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 is used in math 221/222/234. The pdf files for this current semester are posted at the UW calculus student page. 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 parametrized curves.
— Version of 2011 (including additions by Arnie Miller): PDF (1.3Mb) Source (2.7Mb)
— Older versions: 2010 (source) (2.7Mb), 2009(source) (2.7Mb).
Complex numbers.
The chapter on complex numbers from the 222 notes above. PDF (256kb)

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: 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 copyright. Link to the author’s website