These notes have been compiled from a large number of sources in order to develop a beginning course in Ordinary and Partial Differential Equations. This course does not require a background in Real, Complex or Functional Analysis so the level is taken to be just beyond calculus, advanced calculus and/or baby reals. This is note intended to be considered as an original text, rather it consists of a compilation of material taken from numerous sources. First of all some of the material was taken from course lecture notes taken by Lawrence Schovanec while a graduate student at Indiana University. In addition, in the early chapters (ODEs Chapters 1 - 5) we have also followed or borrowed material from F. Brauer and J.A. Nohel (Qualitative Theory of Ordinary Differential Equations) and D.A. Sanchez, (Ordinary Differential Equations and Stability Theory: An Introduction) to a large extent. To a lesser extent material has been taken from E.A. Coddington and N. Levinson (Theory of Ordinary Differential Equations), E.A. Coddington (An introduction to ordinary differential equations).
In the Chapters on Partial Differential Equations we have once again taken material from a wide range of sources. One main source is the new edition of G. Folland's book (Introduction to partial differential equations). Material also has been borrowed from E.C. Zachmanoglou and D.W. Thoe (Introduction to partial differential equations with applications). Some of the material came from course notes taken by Lawrence Schovanec from R. Glassey's PDE class at Indiana University. Other sources include R. Courant and D. Hilbert (Methods of Mathematical Physics, Volume I and Volume II), H. Sagan (Boundary and Eigenvalue Problems in Mathematical Physics), S. J. Farlow (Partial differential equations for scientists) and many more.
The first several drafts of these notes were compiled by Lawrence Schovanec. One year they were used, and Chapter 3 was somewhat modified, by Lance Drager. In 1998-1999, David Gilliam continued revising the notes and the results of all these efforts are contained herein. All typographical errors must fall squarely on Dave Gilliam's shoulders as the last one to work on the notes but he will probably try to blame someone else if possible.
The notes are available in Adobe Acrobat PDF format. If you don't have a copy of the Adobe Acrobat Reader required to view PDF files, you can download a copy of the Adobe Acrobat Reader for your machine. The following links can be used to download the PDF version of the lessons that can be viewed and printed using the Adobe Acrobat Reader.