VTU 2nd Sem Maths Module 1 (2025 Scheme) | Newton's Method Problem | Find Real Root

Welcome to Express VTU 4 All 🎓 📚 FREE Handwritten Notes, PYQs & Study Materials: 👉 Telegram Channel: https://t.me/vtu4all 📢 Latest Updates, Notes & Announcements: 👉 Follow the Express VTU 4 All channel on WhatsApp: https://whatsapp.com/channel/0029Vb6Z... In this video, we solve an important VTU Engineering Mathematics II problem from Module 01 – Numerical Methods, strictly based on the VTU 2025 Scheme. This question is based on Newton's Method (Newton-Raphson Method), a powerful numerical technique used to find roots of algebraic and transcendental equations with rapid convergence. 🔹 Topic Covered Newton's Method (Newton-Raphson Method) 🔹 Question Using Newton's Method, find the real root of the equation 3x = cosx + 1 🔹 Question Overview We are given the equation: 3x = cosx + 1 or equivalently, 3x − cosx − 1 = 0 We will: • Convert the equation into standard form • Find the derivative • Apply Newton's iteration formula • Perform successive approximations • Obtain the real root 🔹 Concepts Used in This Video ✔ Newton-Raphson Method ✔ Transcendental equations ✔ Iterative root finding ✔ Numerical approximation ✔ Convergence of roots 🔹 Why This Question Is Important for VTU Exams ✅ Frequently asked numerical problem ✅ Important application of Newton's Method ✅ High scoring 5–10 marks question ✅ Common transcendental equation problem ✅ Repeated in VTU exams 🔹 VTU Exam Tip (2025 Scheme) • Convert the equation into f(x)=0 form first • Differentiate carefully • Choose a suitable initial approximation • Perform iterations systematically • Round only the final answer 📘 Syllabus Details Subject: Engineering Mathematics II Semester: 2nd Semester Module: 01 Unit: Numerical Methods Scheme: VTU 2025 Scheme Subject Code: 1BMATS201 🔔 Subscribe to Express VTU 4 All for: ✅ VTU Important Questions ✅ Handwritten Notes ✅ PYQs Solutions ✅ Module-wise Playlists ✅ Exam Preparation Videos 📚 Telegram Notes: https://t.me/vtu4all 📢 WhatsApp Channel: https://whatsapp.com/channel/0029Vb6Z... #VTU #VTUMaths #VTU2025Scheme #NewtonsMethod #NewtonRaphson #NumericalMethods #EngineeringMathematics #VTUModule1 #VTUPYQ #ExpressVTU4All