Stokes’ Theorem PYQs (2010–2025) | UPSC Maths Optional - Vector Analysis | скачать в хорошем качестве

Stokes’ Theorem PYQs (2010–2025) | UPSC Maths Optional - Vector Analysis |

#upscmathsoptional #stokestheorem #vectoranalysis #curl #lineintegral #surfaceintegral #upscpyqs #mathsoptional #safaltakiore #priyankagodara #upscmains2025Stokes’ Theorem PYQs (2010–2025) | UPSC Maths Optional - Vector Analysis | #upsc #priyankagodara Welcome to SAFALTA KI ORE with Priyanka Godara! In this video, we solve 15 Years (2010–2025) of UPSC CSE Maths Optional PYQs from Vector Analysis – Stokes’ Theorem, a crucial topic that blends line integrals, surface integrals & curl. This lecture covers: ✔ Statement of Stokes’ Theorem ✔ Converting line integral → surface integral ✔ Computing curl of vector fields ✔ Orientation of surfaces & boundary curves ✔ Evaluation of integrals using parametric representations ✔ Applications on planes, surfaces & simple regions ✔ Identifying open vs closed surfaces ✔ Using symmetry to simplify integrals ✔ Proper UPSC mains answer-writing method ✔ Repeated patterns from UPSC past 15 years PYQs ✔ Common traps & mistakes (orientation errors, missing unit normal, wrong curl) You will learn: 📌 How to efficiently apply Stokes’ Theorem for UPSC 📌 Which problems are BEST solved using Stokes’ theorem 📌 How to parametrize surfaces or identify easier surfaces 📌 How to simplify long integrals using curl This session is perfect for: 🔹 UPSC CSE Maths Optional aspirants 🔹 IIT-JAM / GATE / CUET PG students 🔹 B.Sc / B.Tech mathematics learners 🔹 Anyone studying vector calculus & integral theorems 📌 Download Notes + PYQs + Practice Sets: Join Telegram → Safalta Ki Ore 📌 Vector Analysis PYQ Series: • Gradient & Directional Derivatives • Divergence & Curl • Line & Surface Integrals • Green’s Theorem • Gauss’ Divergence Theorem upsc maths optional stokes theorem upsc vector calculus upsc curl of vector field line integral evaluation surface integral evaluation boundary orientation vector calculus normal vector field vector analysis pyqs 15 years maths optional pyqs integral theorems upsc stokes theorem explanation stokes theorem questions multivariable calculus upsc priyanka godara maths optional safalta ki ore upsc mains maths solutions If you find this helpful, please LIKE ❤️ | COMMENT ✍️ | SHARE 📢 | SUBSCRIBE 🔔 Your support motivates the full 15-Year PYQ Series!