6 INTRODUCTION OF ALGEBRA

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A.D.KAUSHIK:

A.D.KAUSHIK K.V. MALKANGIRI. BBSR,ORISSA Date of joining: 14.11.2008

Today’s Task:

Today’s Task Cut out a longest paper strip from the given paper sheet in minimum time .

Result:

Result Length of strips vary from student to student Time is vary from student to student While all of you have same type of paper sheet

Slide 4:

VARY VARIABLE CHANGEABLE (UNKOWN) ALGEBRA IS A BRACH OF MATHEMATICS IN WHICH ARITHMETIC OPERATIONS(+,-,X,/) ARE USING WITH SYMBOLS TO REPRESENT UNKOWN NUMBERS

ALGEBRA:

ALGEBRA There was a scholar in 9th A.D. name Mohammad al-khowarizmi wrote book “the science of transpiration and cancellation” Transpiration-- transfer In Arabic->al-jabr Whence the name Algebra

VARIABLE:

VARIABLE Now AGAIN MOVE TO TODAY’S TASK. . UNKOWN Denoted by literals (X,Y,Z….) EXAMPLE: All of us live in beautiful houses , what can you say about the number of windows in all the houses is it same or vary.

Our nature have variable components:

Our nature have variable components

example :

example Sachin Tendulkar played 432 matches . Did he score equal runs in each match? His score is different in different matches

Slide 13:

Mensuration- construction of buildings Construct three rooms of your house such that length of each room is double of breath and height is three more than the length To solve these types of problem we need to learn algebra Need of algebra

which is variable among them?:

which is variable among them? 1. M aximum Number of mangoes in a basket which have capacity to contain 23 mangoes. 2.Number of mangoes in fruit market 3.Numbers of mangoes in given figure

What about example 1 and 3:

What about example 1 and 3 1. Number of mangoes in a basket which have capacity to contain 23 mangoes. 3.Numbers of mangoes in given figure

Slide 16:

In example 1: number of mangoes are fixed as well as known to us i.e. 23 Same case in example 2: number of mango is 0 Fixed----no change---constants

CALCULATION:

CALCULATION The english word calculation is derived fom the greek word for stone or pebble Degree OF POLYNOMIAL DEGREE IS DERIVED FROM THE GREEK WORLD “DUNAMIS” WHICH MEANS POWER