Detailed Course on Complex Analysis

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Hindi

Detailed Course on Complex Analysis

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 30

Dec 7 - Dec 30, 2020

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

Week 1

Dec 7 - 13

7 lessons

Dec

7

Complex Number: Introduction & Properties

Lesson 1  •  Dec 7  •  1h 28m

Dec

8

Arguments of Z, Complex Number, and Polar Vector

Lesson 2  •  Dec 8  •  1h 37m

Dec

9

De Movice Therorem, Roots of a Complex Number & Problem Solving

Lesson 3  •  Dec 9  •  1h 33m

Dec

11

Complex Number: Spherical & Chordal Distance, and Delta Neighbourhood

Lesson 4  •  Dec 11  •  1h 27m

Dec

12

Elementary Function, C - R Equations, and Continuity of a Point

Lesson 5  •  Dec 12  •  1h 31m

Dec

13

Analytic Inaregion, Properties and Cauchy’s Riemann

Lesson 6  •  Dec 13  •  1h 31m

Dec

13

Complex Analysis: Harmonic Function, Analytic Function, and Singularity

Lesson 7  •  Dec 13  •  1h 30m

Week 2

Dec 14 - 20

6 lessons

Dec

16

Singularities and Types of Singularity

Lesson 8  •  Dec 16  •  1h 33m

Dec

17

Doubt Clearing and Problem Solving

Lesson 9  •  Dec 17  •  1h 33m

Dec

18

Complex Integration Introduction, Crunchy’s Theorem & Problem Solving

Lesson 10  •  Dec 18  •  1h 32m

Dec

19

Winding Number & Problem Solving, Important Theorems and Cauchy’s Inequality

Lesson 11  •  Dec 19  •  1h 31m

Dec

20

Liouville's, Picaras, Maximum Modulus, Minimum Modulus and Schwarz Lemma

Lesson 12  •  Dec 20  •  1h 30m

Dec

20

Schwarz Lemma and Schwarz-Pick Lemma: Problem Solving Session

Lesson 13  •  Dec 20  •  1h 34m

Week 3

Dec 21 - 27

6 lessons

Dec

21

Liouville Theorem, Analytic Function, Open Mapping and Cauchy Theorem

Lesson 14  •  Dec 21  •  1h 32m

Dec

22

Problem Solving Session

Lesson 15  •  Dec 22  •  1h 34m

Dec

23

Taylor Series, Laurent series, Zero and Singularity Point

Lesson 16  •  Dec 23  •  1h 30m

Dec

25

Bilinear Transformations

Lesson 17  •  Dec 25  •  1h 32m

Dec

26

Residue: Introduction, Theorems and Problem Solving

Lesson 18  •  Dec 26  •  1h 29m

Dec

27

Meromorphic Function and Problem Solving

Lesson 19  •  Dec 27  •  1h 30m

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