TECHNICAL MATHEMATICS provides a thorough review of pre calculus topics ranging from algebra and geometry to trigonometry and analytic geometry, with a strong emphasis on their applications in specific occupations. The book's breadth of coverage and practical focus will prepare you well for a technical, engineering technology, or scientific career, while integrated calculator and spreadsheet examples teach you to solve problems the way professionals do on the job. Written in an easy-to-understand manner, this comprehensive book complements core content with numerous application-oriented exercises and examples to help you apply your knowledge of mathematics and technology to situations you may encounter as a working professional. The Fourth Edition of this proven book includes abundant new material, including a new chapter on computer number systems, integrated coverage of spreadsheets, and new and updated examples and exercises throughout the book.
Preface.
1. The Real Number System.
2. Algebraic Concepts and Operations of Equations.
3. Geometry.
4. Functions and Graphs.
5. An Introduction to Trigonometry and Variation.
6. Systems of Linear Equations and Determinants.
7. Factoring and Algebraic Fractions.
8. Vectors and Trigonometric Functions
9. Fractional and Quadratic Equations.
10. Graphs of Trigonometric Functions
11. Exponents and Radicals.
12. Exponential and Logarithmic Functions.
13. Statistics and Empirical Methods.
14. Complex Numbers.
15. An Introduction to Plane Analytic Geometry.
16. Computer Number Systems.
17. Higher Degree Equations.
18. Systems of Equations and Inequalities.
19. Matrices.
20. Sequences, Series, and the Binomial Formula.
21. Trigonometric Formulas, Identities, and Equations.
22. An Introduction to Calculus.
Appendix A: The Metric System.
Appendix B: Table of Integrals
Answers to Odd-Numbered Exercises
Index of Applications.
Index.
The following chapters are available in CourseMate:
23. The Derivative
24. Applications of Derivatives
25. Integration
26. Applications of Integration
27. Derivatives of Transcendental Functions
28. Techniques of Integration
29. Parametric Equations, Vectors, and Polar Coordinates
30. Partial Derivatives and Multiple Integrals
31. Infinite Series
32. First-Order Differential Equations
33. Higher-Order Differential Equations
34. Numerical Methods and LaPlace Transforms.
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John C. Peterson
John C. Peterson is a retired Professor of Mathematics at Chattanooga State Community College, Chattanooga, Tennessee, where he received the Teaching Excellence Award. His professional experience includes teaching at middle school, high school, and university levels, as well as work in industry. In addition to MATHEMATICS FOR MACHINE TECHNOLOGY, 8E, Dr. Peterson has authored or co-authored four other Cengage books: INTRODUCTORY TECHNICAL MATHEMATICS, TECHNICAL MATHEMATICS, TECHNICAL MATHEMATICS WITH CALCULUS, and MATH FOR THE AUTOMOTIVE TRADE. A member of the team that revised the 2015 College Board of Mathematical Sciences cross-sectional survey of undergraduate mathematical science programs, Dr. Peterson has also served as a vice president of The American Mathematical Association of Two-Year Colleges. He has published more than 90 journal papers and given more than 200 presentations. Dr. Peterson earned his Ph.D. in mathematics education from The Ohio State University.
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The Fourth Edition includes a new chapter on computer number systems, enhancing the text's strong emphasis on practical, career-related applications of mathematics with material highly relevant to tomorrow's technical professionals.
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The text now features integrated information on how to use spreadsheets as a valuable tool for graphing and solving problems, exposing students to important concepts and practices they are likely to encounter in their careers.
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Calculator examples throughout the text have been updated for use with the TI-84, making it easy for students to follow along step-by-step and apply the techniques on their own using current technology.
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Each chapter now features a list of learning objectives, allowing instructors and students alike to pinpoint the most important ideas, assess learning more effectively, and identify areas for further reinforcement.
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Numerous examples and exercises throughout the text have been added or updated to keep the material interesting and relevant for today's students as they prepare for success in the workplace.
-
The Fourth Edition includes a new chapter on computer number systems, enhancing the text's strong emphasis on practical, career-related applications of mathematics with material highly relevant to tomorrow's technical professionals.
-
The text now features integrated information on how to use spreadsheets as a valuable tool for graphing and solving problems, exposing you to important concepts and practices you are likely to encounter in your career.
-
Calculator examples throughout the text have been updated for use with the TI-84, making it easy to follow along step-by-step and apply the techniques on your own using current technology.
-
Each chapter now features a list of learning objectives, allowing you to pinpoint the most important ideas, assess your own learning more effectively, and identify areas for further reinforcement.
-
Numerous examples and exercises throughout the text have been added or updated to keep the material interesting and relevant as you prepare for success in the workplace.
-
More than 850 examples and 6,000 exercises—many of them application-oriented—provide opportunities for students to solve problems, practice what they have learned, and apply mathematics to situations they can expect to encounter on the job.
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The CourseMate companion Web site contains a wealth of learning tools, including graded homework and student quizzes, selected solutions for students, PowerPoint tutorials, directions for using spreadsheets and different models of calculators, an interactive e-book, skill-building games and puzzles, 12 bonus calculus chapters, and more.
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Initial material on right triangle trigonometry, statistics, the area and volume of irregular shapes, and informal calculus introduces key concepts early to support effective integration in subsequent chapters, as well as exploring complex concepts in an unintimidating way before immersing students in depth.
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The accompanying Instructor Resources CD includes a complete solutions manual with fully worked solutions to every text problem, a computerized test bank, and an image library with helpful illustrations for classroom use, saving you valuable prep time.
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More than 850 examples and 6,000 exercises—many of them application-oriented—provide opportunities to solve problems, practice what you have learned, and apply mathematics to situations you can expect to encounter on the job.
-
The CourseMate companion Web site contains a wealth of learning tools, including graded homework and student quizzes, selected solutions for students, PowerPoint tutorials, directions for using spreadsheets and different models of calculators, 12 bonus calculus chapters, an interactive e-book, skill-building games and puzzles, and more.
-
Initial material on right triangle trigonometry, statistics, the area and volume of irregular shapes, and informal calculus introduces key concepts early to support effective integration in subsequent chapters, as well as exploring complex concepts in an unintimidating way before immersing you in depth.
Instructor's Resource for Peterson's Technical Mathematics, 4th
9781111540524
Interactive Quizzing for Peterson's Technical Mathematics
9781285162522