MATH 1712 Survey of Calculus:
Maple Explorations
Here you will find a collection of Java explorations designed to help
you in your studies. The following online resourses were written with this
course in mind.
- Since Java applets are very powerful and very popular in
interacting and animating demonstrations, you may find them
interesting.
There are some excellent sites where you can find tutorials on Java
applets. Certainly the most famous site is the Java's inventor
JavaSoft. In the School of
Mathematics, Georgia Tech,
Professor Carlen
maintains a very nice page
Java
Applets for Calculus. If you are interested in the application
of Java Applets in Calculus, be sure to visit it.
- Plotting lines:
This
Java project (external link) can plot lines but it requires axes
fixed at the center of the window and do not represent any values of
x or y.
- Continuity for functions of one variable:
This applet is designed for experimenting with the
"epsilon-delta" definition of continuity, and with quantitative
measures of continuity.
- Tangent lines to graphs of a single variable:
This applet is designed for experimenting with tangent lines and
the linear approximation to a function.
- Secant lines and their relation to tangent lines for graphs
of a single variable:
This applet is designed for experimenting with secant lines and
the secant line approximation to the tangent.
- Plotting Functions: This
Java project is for plotting functions which do not have
singularities and the axes are fixed at the center of the window and
do not represent any values of x or y.
- Integrator: Go to Wolfram Research to try the
integrator (external
link). But don't use it to do your homework which requires you
to illustrate step by step.
- Riemann sums:
This applet(external link) allows the user to choose
various functions and values of dx.
- Riemann sums for integrals of a single variable:
This applet is designed for experimenting with Riemann Sums and
with numerical integration. It can be used to check the results of
a computation of a definite integral.
- Lagrange multipliers method for solving constrained
optimization problems:
This applet is designed for experimenting with the tangency
condition that is the basis of the Lagrange multipliers method.
- Two dimensional integration in Cartesian coordinates with
Riemann sums:
This applet on this page is designed for experimenting with
Cartesian integration in two dimensions.
Last Modified:
.
School of Mathematics,
Georgia Institute of Technology.
