The terminology of the text is consistent throughout. Text is readable, using notation appropriate for the level of students that are taking the course.
I have not found any use of "current" data for examples or exercises, so there should not be any issues with the updating. I have not found any errors in the writing, nor areas of bias. My classes see very few Mathematics majors and many Engineering majors, so I do not think that showing the proofs for all of the theorems is necessary, as most of my students will never need the proofs, but will need the appropriate techniques. I am fine with that, and supplement the proofs that I think are most instructive. The text lacks proofs of most of the stated theorems. I would like to see more conceptual exercises with graphical or numerical data. (4) Most of the conceptual exercises are either true/false, or open ended. (3) Applications tend to be only addressed in specific application sections, rather than introduced early and called back upon after learning new rules or techniques. There is an example of a Linear Approximation in section 2.2 of the text, and several exercises related to it, but it is rarely addressed afterward. (2) While approximations with differentials is well-addressed, the related "Linear Approximation" topic is not. In fact, the motivation for limit is not really addressed until Chapter 2. Some information is provided in a couple paragraphs at the beginning of the Limits Chapter, but no examples or exercises related to the motivation. (1) a section providing some of the motivation for the development of Calculus. The text addresses all of the required areas for the courses, though I would like to see a couple other areas: I have used this the semester-based courses Calculus 1 and Calculus 2.
Reviewed by Joel Berman, Professor, Valencia College on 6/4/20
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