BT-102 RGPV B.Tech
Mathematics‑I
Previous year papers and the official syllabus are free to read, no account needed.
Previous Year Papers
8 papers, latest Dec 2025
- BT-102 paper, Dec 2025
- BT-102 paper, Jun 2025
- BT-102 paper, Dec 2024
- BT-102 paper, Jun 2024
- BT-102 paper, Dec 2023
- BT-102 paper, Jun 2023
Syllabus, notes and important questions for BT-102
Syllabus units
Topics as the official RGPV syllabus lists them.
Unit 1 Calculus 7 topics
- Rolle’s theorem
- Mean Value theorems
- Expansion of functions by Mc. Laurin’s and Taylor’s for one variable
- Taylor’s theorem for functions of two variables
- Partial Differentiation
- Maxima & Minima (two and three variables)
- Method of Lagrange’s Multipliers
Unit 2 Calculus 6 topics
- Definite Integral as a limit of a sum and its application in summation of series
- Beta and Gamma functions and their properties
- Applications of definite integrals to evaluate surface areas and volumes of revolutions
- Multiple Integral
- Change the order of integration
- Applications of multiple integrals for calculating area and volumes of curves
Unit 3 Sequences and Series 7 topics
- Convergence of sequences and series
- Tests for convergence
- Power series
- Taylor's series
- Series for exponential, trigonometric and logarithmic functions
- Fourier series: half‑range sine and cosine series
- Parseval’s theorem
Unit 4 Vector Spaces 6 topics
- Vector Space
- Vector Sub‑Space
- Linear Combination of Vectors
- Linear Dependence and Linear Independence
- Basis of a Vector Space
- Linear Transformations
Unit 5 Matrices 6 topics
- Rank of a Matrix
- Solution of simultaneous linear equations by elementary transformation
- Consistency of equations
- Eigenvalues and eigenvectors
- Diagonalization of matrices
- Cayley‑Hamilton theorem and its applications to find inverse
Exam insights
Counted from 6 past BT-102 papers.