In this lecture by IFAS, Rohit Sir explains the 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 functions.
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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......)
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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:
Singularity Analysis
Transcendental Equations
Limit Points of Poles
Range of Functions
Bilinear Transformations
Mobius Transformations
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⏱️ Timestamps - Jump to Your Topic:
[00:22] Introduction and Session Welcome
[01:56] Example 1: Singularity Analysis of $1 / (e^{1/z} + 1)$
[04:19] Mathematical Derivation: Solving for complex exponents
[06:02] Non-isolated Singularities: Verifying the nature of $z=0$
[07:39] Example 2: Bilinear Transformations and Plane Mappings
[01:52:03] Closing Mentorship: Exam Strategy and Mock Test Registration
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Lecture Summary:
In this session, Rohit Sir focuses on Complex Analysis Practice Questions, providing a bridge between conceptual definitions and competitive exam applications. The lecture covers everything from fundamental singularity classification to advanced Bilinear mapping techniques. Rohit Sir also shares valuable insights on using the "Exam Mapping Series" to identify repeating question patterns and provides a walkthrough for accessing free mock tests on the IFAS platform. He concludes the session by announcing the transition to Real Analysis and Algebra sessions in the coming week.
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