Unlock Code - AnushaJ | Plus Educator | Assistant Professor | 5 years Teaching experience | Telegram Channel - MATHSQUARE

Anusha Jain

This course is the second part of the course "pure mathematics for CSIR NET/JRF Exam", which is cover all the topics of "COMPLEX ANALYSIS" according to NET/ JRF and GATE (MA) Syllabus.
    each and every point is well explained from the basic so it can be beneficial for you.

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

Hindi

(Hindi) Complex Analysis- Pure mathematics for CSIR NET/JRF : Part-2

Bilinear Transformation & Mapping

Complex Analysis

Mathematical Sciences

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Test Preparation

This video is deals with the Overview of This course "Pure Mathematics for CSIR NET/JRF Exam : Part-2". 
This course will be cover all topics of  COMPLEX ANALYSIS according to NET and GATE syllabus.

Overview of the course (In Hindi)

In this video, we will discuss about polar form and absolute value of complex numbers and their properties.

Absolute value and Polar form of Complex Numbers (In Hindi)

In this lesson, we will learn How to find the principal Argument and general argument of any complex number.
And also cover some properties related to the same.

How to find Principal argument? ( in Hindi)

This video is only for revise some Basic Concepts of Set theory.

Basics for this course (In Hindi)

This video is cover complete Introduction of COMPLEX NUMBERS.

Introduction of complex numbers (in Hindi)

In this lesson, we will study on some definations on the complex plane such that-
Open ball, Closed ball, Neighbourhood of a point, Open set, Closed set, Limit Point, Isolated points, Adherant point, Interior points, Boundary point, Bounded set, Compact set, Open Connected set, Domain, Simply connected domain, Region e.t.c.

Some Definations on Complex Plane (In Hindi)

This video is all about the "Power Series".
Power series is one of the important topic for NET/JRF and GATE MA exam.

Power series (In Hindi)

In this video, we will learn about complex sequence and complex series. Also study on some test which is used to check the covergence and divergence of complex series.

Complex Sequence and series (In Hindi)

This lesson contains some examples of Power Series to find the Radious of convergent and domain of convergent of PS.

Examples of power series (In hindi)

Here, we discuss some basic points on complex sequences and will solve some examples to check convergence or divergence sequence.

Sequence of complex numbers (In Hindi)

In this video, we read some geometric figures in complex plane.

Some Geometric Figures in complex plane (In Hindi)

Complex Function (In Hindi)

Here we will study on some concepts of real analysis- "limit of single real valued function".

Limit of single Real valued function(In Hindi)

Here we will study on some concepts of real analysis- "limit of Real valued function of two variables".

Limit of Real valued function of two variables( In Hindi)

Here we will study on 'How to find limit of complex valued function'.

Limit of complex valued function (In Hindi)

Here we will study on 'Complex Continuous Function' and also learn 'How to find general value and principal value of any complex exponent'

Complex continuous function (In Hindi)

Here, we will study on Differentiable Function, Necessary condition of Differentiable Function and will solve some problems related to the same.

Complex Differentiable function-1 (In Hindi)

Here, we will study on sufficient condition of  Differentiable Function and solve some problems related to same.

Complex Differentiable Function-2 (In Hindi)

This video is deals with 'Analytic Function' and 'Entire Function (Analytic on complex plane)'.

Analytic function, Entire function (In Hindi)

In this video, we will learn 'C-R Equation in Polar Form' to check Differentiablity and Analyticity of complex valued functions in polar form.

C-R Equation in Polar Form (In Hindi)

Here, we will study on some results for identify the constant function under the analytic function.

Some results on constant function (In Hindi)

In this video, we will study on Harmonic function, Young theorem and Harmonic Conjugate.

Harmonic function, Harmonic conjugate, young theorem (In Hindi)

Here, we will study on 'Singularity' of complex function.

Singularity is the most important topic for CSIR NET/JRF & GATE exam

Singularity: Part-1 (In Hindi)

Here, we will study on 'Types of Isolated Singularity' of complex function.

Singularity: Part-2 (In Hindi)

Here, we will solve some problems on 'Singularity' of complex function.

Singularity: Part-3 (In Hindi)

In this video, we will study on curve or path and types of curve as,
Closed curve, Simple curve, Simple closed curve, Smooth curve, Contour, Closed contour, Domain, Simply connected domain, Punctured connected domain, Multi connected domain.

Curve or path (In Hindi)

In this video, we will study on Complex Integration of Complex Function.

Complex Integration: Part-1 (In Hindi)

In this video, we will study on 'How to solve Complex Integration on closed contour?'.

Complex Integration: Part-2 (In Hindi)

In this video, we will solve some problems of complex integration.

Complex Integration: Part-3 (In Hindi)

This lesson covers following Theorems:-
Open map theorem,
Picard little theorem for entire function,
Morera theorem,
Cauchy Inequality.

Important Theorem: Part-1 (In Hindi)

This video is deals with the "Identity Theorem".

Important theorem: Part-2(In Hindi)

In this video, we will cover following theorems:-
Liouville theorem,
Extended liouvilles theorem,
Meromorphic function.

Important Theorem: part-3(In Hindi)

In this video, we will cover Rouches theorem' &  'Riemann Removability Theorem'.

Important theorem: Part-4 (In Hindi)

In this video, we will cover following theorems-
Schwarz lemma, 
Schwarz pick lemma, Minimum modulus theorem,
Maximum modulus theorem.

Important theorem: Part-5 (In Hindi)

In this video, we will discuss Taylor series, Taylor theorem and their properties.

Taylor series (In Hindi)

Here, we learn how to find Taylor series or Radious of convergence of Taylor series of complex function.

Solving problems on Taylor series (In Hindi)

This video is deals  with Laurent Series of complex function.

Laurant series (In Hindi)

Here, we learn how to find 'Residues' of analytic function having some isolated singularity and we will solve some problems related to the same.

Residues :Part-1 (In Hindi)

This is the 2'nd part of Residues. 
Here, we will discuss some important theorems based on residues, which is used to find out the value of some special forms of complex integration.whose names are -
Cauchy Residues theorem,
Arguement principal,
General argument principal.

Residues: Part-2 (In Hindi)

Here, we study on 'Linear Transformation' and also discuss some types of linear transformation such as-
Translation map,
Rotation map,
Magnification/ Contraction map.

Linear Transformation and Types of Linear Transformation (In Hindi)

Here, we will discuss a type of linear transformation --Inverse Map. And will also discuss some properties of linear transformation and inverse map.

Linear transformation- Inverse mapping (In Hindi)

Here, we will study on Bilinear Transformation and discuss some most general Bilinear Transformation.

Bilinear Transformation (In Hindi)

Here, we will solve some problems on bilinear transformation.

Some solving problems of Bilinear Transformation (In Hindi)

In this video, we will study on 'Conformal Mapping'.

Conformal mapping (In Hindi)

Completed  CIVIL ENGINEERING FROM NIT JAMSHEDPUR,    Faculty at FIITJEE, Scored 200+ marks in JEE MAIN, love to study mythology and do medit

Prabhat Kumar

This course will cover all the aspects of the complex analysis up to analytic functions. It will provide a one-stop solution for Complex Analysis. Theory will be complemented by all level of questions starting from basic to previous year questions.

(Hindi) Complex Analysis: CSIR-UGC NET

YouTube Channel "Mritunjay Classes" For- CSIR-NET/GATE/IIT-JAM,/UG,/PG


 

Lalit Mohan

In this course, the educator discusses Complex Analysis.
This course is designed for CSIR-NET/ GATE Students of Mathematical Sciences.

(Hindi) Complex Analysis for CSIR-UGC NET

Hello friends, Teaching is my passion, I have two years experienced in teaching field. instantly I m giving a coaching for all compitative e

Prabhavati Kundaragi

Here i discussed very imp topics whach were asked in previous year examination.

(Kannada) Complex Analysis

This Course is a Continue part of Complex Analysis. This Course is beneficial for CSIR-UGC NET aspirants.

(Kannada) Complex Analysis Part 2: CSIR-UGC NET

Zaina Khanum

Strengthen your basics in Complex Analysis with this course which is useful for csir ugc net.

Lessons

44 lessons • 10h