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 234 – Third Semester Calculus. Under construction. |
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 T_{E}X. 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 T_{E}X 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 |