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Single Variable Calculus

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I personally found this textbook extremely enjoyable and effective at helping me learn calculus. I'm not taking it as a class, but my teacher gave this to me for free and I'm teaching myself with it.

The book has 12 chapters. It begins with precalculus review and limits, then covers derivatives and their applications and after that integrals and applications. Unlike most texts, however, Rogawski introduces exponential and logarithmic calculus(Ch. 7) after differentiation and integration, which is good since they are so different from polynomial and trigonometric functions. He also whets the student's sense of curiosity with tantalizing questions such as "What is the antiderivative of 1/x?" and then resolving them later on.

Rogawski strikes a perfect balance between concepts and applications, not only throughout the course of the book, but even within single lessons. The examples gradually increase in difficulty from manipulating variables to solving real-world problems, as do the exercises. There are also preliminary questions between the main text and the exercises if the student needs help bridging the gap.

The only reason I would deduct a star from it is that things could have been explained a little more thoroughly. I think half the fun is filling in the blanks of the derivations and proofs, but if you prefer a more thorough approach, this one is not for you. This is a great calculus textbook if you are fairly good at math. If you are the type who spits out formulas and plugs in numbers, you will not learn calculus with this or any other textbook. But if you think critically while you're reading and solving the problems in Rogawski's text, you will master calculus with ease.


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Single Variable Calculus Overviews

The single-variable volume of Rogawski's new text presents this section of the calculus course with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms.  It is rigorous without being inaccessible and clear without being too informal—it has the perfect balance for instructors and their students. 

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Customer Review


Read if you are using this book for a class - SAG -
The review by J. King is word for word what I would have written. The Single Variable Calculus book by Jon Rogawski (Volume 1, second printing, 2008) is very poor. (Cost at my bookstore) I had to buy two other Calculus books just to make it through.

While it only has 6 chapters at 342 pages (the additional Calculus books I bought used on Amazon (one at , one at ) were 900+ pages for the same content/coverage), it does come with an online study center (If you buy the book new at +!).

The online solutions manual that comes with the book, only if you buy if new, is the worst I have ever seen. It shows the question, one interim step, then the answer (I guess they do not want us to understand the magic in between, or maybe it was just to much trouble adding in all of the steps!). Very poor attempt at a solutions manual!

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This online free calculus I book is 578 pages of examples, descriptions, and very good discussion by the instructor. This site also includes Algebra/Trig review, Algebra, Calculus II, III, Linear Algebra, and Differential Equations. I really do not know what I would have done if not for this website.

This is the BEST resource I have found for the student that has been inflicted with this very poor book.

In short, if you want a nice looking thin book on your desk to impress friends; this may be the book for you.

If you are a student taking Calculus I for credit, you will need other support material to make it through the class.

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