Synopsis
This book is an outgrowth of our Technical Mathematics with Calculus. It is in¬tended for students enrolled in an engineering technology curriculum. The material is presented under the assumption that the student has a working knowledge of col¬lege-level algebra and trigonometry.
The primary objective of a technical calculus book is to relate mathematical concepts to practical engineering technology problems. We have attempted to attain this goal by using physical problems that are well within the scope of the beginning student as a springboard to mathematical concepts. Our approach is exemplified in Chapters 2 and 6 in connection with the concepts of the derivative and the definite integral, respectively. Both chapters are designed to lead the student to the desired mathematical concept by identifying the common thread in several apparently unre¬lated physical problems. For example, in Chapter 2, the similarity in the solutions to the slope of a tangent line, the velocity of a particle, and the current in a circuit is used to motivate the definition of the derivative.
The scope of topics covered in the text is standard for technical calculus books. Algebraic functions are discussed in the preliminary chapters and are fol¬lowed by the transcendental functions. Selected topics from differential equations and infinite series are presented in the concluding chapters.
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Calculus and Analytic Geometry for Engineering Technology
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Calculus and Analytic Geometry for Engineering Technology
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