Basic Technical Mathematics / Edition 9by Allyn J. Washington
Pub. Date: 07/29/2008
This book is intended primarily for students in technical and pre-engineering technology programs or other programs for which a coverage of basic mathematics is required.
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.
Roots and Radicals.
Addition and Subtraction of Algebraic Expressions.
Multiplication of Algebraic Expressions.
Division of Algebraic Expressions.
Formulas and Literal Equations.
Applied Word Problems.
Lines and Angles.
Measurement of Irregular Areas.
Solid Geometric Figures.
3. Functions and Graphs.
Introduction to Functions.
More About Functions.
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.
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.
Factoring: Common Factor and Difference of Squares.
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.
Simplest Radical Forms.
Addition and Subtraction of Radicals.
Multiplication and Division of Radicals.
12. Complex Numbers.
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 = log
Properties of Logarithms.
Logarithms to the Base10.
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.
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.
Properties of Inequalities.
Solving Linear Inequalities.
Solving Nonlinear Inequalities.
Inequalities Involving Absolute Values.
Graphical Solution of Inequalities with Two Variables.
Ratio and Proportion.
19. Sequences and the Binomial Theorem.
Infinite Geometric Series.
The Binomial Theorem.
20. Additional Topics in Trigonometry.
Fundamental Trigonometric Identities.
The Sum and Difference of Formulas.
Solving Trigonometric Equations.
The Inverse Trigonometric Functions.
21. Plane Analytic Geometry.
The Straight Line.
Translation of Axes.
The Second-Degree Equation.
Curves in Polar Coordinates.
22. Introduction to Statistics.
Measures of Central Tendency.
Statistical Process Control.
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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