Detailed Course on Complex Analysis for CSIR-UGC NET June 2024

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Detailed Course on Complex Analysis for CSIR-UGC NET June 2024

Ravi Mittal

In this course, Ravi Mittal will cover Complex Analysis. All the important topics will be discussed in detail and would be helpful for aspirants preparing for the CSIR-UGC NET exam. Learners at any stage of thei... Read more
Started on May 1

May 1 - May 23, 2024

22 lessons
0 practices

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60
Hindi
Mathematical Sciences
Discussion of Assignment 1
16th Jan • 1h

Week 1

Apr 29 - May 5

5 lessons

May

1

Fundamental Concepts of Complex Analysis: Basics of Complex Numbers

Lesson 1  •  May 1  •  2h

May

2

Fundamental Concepts of Complex Analysis: Basics of Complex Numbers Part II

Lesson 2  •  May 2  •  2h 2m

May

3

Limit, Continuity, and Differentiability: Cauchy-Riemann Equations and Continuous Functions

Lesson 3  •  May 3  •  1h 29m

May

4

Limit, Continuity, and Differentiability: Cauchy-Riemann Equations and Continuous Functions Part II

Lesson 4  •  May 4  •  1h

May

5

Doubt Clearing Session

Lesson 5  •  May 5  •  2h 9m

Week 2

May 6 - 12

7 lessons

May

6

Singularities in Complex Analysis: Singularity and Classifications of Singular Points - Part I

Lesson 6  •  May 6  •  1h 56m

May

7

Singularities in Complex Analysis: Singularity and Classifications of Singular Points - Part II

Lesson 7  •  May 7  •  2h

May

8

Concept of Series in Complex Analysis: Power Series and Result on Radius of Convergence - Part I

Lesson 8  •  May 8  •  2h 7m

May

9

Concept of Series in Complex Analysis: Power Series and Result on Radius of Convergence - Part II

Lesson 9  •  May 9  •  1h 58m

May

10

Doubt Clearing Session

Lesson 10  •  May 10  •  2h 2m

May

11

Complex Integration: Line Integrals and Parameterizations

Lesson 11  •  May 11  •  43m

May

12

Complex Integration: Cauchy's Inequality & Applications and Cauchy's Integral Formula

Lesson 12  •  May 12  •  2h 15m

Week 3

May 13 - 19

6 lessons

May

13

Complex Integration: Entire Functions and Result on Analyticity

Lesson 13  •  May 13  •  1h 35m

May

15

Doubt Clearing Session

Lesson 14  •  May 15  •  1h 53m

May

16

Taylor and Laurent Series

Lesson 15  •  May 16  •  2h 7m

May

17

Important Theorems: Rouche's Theorem and Picard's Great Theorem

Lesson 16  •  May 17  •  2h 20m

May

18

Calculus of Residues Part I

Lesson 17  •  May 18  •  2h 14m

May

19

Calculus of Residues Part II

Lesson 18  •  12:30 PM

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