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 function of two variables
- Partial Differentiation
- Maxima & Minima (two and three variables)
- Method of Lagranges 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 the integration
- Applications of multiple integral for calculating area and volumes of the curves
Unit 3 Sequences and series 8 topics
- Convergence of sequence and series
- Tests for convergence
- Power series
- Taylor's series
- Series for exponential, trigonometric and logarithm functions
- Fourier series
- Half range sine and cosine series
- Parseval’s theorem
Unit 4 Vector Spaces 7 topics
- Vector Space
- Vector Sub Space
- Linear Combination of Vectors
- Linearly Dependent
- Linearly Independent
- 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 Equation
- Eigen Values and Eigen Vectors
- Diagonalization of Matrices
- Cayley-Hamilton theorem and its applications to find inverse