Technical Mathematics with Calculus

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Cengage Learning, Aug 1, 2003 - Mathematics - 1613 pages
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This version of Technical Mathematics with Calculus, 3E includes formal calculus concepts that are comprehensive in scope to help students prepare for technical, engineering technology, or scientific careers. Thorough coverage of precalculus topics provides a solid base for the presentation of more formal calculus concepts later in the book. This edition retains its easy-to-understand writing style and offers myriad application-oriented exercises and examples that will help students learn to use mathematics and technology in situations related to their future work. A companion web page has additional material for both faculty and students. Benefits: * 12 projects are interspersed throughout and integrate topics from various chapters, giving opportunities for students to get involved in comprehensive group work ? not currently offered in any other technical mathematics book * calculus-specific coverage includes derivatives, integrals, transcendental functions, parametric equations, vectors, polar coordinates, differential equations, and numerical methods and Laplace transforms * integrated calculator usage and all related discussions are up to date to reflect changes in calculator technology, with new calculator screen captures providing visuals for further clarification * more than 1,400 examples and 9,000 exercises -- many of which are application-oriented -- provide opportunities for solving problems and practicing what has been learned, while allowing the use of mathematics in situations like those to be encountered on the job * the companion web page contains additional projects, sample tests, student solutions, directions for using spreadsheets and different models of calculators, and PowerPoint materials
  

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Pages faire: 85, 88, 92, 93, 108, 109, 287, 290 et 292.

Contents

The Real Number System
1
Algebraic Concepts and Operations
62
Geometry
111
Building Design
169
An Introduction to Trigonometry
230
Chip Away
270
Factoring and Algebraic Fractions
314
Vectors and Trigonometric Functions
356
Trigonometric Formulas Identities and Equations
855
Roller Coasters
884
An Introduction to Calculus
886
The Derivative
926
Applications of Derivatives
975
Integration
1028
Derivatives of Transcendental Functions
1125
Techniques of Integration
1166

Roll Em
396
Graphs of Trigonometric Functions
449
Where Will It Fall?
503
Exponential and Logarithmic Functions
534
Statistics and Empirical Methods
575
Do You Want Fries?
614
An Introduction to Plane Analytic Geometry
661
Higher Degree Equations
725
Systems of Equations and Inequalities
753
Matrices
786
Shaping Up
817
Parametric Equations Vectors
1218
Sound Out
1254
Infinite Series
1325
Lake Levels
1355
HigherOrder Differential Equations
1398
Numerical Methods and Laplace Transforms
1422
APPENDIX A The Metric System
1452
APPENDIX B Table of Integrals
1462
INDEX OF APPLICATIONS
1596
Copyright

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About the author (2003)

John C. Peterson, Ph.D., is a retired professor of mathematics at Chattanooga State Technical Community College, where he received the college's Teaching Excellence Award. Dr. Peterson is a past vice president of the American Mathematical Association for Two-Year Colleges (AMATYC) and was co-director of the AMATYC project on Mathematics for the Emerging Technologies funded by the National Science Foundation. He also authored the project report, A Vision: Mathematics for the Emerging Technologies. Among Dr. Peterson's 90 professional publications are the textbooks TECHNICAL MATHEMATICS and INTRODUCTORY TECHNICAL MATHEMATICS. Dr. Peterson holds Bachelor of Arts and Master of Arts degrees from the University of Northern Iowa and a doctor of philosophy degree in mathematics education from The Ohio State University.

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