Numerical Methods (2140105)  

Syllabus

Sr. Topics Teaching Hours Module Weightage
1
Root finding

Bisection Methods, False position Methods, Newton – Raphson Methods, Secant Methods and Successive Approximation Methods

6
15 %
2
Interpolation Techniques

Newton’s interpolation methods for forward interpolation, backward interpolation and Newton’s divided interpolation method, Langrange’s interpolation methods, Stirling’s interpolation methods, Cubic spline interpolation, interpolation by iteration

6
15 %
3
Numerical Integration

Trapezoidal rule, Simpson’s 1/3rd and 3/8th rule, Weddle’s rule

3
5 %
4
Solution of system of linear equations using Numerical Techniques

Gauss – Jacobi iterative methods, Gauss – Seidel iterative methods

2
5 %
5
Numerical Solution of Ordinary differential equations

Solution of Initial value problems by Taylor’s series, Picard’s methods of successive approximation, Runge – Kutta Method of order 2 and 4, Solution of Boundary value problems by Finite – Difference Methods, Shooting methods

7
20 %
6
Numerical Solution of Partial differential equations

Finite difference approximation to derivatives, solution of Laplace equation, Successive over-relaxation methods, parabolic equations

7
20 %
7
Curve Fitting

Least square curve fitting procedures for linear and non linear curves

4
10 %
8
Finite Element methods

Methods of Approximation - Rayleigh – Ritz Method, Galerkin Methods

4
10 %