Core - Mathematics - III

Course Lectures

• Mod-1 Lec-1 Solution of ODE of First Order and First Degree

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• Mod-1 Lec-2 Linear Differential Equations of the First Order and Orthogonal Trajectories

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• Mod-1 Lec-3 Approximate Solution of An Initial Value

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• Mod-1 Lec-4 Series Solution of Homogeneous Linear Differential Equations-I

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• Mod-1 Lec-5 Series Solution of Homogeneous Linear Differential Equations-II

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• Mod-1 Lec-6 Bessel Functions and Their Properties-I

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• Mod-1 Lec-7 Bessel Functions And Their Properties-II

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• Mod-1 Lec-8 Laplace Transformation-I

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• Mod-1 Lec-9 Laplace Transformation-II

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• Mod-1 Lec-10 Applications of Laplace Transformation-I

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• Mod-1 Lec-11 Applications of Laplace Transformation-II

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• Mod-1 Lec-12 One Dimensional Wave Equation

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• Mod-1 Lec-13 One Dimensional Heat Equation

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• Mod-2 Lec-1 Introduction to Differential Equation

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• Mod-2 Lec-2 First Order Differential Equations and Their Geometric Interpretation

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• Mod-2 Lec-3 Differential Equations of First Order&Higher Degree

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• Mod-2 Lec-4 Linear Differential Equation of Second Order-Part-1

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• Mod-2 Lec-5 Linear Differential equation of Second Order-Part-2

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• Mod-2 Lec-6 Euler-Cauchy Theorem

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• Mod-2 Lec-7 Higher Order Linear Differential Equations

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• Mod-2 Lec-8 Higher Order Non Homogeneous Linear Equations

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• Mod-2 Lec-9 Boundary Value Problems

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• Mod-2 Lec-10 Strum Liouville boundary Value Problme

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• Mod-2 Lec-11 Fourier Series-Part-1

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• Mod-2 Lec-12 Fourier Series-Part-2

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• Mod-2 Lec-13 Convergence of the Fourier Series

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• Mod-2 Lec-14 Fourier Integrals

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• Mod-2 Lec-15 Fourier Transforms

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• Mod-2 Lec-16 Partial Differential Equation

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• Mod-2 Lec-17 First Order Partial Differential Equation

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• Mod-2 Lec-18 Second Order Partial Differential Equations-I

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• Mod-2 Lec-19 Second Order Partial Differential Equations-II

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• Mod-2 Lec-20 Solution of One Dimensional Wave Equation

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• Mod-2 Lec-21 Solution of Homogeneous&Non Homogeneous Equations

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• Mod-2 Lec-22 Fourier Integral&Transform Method for Heat Equation

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• Mod-2 Lec-23 Three Dimensional Laplace Equation

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• Mod-2 Lec-24 Solution of Drichlet Problem

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• Mod-2 Lec-25 Numerical Method for Laplace Poisson Eqaution

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• Mod-2 Lec-26 ADI Method for Laplace and Poisson Equation

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