Ebook: Calculus: A Lab Course with MicroCalc®

Preface Objectives of This Book • To teach calculus as a laboratory science, with the computer and software as the lab, and to use this lab as an essential tool in learning and using calculus. • To present calculus and elementary differential equations with a minimum of fuss-through practice, not theory. • To stress ideas of calculus, applications, and problem solving, rather than definitions, theorems, and proofs. • Toemphasize numerical aspects: approximations, order of magnitude, concrete answers to problems. • To organize the topics consistent with the needs of students in their concurrent science and engineering courses. The subject matter of calculus courses has developed over many years, much by negotiation with the disciplines calculus serves, particularly engineering. This text covers the standard topics in their conventional order. Mostly because of commercial pressures, calculus texts have grown larger and larger, trying to include everything that anyone conceivably would cover. Calculus texts have also added more and more expensive pizzazz, up to four colors now. This text is lean; it eliminates most of the "fat" of recent calculus texts; it has a simple physical black/white format; it ignores much of current calculus "culture". The computer has forced basic changes in emphasis and how to teach calculus.

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This one-year calculus textbook is written for use with the author's calculus software package, MicroCalc release 7.0 (and earlier), a numerical computing and graphing software package developed explicitly for calculus instruction.
For colleges teaching calculus using computers, this is an inexpensive, accurate, and easy-to-use program. The text covers standard single-variable topics, comparable to any text in the subject. It is directly keyed to the software and has taken advantage of the computer based nature of the course. MicroCalc is fully menu-driven, with excellent functionality and low maintenance.

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This one-year calculus textbook is written for use with the author's calculus software package, MicroCalc release 7.0 (and earlier), a numerical computing and graphing software package developed explicitly for calculus instruction.
For colleges teaching calculus using computers, this is an inexpensive, accurate, and easy-to-use program. The text covers standard single-variable topics, comparable to any text in the subject. It is directly keyed to the software and has taken advantage of the computer based nature of the course. MicroCalc is fully menu-driven, with excellent functionality and low maintenance.
Content:
Front Matter....Pages i-xi
Functions and Graphs....Pages 1-37
Limits....Pages 38-60
The Derivative....Pages 61-93
Applications of Derivatives....Pages 94-141
Integration....Pages 142-180
Applications of Integration....Pages 181-207
Functions and Integrals....Pages 208-246
Approximation....Pages 247-299
Power Series....Pages 300-319
Back Matter....Pages 320-332

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This one-year calculus textbook is written for use with the author's calculus software package, MicroCalc release 7.0 (and earlier), a numerical computing and graphing software package developed explicitly for calculus instruction.
For colleges teaching calculus using computers, this is an inexpensive, accurate, and easy-to-use program. The text covers standard single-variable topics, comparable to any text in the subject. It is directly keyed to the software and has taken advantage of the computer based nature of the course. MicroCalc is fully menu-driven, with excellent functionality and low maintenance.
Content:
Front Matter....Pages i-xi
Functions and Graphs....Pages 1-37
Limits....Pages 38-60
The Derivative....Pages 61-93
Applications of Derivatives....Pages 94-141
Integration....Pages 142-180
Applications of Integration....Pages 181-207
Functions and Integrals....Pages 208-246
Approximation....Pages 247-299
Power Series....Pages 300-319
Back Matter....Pages 320-332
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