In this lecture by IFAS, Rohit Sir explains various concepts of Complex Analysis with practice questions in a simple and exam-focused manner. This session is a core part of the "Exam Mapping" series, essential for CSIR NET Mathematical Science 2025 and GATE aspirants to build a strong conceptual foundation and improve problem-solving skills for complex functional analysis.
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👉🏻IFAS CSIR UGC NET Mathematical Science Result👈🏻:
CSIR - NET June 2025 - Total Selections: 4200+ (CSIR UGC JRF AIR 1, 2, 6, 6, 10.....)
CSIR - NET Dec 2024 - Total Selections: 4000+ (CSIR UGC JRF AIR 5, 6, 6, 7, 8, 9, 10......)
CSIR - NET June 2024 - Total Selections: 2000+ (CSIR UCG JRF AIR 3, 10, 13, 15, 16.....)
CSIR - NET Dec - 2023: Total Selections: 1200+ (CSIR UGC JRF AIR 2, 4, 5, 7, 12, 15, 18, 19......)
CSIR - NET June - 2023: Total Selections: 1000+ (CSIR UGC JRF AIR 2, 6, 8, 9.....)
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🎯 Target Audience: This video is highly beneficial for students preparing for:
CSIR NET Mathematics, GATE Mathematics, MH SET Mathematics, BARC, NBHM
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👇 Watch the Full Lecture to Master These Topics:
Isolated Singularities
Complex Integration
Radius and Domain of Convergence:
Harmonic Functions:
Maximum Modulus Principle
Argument Principle & Rouché's Theorem
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⏱️ Timestamps - Jump to Your Topic:
[01:22] Introduction and Exam Mapping Series Overview
[01:43] Mock Test Schedule: Details for 8 full-length free tests
[04:20] Resource Access: How to get session PDFs via the IFAS app
[08:48] Example 1: Starting the Complex Analysis Practice Problems
[02:02:12] Standard Theorems: Review of Line Integrals and Liouville’s Theorem
[02:02:33] Advanced Topics: Schwarz-Pick Lemma and Maximum Modulus Principle
[02:03:01] Power Series: Quick tips for ROC and DOC calculations
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Lecture Summary:
In this session, Rohit Sir focuses on Complex Analysis Mixed Examples, providing a bridge between conceptual definitions and competitive exam applications. The lecture covers everything from basic singularity identification to advanced applications of the Schwarz-Pick Lemma and Picard's Little Theorem. Rohit Sir also shares valuable insights on how complex analysis accounts for approximately 35 marks in the NET exam and provides a strategic roadmap for approaching these questions. He concludes by announcing a shift toward Real Analysis and Linear Algebra in the upcoming sessions of the series.
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