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BT-301 RGPV B.Tech

Mathematics-III

Previous year papers and the official syllabus are free to read, no account needed.

Previous Year Papers

4 papers, latest Dec 2025

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Syllabus, notes and important questions for BT-301

Syllabus units

Topics as the official RGPV syllabus lists them.

Unit 1 Numerical Methods – 1 10 topics
  • Solution of polynomial and transcendental equations
  • Bisection method
  • Newton-Raphson method
  • Regula-Falsi method
  • Finite differences
  • Relation between operator differences
  • Interpolation using Newton's forward and backward difference formulae
  • Interpolation with unequal intervals
  • Newton's divided difference
  • Lagrange's formulae
Unit 1 notes
Unit 2 Numerical Methods – 2 11 topics
  • Numerical Differentiation
  • Numerical integration
  • Trapezoidal rule
  • Simpson's $1/3$ rule
  • Simpson's $3/8$ rule
  • Solution of Simultaneous Linear Algebraic Equations by Gauss's Elimination
  • Gauss's Jordan
  • Crout's methods
  • Jacobi's
  • Gauss-Seidal
  • Relaxation method
Unit 2 notes
Unit 3 Numerical Methods – 3 10 topics
  • Ordinary differential equations
  • Taylor's series
  • Euler method
  • Modified Euler's methods
  • RungeKutta Method of fourth order for solving first and second order equations
  • Milne's and Adam's predator-corrector methods
  • Partial differential equations
  • Finite difference solution two dimensional Laplace equation and Poisson equation
  • Implicit and explicit methods for one dimensional heat equation (Bender-Schmidt and Crank-Nicholson methods)
  • Finite difference explicit method for wave equation
Unit 3 notes
Unit 4 Transform Calculus 8 topics
  • Laplace Transform
  • Properties of Laplace Transform
  • Laplace transform of periodic functions
  • Finding inverse Laplace transform by different methods
  • convolution theorem
  • Evaluation of integrals by Laplace Transform
  • solving ODEs by Laplace Transform method
  • Fourier transforms
Unit 4 notes
Unit 5 Concept of Probability 8 topics
  • Probability Mass function
  • Probability Density Function
  • Discrete Distribution
  • Binomial
  • Poisson's
  • Continuous Distribution
  • Normal Distribution
  • Exponential Distribution
Unit 5 notes
Read the full syllabus