Building a Foundation in Mathematics

by ;
Edition: 2nd
Format: Hardcover
Pub. Date: 2010-04-09
Publisher(s): Cengage Learning
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Summary

Real-world, on-the-job scenarios and a clear, straightforward approach bring to life the fundamental mathematical concepts that you will learn with BUILDING A FOUNDATION IN MATHEMATICS, 2nd EDITION. This latest edition begins with deliberate and thorough coverage of the simplest topics, like whole numbers and fractions, before delving into more advanced areas. By the time the book has progressed to complex subjects like binary numbers and Boolean algebra, you have been armed with such a solid foundation of the basics that comprehension is easy. You will find additional value in the practical examples that encompass typical situations electricians face every day, providing a concrete context for learning and making this book an indispensable resource for anyone seeking the mathematical skills necessary for work in the electrical field.

Table of Contents

Whole Numbers
Writing and Rounding Whole Numbers
Adding Whole Numbers
Subtracting Whole Numbers
Multiplying Whole Numbers
Dividing Whole Numbers
Fractions
Writing and Ordering Fractions
Converting Improper Fractions and Mixed Numbers
Adding Fractions
Subtracting Fractions
Multiplying Fractions and Mixed Numbers
Dividing Fractions and Mixed Numbers
Reading a Customary Rule
Decimals
Writing and Rounding Decimals
Adding Decimals
Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Converting Decimals and Fractions
Reading a Metric Rule
Integers
Introducing Integers
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Rational Numbers
Adding Rational Numbers
Subtracting Rational Numbers
Multiplying Rational Numbers
Dividing Rational Numbers
Exponents
Introducing Exponents
Applying Laws of Exponents
Using Scientific Notation
Simplifying Expressions with Powers of Ten
Using Engineering Notation
Introducing Roots and Fractional
Exponents
Logarithms
Finding Logarithms
Properties of Logarithms
Using Logarithms
Natural Logarithms
Applying Logarithms
Units and Measurements
Converting Units in the Customary System
Converting Units in the Metric System
Converting between Customary and Metric Units
Converting Measures of Temperature
Converting Measures of Area and Volume
Using the Mil
Algebra Essentials
Introducing Algebra
Using Properties of Addition and Multiplication
Simplifying Algebraic Expressions
Equations, Formulas, and Inequalities
Writing Equations
Solving One-Step Equations
Solving Multi-Step Equations
Using Formulas
Using Equations to Solve Word Problems
Writing Inequalities
Solving Inequalities
Ratios, Rates, and Proportions
Writing and Simplifying Ratios
Writing Unit Rates
Identifying and Solving Proportions
Solving Direct Proportion Problems
Solving Inverse Proportion Problems
Percents
Converting Fractions, Decimals, and Percents
Solving Percent Problems with Proportions
Solving Percent Problems with Equations
Solving Word Problems
The Cartesian Plane
Plotting Points on a Coordinate Plane
Graphing Linear Equations Using a Table of Values
Graphing Linear Equations Using Intercepts
Finding the Slope of a Line
Graphing Linear Equations Using Slope-Intercept Form
Writing Equations of Lines
Systems of Equations
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Solving Systems of Equations for Three Unknowns
Using Systems to Solve Word Problems
Plane Geometry
Basic Concepts
Measuring and Drawing Angles
Angles, Angle Pairs, and Parallel Lines
Polygons and Their Properties
Finding Perimeter
Finding Area
Finding Circumference and Area of Circles
Congruent and Similar Triangles
Solid Geometry
Identifying Solid Figures
Finding Lateral Area and Surface Area
Finding Volume
Trigonometry
Using the Pythagorean Theorem
Finding Trigonometric Function
Values of Acute Angles
Finding Trigonometric Function
Values of Any Angle
Using Inverse Trigonometric Functions
Solving Right Triangles
Solving Word Problems with Trigonometric Functions
Vectors
Introducing Vectors
Vector Operations
Finding the Magnitude and Direction of a Vector
Finding and Using the Components of a Vector
Binary, Octal, and Hexadecimal Numbers
Converting between Base-10 and Binary Numbers
Adding Binary Numbers
Complements of Binary Numbers
Subtracting Binary Numbers
Multiplying Binary Numbers
Converting between Base-10 and Octal Numbers
Converting between Binary and Octal Numbers
Converting between Base-10 and Hexadecimal Numbers
Converting between Binary and Hexadecimal Numbers
Boolean Algebra Fundamentals
Logic and Truth Tables
Introducing Boolean Algebra
Laws of Boolean Algebra
Using DeMorgan's Law
Mathematical Symbols
Addition Facts
Subtraction Facts
Multiplication Facts
Division Facts
Method for Computing the Square Root of a Number
Common Percents, Fractions, and Decimal Equivalents
Formulas in Geometry
Values of the Trigonometric Functions
Answers to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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