Btech Engineering Mathematics-I Tuition Classes

The objective of this course is to familiarize the graduate engineers with techniques in matrix, calculus, multivariate analysis and vector calculus. It aims to equip the students with standard concepts and tools from intermediate to advanced level that will enable them to tackle more advanced level of mathematics and applications that they would find useful in their disciplines. The students will learn: • The essential tools of matrices, Eigen values and its application in a Comprehensive – manner. • To apply the knowledge of differential calculus in the field of engineering. • To deal with functions of several variables that is essential in optimizing the results of real life problems. • To apply integral calculus in various field of engineering and have a basic understanding of Beta and Gamma functions and application of Dirichlet’s integral. • To deal with vector calculus that is required in different branches of Engineering to graduate engineer.

Matrices Tuition Classes

Elementary transformations, Inverse of a matrix, Rank of matrix, Solution of system of linear equations, Characteristic equation, Cayley-Hamilton Theorem and its application, Linear Dependence and Independence of vectors, Eigen values and Eigen vectors, Complex Matrices, Hermitian, Skew-Hermitian and Unitary Matrices, Applications to Engineering problems. Hence, join the best Matices Tuition Classes.

Differential Calculus- I Tuition Classes

Successive Differentiation (nth order derivatives), Leibnitz theorem, Curve tracing, Partial derivatives, Euler’s Theorem for homogeneous functions, Total derivative, Change of variables. Hence, join the best Differential Calculus-1 Tuition Classes.

Differential Calculus-II Tuition Classes

Expansion of functions by Taylor’s and Maclaurin’s theorems for functions of one and two variables, Maxima and Minima of functions of several variables, Lagrange’s method of multipliers, Jacobians, Approximation of errors. Hence, call to join best differential calculus – 2 tuition classes.

Multiple integration Tuition Classes

Double integral, Triple integral, Change of order of integration, Change of variables, Beta and Gama function and their properties, Dirichlet’s integral and its applications to area and volume, Liouville’s extensions of Dirichlet’s integral. Hence, join the best multiple integration tuition classes.

Vector Calculus Tuition Classes

Vector differentiation: Gradient, Curl and Divergence and their Physical interpretation, Directional derivatives. Vector Integration: Line integral, Surface integral, Volume integral, Gauss’s Divergence theorem, Green’s theorem and Stoke’s theorem (without proof) and their applications. Hence, join the best vector calculus tuition classes.