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Calculus II For Dummies [Kindle Edition]

Mark Zegarelli
4.3 out of 5 stars  See all reviews (29 customer reviews)

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Check out an easy-to-understand primer (PDF) on advanced calculus topics.

Book Description

An easy-to-understand primer on advanced calculus topics

Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams.

It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.

  • Introduction to integration
  • Indefinite integrals
  • Intermediate Integration topics
  • Infinite series
  • Advanced topics
  • Practice exercises

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!

Editorial Reviews

From the Back Cover

An easy-to-understand primer on advanced calculus topics

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight! Calculus II For Dummies offers expert instruction, advice, and tips to help students get a handle on intermediate calculus topics. Best of all, it includes example problems and explanations that enhance your understanding of this complex subject.

  • Calculus II 101 — get an easy-to-follow introduction to the definite integral, the Reimann sum equation, and the indefinite integral

  • Strike that, reverse it — discover everything you need to know about reversing the differential process to solve a limited set of indefinite integrals using anti-differentiation

  • Go big with trig — find out how to use a whole host of trig functions to integrate powers of sines and cosines, and then tangents and secants, and finally cotangents and cosecants

  • Conquer the Mount Everest of Math — move on to intermediate integration, infinite series, and the math you can expect in higher-level Calculus courses

Open the book and find:

  • A need-to-know refresher on Pre-Calculus and Calculus I

  • The "Aha!" insights in Calculus II

  • Useful test-taking tips

  • The 4-1-1 on area problems

  • Plain-English explanations of integrals

  • Everything you need to know about the infinite series

  • Help on solving area problems

  • How to use calculus to solve 3-D problems

Learn to:

  • Make sense of advanced calculus topics

  • Get ahead of the curve with easy-to-understand explanations of complicated subject matter

  • Score high in your Calculus II class

About the Author

Mark Zegarelli, a math tutor and writer with 25 years of professional experience, delights in making technical information crystal clear — and fun — for average readers. He is the author of Logic For Dummies and Basic Math & Pre-Algebra For Dummies.

Product Details

  • File Size: 10464 KB
  • Print Length: 387 pages
  • Page Numbers Source ISBN: 111816170X
  • Publisher: For Dummies; 2 edition (January 10, 2012)
  • Sold by: Amazon Digital Services, Inc.
  • Language: English
  • ASIN: B006XNJB76
  • Text-to-Speech: Enabled
  • X-Ray:
  • Word Wise: Not Enabled
  • Lending: Enabled
  • Amazon Best Sellers Rank: #142,264 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
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Customer Reviews

Most Helpful Customer Reviews
12 of 12 people found the following review helpful
5.0 out of 5 stars Excellent review of Calculus II March 13, 2012
Format:Paperback|Vine Customer Review of Free Product (What's this?)
Sometimes it takes a while to overcome a prejudice and a misconception. I once swore I'd never use any book labeled "For Dummies", considering any such title as being beneath my dignity. Having recently discovered that dignity often precludes understanding, I decided to throw caution to the winds and read Calculus II For Dummies. It is superb. So much for preconceived ideas. I took Calculus years ago and I decided a refresher was in order for some further self-study. Integration constitutes the lion's share of the second Calculus course in the sequence, and it makes up most of the material contained in this book.

Calculus II For Dummies is easy to read, it is full of superb illustrative examples, and it is always coherent and clear. Unlike Calculus textbooks, which are organized on a progressive basis, piling fact-upon-fact, this For Dummies book dives right into the material, excludes everything not immediately relevant to the discussion at hand and assumes that clarity and not quantity is the most important organizing principle. If you are having trouble understanding the material in your text, you might try reading this excellent overview of Calculus II. I think you might find it both helpful and a pleasure to use.
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20 of 25 people found the following review helpful
Format:Paperback|Vine Customer Review of Free Product (What's this?)
While the "for Dummies" qualification in the title indicates that this book is targeted at a general audience that is not the case. The second chapter is devoted to a "review" of precalculus and differential calculus, but this is largely just a quick flyby. Zegarelli explicitly assumes that the reader has passed a course in calculus I covering derivatives. I found it amusing that in the review of derivatives on page 58 the derivative of e to the x power is given as 1.
The remainder of the book is a series of brief explanations of topics usually found in calculus II. Definite and indefinite integration, techniques of integration such as integration by parts, trigonometric substitution and partial fraction decomposition, sequences and series, multivariable calculus and differential equations are all covered, which is an overstatement. The topics are mentioned, but in such a brief manner that it is difficult to see how the person learning the topics would get anything out of them. In my opinion, the only groups of readers that will find value in this book are those that are learning the material in another venue and need a different perspective and those that need a review.
I have been teaching calculus at the college level for decades and can attest that the students learn by seeing many examples worked through. To simply tell them how it is done and then to move on is to lose them very quickly. Few people without pre-existing knowledge of calculus II could read this book and get anything out of it. Most of the puns and jokes will be lost on readers whose primary language is not English.
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4 of 4 people found the following review helpful
5.0 out of 5 stars Great Approach to Calculus February 22, 2012
Format:Paperback|Vine Customer Review of Free Product (What's this?)
Calculus II For Dummies 2nd Edition by Mark Zegarelli covers intermediate calculus topics - specifically integration, infinite series, and multivariate analysis. He handles these topics very well and includes a great (short) review of what you should have learned in Pre-calculus and Calculus I as well. I was pleased to see that he does all this without recourse to the dreaded graphing calculator. The standard Dummies books features - tips, warnings, technical stuff, and the wonderful part of tens - are all here and used to good effect. His ten "aha! insights" list on integration is wonderful. And Rich Tennant. as usual, comes up with amusing cartoons for each part - all on mathematical themes.

This book is a definite improvement over the Calculus for Dummies book (by a different author); depending on your mathematics background, you might want to just skip directly to this volume. Please note that although this is a "Dummies" book, it does assume a very solid background in mathematics, including algebra and trigonometry. Don't tackle Calculus without them! And doing math at this level does require one to memorize certain essentials, which the author clearly identifies for you. Despite the technical details, the author keeps the emphasis on understanding the concepts between the sometimes complicated math. Recommended.
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3 of 3 people found the following review helpful
2.0 out of 5 stars Skips too many details January 1, 2015
By Val
This book claims to give a "solid introduction" to what you'd encounter in a Calc 2 course. It's more of a bird's-eye view of the subject. The author also claims that you can use the book for self-study. You can, but only sort-of.

This book has the same problem that lots of textbooks have: too many skipped steps. This is especially bad when complex techniques are being introduced. The author gives a basic description of how to do something and then tells you to just finish up this problem yourself using techniques taught in "previous sections." This is bad for a learner, and it doesn't really fit with the whole Dummies approach of complete explanations. What's worse is that the "previous sections" give simple examples, and what's left to you is usually something complex. Worst of all, the author doesn't even give you an answer so you can at least check if you got it right.

There are also mistakes in the book (e.g. on page 58, the derivative of e to the x is 1?). The author also doesn't do a good job of telling you when to choose one technique over another one. Instead, he splats everything out for you to memorize.

Students learn by going through fully worked examples, and the strength of Dummies books has always been that everything is written down in examples. Too bad this one falls flat in that regard.
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More About the Author

Mark Zegarelli is the author of Logic For Dummies. He holds degrees in both English and math from Rutgers University. He has earned his living for many years writing vast quantities of logic puzzles, a hefty chunk of software documentation, and the occasional book or film review. Along the way, he's also paid a few bills doing housecleaning, decorative painting, and (for ten hours) retail sales. He likes writing best, though.

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