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College Mathematics for Technology,9780131436930
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College Mathematics for Technology



Pub. Date:
Pearson College Div
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This book uses simplified language about mathematics to promote active and independent learning; strengthening critical thinking and writing skills. A “ six-step” approach to problem-solving, numerous tips, and clear, concise explanations throughout the book enable users to "understand" the concepts underlying mathematical processes. Beginning with the foundations of the mathematical process, some of the topics covered are: whole numbers and decimals; integers; fractions; percents; measurement; area and perimeter; interpreting and analyzing data; symbolic representation, linear and nonlinear equations; powers and logarithms; formulas and applications; higher-degree equations; absolute values and inequalities; slope and distance; basic concepts in geometry; and an introduction to trigonometry. This book can serve as a valuable reference handbook for engineering technicians, nurses, dieticians, job trainers, home-schooling professionals, and others who require a basic knowledge of non-calculus mathematics.

Table of Contents

Whole Numbers and Decimals
Whole Numbers, Decimals, and the Place-Value System
Adding Whole Numbers and Decimal Numbers
Subtracting Whole Numbers and Decimals
Multiplying Whole Numbers and Decimals
Dividing Whole Numbers and Decimals
Exponents, Roots, and Powers of 10
Order of Operations and Problem Solving
Natural Numbers, Whole Numbers, and Integers
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Order of Operations
Fraction Terminology
Multiples, Divisibility, and Factor Pairs
Prime and Composite Numbers
Least Common Multiple and Greatest Common Factor
Equivalent Fractions and Decimals
Improper Fractions and Mixed Numbers
Finding Common Denominators and Comparing Fractions
Adding Fractions and Mixed Numbers
Subtracting Fractions and Mixed Numbers
Multiplying Fractions and Mixed Numbers
Dividing Fractions and Mixed Numbers
Signed Fractions and Decimals
Finding Number and Percent Equivalents
Solving Percentage Problems
Increases and Decreases
Direct Measurement
The U.S. Customary System of Measurement
Adding and Subtracting U.S.
Customary Measures
Multiplying and Dividing U.S.
Customary Measures
Introduction to the Metric System
Customary Comparisons
Reading Instruments Used to Measure Length
Temperature Formulas
Area, Perimeter, and Volume
Squares, Rectangles, and Parallelograms
Perimeter and Area of Circles, Cylinders, and Composite Figures
Volume of Prisms and Cylinders
Interpreting and Analyzing Data
Reading Circle, Bar, and Line Graphs
Frequency Distributions, Histograms, and Frequency Polygons
Finding Statistical Measures
Counting Techniques and Simple Probabilities
Linear Equations
Rational Numbers
Symbolic Representation
Solving Linear Equations
Applying the Distributive Property in Solving Equations
Numerical Procedures for Solving Equations
Function Notation
Linear Equations with Fractions and Decimals
Solving Linear Equations with Fractions by Clearing the Denominators
Solving Decimal Equations
Using Proportions to Solve Problems
Powers and Polynomials
Laws of Exponents
Basic Operations with Polynomials
Powers of 10 and Scientific Notation
Roots and Radicals
Roots and Notation Conventions
Simplifying Irrational Expressions
Basic Operations with Square-Root Radicals
Complex and Imaginary Numbers
Equations with Squares and Square Roots
Formulas and Applications
Formula Evaluation
Formula Rearrangement
Geometric Formulas
Products and Factors
The Distributive Property and Common Factors
Multiplying and Dividing Polynomials
Factoring Special Products
Factoring General Trinomials
Rational Expressions and Equations
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Solving Equations with Rational Expressions
Solving Quadratic and Higher-Degree Equations
Solving Quadratic Equations by the Square-Root Method
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Solving Higher-Degree Equations by Factoring
Exponential and Logarithmic Equations
Exponential Expressions, Equations, and Formulas
Logarithmic Expressions
Inequalities and Absolute Values
Inequalities and Sets
Solving Simple Linear Inequalities
Compound Inequalities
Solving Quadratic and Rational Inequalities
Equations Containing One Absolute-Value Term
Absolute-Value Inequalities
Graphing Functions
Graphical Representation of Equations and Functions
Graphing Linear Equations with Two Variables Using Alternative Methods
Graphing Linear Inequalities with Two Variables
Graphing Quadratic Equations and Inequalities
Graphing Other Non-Linear Equations
Slope and Distance
Point-Slope Form of an Equation
Slope-Intercept Form of an Equation
Parallel Lines and Perpendicular Lines
Distance and Midpoints
Systems of Linear Equations and Inequalities
Solving Systems of Linear Equations and Inequalities Graphically
Solving Systems of Linear Equations Using the Addition Method
Solving Systems of Linear Equations Using the Substitution Method
Problem Solving Using Systems of Linear Equations
Selected Concepts of Geometry
Basic Terminology and Notation
Angle Calculations
Sectors and Segments of a Circle
Inscribed and Circumscribed Regular Polygons and Circles
Introduction to Trigonometry
Radians and Degrees
Trigonometric Functions
Using a Calculator to Find Trigonometric Values
Right-Triangle Trigonometry
Sine, Cosine, and Tangent Functions
Applied Problems Using Right-Triangle Trigonometry
Oblique Triangles
Trigonometric Functions for Any Angle
Law of Sines
Law of Cosines
Area of Triangles
Roman Numerals
Greek Alphabet
Metric Prefixes
Business Formulas
Using Technology
Selected Answers to Student Exercise Material
Table of Contents provided by Publisher. All Rights Reserved.

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