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Open Math Notes

Resources and inspiration for math instruction and learning

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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

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

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


Andrew D. Hwang
College of the Holy Cross
MR ID: 342960
Reference #


Posted date
2018-02-06 15:32:48
Revised date
2018-02-06 15:32:48
Notes type
   Standard Course Offering
   Introduction to Mathematics
      Introduction to Proofs
      Real Analysis

Principles of Analysis

A one-semester introduction-to-proofs course. Topics include elementary logic and set theory, axioms for the real numbers, sequences, functions of one variable, continuity, integration, differentiation, the fundamental theorems of calculus, and elementary transcendental functions.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (7.4M) 02/06/18