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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


Karl Petersen
University of North Carolina at Chapel Hill
MR ID: 201837
Reference #


Posted date
2018-06-12 22:25:15
Revised date
2018-06-12 22:25:15
Notes type
   Topics Course
   Introduction to Mathematics
      Mathematics for Liberal Arts
   Discrete Mathematics
   Dynamical Systems and Ergodic Theory
      Discrete Time Systems
   Logic and Set Theory
   Number Theory
      Elementary Number Theory
      Elementary Probability

Information and Coding

This is a collection of materials from a first-year seminar at the University of North Carolina, Chapel Hill, which ran fairly regularly from 2000 to 2014. Prerequisites included high-school mathematics, curiosity, and willingness to deal with unfamiliar ideas. The aim was to review the uses of information, coding, and cryptography throughout history, their implications for modern life, and their mathematical underpinnings. These notes supplemented readings from books and news articles.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (624K) 06/12/18