PYQ on Calculus | Real Analysis | Set Mathematical Science | IFAS | L10 скачать в хорошем качестве

PYQ on Calculus | Real Analysis | Set Mathematical Science | IFAS | L10

In this session by IFAS, Atal Sir conducts a problem-solving marathon focusing on Calculus and Real Analysis PYQs (Previous Year Questions). This lecture is designed specifically for SET, CSIR NET, and GATE Mathematical Science aspirants to bridge the gap between theoretical knowledge of limits, continuity, and differentiability and their practical application in competitive exams. 🔥 Join India's Best Mathematics Coaching for CSIR NET and GATE Exams - IFAS Online! STARTING SOON: Super Emotion Batch 7.0 (From 12th Jan 2026) 👉🏻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: Continuity with Parameters Properties of Function Modulus Uniform Continuity (UC) Testing Differentiability and System of Equations Monotonicity and Solution Existence ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ⏱️ Timestamps - Jump to Your Topic: [02:48] Introduction and Session Welcome [05:52] Example 1: Evaluating $g(1)$ using derivatives of $f(x) = \frac{x}{3-2x}$ [13:53] Example 2: Finding $\lambda$ for continuity at $x = \pi/2$ (Trigonometric Limits) [21:23] Conceptual Problem: Preservation of properties for $|f(x)|$ (Not True statements) [27:14] Mentorship: IFAS Course Updates and Test Series Information [28:13] Deep Dive: Uniform Continuity for $x^2, \cos(x),$ and $\frac{\sin(x)}{x}$ [38:13] Advanced Problem: Solving for $a$ and $b$ given $f'(3)$ exists [47:21] Continuity Check: Solving for $u$ in $g(x) = \frac{1-\cos(2x)}{x^2}$ at $x=0$ [54:11] Monotonicity Analysis: Investigating solutions for $f(x) = x^2 + e^x - 2$ [01:00:32] Conclusion and Multi-Result Homework Challenge ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ Lecture Summary: In this session, Atal Sir focuses on Calculus Mixed Practice, moving from basic limit evaluations to complex differentiability problems. The lecture emphasizes the "Sequential Criteria" for disproving uniform continuity and the use of "Branch Point" analysis for solving exam-style piecewise function problems. Atal Sir also highlights common pitfalls, such as sign errors in L'Hôpital’s Rule and misinterpreting "Not True" questions. The session concludes with a high-level homework problem designed to verify six real analysis results simultaneously. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 🔗 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