Countable & Uncountable Set | CSIR NET Mathematics | Last 5 Year PYQ | Lec 03 | IFAS скачать в хорошем качестве

Countable & Uncountable Set | CSIR NET Mathematics | Last 5 Year PYQ | Lec 03 | IFAS

In this session by IFAS, Manoj Sir conducts a specialized Last 5 Year PYQ analysis focusing on Countable & Uncountable Sets. This lecture is a vital component of the Emotion 2.0 series, tailored for aspirants of CSIR NET Mathematics June 2026, GATE, and SET exams. By solving actual problems from 2021 to 2025, the session aims to familiarize students with recent trends and complex functional definitions in real analysis. 🔥 Join India's Best Mathematics Coaching for CSIR NET and GATE Exams Live Online Course & Recorded Course - https://ifasonline.com/ 👉🏻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.....) ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 🎯 Target Audience: This video is highly beneficial for students preparing for: CSIR NET Mathematics, GATE Mathematics, MH SET Mathematics, BARC, NBHM ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 👇 Watch the Full Lecture to Master These Topics: Infinite Binary Words Functional Cardinality: Matrix Theory & Countability Sequences and Limit Superior/Inferior Power Sets and Bijections Partitioning Integer Sets ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ⏱️ Timestamps - Jump to Your Topic: [00:26] Introduction and Welcome to Emotion 2.0 [03:54] PYQ 1: Cardinality of Infinite Binary Words (String Theory) [10:49] Concept: Countable Union of Countable Sets [12:30] PYQ 2: Total Number of Functions satisfying strictly increasing conditions [24:30] PYQ 3: Sets of Real Matrices with Rational Entries/Eigenvalues [36:50] PYQ 4: Analysis of Sequence Sets (Limit Superior = 1, Limit Inferior = 0) [44:34] Advanced Result: Eventually Constant Sequences on Finite Sets [53:03] PYQ 5: Bijections and Power Sets of Non-empty Sets [58:21] PYQ 6: Properties of Subsets and Partitions of Integers [01:07:44] Final Problem: Solving Inequalities for Bijections [01:09:45] Closing Mentorship: Preview of Point Set Topology ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ Lecture Summary: This session focuses on Countable & Uncountable Sets Mixed PYQs, providing a rigorous bridge between abstract set theory and competitive exam questions. Manoj Sir breaks down difficult functional notations—such as binary words and matrix collections—into manageable logical steps. Key insights include the behavior of eventually constant sequences and the application of bijections to determine set size. Beyond problem-solving, the lecture offers guidance on approaching recent exam trends and announces the transition to Point Set Topology in the next session. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 🔗 Important Links: 🌍 Visit our Website: https://ifasonline.com 📞 Contact for Queries: 9172266888 📲 WhatsApp: https: https://whatsapp.com/channel/0029VbCV... 🔥 Qualification Prediction (Free Tool): https://ifasonline.com/QualificationP... 📘 Get Detailed Free Counselling: https://ifasonline.com/csir-net/mathe... ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ Download IFAS: 👇 📲Android: https://play.google.com/store/apps/de... 📲 Ios: https://apps.apple.com/us/app/ifas/id... ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ CSIR NET Mathematical Science Live & Recorded Course – https://ifasonline.com/csir-net/mathe... GATE Mathematical Science Recorded Course – https://ifasonline.com/gate/mathemati... MH SET Mathematical Science Recorded Course – https://ifasonline.com/mh-set/mathema.... 📘 Buy CSIR NET Mathematical Science Books: https://ifasonline.com/csir-net/mathe... ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 📞 Contact for Admission: 9172266888 Stay Updated Via Other Social Media: ✔Telegram: https://t.me/NET_GATE_SET_Maths_Discu... ✔Instagram:   / csir_net_mathematical_science   ✔Facebook:   / ifasmaths   ✔WhatsApp: https: https://whatsapp.com/channel/0029VbCV... ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ #csirnetjune2026 #csirnetmaths #csirnetmathematics #csirnetmathematicalscience #csirnetpreparation #ifas