Open Math Notes

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

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Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

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Scott F. Beaver
Western Oregon University
Reference #
IBL-202011-111200

Attributes

Posted date
2020-11-20 09:46:13
Revised date
2020-11-20 09:47:11
Level
   Undergraduate
Notes type
   Standard Course Offering
   Inquiry-Based Learning (IBL)
Topic
      Real Analysis

Advanced Calculus I and II

Provides an Inquiry-Based Learning approach to the theoretical underpinnings of differential and integral calculus, in the setting of two 10-week terms. The course proceeds as students use definitions, axioms and previous theorems to prove new theorems. A variety of examples are provided to help augment students' concept images. Sequences and series of both real numbers and of real-valued functions are treated rigorously, generating a sufficient prerequisite knowledge base from which to prove the basic foundations of calculus.

This title previously published Journal of Inquiry-Based Learning in Mathematics, Issue No. 9 (Oct. 2008). Here is the url: http://jiblm.org/guides/index.php?category=jiblmjournal

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Instructor notes v1 PDF (156K)