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BT-401 RGPV B.Tech

Mathematics-III

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

Previous Year Papers

8 papers, latest Jun 2026

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Syllabus, notes and important questions for BT-401

Syllabus units

Topics as the official RGPV syllabus lists them.

Unit 1 Numerical Methods – 1 9 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 and Lagrange’s formulae
Unit 1 notes
Unit 2 Numerical Methods – 2 8 topics
  • Numerical Differentiation
  • Numerical integration: Trapezoidal rule and Simpson’s 1/3rd and 3/8 rules
  • 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 and modified Euler’s methods
  • RungeKutta method of fourth order for solving first and second order equations
  • Milne’s and Adam’s predicator-corrector methods
  • Partial differential equations
  • Finite difference solution two dimensional Laplace equation and Poission 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 4 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