About This Textbook
In Active Calculus: Single Variable, students are actively engaged in learning the subject through an activity-driven approach in which the vast majority of the examples are generated by students. Where many texts present a general theory followed by substantial collections of worked examples, this text instead poses problems or situations, considers possibilities, and then asks students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While the text often offers plausibility arguments for such results, rarely does it include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand calculus for themselves.
Active Calculus: Single Variable engages students with approximately 200 activities and 500 exercises that prompt them to grapple with concepts and develop deep understanding through the first two semesters of calculus. In the HTML version, more than 250 of the exercises are available as anonymous interactive WeBWorK exercises. Students should spend time in class working with peers on activities and getting feedback from them and their instructor. The Grand Valley State University Mathematics Department also offers YouTube playlists of screencasts for the entire book.
Each section begins with a short introduction and a preview activity; students should read the short introduction and complete the preview activity prior to class (and instructors should require this). The student workbooks gather together all the preview activities and activities from the textbook and arrange them to give learners room to show their work and make it easy to print out the activities.
Instructors may visit the instructors page linked in the ancillary materials to learn more about available supporting materials and join the Google Group for instructors.
Author
Matthew Boelkins, David Austin, Steven Schlicker
Publisher
Grand Valley State University
Publish Date
July 2, 2019
Edition
2018 Edition
Language
English
Level
Undergraduate
License
Features
Adopted
Supplementary Materials
What’s In This Book
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