NUMERICAL METHODS Syllabus

 
NUMERICAL METHODS

B.C.A. Part I Semester II

This is the official Numerical Method Syllabus from the RTM Nagpur University (RTMNU)

 UNIT - I: Roots of Non-Linear Equations: Algebraic equation, Polynomial equation, Transcendental equation, Iterative method, Starting & Stopping Iterative method, Bisection Method, False Position method, Newton Raphson Method: Secant Method, Determining all possible roots, Multiple roots of polynomial, Complex Roots using Muller's Method.

 UNIT - II: Solution to Linear Equations Existence of the solution, Gauss Elimination Method, Gauss elimination with pivoting, Gauss Jordan Method, Round off errors and refinement, m Conditioned system, Matrix inversion method.

 UNIT - III: Linear interpolation, Lagrange Interpolation, Spline Interpolation, Interpolation with equidistant points, Least Square regression Fitting, Transcendental equations, Multiple linear regression, m conditioning in the least square

 UNIT - IV: Integration & Differentiation: Trapezoidal Rule, Simpson 1/3 Rule, Simpson 3/8 rule, Gaussian Integration, Solution to the differential equation (using Runge-Kutta second and fourth order methods, Multistep method for differential equations (Milne-Simpson method, Adams-bashforth

Numerical  Methods Note