Detailed Course on Linear Integral Equation, CoV, and Numerical Analysis: 2023

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Detailed Course on Linear Integral Equation, CoV, and Numerical Analysis: 2023

Dr Vineeta Negi

In this course, Dr Vineeta Negi will cover all the important topics of LIE, CoV and Numerical Analysis for students of CSIR-UGC NET from Unit I to Unit XVI. The following topics (Solution of LIE, CoV & NA, etc.)... Read more
Ended on Sep 20

Aug 30 - Sep 20, 2022

16 lessons
0 practices

0 questions by educators

Week 1

Aug 29 - Sep 4

4 lessons

4 practices

Aug

30

LIE: Solution of Linear Integral Equation

Lesson 1  •  Aug 30  •  2h 5m

Aug

31

Resolvents of Integral Equations with Continous Kernals & Integral Equations With Separable Kernals

Lesson 2  •  Aug 31  •  1h 51m

Sep

1

Eigen Values & Eigen Functions: Characteristic Values in Linear Integral Equations

Lesson 3  •  Sep 1  •  2h 2m

Sep

2

Classification of Integral Equations & Volterra Integral Equation

Lesson 4  •  Sep 2  •  1h 50m

Week 2

Sep 5 - 11

5 lessons

3 practices

Sep

5

Solution of Integral Equation by Laplace Transform and Doubt Clearing Session

Lesson 5  •  Sep 5  •  1h 55m

Sep

6

CoV: Variational Problems by Euler Equation

Lesson 6  •  Sep 6  •  1h 38m

Sep

7

Variational Problem with Movable Boundaries: Isoperimetric Problems

Lesson 7  •  Sep 7  •  1h 45m

Sep

8

Simplest Optimization Problem & Derivation of Euler-Lagrange Equation

Lesson 8  •  Sep 8  •  1h 37m

Sep

9

Functions Involving Higher Derivatives

Lesson 9  •  Sep 9  •  1h 48m

Week 3

Sep 12 - 18

5 lessons

4 practices

Sep

12

Parametric Form of the Variational Problem & Doubt Clearing Session

Lesson 10  •  Sep 12  •  1h 38m

Sep

13

Numerical Analysis: Solution of Algebraic Equation

Lesson 11  •  Sep 13  •  2h

Sep

14

Newton Raphson, Secant, Iteration & Bisection Method

Lesson 12  •  Sep 14  •  1h 48m

Sep

16

Gauss Elimination, Gauss-Seidel and Gauss Jordan Method

Lesson 13  •  Sep 16  •  1h 40m

Sep

17

Solution of ODE: System of First Order Initial Value Problems

Lesson 14  •  Sep 17  •  1h 43m

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