1: Not enough rigor for my tastes
As a math instructor at a small college, I am occasionally called upon to teach calculus. Therefore, I examined this book for possible consideration as a textbook in our three-course sequence. At over 1000 pages, it certainly has all the material needed for the three-course sequence we offer at Mount Mercy. The first chapter (number 0) of 72 pages consists of a review of precalculus topics. I consider this to be about right in terms of the amount of review material that should be included. However, if I were teaching the class, I would spend around a week on this material. In my opinion there is a reason for prerequisites and the most important one is so that you can cover the material of the current course, not review what should have already been done.
Chapter number 1 is an introduction to limits, but the approach is intuitive rather than formal. In my opinion, there is not enough of the traditional epsilon-delta approach to the structure of limits. The remainder of the book is largely more of this "intuitive" notion of calculus. Theorems are stated but rarely proven, most of the time there is a statement of the new technique followed by a series of worked examples. While this approach works well, there are times when there is just no substitute for the complete proof of a theorem when it comes to understanding exactly what the technique really is.
Therefore, if your approach to calculus is to have the students engage in "plug and chug" exercises, then this book would be an excellent selection for a textbook. However, if you are like me and feel the need to inject some occasional rigor, you will either have to provide it yourself or use another book.
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