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.
Integral calculus of functions of one variable, including trigonometric
functions. Latest version :
Math 222 – Second Semester Calculus.
Methods of integration, Taylor polynomials, complex numbers & the
complex exponential, differential equations, vector geometry and
— Version of 2011 (including additions by Arnie Miller): PDF
— Older versions:
The chapter on complex
numbers from the 222 notes above.
Math 234 – Third Semester Calculus. Under construction.
Math 725 – Second Semester Graduate Real Analysis.
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
Version of 2004: the PDF file
(due to a tragic hard drive failure the Latex files are no longer available.)
Version of 2008: Latex files (.zip file)
(Diane Reppert retyped the manuscript — thanks!)
Keisler's “Calculus: An Approach Using
This is a radically different calculus
textbook at the college freshman level based on Abraham Robinson's
infinitesimals, which date from
for Keisler's web page.
Guichard's Three semester Calculus Book.
Used at Whitman college,
includes source in e-plain TEX
Link to the
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
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.
to the author's website