NPTEL : Mathematics III (Basic Courses (Semester 1 and 2))

Co-ordinators : Prof. P.N. Agrawal, Dr. Tanuja Srivastava


Lecture 1 - Solution of ODE of First Order and First Degree

Lecture 2 - Linear Differential Equations of the First Order

Lecture 3 - Approximate Solution of An Initial Value

Lecture 4 - Series Solution of Homogeneous Linear I

Lecture 5 - Series Solution of Homogeneous Linear II

Lecture 6 - Bessel Functions and Their Properties

Lecture 7 - Bessel Functions And Their Properties (Continued..)

Lecture 8 - Laplace Transformation

Lecture 9 - Laplace Transformation (Continued..)

Lecture 10 - Applications Of Laplace Transformation

Lecture 11 - Applications Of Laplace Transformation (Continued..)

Lecture 12 - One Dimensional Wave Equation

Lecture 13 - One Dimensional Heat Equation

Lecture 14 - Introduction to Differential Equation

Lecture 15 - First Order Differential Equations and Their Geometric Interpretation

Lecture 16 - Differential Equations of First Order Higher Degree

Lecture 17 - Linear Differential Equation of Second Order-Part - 1

Lecture 18 - Linear Differential equation of Second Order-Part - 2

Lecture 19 - Euler-Cauchy Theorem

Lecture 20 - Higher Order Linear Differential Equations

Lecture 21 - Higher Order Non homogeneous Linear Equations

Lecture 22 - Boundary Value Problems

Lecture 23 - Strum Liouville boundary Value Problem

Lecture 24 - Fourier Series-Part - 1

Lecture 25 - Fourier Series-Part - 2

Lecture 26 - Convergence of the Fourier Series

Lecture 27 - Fourier Integrals

Lecture 28 - Fourier Transforms

Lecture 29 - Partial Differential Equation

Lecture 30 - First Order Partial Differential Equation

Lecture 31 - Second Order Partial Differential Equations - I

Lecture 32 - Second Order Partial Differential Equations - II

Lecture 33 - Solution of One Dimensional Wave Equation

Lecture 34 - Solution of HomogeneousNon Homogeneous Equations

Lecture 35 - Fourier Integral Transform Method for Heat Equation

Lecture 36 - Three Dimensional Laplace Equation

Lecture 37 - Solution of Drichlet Problem

Lecture 38 - Numerical Method for Laplace Poisson equation

Lecture 39 - ADI Method for Laplace and Poisson Equation