Online JavaScript Calculation Software for A Calculus Tutorial On Triple Integrals

 

 

Online JavaScript Calculation Software

For A Calculus Tutorial On Triple Integrals

 

Created by David Alderoty © 2012

 

To contact the author (David Alderoty) use this

e‑mail address: David@TechForText.com, or left click

on the link below for a website communication form.

 

Link for a Website Communication Form

 

 

This website provides an online calculation device, in the form of a tutorial, which is presented several paragraphs below after the introductory information and instructions.  The tutorial was created primarily for individuals that have studied at least three or four terms of college-level calculus, and know the basic method of solving triple integrals, but need practice to avoid errors, and to increases speed and efficiency with these calculations.

 

 

About The Tutorial Software, on This Website

This tutorial is a software-based calculation device that checks your calculations for each problem, as soon as you enter the numbers you calculated into an input box that relates to the specific problem.  The results calculated by the computer are displayed after you enter the numbers you calculated, for the problem in question.  However, if you want the computer to display all the calculated results, before you enter your calculations, place an X in the green input box several paragraphs below. 

 

      This tutorial was originally created with Microsoft Excel and other software, and it was electronically converted to JavaScript so it will function over the Internet, in a conventional web browser.  However, the spreadsheet formulas, and related code, used to create the tutorial will not function in conventional Excel spreadsheets.  The formulas and code are specialized and were created specifically for this software, but each of the spreadsheet formulas are displayed below each problem, for individuals that are interested in the technical aspects of the software. 

     

      If you are interested, you can obtain the original Excel version of the software by downloading a zipped folder, by clicking on the link presented below.  The zipped folder contains a total of four versions for Excel 2003, and 2007-2010.  Two of the Excel files, with the words Formula-Study, provide direct access to the formulas and code, used to create this software.  (The Excel devices require Windows and Microsoft Excel.)

 

Left click here to download the zipped folder

Remove the software from the folder before you use it

 

STEP-BY-STEP INSTRUCTIONS FOR THIS TUTORIAL

      1) This software is a tutorial designed to help you practice solving triple Integrals.  To use it, enter any numbers you choose, in the two white boxes (located several paragraphs below).  For calculated results, left click on the background, or anywhere outside of an input box.

 

      2) ENTERING NUMBERS: Whenever you enter or delete a number or letter, with any of the input boxes in this software, you must first left click on the input box with the mouse, and then immediately enter or delete the number or letter.  

 

      The software generates 10 math problems with the numbers you enter, in the two white input boxes, several paragraphs below.  Thus, it is best to enter single digit numbers, to avoid difficult arithmetic.  *If you enter more than two digit numbers, you might have calculated results that may exceed the limits of this software, and some of the mathematical expressions. 

     

      *NOTE: the software can actually Handle calculated results up to 20 digits, without any loss of functionality.  When the above is exceeded, the calculation mechanisms cannot distinguish between a correct and incorrect calculation entered by the user.  However, the calculated results performed by the computer are still accurate, and are expressed in scientific notation using the letter e, such as: 1.3440585709080606e+43 or 9.754645346787656e-85.

 

      3) PRACTICE USING DIFFERENT NUMBERS: It is usually best to practice with this tutorial several times, using a different set of numbers, until you get a score of at least 80 or 90 percent.  The software calculates the score automatically.  Keep in mind, each time you enter a new set of numbers, a new set of problems are generated, but the problems remain similar, except for the changes in the values of B and A, such as in   As a result of this feature, the tutorial is ideal for repeat practice.

 

      4) HOW TO SOLVE THE 10 MATH PROBLEMS: To solve the 10 math problems generated by this software, it is usually necessary to use a scientific calculator, as well as pencil and paper.  When you think you have the correct calculated result, enter the number in the white input box that corresponds to the specific problem you are solving.  When this is done, the software checks your calculations.  If your calculations are correct the software will display a message in green type.  If your calculations are incorrect you will see an error message in red type.  Regardless of whether your calculations are correct or not, as soon as you enter them, the software displays the results the computer calculated, (if they are not already displayed), as shown in the following example: 2564257500 = Computer

 

      5) CORRECT AND INCORRECT CALCULATIONS: If your calculations are correct, scroll down until you see the next problem, and solve it.  If your calculations are incorrect, you can try again and/or scroll down until you see two formulas that may help you learn how to solve the problem. 

 

      6) YOUR CALCULATED RESULTS FOR THIS TUTORIAL MUST BE CARRIED OUT TO THE INDICATED NUMBER OF DECIMAL PLACES: Your calculations must be carried out to the exact number of decimal places, indicated by the software.  If the software indicates that you made an error, check to see if your error relates to the above.  If it does, make the required adjustments in your calculation, and proceed to the next problem.  (Incidentally, the user can change a number in a small input box, which will change the required number of decimal places for all the calculations.)

 

 

Additional Information From other Websites

And Internet Videos On Triple Integrals

There many good sources on the Internet that provide instruction on mathematics, and triple integrals.  Videos are especially useful in this regard.  Below, I compiled a short list of websites and videos that provide instruction related to triple integrals.  Some of these sources go beyond what is presented in the tutorial.  You may want to do your own Internet search for additional information with www.google.com. Especially useful are video searches with www.Video.Google.com

 

Words on website: Triple integral examples

http://mathinsight.org/triple_integral_examples

 

Words on video: triple integrals intro

http://youtu.be/H9aBFy0zOJY

 

Words on video: Learn About Triple Integrals - Calculus 3

http://video.answers.com/learn-about-triple-integrals-calculus-3-51067865

 

Words on video:  Evaluating a Triple Integral

www.youtube.com/watch?v=zFy-OpajEtA

 

Words on video:  Learn about Triple Integrals 1

http://www.tvlesson.com/video/91189_learn-about-triple-integrals-1.html

 

Words on video: Triple Integrals 2

www.youtube.com/watch?v=vxQvL_WhBGU

 

Words on video: Triple Integrals 3

www.youtube.com/watch?v=8aA3UVfDhVM

 

Words on video: Triple integrals in Cylindrical and Spherical Coordinates.

www.youtube.com/watch?v=sjU3QrxoKaE

 

Words on video: Evaluating a Triple Integral

http://www.youtube.com/watch?v=zFy-OpajEtA

 

Words on video: How to compute triple integrals

www.youtube.com/watch?v=TzPog2afDUw

 

Words on video: triple integral setup

www.youtube.com/watch?v=TeJh0pkU86o

 

 

NOTE: The above Internet links are not connected with the author this website and THE TUTORIAL PRESENTED BELOW. 

 

For a printer friendly version of the tutorial, without introductory text, left click on these words.

 

   
               
    This software, calculates the value of ten triple integrals, simultaneously as soon as you enter numbers in the white input boxes below, and left click with the mouse.  
     
     
                           
   
   
   
   
   
   
                       
                           
  Enter numbers in the two white input boxes, below:
    B =    
   
                     
    A =    
                            
    The computer calculates the following four values, automatically, with the numbers you entered above.    
       
       
    F =    
   
                     
    E =    
                           
                           
    H =    
   
                     
    G =    
                           
   
   
   
   
           
                           
   
                           
  Scroll down, and solve the following 10 problems.  
                           
               
                           
  Problem 1)
 
 
   
         
         
         
           
      dxdydz =
           
         
         
         
 
 
                           
           
  This is a spreadsheet version of the formula for problem 1 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND((B-A)*(F-E)*(H-G),D)
The following formulas may help you solve problem 1
                           
                           
                           
                           
       
       
               
               
               
    Enter comments in this box for Problem 1  
     
     
     
     
                           
  Problem 2)
 
 
   
         
         
         
           
    xdxdydz =
           
         
         
         
 
 
                           
           
  This is a spreadsheet version of the formula for problem 1 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND(((B*B-A*A)*(F-E )*(H-G))/2, D )
The following formulas may help you solve problem 2
                           
                           
                           
                           
       
     
             
             
             
    Enter comments in this box for Problem 2  
     
     
     
     
                           
  Problem 3)
 
 
   
         
         
         
           
      1+dxdydz =
           
         
         
         
 
 
                           
           
  This is a spreadsheet version of the formula for problem 3 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND( 2*(B-A)*(F-E)*(H-G), D)
The following formulas may help you solve problem 3
     
  		                   
                           
                           
                           
                           
                           
                           
                           
    Enter comments in this box for Problem 3  
     
     
     
     
                           
  Problem 4)
 
 
   
       
       
       
      2    
    x dxdydz = =
           
       
       
       
 
                           
           
  This is a spreadsheet version of the formula for problem 4 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND(((B*B*B-A*A*A)*(F-E)*(H-G))/3, D)
The following formulas may help you solve problem 4
         
       
                 
                 
                 
       
     
             
             
             
    Enter comments in this box for Problem 4  
     
     
     
     
                           
  Problem 5)
 
 
   
       
       
       
      3    
    x dxdydz =
           
       
       
       
 
 
                           
           
  This is a spreadsheet version of the formula for problem 5 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND( ((B*B*B*B-A*A*A*A)*(F-E)*(H-G))/4, D)
The following formulas may help you solve problem 5
                           
                           
                           
                           
       
       
               
               
                           
    Enter comments in this box for Problem 5  
     
     
     
     
                           
  Problem 6)
 
 
   
       
       
       
      2    
    yx dxdydz =
           
       
       
       
 
 
                           
           
  This is a spreadsheet version of the formula for problem 6 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND(((B*B*B-A*A*A)*(F*F-E*E)*(H-G))/6, D)
The following formulas may help you solve problem 6
       
         
                 
                 
     
       
             
             
             
                           
    Enter comments in this box for Problem 6  
     
     
     
     
                           
  Problem 7)
 
 
   
       
       
       
      2    
    zyx dxdydz =
           
       
       
       
 
 
                           
           
  This is a spreadsheet version of the formula for problem 7 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND(((B*B*B-A*A*A)*(F*F-E*E)*(H*H-G*G))/12, D)
The following formulas may help you solve problem 7
         
       
                 
                 
                 
       
     
             
             
             
    Enter comments in this box for Problem 7  
     
     
     
     
                           
  Problem 8)
 
 
   
         
         
         
           
    zyxdxdydz =
           
       
         
         
 
 
                           
           
  This is a spreadsheet version of the formula for problem 8 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND(((B*B-A*A)*(F*F-E*E)*(H*H-G*G))/8, D)
The following formulas may help you solve problem 8
       
       
               
               
               
     
     
           
           
           
    Enter comments in this box for Problem 8  
     
     
     
     
                           
  Problem 9)
 
 
   
       
       
       
      2     
    z(yx) dxdydz =
           
       
       
       
 
 
                           
           
  This is a spreadsheet version of the formula for problem 9 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND( (B*B*B-A*A*A )*(F*F*F-E*E*E )*(H*H-G*G )/18,D)
The following formulas may help you solve problem 9
       
       
               
               
               
     
     
           
           
                           
    Enter comments in this box for Problem 9  
     
     
     
     
                           
  Problem 10)
 
 
   
       
       
       
         2    
    (zyx) dxdydz =
           
       
       
       
 
 
                           
           
  This is a spreadsheet version of the formula for problem 10 (This functions only in a specially prepared interface created with spreadsheet software.)  
   
=ROUND(((B*B*B-A*A*A)*(F*F*F-E*E*E)*(H*H*H-G*G*G))/27, D)
The following formulas may help you solve problem 10
       
       
               
               
               
     
     
           
           
           
    Enter comments in this box for Problem 10  
     
     
     
     
                           
    If you have any comments about this website, enter your statement below, and click on the submit button. When this is done, your comments, the numbers you entered, and the calculated results, will be transmitted to the author.