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Technical Mathematics, 2/E
Dale Ewen, Parkland Community College
Joan S. Gary, Parkland Community College
James E. Trefzger, Parkland Community College

ISBN-10: 0130488100
ISBN-13: 9780130488107

Publisher: Prentice Hall
Copyright: 2005
Format: Paper; 832 pp
Published: 06/04/2004

Suggested retail price: $143.40
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Core text for 2-3 term courses in Technical Math .

Technical Mathematics 2nd Edition (formerly Mathematics for Technical Education) provides comprehensive coverage of the mathematics needed by students in technical career fields or engineering technology programs. A wealth of technology examples and applications are integrated throughout the text supported by over 5600 exercises. This text covers fundamental math concepts including measurement, geometry, algebraic concepts, exponential and logarithmic functions, trigonometry, complex numbers, matrices, polynomials and rational functions, basic statistics, and analytic geometry.

  • Numerous detailed, illustrated examples drawn form a wide range of technologies.

    • Enables students to see concepts applied in their fields of study.

  • More than 5600 exercises-all checked for accuracy and relevance.

    • Offers students a wealth of exercises to assure mastery of topics.

  • Emphasis on important major formulas and principles—Provides comprehensive development and consistent use of measurement and significant digits throughout the text.

    • Prepare students to apply math in the real world and provides platform for more advanced course work.

  • Calculator story-boards integrated throughout the text.

    • Shows students step-by-step operations.

  • Instructions for using the Basic (TI-83) and advanced (TI-89) graphing calculators are provided in Appendices C and D.

    • Provides students with basic tutorials for these popular calculators.

  • NEW - Electronic Study Guide on CD packaged FREE with each new text — This unique tutorial tool contains the entire book on CD along with question banks for each section objective covered in the text. As students work through the self-study questions, the quizzes are immediately graded and can access the text on CD to review concepts that they have not understood.

    • The Electronic Study Guide helps students master the material and prepare them for taking classroom tests.

  • NEW - Online Graphing Calculator Help for popular TI, HP, Casio, GFX, and Sharp Calculators—Available at the book companion website www.prenhall.com/ewen

    • Provides tutorial help for the most popular hand-held calculators.

  • NEW - Chapter 2: "Review of Geometry."

    • Inclusion of this topic early in the text provides a thorough review of topics students need early in their fields of study.

  • NEW - Ten end-of-chapter extended applications in technology.

    • These new applications involve using mathematics to solve interesting technical applications (see sample "Special NASA Application")

(NOTE: Each chapter ends with a Summary and a Review section.)

1. Fundamental Concepts.

The Real Number System. Zero and Order of Operations. Scientific Notation and Powers of 10. Measurement. Operations with Measurements. Algebraic Expressions. Exponents and Radicals. Multiplication of Algebraic Expressions. Division of Algebraic Expressions. Linear Equations. Formulas. Substitution of Data into Formulas. Applications Involving Linear Equations. Ration and Proportion. Variation.



2. Review of Geometry.

Angles and Lines. Triangles. Quadrilaterals. Circles. Geometric Solids: Areas and Volumes.



3. Right-Triangle Trigonometry.

The Trigonometric Ratios. Values of the Trigonometric Ratios. Solving Right Triangles. Applications of the Right Triangle.



4. Equations and Their Graphs.

Functions. Graphing Equations. The Straight Line. Parallel and Perpendicular Lines. The Distance and Midpoint Formulas.



5. Factoring and Algebraic Fractions.

Special Products. Factoring Algebraic Expressions. Other Forms of Factoring. Equivalent Fractions. Multiplication and Division of Algebraic Fractions. Addition and Subtraction of Algebraic Fractions. Complex Fractions. Equations with Fractions.



6. Systems of Linear Equations.

Solving a System of Two Linear Equations. Other Systems of Equations. Solving a System of Three Linear Equations. Determinants. Properties of Determinants. Solving a System of Linear Equations Using Determinants. Partial Fractions.



7. Quadratic Equations.

Solving Quadratic Equations by Factoring. Solving Quadratic Equations by Completing the Square. The Quadratic Formula. Applications.



8. Exponents and Radicals.

Integral Exponents. Fractional Exponents. Simplest Radical Form. Addition and Subtraction of Radicals. Multiplication and Division of Radicals. Equations with Radicals. Equations in Quadratic Form.



9. Exponentials and Logarithms.

The Exponential Function. The Logarithm. Properties of Logarithms. Common Logarithms. Natural Logarithms. Solving Exponential Equations. Solving Logarithmic Equations. Applications: Solving Exponential and Logarithmic Equations. Data Along a Straight Line.



10. Trigonometric Functions.

The Trigonometric Functions. Trigonometric Functions of Any Angle. Radian Measure. Use of Radian Measure.



11. Oblique Triangles and Vectors.

Law of Sines. The Ambiguous Case. Law of Cosines. Applications of Oblique Triangles. Addition of Vectors: Graphical Methods. Addition of Vectors: Trigonometric Methods. Vector Components. Vector Applications.



12. Graphing the Trigonometric Functions.

Graphing the Sine and Cosine Functions. Phase Shift. Graphing the Other Trigonometric Functions. Graphing Composite Curves. Simple Harmonic Motion.



13. Trigonometric Formulas and Identities.

Basic Trigonometric Identities. Formulas for the Sum and the Difference of Two Angles. Double- and Half-Angle Formulas. Trigonometric Equations. Inverse Trigonometric Functions.



14. Complex Numbers.

Complex Numbers in Rectangular Form. Trigonometric and Exponential Forms of Complex Numbers. Multiplication and Division of Complex Numbers in Exponential and Trigonometric Forms. Powers and Roots.



15. Matrices.

Basic Operations. Multiplication of Matrices. Finding the Inverse of a Matrix. Solving a System of Equations by a Matrix Method.



16. Polynomials of Higher Degree.

Polynomial Functions. Real Solutions of Polynomial Equations. Complex Solutions of Polynomial Equations.



17. Inequalities and Absolute Value.

Inequalities. Equations and Inequalities Involving Absolute Value. Other Types of Inequalities. Inequalities in Two Variables.



18. Progressions and the Binomial Theorem.

Arithmetic Progressions. Geometric Progressions. The Binomial Theorem.



19. Basic Statistics.

Graphic Presentation of Data. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Fitting Curves to Data Sets. Statistical Process Control.



20. Analytic Geometry.

The Circle. The Parabola. The Ellipse. The Hyperbola. Translation of Axes. The General Second-Degree Equation. Systems of Quadratic Equations. Polar Coordinates. Graphs in Polar Coordinates.



Appendix A: Tables.

U.S. Weights and Measures. Conversion Tables. Physical Quantities and their Units.



Appendix B: The Metric System.

Introduction. Length. Mass. Volume and Area. Temperature, Time, Current, and Power. Other Conversions. Appendix B Review.



Appendix C: Using a Graphic Calculator.

Introduction to the Keyboard of the TI-83 PLUS. Computational Examples. Graphing Features. Examples of Graphing. Trigonometric Functions and Polar Coordinates. Equation Solving and TABLE Features. The Numeric SOLVER. Matrix Features. LIST Features and Descriptive Statistics. The Line of Best Fit (Linear Regression). Calculus Features. Sequences and Series.



Appendix D: Using an Advanced Graphing Calculator.

Introduction to the TI-89 Keyboard. Variables and Editing. The Home Screens Menus. The Keyboard Menus. Graphing Functions. Examples of Graphing. Trig Functions and Polar Coordinates. Numerical GRAPH and TABLE Features. Sequences and Series. The Numeric Solver. Matrix Features. The Data Editor and Descriptive Statistics. The Line of Best Fit (Linear Regression). Symbolic Algebra Features. Basic Calculus Features. Graphing in 3D. Advanced Calculus Features.



Answers to Odd-Numbered Exercises and Chapter Reviews.


Index.

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