__A
Software-Based Tutorial on Calculus, With The Hyperbolic Tangent and
Cotangent__

__A
Software-Based Tutorial On Calculus, With The Hyperbolic Functions Tanh And
Coth__

__A
Software-Based Tutorial on Calculus,__

__With
The Hyperbolic Tangent and Cotangent__

__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 contains a tutorial, that functions online, which is presented several
paragraphs below after the introductory information and instructions. The
tutorial is a software-based calculation device, created primarily for
individuals that have studied at least two or three terms of college-level
calculus, or who have acquired an equivalent mathematical background from other
studies. __

__About
the Software-Based Tutorial__

This tutorial is a computer program for the hyperbolic tangent and cotangent. The software 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, and it also presents the numbers the computer calculated. This tutorial was originally created with Microsoft Excel and other software, and it was converted to JavaScript, with specialized software, so it will function over the Internet. 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 several versions for Excel 2003, and 2007-2010. The Excel devices with the words Formula-Study provide direct access to the formulas and code, but they are not usable as tutorials.

**Left click here to download the zipped
folder**

__Remove the software from the folder before you use
it__

**If you want a printer friendly version of the
**

__JavaScript version of the software left click on this
link__

__INSTRUCTIONS
TO USE THIS TUTORIAL__

1) THIS IS A SOFTWARE-BASED TUTORIAL FOR INTEGRALS: This software is a tutorial designed to help you practice solving integrals, involving the hyperbolic functions tanh and coth. 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 a white input box.

2) ENTERING NUMBERS: 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. Excessively large numbers might also exceed the limits of some of the mathematical expressions in this tutorial. However, this software can handle very large and very small numbers, which are displayed in scientific notation, using the letter e, such as: 1.3440585709080606e+43.

To enter numbers, anywhere in this software, left click on a white input box with the mouse, and then immediately enter the number. If there are visible or invisible spaces between the left and right side of the input box, or between the numbers, the software will not function. You should delete these spaces, if they occur.

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, and displays the numbers the computer calculated. 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.

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 internet links for additional
information, which may help you learn how to solve the problem. The
Internet links provided under each problem are to access the __Wolfram|Alpha
computational knowledge engine__, which in some cases can provide step-by-step
solutions to mathematics problems. __The Wolfram| Alpha computational
knowledge engine, is referred to under each problem as the Wolfram Alpha
computer. __

*NOTE: 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.)

**Unless
otherwise noted****,
all the Internet links on this website, including the Wolfram Alpha
computer, are created by different authors or corporate entities, which are
not associated with the creator of this website and the tutorial. Some of
these links may fail because the URLs may be changed by the owners of these
websites. In addition, the information and accuracy of the calculations
provided by these websites are not necessarily perfect. **

6) It may be more efficient and less frustrating for you, if you study the basic formulas you will need to solve the integrals, in the tutorial. The following websites are good sources of information in this regard:

Words on website:
**How to integrate hyperbolic
functions**

http://www.ucl.ac.uk/Mathematics/geomath/level2/hyper/hy7.html

Words on website:
**Mathematics
reference****Rules for
integration**

http://www.alcyone.com/max/reference/maths/integrals.html

Words on
website: **List of integrals of hyperbolic
functions**

http://en.wikipedia.org/wiki/List_of_integrals_of_hyperbolic_functions

Words on
website: **Integration of Hyperbolic
Functions**

**The
6 basic hyperbolic functions are defined by**

http://www.math24.net/integration-of-hyperbolic-functions.html

Words on video
**Hyberbolic Functions -
Integration**

http://www.youtube.com/watch?v=__2dEPn_GkA (Note the above webpage contains several good videos on hyperbolic functions.)

**
If you still need additional information carry out your own Google search:
****www.Google.com****
Especially useful are searches for videos, with ****www.Video.Google.com**

**
**

__Calculated
Results To The Author__

This software has a special feature, for transmitting your comments and calculated results to the author. You can place your comments, in special input boxes provided under each problem, and/or in the large input box above this paragraph. When you press the submit button, all of the comments, and all of the calculated results are transmitted to the author.