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.)
The Wisconsin Calculus Text.
The calculus text that was used in math 221/222/234. The pdf files for this
current semester are posted at the UW calculus
The source for the text is posted on github.
Older, obsolete versions are posted below:
Math 221 – First Semester Calculus. Differential and Integral
calculus of functions of one variable, including trigonometric functions. PDF (2.5Mb) Source (8Mb)
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):
— Older versions:
2010 (source) (2.7Mb),
The chapter on complex numbers from the 222 notes above.
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
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 Infinitesimals.” This
is a radically different 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 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
Link to the author’s website