VTU 1st Sem Maths Module 1 2025 Scheme| Maclaurin Series of 2 Variables |Expand e^x cos y |1BMATS101 скачать в хорошем качестве

VTU 1st Sem Maths Module 1 2025 Scheme| Maclaurin Series of 2 Variables |Expand e^x cos y |1BMATS101

Welcome to Express VTU 4 All, your trusted YouTube channel for VTU 1st Semester Mathematics (1BMATS101) explained step by step according to the VTU 2025 Scheme. In this video, we solve an important problem from Module 1 – Calculus, where we apply Maclaurin’s series expansion of two variables to expand the function e^x cos y up to second degree terms. This is a very frequently asked VTU PYQ (2025 Scheme) and a high-scoring question if the expansion steps are written clearly. 🔹 Question Expand e^x cos y up to second degree terms using Maclaurin’s series expansion of two variables. 🔹 Concepts Covered in This Video ✔ Maclaurin series ✔ Expansion of functions of two variables ✔ Series expansion of exponential function ✔ Series expansion of trigonometric function ✔ Neglecting higher-order terms ✔ VTU exam-oriented presentation (2025 Scheme) 🔹 Method Explained (Step-by-Step) In this video, we follow these steps: 1️⃣ Write the Maclaurin series expansion for e^x 2️⃣ Write the Maclaurin series expansion for cos y 3️⃣ Multiply both series carefully 4️⃣ Retain only terms up to second degree 5️⃣ Neglect higher-order terms 6️⃣ Write the final simplified expansion Each step is explained neatly using VTU answer-writing format, making it easy to score full marks. 🔹 Why This Question Is Important (2025 Scheme) ✔ Direct question from Module 1 syllabus ✔ Repeated VTU PYQ ✔ Tests understanding of series expansion of two variables ✔ Very easy full-marks question ✔ Foundation for Taylor series problems 💡 VTU Exam Tips (2025 Scheme) ✅ Always write Maclaurin series clearly ✅ Expand each function separately ✅ Multiply carefully and check degree of terms ✅ Retain only required degree terms ✅ Mention “neglecting higher-order terms” VTU 1st sem maths module 1 2025 scheme Maclaurin series two variables VTU Expand e^x cos y 1BMATS101 calculus series expansion VTU PYQ Maclaurin series Engineering maths 1 VTU VTU 2025 scheme maths #VTU #VTUMaths #1BMATS101 #VTU2025Scheme #MaclaurinSeries #TwoVariables #Calculus #VTUFirstSem #VTUPYQ #ExpressVTU4All