The Free Lecture Notes Page
This page contains links to various
mathematical lecture notes or course notes which can be downloaded more
or less freely. For all courses you can download a PDF file with the
notes (which you should do if you just want to read them) or you can
download the source (which you should do if you want to change the
notes.)
- Math 221 – First Semester Calculus. Differential and
Integral calculus of functions of one variable, including trigonometric
functions. Version of 2009:
PDF (2.5Mb)
SOURCE (6Mb)
- Math 222 – Second Semester Calculus.
Methods of integration, Taylor polynomials, complex numbers
& the complex exponential, differential equations, vector geometry and
parametrized curves. Version of 2009:
PDF (1.2Mb)
Source (1.2Mb)
Version of 2008: Source
- Math 725 – Second Semester Graduate Real Analysis.
Lecture notes on Distributions (without locally convex spaces),
very basic Functional Analysis, Lp spaces, Sobolev
Spaces, Bounded Operators, Spectral theory for Compact Selfadjoint
Operators, the Fourier Transform. Version of 2004:
PDF. (1.1Mb)
- Keisler's “Calculus: An Approach Using
Infinitesimals.” This is a calculus textbook at the college
freshman level based on Abraham Robinson's infinitesimals, which date
from 1960. Click
here for Keisler's web page.
- Guichard's Three semester Calculus Book. Used at Whitman
college, includes source in e-plain TEX.
Link to
author's web site.
- Garrett's First Year Calculus. Notes by Paul Garrett used for a
“Calculus Refresher course” at the University of
Minnesota. The author offers both a postscript version of the notes
and a complete TEX file of the notes. Check with
author for copyright.
Link to the author's
website
- Duckworth's Free Calculus Pages.
Extensive Calculus lecture notes available under the Gnu Free
Documentation License. Author has used them at Loyola University
for 1st semester calculus.
Link
to Duckworth's website