Gurukulam Institute of Mathematics

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In this lecture, we cover Basic Maps in Complex Analysis in a complete and exam-oriented way.
https://youtu.be/g_ymCvui74g
📌 Topics Covered:
🔹 Topic 01: Translation Map
0:30 → Translation map & properties
2:30 → Image of square → remains square
5:20 → Image of straight line → remains straight line
5:20 → Image of circle → remains circle
6:15 → Shape & size remain unchanged
🔹 Topic 02: Rotation Map
10:35 → Rotation map & properties
16:40 → Line → remains line
20:13 → Circle → remains circle
26:15 → Square → remains square
34:28 → Mapping Right Half Plane → Lower Half Plane
37:50 → Lecture Conclusion

🎯 This lecture is very useful for:

GATE Mathematics
NET/JRF Mathematics
ISI Preparation
Engineering Mathematics

👉 Learn concepts with clarity + exam tricks + visual understanding.

Gurukulam Institute Of Mathematices 10 likes, 1 comment. "Complex Analysis | Lecture-01 | (Translation + Rotation FULL Lecture)"

https://youtu.be/aPAi8usfhMo
Welcome to Lecture 20 of our Real Analysis series! In this session, we dive deep into the Countability and Uncountability of Sequences. We explore the cardinality of sequence sets, the behavior of subsequences, and the specific counting logic behind eventually constant and eventually zero sequences.
This lecture is essential for aspirants of CSIR NET JRF, GATE, IIT JAM, NBHM, TIFR, CUET (PG), and various State Eligibility Tests (SET).
🎓 Why this lecture is important?
Frequently asked in NET, GATE, JAM
Builds strong foundation in set theory + sequences
Helps in understanding function spaces & cardinality
Key Topics Covered:
📌 Countability of sequences on various sets.
📌 Why a set of sequences is either uncountable or has only one element.
📌 The cardinality of subsequences.
📌 Deep dive into Eventually Constant & Eventually Zero sequences.
📌 Connection between eventually zero sequences and the Space of Polynomials.

👍 Like, Share & Subscribe

If you find this lecture helpful, don’t forget to:
✔ Like the video
✔ Share with friends
✔ Subscribe for complete Real Analysis series

Gurukulam Institute Of Mathematices 10 likes. "Real Analysis | Lecture 20 | Countability of Sequences | CSIR NET, GATE, JAM, NBHM"

https://youtu.be/235urv5RZJU
🔥 IIT-JAM 2025 Algebra Full Solution | One Shot Lecture

In this video, we cover ALL questions of IIT-JAM 2025 Algebra with detailed step-by-step explanations. This session is designed to help you understand concepts deeply and improve your problem-solving approach.

📌 What you'll learn:
Complete Algebra paper solution
Concept-based explanations
Short tricks & exam strategies
Common mistakes to avoid
👨‍🏫 About the Educator:
14+ Years Teaching Experience
M.Tech (CS) – ISI Kolkata
AIR-10 (NET-JRF)
GATE AIR 11
SPM Qualified
R&D (IBM)
🎯 This video is useful for:
IIT-JAM Aspirants
NET / GATE Preparation
Mathematics Students
👍 Don’t forget to Like, Share & Subscribe for more quality content!

IIT JAM 2025 Algebra Solved! 🔥 All Questions + Concepts Explained in One Shot 🔥 IIT-JAM 2025 Algebra Full Solution | One Shot LectureIn this video, we cover ALL questions of IIT-JAM 2025 Algebra with detailed step-by-step explanations...

🔥 Bilinear Transformation Made EASY | Full Lecture OUT NOW!
https://youtu.be/_pMgIIEavy8
Complex Analysis tough lagta hai? 🤔
Ab nahi! 💯

Is lecture mein aapko milega:
✅ Bilinear Transformation ka clear concept
✅ Circle & Straight Line mapping (step-by-step)
✅ Exam-oriented tricks (IIT JAM / NET / GATE)
✅ Easy visualization + problem solving

⏱️ Full lecture with timestamps – so you can jump to any topic instantly!

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👉 GATE Maths
👉 M.Sc Entrance
👉 B.Sc/M.Sc
👉 B.Tech

👨‍🏫 Learn with Kulwant Sir
✔ 14+ Years Teaching Experience
✔ AIR-10 (NET-JRF)
✔ GATE AIR 11
✔ M.Tech (ISI Kolkata)

🚀 Watch now & boost your preparation!
👉 Don’t forget to LIKE 👍 SHARE 🔁 & COMMENT 💬

Bilinear Transformation Made EASY 🔥 | Full Lecture + Tricks + PYQs | Complex Analysis Master Bilinear Transformation in one powerful lecture! 🚀This session covers everything from basics to advanced problem-solving techniques with clear geomet...