Computer Programming & Numerical Methods

Numerical Methods : Syllabus/Content

1. Approximations and Errors associated with numerical methods.

2. Solution of non-linear equations: Bisection method, method of false position, Newton-Raphson method.

3. Solution of linear simultaneous equations: Direct methods / Gauss-Jordan elimination, matrix inversion using Gauss-Jordan elimination

Iterative methods / Jacobi’s method

4. Methods for interpolation: Newton’s forward difference formula, Newton’s backward difference formula, Lagrange’s formula.

5. Curve fitting: Method of least squared error

6A. Methods for differentiation: Computation of derivatives using Newton’s forward/backward/central difference formulae.

6B. Methods for Integration: Trapezoidal method, Simpson’s method.

7A. Solution of differential equations: Euler’s method, modified Euler’s method, Runge-Kutta 2nd and 4th order formulae

7B. ----- optional ------ . Solution of partial differential equations

MATLAB

1. History and Features <-- Ytube 2. MatLab Environment <-- Ytube 3. Vectors_Matrices <-- YTube

4. functions_operators <-- YTube 5. Plots <-- YTube 6. GUI_image processing <-- YTube

7. File_I_O_strings <-- YTube