Maxima and minima concept is a very important topic in engineering mathematics. 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
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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
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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. 1. Rolle’s Theorem If a function is continuous in the closed interval a to b, it
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Basic knowledge of matrix algebra is very crucial to solve 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
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Systems of linear simultaneous equations can be solved by two methods: Direct Methods of Solution Iterative Methods of Solutions First of all, we will discuss the direct methods of solution in which the answer is calculated directly without the iterative procedure. And then we will discuss the iterative procedures to solve the equations. We have
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Eigen values and eigen vectors along with its properties are included in the almost every engineering streams. Gate syllabus in India for mathematics also contains the eigen values and eigen vectors. Practicing exhaustive examples will make easier for you to crack competitive exams. But, before that concepts must be clear to solve the problems. In
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The strong base foundation is the key to solve the tough problems in mathematics. This post will teach you the basics of maths with examples and graphs. Basic maths series contains the video tutorial of the topics which are of prime importance to learn before starting to solve the complex or easy problems in mathematics.
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Mathematics is everywhere. It can’t be defined in a single word. It covers the vast topics including quantity, structure, space and time. Almost everything we do in our daily life has some relation with maths. (See more at Wikipedia). It plays with symbols and numbers to prove the existence of theories, shows relations between space
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