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Basic Technical Mathematics

Basic Technical Mathematics - 7th edition

ISBN13: 978-0201730753

Cover of Basic Technical Mathematics 7TH 00 (ISBN 978-0201730753)
ISBN13: 978-0201730753
ISBN10: 0201730758
Cover type: Hardback
Edition/Copyright: 7TH 00
Publisher: Addison-Wesley Longman, Inc.
Published: 2000
International: No

List price: $123.25

Basic Technical Mathematics - 7TH 00 edition

ISBN13: 978-0201730753

Allyn J. Washington

ISBN13: 978-0201730753
ISBN10: 0201730758
Cover type: Hardback
Edition/Copyright: 7TH 00
Publisher: Addison-Wesley Longman, Inc.

Published: 2000
International: No

Technical mathematics is a course pioneered by Allyn Washington, and the seventh edition of this text preserves the author's highly regarded approach to technical math while improving on the integration of technology in the text. The book is intended for a two or three-semester course and is taught primarily to students who plan to pursue technical fields. The primary strength of the text is the heavy integration of technical applications, which aids the student pursuing a technical career by showing the importance of a strong foundation in algebraic and trigonometric math.

Allyn Washington defined the technical math market when he wrote the first edition of Basic Technical Mathematics over thirty years ago. His continued vision is to provide highly accurate mathematical concepts based on technical applications. The course is designed to allow the student to be simultaneously enrolled in allied technical areas, such as physics or electronics. The material in the text can be easily rearranged to fit the needs of both instructor and students. Above all, the author's vision of this book is to continue to enlighten today's students that an understanding of elementary math is critical in many aspects of life.

Features :

  • NEW! Graphing Calculator. The graphing calculator is used throughout the text in examples and has been more heavily integrated and emphasized than the previous edition, although it is still not required for the course. This integration includes over 140 new graphing calculator screens pictured in the text. Pg. 98
  • NEW! Design. A new, more open design is an important improvement and feature of the seventh edition. The more spacious layout allows for additional graphing calculator displays in the margin, which gives students a visual representation of the mathematics. Pg. 110
  • NEW! Applications. Over 200 new technical applications have been added to the seventh edition. A hallmark strength of the Washington text, the applications challenge students to apply the mathematics to technically-based problems, reinforcing the relevancy of mathematics in the technical fields. Pg. 256
  • NEW! Writing Exercises. The number of writing exercises has been increased by more than 40%. A new graphical icon highlights writing exercises in the text. These exercises reinforce student understanding as they require students to verbalize their answers using words rather than numbers.
  • NEW! Word Problems and Solutions. Throughout the text, approximately 70 examples present complete solutions to word problems. These examples are clearly indicated in the margin by the phrase "solving a word problem." In addition, the text includes over 700 word problems within exercise sets. Pg. 257
  • NEW! Exercises and Figures. The seventh edition includes over 1,000 new exercises, many of which illustrate technical applications. Over 140 new figures have been added to help students visualize applications and concepts. Pg. 9
  • Flexibility of Material Coverage. An important and critical feature to the Washington approach to technical math is the flexibility of the Table of Contents. The chapters of the text are easily adapted to the specific needs of the students as well as the instructor. Certain sections or chapters may be omitted without loss of continuity, and chapters may be reordered for a customized syllabus. Notes and suggestions on how to reorder the organization of the material are contained in the Answer Book.

Author Bio

Washington, Allyn J. : Dutchess Community College

Table of Contents

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.
Equivalent Fractions.
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.