BACK: To Gordon's Pitt Homepage
Click category headings to go to that section:
- Calculus
'Good Questions' at Cornell
An NSF-funded project for Calculus education. Includes a wealth of
questions, listed to correspond to the Stewart text, and denoted according
to difficulty (Q = Quick, P = Probing, D = Deep).
- Interactive
Online Math Tests, and Galery of
Multimedia Learning Units.
A wonderful wealth of quizzes and java tutorials on calculus, elementary
functions, elementary algebra, and even minkowski spacetime. Easily
adapted to classroom. Part of the Math Online site at
the University of Vienna website.
NOTE: Math notation will not appear correctly unless viewed on
Internet Explorer.
For those with a bent for programming or developing: It
would be nice if the applet "the graphs of sin, cos, and tan" on this
page also allowed you to use different figures than just the circle;
check out the top slider on the applet "quadratic equations 2" on this
page--it would be great if they had the same thing for higher-order
polynomials; it would be nice if, on the first applet "on the definition
of the derivative" on this
page, you could do different functions; on the applet on this
page it would be nice if you could drag the line to have a different
slope, and also to change the line to some other functions. Also very
cool are the sequence and series calculators on this
page.
- True/False
Math Questions
sometimes surprisingly tricky concept-type questions,
ranging from precalc to calc, also with some prob/stats and other
higher-level math. Very good stuff here. Part of the extensive finite
math and applied calculus resource page at Hofstra University.
- False
math proofs
From internet humor lists (scroll down the page). Useful classroom aids
for things like improper rearrangement of infinite series, forgetting the
constant of integration, and the like.
- Find the Error
Eleven calculus errors (without solutions!). Good for
homework exercises.
- Common
Errors in College Mathematics
By Eric Schecter, at Vanderbilt. Lengthy. Some simplistic stuff, but
also some interesting difficulties with limits and calculus (also has the
answer to some of the errors in the Find the Error link above!) Best
viewed with Internet Explorer.
- Project:
The derivative of an integral
A math-reform type project (with instructor 'answers')
illustrating one half of the fundamental theorem of calculus. Nice
intuitive geometric arguement.
- "20,000
Problems Under the Sea".
A searchable collection of twenty-thousand math problems, culled from
student math journals and competative examinations. Potentially useful
for math teachers.
- Practice
college math placement tests.
Three practice placement tests, one for college algebra, one for
pre-calculus, and one for calculus; from the math department at University
of North Texas.
- "Problems to enjoy"
A repository of math problems with solutions, at the
primary school or high school level, mostly of the number-theory/geometry
flavor.
- Analysis
problems.
Math-grad level exam problems, compiled by Saeed Zakeri, a visiting
professor at Stony
Brook.
- Harvard Physics
Problem of the Week
Fifty-four mathematical problems, at the upper-undergrad level. With
solutions.