Mathematics Education

What is Index Number

noreply@blogger.com (Vinod Kumar (Educator)) — Thu, 18 Mar 2021 01:18:00 +0000

Namaskar dosto, es video mein hm app ko index number samjhane ki koshish ki hai

Motivational Lecture by Maths Teacher for Students (in Simple Hindi)

noreply@blogger.com (Vinod Kumar (Educator)) — Wed, 04 Mar 2015 07:53:00 +0000

Our teacher Respected Subash Ji who is Maths teacher, has given the motivational lecture for students in simple Hindi. Please follow it if you want to get success in the life. This lecture was in Simple Hindi. For your understanding, we are translating this lecture.

1. Today, Indian Govt. is making the employees instead of teachers because Govt. is giving just Rs. 5000 per month for teaching. There is no job security. You can tell, me how can teacher teach with Rs. 5000 per month. Govt. should increases their salary.

2. Second, all the fools are starting to become teacher. They have no interest in teaching. Anyone who fails in Engineering, becomes the teacher. It is so wrong. Such person should not play with the life of students. If your interest in teaching, then, you should choose this profession, otherwise leave this profession.

3. Third, teachers should also teach better without seeing the salary. In every situation, they have to teach because with teaching, teacher gets energy.

How to Calculate Square Root of 5

noreply@blogger.com (Vinod Kumar (Educator)) — Mon, 01 Dec 2014 12:14:00 +0000

Today, you will learn the square root of 5 step by step.

How to Calculate the Square Root of 2

noreply@blogger.com (Vinod Kumar (Educator)) — Mon, 01 Dec 2014 12:08:00 +0000

Today, you will learn the square root of 2 step by step.

How to Find Square Root of 4

noreply@blogger.com (Vinod Kumar (Educator)) — Mon, 24 Nov 2014 10:22:00 +0000

Today, you will learn the square root of 4 step by step.

How to Find Square Root of 3

noreply@blogger.com (Vinod Kumar (Educator)) — Sun, 23 Nov 2014 18:20:00 +0000

Today, you will learn the square root of 3 step by step.

Poisson Distribution Binomial Distribution Relationship

noreply@blogger.com (Vinod Kumar (Educator)) — Thu, 02 Oct 2014 14:27:00 +0000

There is big relationship between poisson distribution and binomial distribution because both are probability distribution. If you know the formula of binomial distribution, you can find poisson distribution because poisson distribution's probability formula derive from binomial distribution's probability formula. Today, I spent more than 3 hours to learn this. Hope, its all benefit will go to you. Just sit, how can we calculate poisson distribution from binomial distribution.

Probability Lecture Videos - Part 3

noreply@blogger.com (Vinod Kumar (Educator)) — Sun, 28 Sep 2014 07:33:00 +0000

Welcome part third of probability lecture videos series. In this video, we will try to solve the probability problem and teach you, how can you also solve same problem.

Probability Lecture Videos - Part 2

noreply@blogger.com (Vinod Kumar (Educator)) — Sun, 28 Sep 2014 07:32:00 +0000

Welcome part second of probability lecture videos series. In this video, we will try to solve the probability problem and teach you, how can you also solve same problem.

Probability Lecture Videos - Part 1

noreply@blogger.com (Vinod Kumar (Educator)) — Sun, 28 Sep 2014 07:31:00 +0000

Welcome part one of probability lecture videos series. In this video, we will try to solve the probability problem and teach you, how can you also solve same problem.

Quadrilateral Shapes and Angles

noreply@blogger.com (Vinod Kumar (Educator)) — Thu, 14 Nov 2013 13:55:00 +0000

In this maths lecture series, we will learn basic principles of quadrilateral shapes and angles. With a simple example, we also teach you to find missing angles of quadrilateral.

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Rank of Zero Matrix

noreply@blogger.com (Vinod Kumar (Educator)) — Thu, 08 Aug 2013 06:53:00 +0000

With following tutorial video, you will learn rank of zero matrix. There is no content of zero matrix in the books. After research, we have found it and we are teaching you, how can you find rank of zero matrix from given matrix.

What are Rational Numbers

noreply@blogger.com (Vinod Kumar (Educator)) — Mon, 20 May 2013 10:25:00 +0000

Rational numbers are p/q and q must not zero. If we divide p with q, result may be in terminating decimal and non-terminating but repeating decimals.

Statistics Analysis

noreply@blogger.com (Vinod Kumar (Educator)) — Tue, 14 May 2013 07:41:00 +0000

Videos on statistics Analysis.

Domain of Function Examples

noreply@blogger.com (Vinod Kumar (Educator)) — Sat, 23 Feb 2013 06:53:00 +0000

Following are main examples of domain of functions :-

1. Find the domain of function :-

f(x) = Square root of - x

For f(x) to be real,

-x >= 0, x=< 0

Df = Set of all real less than or equal to zero.

= (- ∞, 0)

2. Find the domain of

f(x) = 1 / (x-1)

For f to be defined

x - 1 not equal to 0, i.e. x not equal to 1

Domain of function is set of all real numbers except 1

3. Find the domain of

g(x) = log (x - 1)

For f to be defined,

X - 1 > 0 i.e. X > 1

( Because log of a + ve number only is defined )

So, Df is set of all real and greater than 1

4. Find the domain of

f(x) = 1 / (x -1)(x -2)

For Df, f(x) is a real number if x is a real number except 1 and 2

5. Find the domain of

f(x) = - Square root of ( -5 -6x - x^2)

For f(X) to be real

-5 -6x - x^2 >= 0

x^2 + 6x +5 =< 0

x^2 + 6x =< -5

x^2 +6x +9 =< 9-5

(X+3) ^2 =< 4

| x+3| ^2 =< 2^2

| x+3| =< 2

Now,

-(x+3)= < 2

- x -3 =< 2

- x =<5 nbsp="">

x>= -5

(x+3)= < 2

x=<2 nbsp="">

x=< -1

Domain of function Df = { -5, -1}

Same example, you can learn from following video tutorial

Limit to Infinity Examples

noreply@blogger.com (Vinod Kumar (Educator)) — Sat, 23 Feb 2013 06:31:00 +0000

To study the limit to infinity example is obviously a good way to get thorough knowledge of limit. Just learn the rules of reaching solution with one approach is not sufficient. Following examples of limit to infinity will be helpful to learn limit deeply.

1st Example : Find Limit { h^2 / h^3)

h -> ∞

in the denominator, we see highest power h^3. So, we divide h^2 and h^3 with h^3

Lim { h^2 /h^3 / h^3/h^3 )

h->∞

Lim ( 1/ h / 1 )

h->∞

Now, put the value of h

when we put value of infinity in h, we can put unlimited value and it will become zero. Zero divide one will be zero

So answer is 0

We have also given some examples in following video. Watch it and learn. After this, we give some questions.

Evaluate the following limits

1. Lt { ( x+1) (2x+3)}/ (x+2) (3x+4)
x-> ∞

2. Lt (4x^2 +5x+6 ) / (3x^2 +4x +5)
x-> ∞

3. Lt (ax^2 +bx+c) / (px^2 +qx +r)
x-> ∞

4. Lt (1/3 +1/3^2 +1/3^3 + .......... + 1/3^n)
x-> ∞

Find Limit to Infinity

noreply@blogger.com (Vinod Kumar (Educator)) — Sat, 23 Feb 2013 04:24:00 +0000

Infinity is unlimited value which we can use. So, for finding limit to infinity in the any function formula, we can use limitless approaches for reaching best solution.

Limit in Mathematics Explained by Simple Way

noreply@blogger.com (Vinod Kumar (Educator)) — Thu, 21 Feb 2013 16:25:00 +0000

In my school day, I had solved limit questions. That time, I just took the questions of limit and got answers but today, I read it and try to understand what is limit in mathematics. If you are facing my english, I have dubbed it also in hindi which you can see at http://www.youtube.com/watch?v=j3HBxZAFIl4&feature=youtu.be

As per my definition "Limit means to find the solution of function by using many approaches instead of one approach."

Limit in mathematics or limit of function is same.

I am taking a simple example

Lt (X^2-1) / ( x-1 ) = 1 ^2 -1 / 1-1 = 0/0
x-> 1

but it is not correct answer. We have to solve it with other approaches. I am explaining this with an example which you use in daily life. For example, you want to go to mumbai from delhi. Suppose, in the highway, if there is a deffect, then my bus will go to mumbai by following other ways. So, limit tells us the maximum approaches. I will use to reach the best solution.

Function in Mathematics

noreply@blogger.com (Vinod Kumar (Educator)) — Tue, 19 Feb 2013 12:38:00 +0000

In calculus, if you want to learn limit, you should learn function in mathematics. Function in mathematics shows the relationship of set of input with set of output. In general, when we celeberate any part, we invite our relatives and friend in the function. We think with this, our relation will become strong. In mathematics, we also identify our input's real related output. In following video, you will understand the function with examples.

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How to Find nth Term in Geometric Sequence

noreply@blogger.com (Vinod Kumar (Educator)) — Tue, 19 Feb 2013 04:49:00 +0000

Through axr^n-1 , we can calculate the nth term of a G.P. series.

Geometric Progression examples

noreply@blogger.com (Vinod Kumar (Educator)) — Tue, 19 Feb 2013 04:37:00 +0000

With following video tutorial, you will learn geometric progression examples.

Application of Mathematical Series

noreply@blogger.com (Vinod Kumar (Educator)) — Tue, 19 Feb 2013 04:30:00 +0000

We can use Mathematical Series for solving many business problems. For example, we can solve depreciation problems and interest problem. In this video, I have taken one practical example and explained how can we solve salary problem with mathematical sequence

Find Nth Term in Harmonic Progression

noreply@blogger.com (Vinod Kumar (Educator)) — Tue, 19 Feb 2013 04:28:00 +0000

In this visual classroom, we have introduce harmonic progression. We also explained, how will you find the nth term when a series is harmonic progression?

Find Domain of Function

noreply@blogger.com (Vinod Kumar (Educator)) — Tue, 19 Feb 2013 04:24:00 +0000

In following video, By taking an example, we have find the domain of function. Domain of functions are the two value if function of x is real.

Arithmetic Progression Simplified

noreply@blogger.com (Vinod Kumar (Educator)) — Sun, 03 Feb 2013 07:48:00 +0000

When we see different numbers in any sequence, we will calculate the difference of next number and previous number, if the difference will be same, this sequence of numbers will be called arithmetic progression.

for example :

5, 10, 15, 20,.......

In this sequence, we see that difference of 10-5 and 15-10 and 20-15 are same that is 5. So, this progression is arithmetic.

Calculation of nth Term in Arithmetic Progression :-

To calculate the nth term in arithmetic progression is very easy, its formula is

= First number + ( n - 1 ) X difference of terms

= a1 + (n -1 ) d

for example in above example, if we have to calculate 7th term,

7th term = 5 +(7 -1) X 5

= 5 + 6 X 5 = 35 which is correct answer.

We have also made its video, we hope it will be also useful for you.