Core - Mathematics - III (English)

   Wednesday, February 12, 2025   

Starting a new Lecture Notes Series on Core - Mathematics - III

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Core - Mathematics - III By Lecture Notes together!

Lecture 1: Mod-1 Lec-1 Solution of ODE of First Order and First Degree

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

Lecture 3: Mod-1 Lec-3 Approximate Solution of An Initial Value

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

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

Lecture 6: Mod-1 Lec-6 Bessel Functions and Their Properties-I

Lecture 7: Mod-1 Lec-7 Bessel Functions And Their Properties-II

Lecture 8: Mod-1 Lec-8 Laplace Transformation-I

Lecture 9: Mod-1 Lec-9 Laplace Transformation-II

Lecture 10: Mod-1 Lec-10 Applications of Laplace Transformation-I

Lecture 11: Mod-1 Lec-11 Applications of Laplace Transformation-II

Lecture 12: Mod-1 Lec-12 One Dimensional Wave Equation

Lecture 13: Mod-1 Lec-13 One Dimensional Heat Equation

Lecture 14: Mod-2 Lec-1 Introduction to Differential Equation

Lecture 15: Mod-2 Lec-2 First Order Differential Equations and Their Geometric Interpretation

Lecture 16: Mod-2 Lec-3 Differential Equations of First Order&Higher Degree

Lecture 17: Mod-2 Lec-4 Linear Differential Equation of Second Order-Part-1

Lecture 18: Mod-2 Lec-5 Linear Differential equation of Second Order-Part-2

Lecture 19: Mod-2 Lec-6 Euler-Cauchy Theorem

Lecture 20: Mod-2 Lec-7 Higher Order Linear Differential Equations

Lecture 21: Mod-2 Lec-8 Higher Order Non Homogeneous Linear Equations

Lecture 22: Mod-2 Lec-9 Boundary Value Problems

Lecture 23: Mod-2 Lec-10 Strum Liouville boundary Value Problme

Lecture 24: Mod-2 Lec-11 Fourier Series-Part-1

Lecture 25: Mod-2 Lec-12 Fourier Series-Part-2

Lecture 26: Mod-2 Lec-13 Convergence of the Fourier Series

Lecture 27: Mod-2 Lec-14 Fourier Integrals

Lecture 28: Mod-2 Lec-15 Fourier Transforms

Lecture 29: Mod-2 Lec-16 Partial Differential Equation

Lecture 30: Mod-2 Lec-17 First Order Partial Differential Equation

Lecture 31: Mod-2 Lec-18 Second Order Partial Differential Equations-I

Lecture 32: Mod-2 Lec-19 Second Order Partial Differential Equations-II

Lecture 33: Mod-2 Lec-20 Solution of One Dimensional Wave Equation

Lecture 34: Mod-2 Lec-21 Solution of Homogeneous&Non Homogeneous Equations

Lecture 35: Mod-2 Lec-22 Fourier Integral&Transform Method for Heat Equation

Lecture 36: Mod-2 Lec-23 Three Dimensional Laplace Equation

Lecture 37: Mod-2 Lec-24 Solution of Drichlet Problem

Lecture 38: Mod-2 Lec-25 Numerical Method for Laplace Poisson Eqaution

Lecture 39: Mod-2 Lec-26 ADI Method for Laplace and Poisson Equation