Numerical methods for Engineers

The course is intended to introduce the student to:  Effective computational techniques for solving common numerical problems those arise in engineering applications in their related fields &  Efficient scientific programming using computational techniques.


Mathematical modeling and engineering problem solving; The number system errors; Solution of non-linear equations: Bisection method, Secant method, Newton's method; Curve fitting: Least square regression, Interpolations, Fourier approximations; Solutions of systems of linear algebraic equations: Matrices, Determinants and inverse problems, Gauss-Siedle iteration, Gaussian-elimination, Numerical equations, Numerical differentiation &integration: Trapezoidal-rule, Simpson's rule, Gaussquadrature, Romberg's integration; Eigen values and Eigen vectors; Solution ofODEs: Euler's method, Runge-Kutta method;