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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

contact


William Faris
University of Arizona
Reference #
OMN:202101.111284

Attributes

Posted date
2021-02-22 22:37:33
Revised date
2021-02-22 22:37:33
Level
   Undergraduate
Notes type
   Standard Course Offering
Topic
   Differential Equations
      Linear Partial Differential Equations
      Nonlinear Partial Differential Equations

Lectures on Partial Differential Equations

This is an undergraduate course on partial differential equations. It treats classical equations: translation, wave, diffusion, Laplace, Schrodinger, along with non-linear variants. Classical techniques include methods for explicit solutions, Fourier series and transforms, spherical harmonics, and Green's functions. Applications topics are varied: conservation laws, Einsteins's formula for diffusion, recurrence and transience, reaction-diffusion, gas dynamics and sound speed.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (556K) 02/22/21