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Math Xb -
Introduction to Functions and Calculus II
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Here is a numerical 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. You will study these other three techniques in Math 1b. And here is another, 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.
There is an online graphing tool that you might find useful as we study geometric sums and series. Go to the WWW Interactive Mathematics Server, and click the Browse link next to the search form. Then click on "By subject," followed by "calculus," followed by the "tools" link next to "series." Finally click on "Sequence plot." (Unfortunately, there's not a direct link.)
The Math Xa Web site is still available. You might find the solutions and review session videos posted there helpful this semester.
Visual Calculus is a collection of calculus tutorials developed by the University of Tennessee, Knoxville, Mathematics Department. You may find some of the tutorials helpful as you study, particularly the ones featuring animations.
Page maintained by Derek Bruff
(bruff@fas.harvard.edu).
Last updated on April 20, 2004.
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