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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 operators
  • Interpolation using Newton’s forward and backward difference formulae
  • Interpolation with unequal intervals
  • Newton’s divided difference formulae
  • 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 method
  • Crout’s method
  • Jacobi’s method
  • Gauss-Seidal method
  • Relaxation method
Unit 2 notes
Unit 3 Numerical Methods – 3 16 topics
  • Ordinary differential equations
  • Taylor’s series
  • Euler’s method
  • Modified Euler’s method
  • Runge-Kutta method of fourth order for first order equations
  • Runge-Kutta method of fourth order for second order equations
  • Milne’s predicator-corrector method
  • Adam’s predicator-corrector method
  • Partial differential equations
  • Finite difference solution of two dimensional Laplace equation
  • Finite difference solution of Poission equation
  • Implicit method for one dimensional heat equation
  • Explicit method for one dimensional heat equation
  • Bender-Schmidt method
  • Crank-Nicholson method
  • 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
  • Convolution theorem
  • Evaluation of integrals by Laplace transform
  • Solving ODEs by Laplace Transform method
  • Fourier transforms
Unit 4 notes
Unit 5 Concept of Probability 6 topics
  • Probability mass function
  • Probability density function
  • Discrete distribution: Binomial
  • Discrete distribution: Poisson’s
  • Continuous distribution: Normal Distribution
  • Continuous distribution: Exponential Distribution
Unit 5 notes
Read the full syllabus