Mathematics - III

Mathematics - III
Lecture Series on Mathematics - III by Prof.P.N.Agarwal, Department of Mathematics, IIT Roorkee.
Mod-1 Lec-1 Solution of ODE of First Order and First Degree
Mod-1 Lec-2 Linear Differential Equations of the First Order and Orthogonal Trajectories
Mod-1 Lec-3 Approximate Solution of An Initial Value
Mod-1 Lec-4 Series Solution of Homogeneous Linear Differential Equations-I
Mod-1 Lec-5 Series Solution of Homogeneous Linear Differential Equations-II
Mod-1 Lec-6 Bessel Functions and Their Properties-I
Mod-1 Lec-7 Bessel Functions And Their Properties-II
Mod-1 Lec-8 Laplace Transformation-I
Mod-1 Lec-9 Laplace Transformation-II
Mod-1 Lec-10 Applications of Laplace Transformation-I
Mod-1 Lec-11 Applications of Laplace Transformation-II
Mod-1 Lec-12 One Dimensional Wave Equation
Mod-1 Lec-13 One Dimensional Heat Equation
Mod-2 Lec-1 Introduction to Differential Equation
Mod-2 Lec-2 First Order Differential Equations and Their Geometric Interpretation
Mod-2 Lec-3 Differential Equations of First Order&Higher Degree
Mod-2 Lec-4 Linear Differential Equation of Second Order-Part-1
Mod-2 Lec-5 Linear Differential equation of Second Order-Part-2
Mod-2 Lec-6 Euler-Cauchy Theorem
Mod-2 Lec-7 Higher Order Linear Differential Equations
Mod-2 Lec-8 Higher Order Non Homogeneous Linear Equations
Mod-2 Lec-9 Boundary Value Problems
Mod-2 Lec-10 Strum Liouville boundary Value Problme
Mod-2 Lec-11 Fourier Series-Part-1
Mod-2 Lec-12 Fourier Series-Part-2
Mod-2 Lec-13 Convergence of the Fourier Series
Mod-2 Lec-14 Fourier Integrals
Mod-2 Lec-15 Fourier Transforms
Mod-2 Lec-16 Partial Differential Equation
Mod-2 Lec-17 First Order Partial Differential Equation
Mod-2 Lec-18 Second Order Partial Differential Equations-I
Mod-2 Lec-19 Second Order Partial Differential Equations-II
Mod-2 Lec-20 Solution of One Dimensional Wave Equation
Mod-2 Lec-21 Solution of Homogeneous&Non Homogeneous Equations
Mod-2 Lec-22 Fourier Integral&Transform Method for Heat Equation
Mod-2 Lec-23 Three Dimensional Laplace Equation
Mod-2 Lec-24 Solution of Drichlet Problem
Mod-2 Lec-25 Numerical Method for Laplace Poisson Eqaution