STATISTICS : STANDARD DEVIATION

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Intorduction of standard deviation ,check this out

WHAT IS CALCULUS ?

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This clip provides an introduction to Calculus. More information can be found at www.cerebellum.com. Orr you can see in this video

HISTORY OF MATHEMATICS

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Keith Devlin gives an overview of the history of mathematics. He discusses how it has evolved over time and explores many of its practical applications in the world.

Originally presented in the Stanford Continuing Studies Program.

Stanford University:
http://www.stanford.edu/

Stanford Continuing Studies Program:
https://continuingstudies.stanford.edu/

Stanford University Channel on YouTube:
http://www.youtube.com/stanford

Whole Numbers, Integers, and the Number Line

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Number systems evolved from the natural “counting” numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line.

he former definition is the traditional one, with the latter definition having first appeared in the 19th century. Some authors use the term natural number to exclude 0 and whole number to include it; others use whole number in a way that includes both 0 and the negative integers, i.e., as an equivalent of the integer term.
to study live you can see in this link

or you can see live in this video

REAL NUMBER

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There are an infinite number of rational numbers, but there are infinitely more irrational numbers. Neither type of number can represent every type of numeric quantity. By combining the rational and irrational numbers into the real numbers, a continuum of numbers is created which can represent any quantity in the real world. to study live you can  check this out in this link

and this video about real number

PERMUTATIONS

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Definitions and Notation Factorial

Factorial notation will be used to study the permutations and combinations.

Factorial

Definition:

The product of all positive integers from 1 to n is called n factorial, and will be given the notation n!. so, n! = 1 x 2 x 3 x … x (n-1) xn or n! = nx (n-1) x … x 3 x 2 x 1, with 1! = 1 and 0! = 1.

 Permutation

Definition:

Preparation of a number of elements permutations are elements – elements in a particular order (the order in the note).
to learn directly you can see that in video here

or you can see live in this video

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