Introduction to Technical Mathematics
Inbunden, Engelska, 2007
3 019 kr
Produktinformation
- Utgivningsdatum2007-03-01
- Mått10 x 10 x 10 mm
- Vikt1 640 g
- SpråkEngelska
- Antal sidor768
- Upplaga5
- FörlagPearson Education
- EAN9780321374172
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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.
- 1. Signed Numbers 1.1 Signed Numbers1.2 Addition and Subtraction of Signed Numbers1.3 Multiplication and Division of Signed Numbers1.4 Powers and Roots1.5 Order of Operation1.6 Scientific Notation1.7 Problem-Solving StrategiesSummaryReview ExercisesTest 2. Units of Measurement and Approximate Numbers2.1 Working with Units of Measure2.2 Units of Measurement: The Metric System2.3 Reduction and Conversion of Units2.4 Approximate Numbers and Significant DigitsSummaryReview ExercisesTest 3. Introduction to Algebra3.1 Working with Formulas3.2 Basic Algebraic Expressions3.3 Addition and Subtraction of Algebraic Expressions3.4 Multiplication of Algebraic Expressions3.5 Division of Algebraic ExpressionsSummaryReview ExercisesTest 4. Simple Equations and Inequalities4.1 Solving a Simple Equation4.2 Simple Formulas and Literal Equations4.3 Simple Inequalities4.4 Problem-Solving Strategies and Word Problems4.5 Ratio, Proportion, and VariationSummaryReview ExercisesTest 5. Graphs5.1 Functions and Function Notation5.2 The Rectangular Coordinate System5.3 The Graph of a Function5.4 Graphs of a Linear Function5.5 Graphs of Other Functions5.6 Graphical Solutions5.7 Graphing InequalitiesSummaryReview ExercisesTest 6. Introduction to Geometry6.1 Basic Geometric Figures6.2 Perimeter6.3 Area6.4 VolumeSummaryReview ExercisesTest 7. Simultaneous Linear Equations7.1 Graphical Solution of Two Simultaneous Equations7.2 Substitution Method7.3 Addition-Subtraction Method for Solving Simultaneous Equations7.4 Determinants in Two Equations7.5 Problem Solving Using Systems of Linear EquationsSummaryReview ExercisesTest 8. Factoring8.1 The Distributive Property and Common Factors8.2 Factoring Trinomials8.3 Factoring General Trinomials8.4 The Difference Between Two Squares8.5 The Sum and Difference of CubesSummaryReview ExercisesTest 9. Algebraic Fractions9.1 Equivalent Algebraic Fractions9.2 Multiplication and Division of Algebraic Fractions9.3 The Lowest Common Denominator9.4 Addition and Subtraction of Algebraic Fractions9.5 Solving Fractional EquationsSummaryReview ExercisesTest 10. Exponents, Roots, and Radicals10.1 Integral Exponents10.2 Fractional Exponents10.3 Imaginary Roots10.4 Simplifying Radicals10.5 Operations with Radicals10.6 Working with Radical EquationsSummaryReview ExercisesTest 11. Quadratic Equations11.1 The Quadratic Equation11.2 Solving Quadratic Equations by Factoring11.3 Completing the Square11.4 Solving Quadratic Equations Using the Quadratic Formula11.5 Graphing the Quadratic FunctionSummaryReview ExercisesTest 12. Exponential and Logarithmic Functions12.1 Exponential Functions12.2 Logarithms12.3 Properties of Logarithms12.4 Natural Logarithms12.5 Exponential and Logarithm Equations12.6 Log-log and Semi-log GraphsSummaryReview ExercisesTest 13. Geometry and Right Triangle Trigonometry13.1 Angles and Their Measure13.2 Other Geometric Figures13.3 Right Triangles and the Pythagorean Theorem13.4 Similar Triangles13.5 The Trigonometric Ratios13.6 Values of the Trigonometric Ratios13.7 Right Triangle ApplicationsSummaryReview ExercisesTest 14. Oblique Triangles and Vectors14.1 Trigonometric Functions of Any Angle14.2 The Law of Sines14.3 The Law of Cosines14.4 Introduction to Vectors14.5 Vector Components14.6 Vector AdditionSummaryReview ExercisesTest 15. Graphs of Trigonometric Functions15.1 Radian Measure15.2 Applications of Radian Measure15.3 Graphs of y = a sin x and y = a cos x15.4 Graphs of y = a sin bx and y = a cos bx15.5 Graphs of y = a sin (bx + c) and y = a cos (bx + c)15.6 The Sine Function as a Function of TimeSummaryReview ExercisesTest 16. Complex Numbers16.1 Introduction to Complex Numbers16.2 Basic Operations with Complex Numbers16.3 Graphical Representation of Complex Numbers16.4 Polar Form of Complex NumbersSummaryReview ExercisesTest 17. Introduction to Data Analysis17.1 Creating Pie Charts and Bar Graphs17.2 Frequency Tables and Histograms17.3 Measures of Central Tendency17.4 Measures of Spread and Variation17.5 ProbabilitySummaryReview ExercisesTest Appendix Review of ArithmeticA.1 Addition and Subtraction of Whole NumbersA.2 Multiplication and Division of Whole NumbersA.3 FractionsA.4 Equivalent FractionsA.5 Addition and Subtraction of FractionsA.6 Multiplication and Division of FractionsA.7 DecimalsA.8 Percent Answers to Selected ExercisesIndex