Math 221 – First Semester Calculus. Differential and
Integral calculus of functions of one variable, including trigonometric
functions. Latest version :
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, L
p 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
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 the author's website