BPUT Mathematics 1 (M-1) Syllabus | B.Tech 1st Year 1st Semester | BPUT Odisha

Описание: 📚 Mathematics 1 (M-1) Syllabus | B.Tech 1st Year 1st Semester | BPUT Odisha

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Mathematics is one of the most important foundation subjects in engineering. In this video, we provide a complete overview of the Mathematics 1 (M-1) syllabus prescribed by Biju Patnaik University of Technology (BPUT), Odisha) for B.Tech 1st Year 1st Semester students.

🔎 What you will learn in this video:

✔️ Complete structure of the BPUT M-1 syllabus
✔️ Detailed modules and their topics
✔️ Importance of each unit in engineering studies
✔️ Preparation strategy and exam-focused approach
✔️ Recommended reference books for Mathematics-1

📖 Syllabus Overview (Module-wise):

Module 1: Calculus

Rolle’s theorem, Mean Value Theorems

Expansion of functions: Taylor’s and Maclaurin’s series

Partial differentiation, Maxima & Minima, Lagrange’s multipliers

Module 2: Integral Calculus

Definite integrals as a limit of sums

Beta and Gamma functions, their properties

Applications of definite integrals to surface area & volumes

Multiple integrals, order of integration, applications in area & volume

Module 3: Sequences & Series

Convergence of sequences and series

Tests of convergence (ratio, root tests, etc.)

Power series expansion

Fourier series, Half range expansions, Parseval’s theorem

Module 4: Vector Spaces & Linear Algebra

Vector spaces, subspaces, linear combinations

Linearly dependent & independent sets

Basis & dimension, Linear transformations

Module 5: Matrices & Eigenvalues

Rank of matrices

Solutions of simultaneous equations using transformations

Consistency of equations

Eigenvalues & Eigenvectors, Diagonalization

Cayley-Hamilton theorem & applications

🎯 Learning Outcomes:

By the end of this subject, students will:
✅ Gain strong fundamentals in calculus, algebra, and series
✅ Develop problem-solving skills required for higher engineering subjects
✅ Be able to apply mathematical concepts to engineering problems
✅ Strengthen their logical and analytical thinking

📘 Recommended Books:

B.S. Grewal – Higher Engineering Mathematics

R.K. Jain & S.R.K. Iyengar – Advanced Engineering Mathematics

Erwin Kreyszig – Advanced Engineering Mathematics

🎥 On This Channel, You Will Get:

🔔 Complete syllabus breakdowns of BPUT subjects
📘 Chapter-wise lecture series
📝 Short revision and crash courses
📊 Previous year question paper discussions
💡 Exam preparation tips and tricks

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