Table of Contents:
1. Signed Numbers 1.1 Signed Numbers
1.2 Addition and Subtraction of Signed Numbers
1.3 Multiplication and Division of Signed Numbers
1.4 Powers and Roots
1.5 Order of Operation
1.6 Scientific Notation
1.7 Problem-Solving Strategies
Summary
Review Exercises
Test
2. Units of Measurement and Approximate Numbers
2.1 Working with Units of Measure
2.2 Units of Measurement: The Metric System
2.3 Reduction and Conversion of Units
2.4 Approximate Numbers and Significant Digits
Summary
Review Exercises
Test
3. Introduction to Algebra
3.1 Working with Formulas
3.2 Basic Algebraic Expressions
3.3 Addition and Subtraction of Algebraic Expressions
3.4 Multiplication of Algebraic Expressions
3.5 Division of Algebraic Expressions
Summary
Review Exercises
Test
4. Simple Equations and Inequalities
4.1 Solving a Simple Equation
4.2 Simple Formulas and Literal Equations
4.3 Simple Inequalities
4.4 Problem-Solving Strategies and Word Problems
4.5 Ratio, Proportion, and Variation
Summary
Review Exercises
Test
5. Graphs
5.1 Functions and Function Notation
5.2 The Rectangular Coordinate System
5.3 The Graph of a Function
5.4 Graphs of a Linear Function
5.5 Graphs of Other Functions
5.6 Graphical Solutions
5.7 Graphing Inequalities
Summary
Review Exercises
Test
6. Introduction to Geometry
6.1 Basic Geometric Figures
6.2 Perimeter
6.3 Area
6.4 Volume
Summary
Review Exercises
Test
7. Simultaneous Linear Equations
7.1 Graphical Solution of Two Simultaneous Equations
7.2 Substitution Method
7.3 Addition-Subtraction Method for Solving Simultaneous Equations
7.4 Determinants in Two Equations
7.5 Problem Solving Using Systems of Linear Equations
Summary
Review Exercises
Test
8. Factoring
8.1 The Distributive Property and Common Factors
8.2 Factoring Trinomials
8.3 Factoring General Trinomials
8.4 The Difference Between Two Squares
8.5 The Sum and Difference of Cubes
Summary
Review Exercises
Test
9. Algebraic Fractions
9.1 Equivalent Algebraic Fractions
9.2 Multiplication and Division of Algebraic Fractions
9.3 The Lowest Common Denominator
9.4 Addition and Subtraction of Algebraic Fractions
9.5 Solving Fractional Equations
Summary
Review Exercises
Test
10. Exponents, Roots, and Radicals
10.1 Integral Exponents
10.2 Fractional Exponents
10.3 Imaginary Roots
10.4 Simplifying Radicals
10.5 Operations with Radicals
10.6 Working with Radical Equations
Summary
Review Exercises
Test
11. Quadratic Equations
11.1 The Quadratic Equation
11.2 Solving Quadratic Equations by Factoring
11.3 Completing the Square
11.4 Solving Quadratic Equations Using the Quadratic Formula
11.5 Graphing the Quadratic Function
Summary
Review Exercises
Test
12. Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Logarithms
12.3 Properties of Logarithms
12.4 Natural Logarithms
12.5 Exponential and Logarithm Equations
12.6 Log-log and Semi-log Graphs
Summary
Review Exercises
Test
13. Geometry and Right Triangle Trigonometry
13.1 Angles and Their Measure
13.2 Other Geometric Figures
13.3 Right Triangles and the Pythagorean Theorem
13.4 Similar Triangles
13.5 The Trigonometric Ratios
13.6 Values of the Trigonometric Ratios
13.7 Right Triangle Applications
Summary
Review Exercises
Test
14. Oblique Triangles and Vectors
14.1 Trigonometric Functions of Any Angle
14.2 The Law of Sines
14.3 The Law of Cosines
14.4 Introduction to Vectors
14.5 Vector Components
14.6 Vector Addition
Summary
Review Exercises
Test
15. Graphs of Trigonometric Functions
15.1 Radian Measure
15.2 Applications of Radian Measure
15.3 Graphs of y = a sin x and y = a cos x
15.4 Graphs of y = a sin bx and y = a cos bx
15.5 Graphs of y = a sin (bx + c) and y = a cos (bx + c)
15.6 The Sine Function as a Function of Time
Summary
Review Exercises
Test
16. Complex Numbers
16.1 Introduction to Complex Numbers
16.2 Basic Operations with Complex Numbers
16.3 Graphical Representation of Complex Numbers
16.4 Polar Form of Complex Numbers
Summary
Review Exercises
Test
17. Introduction to Data Analysis
17.1 Creating Pie Charts and Bar Graphs
17.2 Frequency Tables and Histograms
17.3 Measures of Central Tendency
17.4 Measures of Spread and Variation
17.5 Probability
Summary
Review Exercises
Test
Appendix Review of Arithmetic
A.1 Addition and Subtraction of Whole Numbers
A.2 Multiplication and Division of Whole Numbers
A.3 Fractions
A.4 Equivalent Fractions
A.5 Addition and Subtraction of Fractions
A.6 Multiplication and Division of Fractions
A.7 Decimals
A.8 Percent
Answers to Selected Exercises
Index
About the Author :
Allyn Washington was born and educated in Connecticut, where he also began teaching at Trinity College, his alma mater. He taught at Boise Junior College (now Boise State University) before joining the newly forming Dutchess Community College, in Poughkeepsie, New York, where he began writing Basic Technical Mathematics.
At the time, technical mathematics did not have a text that gave students the math they needed to successfully achieve their goals in the technical mathematics program. Al decided to write a book that specifically aligned itself with the technical programs these students were taking. He wanted his text to be flexible, allowing instructors to teach in ways that would most benefit their students. Through his vision and determination, Allyn Washington created the Technical Mathematics series.
Mario F. Triola is a Professor Emeritus of Mathematics at Dutchess Community College, where he has taught statistics for over 30 years. Marty is the author of Elementary Statistics, 10th Edition, Elementary Statistics Using Excel, Elementary Statistics Using the TI-83 84 Plus Calculator, and he is a co-author of Biostatistics for the Biological and Health Sciences, Statistical Reasoning for Everyday Life, and Business Statistics. He has written several manuals and workbooks for technology supporting statistics education. Outside of the classroom, Marty has been a speaker at many conferences and colleges. His consulting work includes the design of casino slot machines and fishing rods, and he has worked with attorneys in determining probabilities in paternity lawsuits, identifying salary inequities based on gender, analyzing disputed election results, analyzing medical data, and analyzing medical school surveys. Marty has testified as an expert witness in New York State Supreme Court. The Text and Academic Authors Association has awarded Mario F. Triola a "Texty" for Excellence for his work on Elementary Statistics.
Ellena Reda is the Department Head of the Mathematics, Physical and Computer Sciences Department at Dutchess Community College in Poughkeepsie, NY. She began her career at DCC in 1988 as an adjunct instructor. Ellena received her Bachelor’s degree in Mathematics at Marist College, her Master’s degree in Mathematics/Education from the State University of New York at New Paltz, and an advanced graduate certificate in Educational Computing from the University at Stony Brook. She is the program coordinator at DCC for the Verizon Next Step Program, has served as the program’s mathematics curriculum leader, and has taught a variety of courses in this technical program.
Ellena is a member of the American Mathematical Association of Two Year Colleges. She was a writing team member of the NSF - AMATYC Math Works Project. She was the principal investigator for a National Science Foundation Computer Science, Engineering and Mathematics Scholarship (CSEMS) Grant and a team leader/teacher leader for the State Professional Development Collaborative, an NSF/ATE Grant. In spring 2005 she was named a Regional Teacher of the Year by the New York State Technology Education Association. Ellena has co-authored the Excel Manual that accompanies Elementary Statistics, 8th, 9th and 10th editions written by Mario Triola.
In her spare time Ellena enjoys golfing, running, and reading. In 2003 she ran her first marathon to raise money for the American Stroke Association. Since then she has run 2 marathons and 3 half-marathons. She has three grown children and lives locally with her husband.
