Math 118 Calculus I Applets
(Thanks to Prof. Gene Klotz, Swarthmore College, for collecting many of these.)
DERIVATIVES
- secant
tangent applet
Move the green dot toward the red one to see the secant line become the
tangent. Pull down the menu above the graph for more provocative
examples, or enter your own function, e.g. abs(x). Read the directions
for how to zoom in, etc.
- function,
derivative, integral
Click the Show Derivative box (ignore the integral for now; we'll get
to it later). Then click and hold down on the graph, move it, and see
the derivative change. To start again hit the browser Reload or Refresh
button.
- derivative
puzzles
When you're comfortable with getting the general shape of the
derivative function from looking at the graph of the original function,
play this derivative puzzle game that asks you to match function graphs
with those of their derivatives.
- surfing
for derivatives A neat way to visualize the derivative.
LIMITS
- epsilon-delta
applet
You can read the instructions above the applet shown, then
try it
out. Then go down below it and hit the Launch EpsilonDelta
button. That configuration of the applet has some examples in
the
pull-down menu that are well worth thinking about.
- generating
tables to demonstrate limits Note that the
instructions follow the applet and good examples follow them.
- continuity
applet This applet also allows you to experiment
with the ingredients of the epsilon-delta definition of the limit.
MAX-MIN PROBLEMS
NEWTON'S METHOD