The post Measures of Central Tendency | Video Tutorials in Hindi appeared first on mswebtutor.

]]>Measures of central tendency find the central value of the data points. The central value of the data points can be measured by mean, median and mode. We will discuss each term one by one with the help of the video lectures.

Mean of the data points is the average value of the given data. Mean is calculated by taking the sum of the data points divided by the total number of points. We can calculate the mean for the frequency distribution as well as for grouped data. Watch the given video tutorial to learn about the mean.

Median is the mid value of the given data. To calculate the median, arrange the data points in ascending order and then find the mid value of the data. Hence, the median is the middle term if n is odd and average of two middle terms if n is even because for even number of data points there are two middle terms. Where n is the total number of data points. We have a separate formula to find the median for grouped data. Watch the video lecture given below to learn about the median.

Variables which occurs most frequently is called the mode value. i.e value of the maximum frequency. For grouped data, we have a separate formula to calculate the mode value and we have explained it with the help of the video lecture given below. Watch it to grab the topic efficiently.

We can calculate the mean for the grouped data by using the mode and median values of the data. First, we calculate the median and mode for the given data and then by using the formula we calculate the mean value of the data. Learn it through the video tutorial below.

That is all for this post. Contact us for any doubts and queries or comment on the comment section below and we will answer ASAP.

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]]>The post Complex Number – Video Tutorials in Hindi appeared first on mswebtutor.

]]>In this post, we will discuss the basics of the complex number, representation of complex numbers on the complex plane, polar and Euler form, and the triangle inequality. In each video lecture, we have discussed the examples along with the concept to illustrate each topic effectively.

A number which can be expressed as (x + i y) is called the complex number. Where x is the real part of the complex number, y is the imaginary part of the complex number and i is the square root of -1. We denote the complex number by letter z. we represent complex numbers on the complex plane or Argand plane and the diagram is called Argand diagram. With the help of the Argand diagram, we can find the argument as well as the modulus of the complex number. Watch the video lecture to learn about the complex number and its representation on the complex plane.

When we express the complex number in terms of its direction and modulus value, we get the polar form. And when we express the complex number in the exponential form, we get the Euler form. We denote modulus of a complex number by r and direction by symbol theta, where theta is the angle made by complex number with the real axis. Watch the video lecture to grab the topic of the polar and Euler form of a complex number.

We know that, for any triangle, one side cannot exceed the sum of the other two sides. This concept is used to derive the triangle inequality in the complex number. Watch the topic through the video lecture given below.

That is all for this post. You can ask your doubts through the comment section below or by contacting us. We will try to reply as soon as possible.

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]]>The post Laplace Transform | Video Tutorials in Hindi appeared first on mswebtutor.

]]>Laplace transform is an important chapter in higher engineering mathematics. Laplace transform gives the solution of the differential equation with boundary conditions without finding the general solution and arbitrary constants. It is also used to evaluate the integrals. Video lectures given below will teach you the concepts of Laplace transform which will be very helpful to solve questions related to it in your exams.

In this video tutorial, we will learn about the definition of Laplace transforms, first shifting property, transforms of some elementary functions, linearity property, change of scale property, and transforms of periodic functions. These topics cover the basics of the Laplace transform. Watch the video lectures to get the basic concepts of Laplace transforms.

Inverse Laplace transform gives the value of the function from its L

In this video tutorial, we will discuss the Laplace transform of derivatives. We will find the Laplace transform of first, second and third derivative and then we will find the general formula of nth order derivative. We will also solve one differential equation by using the formula of Laplace transform of derivatives because solving the questions always make the concept clear. Watch the video tutorial attentively to grab the concept thoroughly.

In the next video tutorial, you will learn about the L

We can also solve the integrals by comparing it to the main Laplace transform Formula. In the next video, we have discussed this concept with the help of an example. Watch this lecture and repeat the video until you grab the concept.

That is all for this post. Reach out to us for your doubts and queries through

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]]>The post Linear Differential Equation – First Order | Video Tutorials in Hindi appeared first on mswebtutor.

]]>The linear differential equation of the first order is also called the Leibnitz’s linear equation. We will discuss two forms of Leibnitz’s linear equation, one as an equation in y and other as an equation in x. We will also learn to reduce Bernoulli’s linear differential equation to Leibnitz’s form.

The Linear differential equation is one of the most common topics in the gate exam syllabus. You can expect at least one question related to this topic every year. Hence, y

Linear differential equation in y is called Leibnitz’s equation in y and Linear differential equation in x is called the Leibnitz’s equation in x. We solve both types of the equation by calculating the integrating factor first. Watch the given video lecture attentively to learn to solve the Leibnitz’s linear equation. We have also discussed the example question to make the topic more clear.

Bernoulli’s differential equations are the types of the equation which are easily reducible to Leibnitz’s linear equation. After reducing to Leibnitz’s form, we can easily solve the Bernoulli’s differential equation. In the next video, we will learn to solve Bernoulli’s differential equation with the help of an example. Examples make the video more clear, hence, we try to solve at least one example related to each topic in every video lectures.

That is all for this post. We will keep posting the questions on this topic on our next videos. You can suggest the types of questions that should be discussed in our next video by contacting us. You can ask your queries and doubts through the comment section below or by contacting us through our contact us page and we will answer them ASAP. Keep motivating us by giving positive comments and feedbacks. Your suggestions and feedbacks always help us to make our video better and better.

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]]>The post Gradient, Directional Derivative, Divergence, and Curl of Function in Hindi appeared first on mswebtutor.

]]>In this section, we will learn about the Gradient, Directional Derivative, Divergence, and Curl of a function. Each topic is covered with the help of video lectures and each topic has an example question to make the concept crisp and clear.

The gradient of a scalar point function at a particular point is normal at that point. We calculate gradient vector by multiplying del vector and scalar function. There can be two normals to the curve at a point, one is outward and another is inward. Normals can be calculated with the help of the gradient formula. Watch the given video tutorials to learn the gradient of the function.

Directional derivative is the projection of the gradient vector along the given vector. Hence, the maximal directional derivative of the scalar field is in the direction of the gradient vector itself. Also, the gradient vector gives the maximum rate of change of function. Watch the given video lecture to learn the concept of directional derivative.

We calculate divergence of a function by takin dot product of

We find the curl of a vector point function by cross multiplying the del vector and vector function. Learn this concept with the help of an illustrative example with the help of the video lecture given below.

That’s all for this section. Watch the video lectures on repeat mode to grasp the topic thoroughly. Comment on the page or contact us for any queries or doubts and we will answer them ASAP. You can also suggest the topics to be covered on our next videos by contacting us.

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]]>The post Linear Differential Equation (Constant Coefficients | nth order) in Hindi appeared first on mswebtutor.

]]>Differential equation with constant coefficients and degree of higher order derivative equal to one is called Linear differential equation. We can solve the linear differential equation with constant coefficient by breaking its solution into two parts. First part is called complementary function and second part is called particular function.

Complementary function (C.F) is the first part of the solution of the linear differential equation with constant coefficients. We can write the equation as F(D)*y = Q, where Q is the function of X. If we assume the value of Q to be zero, then the solution obtained is called the complementary function. The solution can be written as Y = C.F + P.I, Where C.F is the

We have included one example problem on finding the complementary function of the linear differential equation with constant coefficients to make the topic more clear. Watch the video tutorial to understand the example’s solution. Before watching this video, make sure that you have already watched the theory explained in the previous video.

The complete solution of differential equation can be expressed as Y = C.F + P.I . We have already discussed finding the complementary function and in this section, we will learn to find the particular integral. If you have not watched the previous videos on this topic, please watch them before proceeding to the next video because every next topic is connected to previous videos. The method to find the P.I varies according to the values of Q. We will discuss a number of cases and their method of solution. Watch the video tutorial to learn about finding the particular integral.

We can solve the Cauchy’s homogenous linear differential equation by reducing it to constant coefficients form. In the next video tutorial we will teach you to solve caucy’s equation by reducing it to constant coefficients equation.

That is all for this section. If you have doubts, ask us by commenting or filling the contact form on contact us page. We will answer all your querise ASAP.

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]]>The post Maxima and Minima of Function of Two Variables in Hindi appeared first on mswebtutor.

]]>A function of two variables can have maxima, minima, saddle point or nothing. Two variable functions have 3-dimensional graphs and hence its maxima or minima will look like the peak of the bowl. Saddle point looks like the saddle in the back of the horse. For estimating the maxima and minima first we find the points at which these cases are possible and for that, we need to know the partial derivatives of the function. So, first of all, we will learn the partial derivatives of the function and then we will learn the working rule to find the maxima, minima, and the point of the saddle.

If we have the multivariable function, we can differentiate it with respect to one variable at a time keeping other variables constants and this is called as the partial derivative of a function with respect to a particular variable. We can differentiate the function multiple times with respect to a particular variable keeping other variables constant and this is called the multiple derivatives of the function. Watch the video lecture to understand the partial derivative concept.

To find the maxima and minima of the function, first, we differentiate it with respect to both the variables ( say x and y) independently and equate it to zero. In the second step, we solve the simultaneous equations in x

That is all for this section, repeat the video to grasp the concept and ask your doubts and we will answer them ASAP.

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]]>The post Taylor and Maclaurin Series Video Tutorials in Hindi appeared first on mswebtutor.

]]>Taylor and Maclaurin series is very useful in higher engineering mathematics. We can expand functions like exponential, sine and cosine functions. Functions can be approximated up to certain terms of Taylor and Maclaurin series. of course, there will be some error in truncated series but that error can be minimized by considering more number of terms. We will discuss the Tayor as well as Maclaurin series with the help of video lectures.

Expansion of function up to n terms is called Taylor’s Theorem. If n tends to infinity, we will have an infinite number of terms and then the theorem is called a series. We can expand a function about any point using Taylor series. Watch the video lecture attentively to learn the use of Taylor series. We have also discussed the examples to make you understand the concepts easily.

If function contain a definite number of terms (say n terms), it is called Maclaurin theorem and if n tends to infinity, the theorem is called Maclaurin series. Maclaurin series is also called the Taylor series expansion about x = 0. With the help of the Maclaurin series, we have expanded various functions like sine, cosine, and exponential functions. Watch the video tutorial to learn this topic.

Keep revising the concepts by doing exhaustive examples. We will add more examples on Taylor and Maclaurin series on our later videos. If you do not get the topic, watch the video lectures repeatedly until you grab the concepts. Practice makes the student smarter, hence, practice as much questions as you can.

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]]>The post Rolles, Mean Value, Cauchy’s Mean Value Theorem in Hindi appeared first on mswebtutor.

]]>One by one we will discuss each theorem with the help of video tutorials. Rolle’s Theorem, Lagrange’s Mean Value Theorem, and Cauchy’s Mean Value Theorems are related to each other. Watch each video attentively to understand each theorem completely.

If a function is continuous in the closed interval a to b, it is differentiable in the open interval a to b, and function values are same at the

Lagrange’s Mean Value Theorem is derived from Rolle’s Theorem. If a function is continuous in a given closed interval, and it is differentiable in the given open interval. Then there is at least one value of c, between the given interval, tangent at which is parallel to the line joining endpoints of the interval. Watch the video lecture to grab this concept.

Cauchy’s Mean Value Theorem is the extension of the Lagrange’s Mean Value Theorem. If two functions are continuous in the given closed interval, are differentiable in the given open interval, and the derivative of the second function is not equal to zero in the given interval. Then there is at least one value of c between the given interval such that the ratio of the difference of the function values at the endpoints of the first function to the second function is same as the ratio of the slope at c of first to the second function. See the video tutorial to learn it visually.

We will keep updating this post over time, so keep checking this post for the latest updates. If you have any queries, comment us or visit contact us page to reach out to us and we will clear your doubts in no time.

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]]>The post Matrix Algebra – Higher Engineering Maths in Hindi appeared first on mswebtutor.

]]>Basic knowledge of matrix algebra is very crucial to solv the complex problems related to it. For example, solving systems of linear equations, checking the dependence of equations etc. Matrix algebra is the common topics for various competitive exams and deep understanding of this topic will definitely help you score more in your exams.

In matrix algebra section, we will explain to you the various topics with the help of video tutorials. We also discuss the examples related to each

Matrix multiplication is multiplying the one matrix to another. There is some basic rule for it. Two matrices can only be multiplied if the number of columns of the first matrix is equal to the number of rows of the second matrix. And, the order of the resultant matrix is equal to the number of rows of the first matrix by the number of columns of the second matrix. We have explained it with an example in the given video lecture.

Rank of a matrix is a very important topic in matrix algebra. With the help of the rank of the matrix, we can say whether equations are dependent or not. We can also check whether systems of equations have unique solutions, infinite solutions or no solutions. Elementary row operations don’t change the rank of matrix hence, we can find the rank by Gauss elimination steps. After Gauss elimination steps the number of non zero rows gives the rank of the matrix. Let’s understand this concept with the help of a video lecture.

The inverse of the matrix can be calculated by various methods. Gauss Jordan Method is one of the important methods to find the inverse. The inverse of a matrix does not exist if the matrix is singular. In this method, we follow Gauss

We will keep adding the video lectures of the other remaining topics, so keep visiting the website for the updates.

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