If it not be to yer sattersfaction, then be not afraid to speak yer mind.

]]>Aye.

]]>If we are going to have thousands of formulae, then I could create a whole Category (the forum currently has 4 categories: "Learning About Maths", "Fun Stuff", "Teaching Maths" and "Maths Is Fun - The Website")

Then we could have sub-forums under that called "Calculus", "Algebra", etc. This would allow individual topics under Calculus, such as "Basic Integration", or Algebra such as "Laws of Exponents".

This would allow more scope for *some* discussion about a formula, such as definitions, usage, etc.

So I guess the question is: Which alternative?

1. One Sub-Forum called "Formulas" with Topics like "Calculus", "Algebra", etc, OR

2. A Category called "Formulas" with several Sub-Forums like "Calculus", "Algebra", and Topics like "Basic Integration", "Laws of Exponents", etc.

Now, my mind is still circling around this subject. Here are two possibilities:

A: A separate database. We could have a field for typing in the LaTeX, a category, sub-category, decription and author(username).

B. Part of the forum. We could have a sub-forum organised like Ganesh's Puzzles. In other words, create a topic "Calculus Formulae", and then add our posts there (We would want to keep the area "on topic" which means no "hey, nice one!" comments, just formulae and their descriptions, usage, etc)

Oh, and the plural of "formula" may correctly be "formulae", but "formulas" is used more commonly according to GoogleFight: http://googlefight.com/index.php?lang=e … 2=formulas

]]>6. Calculus

Mass of a plate:

Movement around the x-axis:

Movement around the y-axis:

Center of mass on the x axis:

Center of mass on the y axis:

]]>I. Arithmetic Progressions.

An Arithmetic Progression (AP) is a series in which the succesive terms have a common difference. The terms of an AP either increase or decrease progressively. For example,

1, 3, 5,7, 9, 11,....

10, 9, 8, 7,6, 5, .....

14.5, 21, 27.5, 34, 40.5 .....

11/3, 13/3, 15/3, 17/3, 19/3......

-5, -8,-11, -14, -17, -20 ......

Let the first term of the AP be a and the common difference, that is

the difference between any two succesive terms be d.

The nth term, tn is given by

tn= a + (n-1)d.

The sum of n terms of an AP, Sn is given by the formula

Sn = n/2[2a+(n-1)d] or n/2(a+l) where l is the last term (nth term in this case) of the AP.

2. sin²θ + cos²θ = 1

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