Subject Code: MA6L001  Name: Mathematical Methods  LTP: 310  Credit: 4 

Prerequisite: None  
Probability and Statistics : Random variables (rv) and their properties, some standard discrete and continuous rv, Expectation, Variance, moments, moment generating functions, functions of a rv, their distribution and moments, joint, marginal and conditional distribution and independence of rvs, Hypothesis testing. Numerical solutions of systems of linear equations: Gauss elimination, LU decomposition, GaussJacobi and GaussSeidel methods. Numerical methods of ODE and PDE: RungeKutta and finite difference methods for ODE, Finite difference methods for solving 2D Laplace’s equation, Poisson’s equation, 1D heat equation : Bender Schmidt, Crank Nicholson method and Du Fort Frankel methods, 1D wave equation using Explicit method. Consistency and stability analysis. Text/Reference Books:
