Complex Analytics II- Analytic Functions, Harmonic Functions and Problem Solving

Complex Analytics III- Zeroes of Analytic Functions, Singularity and PYQs

Doubt Clearing Session

Analytic Functions

Singularity, Classification of Singular Points and Problem Solving

Types of Isolated Singularity, Non-Singularity and Problem Solving

Singularity, Differentiability & Complex Integration: Doubt Clearing

Singularites of Analytic Functions

Complex Analysis Important Topics Part - I

Limit, Continuity & Differentiability

Function, Series, Integration and Residue: Problem Solving Session

Rouche, Identity Theorem and Problem Solving

Radius of Convergence and Residue Function: Problem Solving Session

Conformal Mapping, Magnification, Scale Factor & Inverse Points

Bilinear Transformations, Fixed or Invariant Points and Problem Solving

Winding Number and Transformation: Problem Solving Session

Complex Integration

Bilinear Transformations

Residue: Introduction, Theorems and Problem Solving

Laurent Series & Residue Theorem

Singularity, Meromorphic Functions, Zero of Analytic Function & Complex Integration: PYQs

Complex Analysis: Previous Year Questions

Entire and Meromorphic Functions

Congruence, Division Algorithm, Chinese Remainder Theorem and Euler's Functions

Algebra: Group Theory & Order of an Element of a Group

Concept of Subgroup & Its Centre

Difference Between Abelian & Non- Abelian And Cyclic Group

Normal Subgroups, Theorem Of Groups & Index of a Subgroup

Quotient Group, Dihedral Group & Klein’s Four Groups

Homomorphism, Isomorphism, Automorphism & Cyclic Group Theorem

Theorem of Isomorphism, Counting of Group Homomorphism & Automorphism

Sylow’s Theorem, Properties & Specific Linear Groups

Symmetric Group & Order of Element in Symmetric Group

Conjugate Equivalence Relation & Conjugate Classof S3

Theorem of Finite Abelian Groups & Problem Solving

Important Theorems & Applications

Meromorphic Function and Problem Solving

Argument Principle and Rouche's Theorem

Argument and Rouche’s Theorem

Conformal Mapping

Algebra of Complex Number, Complex Logarithmic Function and Problem Solving

Complex Functions, Complex Differential Functions and Cauchy-Riemann Equation

Entire, Harmonic, Elementary & Complementary Trigonometry Functions

Complex Analysis: Singularity Function, Types and Problem Solving -II

Complex Analysis: Complex Integration, Boundary Theorem and Problem Solving

Complex Analysis: Residue, Integration and Argument Principal

Taylor's Series, Theorem, Laurent Series and Problem Solving

Power Series, Bilinear Transformation and Problem Solving

Applications of Cauchy's Theorem

Complex Analysis: Functions, Cauchy-Riemann Equation & Harmonic Functions

Harmonic Functions

Analytic Inaregion, Properties and Cauchy’s Riemann

Complex Analysis: Harmonic Function, Analytic Function, and Singularity

Singularities and Types of Singularity

Doubt Clearing and Problem Solving

Complex Integration Introduction, Crunchy’s Theorem & Problem Solving

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

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

Schwarz Lemma and Schwarz-Pick Lemma: Problem Solving Session

Liouville Theorem, Analytic Function, Open Mapping and Cauchy Theorem

Problem Solving Session

Riemann Mapping Theorem

Introduction to Complex Numbers and Problem Solving

Function of Complex Variable, One and Onto Function & Problem Solving Session

Cauchy Riemann Equation and Problem Solving: Complex Analysis

Analytic and Harmonic Functions, Harmonic Conjugate & Problem Solving

Exponential, Trigonometry, Multivalued Function & Problem Solving

Singularity and its Types

Non-isolated Singularity and Zero of a Function

Entire and Meromorphic Function

Curve and Complex Integration

Cauchy Integral Theorem and Higher Order Derivative

Liouville's Theorem and Identity Theorem

Power Series, Circle of Convergence and Taylor Series

Laurent Series and Analysis of Singularity

Introduction To Residue at Finite Point & Poles

Residue at Infinity: Problem Solving Session

Rouche's Theorem, Min & Max Modulus and Schwarz's Lemma

Bilinear Transformation: Problem Solving Session

Analytic Continuation

Taylor Series, Laurent series, Zero and Singularity Point

Taylor and Laurent Expansion

Complex Analysis

Mathematical Sciences

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CSIR-UGC NET

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

In this course, Gajendra Purohit will cover Mathematics. All the important topics will be discussed in detail and would be helpful for all aspirants preparing for the CSIR NET & GATE exam. Learners at any stage of their preparation would be benefited from the course. The course will be completed in 20 days, comprising 14 classes with a duration of 120 minutes each. The course will be covered in Hindi and the notes will be provided in English.

Foundation Course on Mathematics - December CSIR NET 23

In this course, Gajendra Purohit will cover Mathematical Sciences. All the important topics will be discussed in detail and would be helpful for all aspirants preparing for the CSIR NET & GATE exam. Learners at any stage of their preparation would be benefited from the course. The course will be completed in approximately 1 month, comprising 31 classes with a duration of 120 minutes each. The course will be taught in Hindi and notes will be provided in English.

Rank Booster Crash Course on Mathematical Sciences - CSIR NET, 2023

In this course, Neetu Gupta , will discuss the concept of Differential Equation. All the important concepts will be discussed and would be helpful for aspirants preparing for the CSIR exams. Learners at any stage of their preparations will be benefited by the course. The course will be covered in Hindi and notes will be provided in English.

Complete Course on Complex Analysis - CSIR NET Dec 2024

In this course, Sagar Surya will cover the topics on CSIR UGC NET Mathematics for unit 2 of the syllabus. Class dates along with topic details are given below. The course will be covered in Hindi and the notes will be provided in English.

Detailed Course on Mathematical Sciences: Unit 02 - CSIR UGC NET

In this course, Ravi Mittal will discuss the basics of the Mathematical Sciences. The course will be helpful for aspirants preparing for CSIR-UGC NET. Learners at any stage of their preparation will be benefited from the course. The course will be completed in 10 days, comprising 10 classes with a duration of 120 minutes each. The course will be covered in Hindi and the notes will be provided in Hindi.

Comprehensive Course on Mathematics Basics - CSIR-UGC NET

In this session Sagar Surya will discuss problems on the topic of Complex Analysis. The class will be discussed in Hindi and notes will be provided in English.

Complete Course on Complex Analysis for CSIR NET June 2025

In this course, Neetu Gupta , will discuss the concept of Complex Analysis. All the important concepts will be discussed and would be helpful for aspirants preparing for the CSIR exams. Learners at any stage of their preparations will be benefited by the course. The course will be covered in Hindi and notes will be provided in English

Detailed course on Complex Analysis - CSIR 2025

In this course, Ravi Mittal will discuss the basics of of the Mathematical Sciences. The course will be helpful for aspirants preparing for CSIR-UGC NET. Learners at any stage of their preparation will be benefited from the course. The course will be covered in Hindi and the notes will be provided in English.

Foundation Course For CSIR NET Mathematical Sceinces

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 their preparations will be benefited from the course. The course will be completed in approximately 1 month, comprising 24 classes with a duration of 120 minutes each. The course will be covered in Hindi and the notes will be provided in English.

Complex Analysis

Chapters

Courses

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Analytic Functions

Singularites of Analytic Functions

Notes

Limit, Continuity & Differentiability

Notes

Complex Integration

Notes

Practice

Laurent Series & Residue Theorem

Practice

Entire and Meromorphic Functions

Important Theorems & Applications

Argument and Rouche’s Theorem

Notes

Conformal Mapping

Applications of Cauchy's Theorem

Harmonic Functions

Riemann Mapping Theorem

Analytic Continuation

Taylor and Laurent Expansion

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