Factoring and Fractions.
Special Products.
Factoring: Common Factor and Difference of Squares.
Factoring Trinomials.
The Sum and Difference of Cubes.
Multiplication and Division of Fractions.
Addition and Subtraction of Fractions.
Equations Involving Fractions.

7. Quadratic Equations.
Quadratic Equations; Solution by Factoring.
Completing the Square.
The Quadratic Formula.
The Graph of the Quadratic Function.

8. Trigonometric Functions of Any Angle.
Signs of the Trigonometric Functions.
Trigonometric Functions of Any Angle.
Applications of Radian Measure.

9. Vectors and Oblique Triangles.
Introduction to Vectors.
Components of Vectors.
Vector Addition by Components.
Applications of Vectors.
Oblique Triangles, the Law Of Sines.
The Law of Cosines.

10. Graphs of the Trigonometric Functions.
Graphs of y = a sin x and y = a cos x.
Graphs of y = a sin bx and y = a cos bx.
Graphs of y = a sin (bx + c) and y = a cos (bx + c).
Graphs of y = tan x, y = cot x, y= sec x, y = csc x.
Applications of Trigonometric Graphs.
Composite Trigonometric Curves.

11. Exponents and Radicals.
Simplifying Expressions with Integral Exponents.
Fractional Exponents.
Simplest Radical Forms.
Addition and Subtraction of Radicals.
Multiplication and Division of Radicals.

12. Complex Numbers.
Basic Definitions.
Basic Operations with Complex Numbers.
Graphical Representation of Complex Numbers.
Polar Form of a Complex Number.
Exponential Form of a Complex Number.
Products, Quotients, Powers, and Roots of Complex Numbers.
An Application to Alternating-Current (AC) Circuits.

13. Exponential and Logarithmic Functions.
The Exponential and Logarithmic Functions.
Graphs of y = b^x and y = logbx.
Properties of Logarithms.
Logarithms to the Base10.
Natural Logarithms.
Exponential and Logarithmic Equations.
Graphs on Logarithmic and Semilogarithmic Paper.

14. Additional Types of Equations and Systems of Equations.
Graphical Solution of Systems of Equations.
Algebraic Solution of Systems of Equations.
Equations in Quadratic Form.
Equations with Radicals.

Chapter 15. Equations of Higher Degree.
The Remainder Theorem and the Factor Theorem.
Synthetic Division.
The Roots of an Equation.
Rational and Irrational Roots.

16. Determinants and Matrices.
Determinants; Expansion by Minors.
Some Properties of Determinants.
Matrices: Definitions and Basic Operations.
Multiplication of Matrices.
Finding the Inverse of a Matrix.
Matrices and Linear Equations.

17. Inequalities.
Properties of Inequalities.
Solving Linear Inequalities.
Solving Nonlinear Inequalities.
Inequalities Involving Absolute Values.
Graphical Solution of Inequalities with Two Variables.

18. Variation.
Ratio and Proportion.

19. Sequences and the Binomial Theorem.
Arithmetic Sequences.
Geometric Sequences.
Infinite Geometric Series.
The Binomial Theorem.

20. Additional Topics in Trigonometry.
Fundamental Trigonometric Identities.
The Sum and Difference of Formulas.
Double-Angle Formulas.
Half-Angle Formulas.
Solving Trigonometric Equations.
The Inverse Trigonometric Functions.

21. Plane Analytic Geometry.
Basic Definitions.
The Straight Line.
The Circle.
The Parabola.
The Ellipse.
The Hyperbola.
Translation of Axes.
The Second-Degree Equation.
Polar Coordinates.
Curves in Polar Coordinates.

22. Introduction to Statistics.
Frequency Distributions.
Measures of Central Tendency.
Standard Deviation.
Normal Distributions.
Statistical Process Control.
Linear Regression.
Nonlinear Regression.

Supplementary Topics.
Gaussian Elimination.
Rotation of Axes.

Appendix A. Study Aids.
Suggestions for Study.
Solving Word Problems.

Appendix B. Units of Measurement: The Metric System.
Reductions and Conversions.

Appendix C. Scientific and Graphing Calculators.
The Graphing Calculator.
Graphing Calculator Programs.

Answers to Odd-Numbered Exercises.
Solutions to Practice Test Problems.
Index of Applications.
Index of Writing Exercises.

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