Basic Technical Mathematics with Calculus

The late Allyn J. Washington received his Master's Degree from Brown University. 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 was a founding member of the New York State Mathematics Association of Two-Year Colleges and 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 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. Allyn authored several textbooks in Technical Mathematics, including Basic Technical Mathematics.

• Each chapter contains:  Equations, Quick Chapter Review, Review Exercises, Practice Test  1.  Basic Algebraic Operations1.1 Numbers1.2 Fundamental Operations of Algebra1.3 Calculators and Approximate Numbers1.4 Exponents1.5 Scientific Notation1.6 Roots and Radicals1.7 Addition and Subtraction of Algebraic Expressions1.8 Multiplication of Algebraic Expressions1.9 Division of Algebraic Expressions1.10 Solving Equations1.11 Formulas and Literal Equations1.12 Applied Word Problems2.   Geometry2.1 Lines and Angles2.2 Triangles2.3 Quadrilaterals2.4 Circles2.5 Measurement of Irregular Areas2.6 Solid Geometric Figures3.  Functions and Graphs3.1 Introduction to Functions3.2 More about Functions3.3 Rectangular Coordinates3.4 The Graph of a Function3.5 Graphs on the Graphing Calculator3.6 Graphs of Functions Defined by Tables of Data4.  The Trigonometric Functions4.1 Angles4.2 Defining the Trigonometric Functions4.3 Values of the Trigonometric Functions4.4 The Right Triangle4.5 Applications of Right Triangles5.  Systems of Linear Equations; Determinants5.1 Linear Equations5.2 Graphs of Linear Functions5.3 Solving Systems of Two Linear Equations in Two Unknowns Graphically5.4 Solving Systems of Two Linear Equations in Two Unknowns Algebraically5.5 Solving Systems of Two Linear Equations in Two Unknowns by Determinants5.6 Solving Systems of Three Linear Equations in Three Unknowns Algebraically5.7 Solving Systems of Three Linear Equations in Three Unknowns by Determinants6.  Factoring and Fractions6.1 Special Products6.2 Factoring: Common Factor and Difference of Squares6.3 Factoring Trinomials6.4 The Sum and Difference of Cubes6.5 Equivalent Fractions6.6 Multiplication and Division of Fractions6.7 Addition and Subtraction of Fractions6.8 Equations Involving Fractions7.  Quadratic Equations7.1 Quadratic Equations; Solution by Factoring7.2 Completing the Square7.3 The Quadratic Formula7.4 The Graph of the Quadratic Function8.  Trigonometric Functions of Any Angle8.1 Signs of the Trigonometric Functions8.2 Trigonometric Functions of Any Angle8.3 Radians8.4 Applications of Radian Measure9.  Vectors and Oblique Triangles9.1 Introduction to Vectors9.2 Components of Vectors9.3 Vector Addition by Components9.4 Applications of Vectors9.5 Oblique Triangles, the Law of Sines9.6 The Law of Cosines10.  Graphs of the Trigonometric Functions10.1 Graphs of y = a  sin x and y = a cos x10.2 Graphs of y = a sin bx and y = a cos bx10.3 Graphs of y = a sin (bx + c ) and y = a cos (bx + c )10.4 Graphs of y = tan x,y = cot x, y = sec x, y = csc x10.5 Applications of the Trigonometric Graphs10.6 Composite Trignometric Curves11.  Exponents and Radicals11.1 Simplifying Expressions with Integral Exponents11.2 Fractional Exponents11.3 Simplest Radical Form11.3 Addition and Subtraction of Radicals11.5 Multiplication and Division of Radicals12.  Complex Numbers12.1 Basic Definitions12.2 Basic Operations with Complex Numbers12.3 Graphical Representation of Complex Numbers12.4 Polar Form of a Complex Number12.5 Exponential Form of a Complex Number