图书简介
Yes, this is another Calculus book. However, I think it fits in a niche between the two predominant types of such texts. It could be used as a textbook, albeit a streamlined one — it contains exposition on each topic, with an introduction, rationale, train of thought, and solved examples with accompanying suggested exercises. It could be used as a solution guide — because it contains full written solutions to each of the hundreds of exercises posed inside. But its best position is right in between these two extremes. It is best used as a companion to a traditional text or as a refresher — with its conversational tone, its "get right to it" content structure, and its inclusion of complete solutions to many problems, it is a friendly partner for students who are learning Calculus, either in class or via self-study.Exercises are structured in three sets to force multiple encounters with each topic. Solved examples in the text are accompanied by "You Try It" problems, which are similar to the solved examples; the students use these to see if they’re ready to move forward. Then at the end of the section, there are "Practice Problems": more problems similar to the You Try It problems, but given all at once. Finally, each section has Challenge Problems — these lean to being equally or a bit more difficult than the others, and they allow students to check on what they’ve mastered.My goal is to keep the students engaged with the text, and so the writing style is very informal, with attempts at humor along the way. Because we have large engineering and meteorology programs at my institution, and they make up the largest portion of our Calculus students; naturally, then, these sorts of STEM students are the target audience.Key Features: o The text is intended to be fully consumed; it is designed so that students become engaged with every topic and every exercise presented. It is not a text where 100 problems per section are presented so that instructors can select a dozen for assignment. The book is written in a very conversational tone; it is not a stuffy academic text. Proper mathematicians may get a rash from reading ito The exercises are grouped to encourage "stepwise learning"; if they are following the plan, students will have three runs of problem solving in each section — You Try It problems accompany the solved examples, Practice Problems are intended as a first "check up" at the end of a section, and Challenge Problems of equal or more advanced difficulty are presented for a show of final mastery. Students will have access to fully written solutions to all problems at some point along the way
The Integration Dojo; The Mathematics Chainsaw Massacre; Round and Round We Go: Solids of Revolution; Approximation; The Fear of All Sums; A Change in Graph Paper; Solutions to All Practice Problems; Solutions to All Challenge Problems; Index;
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