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Calculus: Single Variable
Product Description Now in its fourth edition, Calculus reflects the strong consensus within the mathematics community for a balance between contemporary and traditional ideas. Building on previous work, it brings together the best of both new and traditional curricula in an effort to meet the requirements of instructors and students alike. The text exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that is easy to understand, and a flexible approach to technology. Reader Reviews Little explanation or background is provided to orient the student; the book assumes the reader has been using trigonometry and algebra on a daily basis for the better part of adulthood. An example of this is the section on rates and related rates (4.6). There are two paragraphs given in the way of explanation: "Derivatives represent rates of change. In this section, we see how to calculate rates in a variety of situations." And... "In Example 1, the radius of the snowball decreased at a constant rate. A more realistic scenario is for the radius to decrease at different rates at different times. Then, we may not be able to write a formula for V as a function of t. However, we may still be able to calculate dV/dt, as in the following example." No mention of how the process of working related rates problems is similar to implicit differentiation. No step-by-step outline of a general way to go about working this category of problem. Just examples outside of any framework. Better for a refresher in Calculus for graduate students than a freshman-level course. I used Stewart's "Calculus: Concepts and Contexts" to learn how to do the assigned work from this text. Don't think the solutions manual will help--only a subset of the odd problems in the text are described and the explanations are often wanting. Comment | | (Report this)
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