Dr. Tanmoy Chakraborty

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105 videos

Hello friends, I am Dr. Tanmoy Chakraborty, currently working as an Assistant Professor, Department of Mathematics, SRMIST, KTR. I have created this channel ...

Latest Videos

MILNE THOMSON METHOD TO CONSTRUCT ANALYTIC FUNCTION

SOLUTION OF ORDINARY DIFFERENTIAL EQUATION BY LAPLACE TRANSFORMATION

Inverse Laplace Transformation by Convolution Theorem

Lecture 4 Gauss Divergence Theorem

Lecture 3 Green's Theorem and Its Applications

LECTURE 1 GRADIENT, NORMAL VECTOR, DIRECTIONAL DERIVATIVES & ANGLE BETWEEN THE SURFACES

LECTURE 2 Scalar Potential, Divergence and Curl, IRROTATIONAL & SOLENOIDAL

Lecture 5 Finding Area Using Double Integration Cartesian and Polar Coordinates

Lecture 4 Change of Variables Cartesian to Polar Coordinate

Lecture 3 Change of Order of Integration Variable limit case for Multiple Integral

LECTURE 2 MULTIPLE INTEGRALS WITH VARIABLE LIMITS

Lecture 1 Introduction to Multiple Integral, Double Integral

Evaluation of Real Integral Using Residue Theorem Application of Cauchy's Residue Theorem

Cauchy's Residue Theorem and Its Applications

Zeros and Singularities of an Analytic Function with Residue

Taylor's Series and Laurent's Series for complex analysis with solved problems

Cauchy's Theorem and its Applications

Introduction to Complex Integration

Uniform Convergence Abel's Test and Dirichlet's Test for uniform convergence of Series of Functions

Interchange of Limit & Sum I Term by Term Differentiation of Series of Functions

Homomorphism & Isomorphism of Groups I Kernel of a Homomorhism I Theorems and Solved Problems

Recurrence Relation of Legendre Polynomials (Proofs) I Legendre Equation and Legendre Polynomials

Continuity of Sum Function & Term-By-Term integration of a Series of Function I Series of Function

Quotient Group I Quotient Group theorem with Proof I Group Theory

What is a Normal Subgroup I Test for Normality of a Subgroup (Proof) I Solved Problems

How to proof Rodrigue's Formula for Legendre Polynomial I Easiest Proof I Legendre polynomial

What is Permutation Group I Symmetric Group (S3) & Alternating Group (A3) I Abstract Algebra

Legendre Equation & Legendre’s Function of First Kind I Orthogonal Property Proof I Solved Problems

Permutations I Even & Odd permutations I Order of a permutation I Group Theory I Abstract Algebra

Solved Problems of Bessel's Function I Using Recurrence Relations I Special Function