Teaching Activity
Institute of Smart Structures and Systems [ISSS] Lecture Series
Series Solution of Differential Equations & Special Functions
Class 1: Introduction & Prerequisites
Class 2: Examples of Series Solution of some Simple [1st & 2nd order] Differential Equations
Class 3: Ordinary Point, Regular Singular Point, Essential Singular Point, Frobenius Method
Class 4: Examples of Series Solution at Ordinary Points [Part-1]
Class 5: Examples of Series Solution at Ordinary Points [Part-2]
Class 6: Frobenius Method - Series Solution at Regular Singular Points [Part-1]
Class 7: Frobenius Method - Series Solution at Regular Singular Points [Part-2]
Class 8: Legendre's Equation - Legendre Polynomials [Part-1]
Class 9: Legendre's Equation - Legendre Polynomials [Part-2]
Class 10: Legendre Polynomials - Rodrigues' Formula
Class 11: Legendre Polynomials - Generating Function
Class 12: Legendre Polynomials - Recurrence Relations
Class 13: Legendre Polynomials - Potential in Inverse Square Forces
Class 14: Legendre Polynomials - Orthogonality
Class 15: Legendre Polynomials - Normalization & Legendre Series
Class 16: Associated Legendre Function, Spherical Harmonics
Class 17: Bessel Function: of First Kind
Class 18: Bessel Function: of Second Kind
Class 19: Bessel Function: Graphs and Zeros
Class 20: Bessel Function: Generating Function
Class 21: Bessel Function: Recurrence Relations
Class 22: Bessel Function: Orthogonality, Normalization and Bessel Series
NPTEL Tutorials
Calculus of Several Real Variables
Tutorial 0: Assignment_0 of 2021 Course
Tutorial 1 : Assignment_1 of 2021 Course [ Vectors and Matrices ]
Tutorial 2: Assignment_2 of 2021 Course [Functions of several variables and partial derivatives]
Tutorial 3: Assignment_3 of 2021 Course [ IFT, Taylor’s Theorem, Maxima and Minima ]
Tutorial 4: Assignment_4 of 2021 Course [ Lagrange Multiplier Rule ]
Tutorial 5: Assignment_5 of 2021 Course [ Multiple Integrals ]
Tutorial 6: Assignment_6 of 2021 Course [ Line Integrals ]
Tutorial 7: Assignment_7 of 2021 Course [ Surface Integrals and Green’s Theorem ]
Tutorial 8: Assignment_8 of 2021 Course [ Strokes Theorem and Gauss Divergence Theorem ]
Youtube Lectures
A Course on Classical Mechanics
Class 2: Survey of Elementary Particles [Thoeory] [Topic: Mechanics of System of Particles (Part-1)]
Class 3: Survey of Elementary Particles [Thoeory] [Topic: Mechanics of System of Particles (Part-2)]
Class 4: Survey of Elementary Particles [Thoeory] [Topic: Mechanics of System of Particles (Part-3)]
Class 5: Survey of Elementary Particles [Thoeory] [Topic: Idea of Constraints]
Class 9: Survey of Elementary Particles [Thoeory] [Topic: Velocity dependent potentials]
Class 15: Lagrange's Equation [Problems] [Topic: Problems on Lagrangian Equation of Motion (Part-1)]
Class 16: Lagrange's Equation [Problems] [Topic: Problems on Lagrangian Equation of Motion (Part-2)]
Class 17: Lagrange's Equation [Problems] [Topic: Problems on Lagrangian Equation of Motion (Part-3)]
Institute TA Duty
PHY 101 AA : Physics Laboratory [December 2021 - March 2022]
PHY 101 A : Physics Laboratory [July 2021 - November 2021]