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Calculus Know It All

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Calculus Know It All

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Name:Calculus Know It All

Infohash: 46BAB6247E7588A831C906B3500E719601CAA871

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Torrent added: 2009-09-11 07:31:55






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Calculus
Know-It-ALL
Beginner to Advanced,
and Everything in Between
Stan Gibilisco.

Stan Gibilisco is an electronics engineer, researcher, and mathematician. He is the author of
Algebra Know-It-ALL, a number of titles for McGraw-Hill’s Demystified series, more than 30
other technical books and dozens of magazine articles. His work has been published in several
languages.


Preface
If you want to improve your understanding of calculus, then this book is for you. It can supplement
standard texts at the high-school senior, trade-school, and college undergraduate
levels. It can also serve as a self-teaching or home-schooling supplement. Prerequisites include
intermediate algebra, geometry, and trigonometry. It will help if you’ve had some precalculus
(sometimes called “analysis”) as well.
This book contains three major sections. Part 1 involves differentiation in one variable.
Part 2 is devoted to integration in one variable. Part 3 deals with partial differentiation and
multiple integration. You’ll also get a taste of elementary differential equations.
Chapters 1 through 9, 11 through 19, and 21 through 29 end with practice exercises. You
may (and should) refer to the text as you solve these problems. Worked-out solutions appear
in Apps. A, B, and C. Often, these solutions do not represent the only way a problem can be
figured out. Feel free to try alternatives!
Chapters 10, 20, and 30 contain question-and-answer sets that finish up Parts 1, 2, and
3, respectively. These chapters will help you review the material.
A multiple-choice final exam concludes the course. Don’t refer to the text while taking
the exam. The questions in the exam are more general (and easier) than the practice exercises
at the ends of the chapters. The exam is designed to test your grasp of the concepts, not to see
how well you can execute calculations. The correct answers are listed in App. D.
In my opinion, most textbooks place too much importance on “churning out answers,”
and often fail to explain how and why you get those answers. I wrote this book to address these
problems. I’ve tried to introduce the language gently, so you won’t get lost in a wilderness of
jargon. Many of the examples and problems are easy, some take work, and a few are designed
to make you think hard.
If you complete one chapter per week, you’ll get through this course in a school year. But
don’t hurry. When you’ve finished this book, I recommend Calculus Demystified by Steven G.
Krantz and Advanced Calculus Demystified by David Bachman for further study. If Chap. 29
of this book gets you interested in differential equations, I recommend Differential Equations
Demystified by Steven G. Krantz as a first text in that subject.
Stan Gibilisco

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