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Basic Technical Mathematics With Calculus,9780201356656
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Basic Technical Mathematics With Calculus



Pub. Date:
Addison Wesley
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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. The book is intended for a two or three semester course and is taught primarily to students who plan to pursue engineering or other 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 rearranged easily to fit the needs of the instructor as well as the 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.

Table of Contents

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
Chapter Equations, Review Exercises, and Practice Test
Lines and Angles
Measurement of Irregular Areas
Solid Geometric Figures
Functions and Graphs
Introduction to Functions
More About Functions
Rectangular Coordinates
The Graph of a Function
Graphs on the Graphing Calculator
Graphs of Functions Defined by Tables of Data
The Trigonometric Functions
Defining the Trigonometric Functions
Values of the Trigonometric Functions
The Right Triangle
Applications of Right Triangles
Systems of Linear Equations
Linear Equations
Graphs of Linear Functions
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
Factoring and Fractions
Special Products
Factoring: Common Factor and Difference of Squares
Factoring Trinomials
The Sum and Differences of Cubes
Equivalent Fractions
Multiplication and Division of Fractions
Addition and Subtraction of Fractions
Equations Involving Fractions
Quadratic Equations
Quadratic Equations
Solution by Factoring
Completing the Square
The Quadratic Formula
The Graph of the Quadratic Function
Trigonometric Functions of Any Angle
Signs of the Trigonometric Functions
Trigonometric Functions of Any Angle
Applications of Radian Measure
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
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 the Trigonometric Graphs
Composite Trigonometric Curves
Exponents and Radicals
Simplifying Expressions with Integral Exponents
Fractional Exponents
Simplest Radical Form
Addition and Subtraction of Radicals
Multiplication and Division of Radicals
Table of Contents provided by Publisher. All Rights Reserved.

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