In the name of Allah the Merciful

Casual Calculus: A Friendly Student Companion: Volume 1

Kenneth H Luther, 9811223920, 9811223947, 9811224889, 9789811223921, 9789811223945, 9789811224881, 978-9811223921, 978-9811223945, 978-9811224881, B0BJK3V62V

English | 2023 | Original PDF | 18 MB | 722 Pages

number
type
  • {{value}}
wait a little

Yes,  this is another Calculus book. However, 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.

The 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. The target audience is STEM students including  those in engineering and meteorology programs.

Contents:

  • Preface
  • Prelude: Your Mathematics Pep Talk
  • Years of Work in One Chapter
  • Take It to the Limit
  • Embrace the Change
  • Abandon Hope All Ye Who Enter Here
  • Calculus Has Its Ups and Downs
  • The Best Mathematics Symbol There Is ... So Far
  • Appendix A: Solutions to All Practice Problems
  • Appendix B: Solutions to All Challenge Problems
  • Index

Readership: Undergraduate students currently taking or refreshing themselves on Calculus.