Both students and teachers of undergraduate mathematics courses are likely to find some useful insights on this Web site. As the old saying goes, it is best to hear things straight from the horse's mouth; indeed, The Most Common Errors in Undergraduate Mathematics was compiled by a math professor at Vanderbilt University. It contains many observations about unwarranted generalizations, algebra...

E. Lee Lady, a professor in the Department of Mathematics at the University of Hawaii, authored these notes to help students learn how to use, not just understand, the concepts of calculus. A total of fifteen topics are covered and include max-min problems, exponential growth, and the derivation of Kepler's second law. The materials are available in DVI, .pdf, or Java versions. Each topic can be...

High school or college students taking an introductory trigonometry course may find this site useful. Three modules comprise the site, and each provides an overview of basic concepts. Some of the most common trigonometric identities are explained and illustrated in example problems. Each module is accompanied by an interactive set of problems that test the user's understanding of the concepts....

Math students will find this online textbook to be a valuable study aid to complement their lecture notes and standard class text. It is intended to help students, especially those majoring in mathematics, make the transition from standard math classes to more rigorous, advanced topics and abstract theory. Spanning over 200 pages, the text covers "basic set theory, induction, quantifiers,...

This online tutorial is intended for college students taking an early course in mathematical optimization or linear differential equations. Although it is written by a professor of economics, little economic theory is presented. This keeps the material centered on the mathematical aspects of optimization and differential equations, which have a wide range of scientific applications. The text is...

The Institute for Pure and Applied Mathematics (IPAM) at UCLA seeks to "make connections between a broad spectrum of mathematicians and scientists, to launch new collaborations, to better inform mathematicians and scientists about interdisciplinary problems, and to broaden the range of applications in which mathematics is used." The website provides information on the institute's programs and...