![]() Can you also state the Limit-Comparison Test, and solve couple of examples on both Direct Comparison and Limit Comparison Test?Ĥ. ![]() Section 9.5: You stated the Direct-Comparison test. Can you solve couple of examples using Alternating Series Testģ. Section 9.4, Theorem 9.32, can you simply write decreasing instead of non-increasing?Ģ. The text is not culturally insensitive or offensive in any way.ġ. Example 1.24 : Can you modify the statement "To find x-intercept(s) of the line y=2x-3 we set." as "To find x-intercept(s) of the line y=2x-3, we set." Section 9.2: It would be nice if the author can include telescoping series examples, showing how limit of partial sum lim s_)>=f(x)"Ģ. Reviewed by Olusegun Otunuga, Assistant Professor, Marshall University on 5/13/20ġ. The only real weaknesses would the depth of coverage is somewhat inconsistent in spots, and several sections could use more exercises. It would also be very easy to adapt to individual needs. It is clearly and concisely written, and topics/sections are modularized well. Overall, this is a strong textbook for a traditional Calculus sequence. The text seems to be written with inclusivity in mind, in particular with its frequent use of multiple ways of explaining/examining a particular problem or concept. There were no grammatical errors noticed. Chapter 14 (Multiple Integration) is particularly well laid out. The overall appearance of the text is clean and streamlined, making for a very comfortable interface. There is a nice balance between sections being self-contained (or as self-contained as feasible), with a gradual progression and accumulation of ideas. The author does a nice job in partitioning the material into sections (for example the chapter on basics of integration is rather short, but then individual techniques of integration receive a thorough and individualized treatment in the next chapter.) ![]() only one example provided for using the quotient rule.) For example, its treatment of applications of derivatives is very thorough, providing good explanations and examples, while some of the treatment on rules of finding derivatives is a bit sparse (e.g. In this regard, the brevity is a strength. All relevant techniques that students are likely to need in subsequent classes are covered. Also, this brevity allows the text to be very adaptable to individual instructor or departmental needs and objectives. This brevity is a positive from the perspective of keeping the material relevant, as there is not much that can become out of date. I did not notice any errors, either mathematical or typographical.Īs mentioned previously, the writing is concise and does not have much context. The exercise sections could be a bit more robust. The writing is very concise, but on the other hand does not provide a lot of context or applications interwoven throughout the sections. The text is very comprehensive, and covers all topics in a typical three semester calculus sequence. Reviewed by Richard McBride, Mathematics Instructor, Lane Community College on 1/12/21 Journalism, Media Studies
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