Detailed Course on Complex Analysis for CSIR-UGC NET

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Detailed Course on Complex Analysis for CSIR-UGC NET

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
Ended on Dec 4

Nov 3 - Dec 4, 2022

26 lessons
0 practices

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88
Hindi
Mathematical Sciences
Discussion of Assignment 1
16th Jan • 1h

Week 1

Oct 31 - Nov 6

4 lessons

Nov

3

Fundamental Concepts of Complex Analysis: Basics of Complex Numbers

Lesson 1  •  Nov 3  •  2h 15m

Nov

4

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

Lesson 2  •  Nov 4  •  2h 12m

Nov

5

Analyticity and CR Equations: Harmonic Functions and Analyticity

Lesson 3  •  Nov 5  •  53m

Nov

6

Analyticity and CR Equations: Differentiability and Complex Form of C-R Equation

Lesson 4  •  Nov 6  •  2h 2m

Week 2

Nov 7 - 13

4 lessons

Nov

10

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

Lesson 5  •  Nov 10  •  2h 7m

Nov

11

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

Lesson 6  •  Nov 11  •  2h 8m

Nov

12

Doubt Clearing Session

Lesson 7  •  Nov 12  •  2h 7m

Nov

13

Complex Integration: Line Integrals and Parameterizations

Lesson 8  •  Nov 13  •  2h 8m

Week 3

Nov 14 - 20

7 lessons

Nov

14

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

Lesson 9  •  Nov 14  •  2h 3m

Nov

15

Complex Integration: Entire Functions and Result on Analyticity

Lesson 10  •  Nov 15  •  2h 5m

Nov

16

Important Theorems: Liouville's Theorem and Extended Liouville's Theorem

Lesson 11  •  Nov 16  •  2h

Nov

17

Doubt Clearing Session

Lesson 12  •  Nov 17  •  2h 25m

Nov

18

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

Lesson 13  •  Nov 18  •  2h 3m

Nov

19

Calculus of Residues

Lesson 14  •  Nov 19  •  2h 16m

Nov

20

Taylor and Laurent Series

Lesson 15  •  Nov 20  •  1h 3m

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