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NCB Deposit  # 15

Dr. David M. Strong
Department of Mathematics
Pepperdine University
Malibu, CA  90263

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Interactive Calculus using Java Applets

Mean Value Theorem

Newton's Method

Numerical Approximation of Integrals

Area as an Integral

This section . . . 

Area under a curve

features derivatives and areas 
for curves plus the link 
to Dr. Strong's interactive 
site.
 


A Brief Review
Mean Value Theorem
Newton's Method
Numerical Approximation of Integrals
Trapezoidal Rule
Simpson's Rule
Area under a Curve
Definite Integral
JAVA logo
plug-in
required!
Dr. Strong's calculus materials supporting classroom instruction are very impressive.  IF YOU have the patience to first download a Java Applet, you, the calculus viewer, are in for a real treat.  Once the free Java plug-in  is downloaded to your computer there will be no need to repeat this process in the future. 
 
PC Users: 

After clicking on the link to Dr. Strong's site, follow  the instructions to download  a JAVA plug-in.  Once installed, you will not have to repeat this operation.  If the speed of your connection is slower, this download will require patience. 

Mac Users: 

The new MAC operating system OS X may not require a special download of the JAVA plug-in   However, Dr. Strong's site will not open on OS 9 or older computers. 

Moreover, we found that this JAVA plug-in works only on Netscape or other Mozilla based browsers. 

Caution sign
     1.

Under "Choose Activity," select which of four Calculus topics you wish to explore.
 
 

Mean Value Theorem

Newton's Method

Numerical Approximation of Integrals

Area of Integral

 

Grapher
2.

Then select a function from the menu.

You may also wish to enter a function from your homework in the blank cells.

Dr. Strong has listed a large number of options from his students' text.
 
 
 

We chose the Mean Value Theorem.

Grapher
3.

We chose to begin by using the traditional parabola with a vertical shift of  - 1.

The options include............

Equation options

 

Grapher
4.

We then entered two points. 
 

The slope of the tangent, or if the case maybe, the secant parallel to the tangent, is the same as the first derivative.
 

Grapher
5.











Please note the "mean value" for the function between  a = 2  and  b  =  3 was calculated by the software and appears on the screen.

Grapher

The link to Dr. Strong's Site:

http://math.pepperdine.edu/~dstrong/CalculusProgram

The NCB also recommends a second Calculus web site.
< http://math.hws.edu/javamath/config_applets/index.html >



 
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