Math 1a -
Introduction to Calculus
Definite Integrals: Here is a
integration applet which demonstrates how one can approximate a definite integral
using left- and right-hand sums. The applet allows you to input a function, interval
of integration (x0 to xn), and number of sub-intervals. You can
also see three other approximation techniques. The midpoint technique we have seen;
the trapezoid and Simpson's Rule techniques you will see in Math 1b.
similar applet, and here
is a Quicktime movie demonstrating the second applet.
You might find this Newton's
Method applet useful.
It demonstrates Newton's Method graphically for a certain function. You get to
select the inital guess. The applet was written by
Dan Sloughter of the
Furman University Mathematics Department.
Definition of the Derivative:
Here is a tangent
that is designed to help you see how the two different versions of the definition
of the derivative relate
to tangent and secant line slopes.
Transformations of Functions:
The National Library of Virtual Manipulatives for
Interactive Mathematics has a
that is useful
for visualizing transformations of functions. One can graph a function like
f(x) = a | x | + b, then use sliders to vary the
and b and see what effect they have on the graph of the function.
Visual Calculus is a
of calculus tutorials developed by the University of Tennessee, Knoxville, Mathematics
You may find some of the tutorials helpful as you study, particularly the ones featuring
Reading Your Textbook:
As part of his Math Warm-Up Series talk on using math help resources effectively, Dr. Bruff
prepared this handout on tips for reading a
math textbook. You might find it useful as you read your textbook before class each day.
In his Math Warm-Up Series talk, Dr. Bruff also discussed how to get the most out of your instructor's
office hours. Here's a summary of that discussion. There
are a lot of good reasons to visit your instructor's office hour, and you should make a point to stop
by at least every other week.
There are two shelves of precalculus and calculus textbooks on reserve in the Cabot
Science Library. Look for them near the reference desk on the first floor. You
might find them useful as precalculus review or supplemental reading.
Here's a list
of some of the textbooks on these shelves.
Math Question Center: The Math Question Center (MQC) is open for business.
If you have a question about your homework or just want to find some fellow students with
whom to study, the MQC is a great place to go. The MQC is staffed by the calculus CAs who
are there to help you with the course material. See the
MQC Web Site for more information.
Page maintained by Derek Bruff
Last updated on
December 13, 2004.