Engineering Mathematics

(Hindi) Engineering Mathematics 1: Determinant and Adjoint of Matrix

This course covers the explanation of the concept related to the Determinant value of the square matrix, Properties of Determinant, Trick of calculating Adjoint, Trick of calculating the inverse of a matrix and questions related to it.


How to calculate Rank of Matrix, Properties of Ranks, Echelonform Method of calculating Rank, System of Liner Equation, Lineraly Dependent and Independent Vectors, Basis


This course discusses Eigen Values and Eigen Vectors and its Properties in detail.


This Course discusses Probability and Statistics lessons for GATE aspirants. The topics discussed are Basics, Additive Theorem, Conditional Probability, Bayes Theorem, Random Variable, Mean or Mathematical Expectations, Variance, Binomial, Poisson, Normal, Exponential and Uniform Distribution.


This course discusses about dDfferential Calculus, Limit of a function at a Point, Some Standard Limits, Continuity and Derivativity of a function at a point, Rolles Theorem, Lagranges Mean Value Theorem, Canchys Mean Value Theorem, Taylor Series etc.




This course will cover local Maxima and Local Minima, Global Maxima & Minima, Maxima and Minima of two Variable Function, Examples and Problem Practice.


This course discusses about integration by parts, gamma function, beta function, total derivative, chain rule in partial differentiation, homogeneous function, Euler's theorem.


This course discusses Calculus and its topics such as Area Bounded by the Curves, Physical Meaning of Double and Triple Interegation, Shortcut Tricks, Changing order of Integration, Change of Variable, Jacobian, Length of the Arc, Volume of Solid Revolution of the Arc and others



This course discusses the basics, Gradient, Divergent, Curl, Their Properties, Examples, Greens Theorem, Stokes Theorem, Gauss Theorem and lots of problems on Vector Calculus.


Through this course, Abhinandan discusses Differential Equations and its related problems. He takes you through topics like Order and Degree of D.E, the formation of D.E, solving D.E, Variable-Separable Method etc.


Fourier Series, Laplace Transforms, Unit Step Function, Formulas, Shifting Rules, Multiplication by tⁿ, Initial Value Theorem, Final Value Theorem


This course discusses Complex Variables such as Analytical Function, Canchy-Rueman Theorem, Milne Thomson Method, Lanrent Series Expansion, Residue, Cauchy's Theorem, Cauchy's Interigal Formula, Cauchy's Residue Theorem and Jordans Theorem


This course discusses about solution of linear equation, numerical solution of differential equation, solution of non-linear equation and numerical integration.

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