Comprehensiveness rating: 5 read less
This text covers the same material as other common Calculus I textbooks. I was unable to find any major topic that is covered in my classes currently that wasn't covered in this book. There are helpful glossaries at the end of each chapter, but no universal glossary for the entire textbook. There is an index at the back.
Accuracy rating: 5
I worked through a few examples and exercises and did not find any errors.
Relevance/Longevity rating: 5
The nature of the subject makes it difficult to imagine a calculus book becoming out-of-date. The non-mathematical content of some textbooks (like historical notes) can become irrelevant or outdated, but this textbook has very little non-mathematical content and so it is not in danger of becoming out-of-date quickly.
Clarity rating: 3
The text is written in an accessible way and the prose is easy to read. Most figures were well-designed, but a few were cluttered. In particular, the critical diagrams showing the construction of the derivative were difficult to decipher due to the labels being nearly on top of one another.
Consistency rating: 5
The textbook is very consistent in its visual presentation. I did not notice any inconsistencies in terminology.
Modularity rating: 5
This textbook easily divides into small sections and subsections, as most math textbooks do. The sections are often too long for an hour-long lesson but the divisibility of the book allows the instructor to shorten or lengthen a lesson to fit the time allowed.
Organization/Structure/Flow rating: 4
This book has a similar structure to that of Stewart or Briggs. The content is broken up into 6 chapters covering essentially the same topics as those popular textbooks. One major difference: Limits at Infinity are not covered until just before Optimization, after the students have already been graphing functions using the derivative. The section on Limits at Infinity does not appear to rely on derivatives at all, so it could easily be taught with the rest of the material on limits if the instructor chooses.
Interface rating: 4
The online interface is nearly identical to the static PDF file available for download. The online version hides solutions for the example problems by default, allowing the reader to attempt the problem without being influenced by a visible solution. Some of the diagrams were larger and easier to read in the online version. It is simple to navigate to a particular section using the Table of Contents in the online interface. However I could not find a way to navigate to a particular page by the page number.
Grammatical Errors rating: 5
I did not find any grammatical errors.
Cultural Relevance rating: 3
Cultural content is very thin in this book, so there isn't much to critique here. I did notice that Newton, Leibniz, and other European mathematicians are mentioned, while there is no mention of the contributions and discoveries of non-European mathematicians.
This book would make a suitable replacement for other popular calculus textbooks such as Stewart or Briggs.
As a part of this review, I was not able to use the accompanying online homework system, WeBWorK. In my experience, students spend more time interacting with the online homework system than they do the textbook. An online homework system that is easy to use for both the instructor and the student is essential.