Review of fundamental numerical analysis concepts (roundoff & truncation error, statically error). Numerical solution of equation (Bisection, false position, secant, Newton’s, and fixed position methods). Numerical solution of linear systems of equations (Jacobi&Gauss-seidel methods), and Gauss elimination method.Interpolation and curve fitting of engineering data (Linear & Quadratic interpolation, finite difference operators, Newton’s forward and Lagrange methods).Numerical integration (Trapezoidal & Simpson’s methods).Numerical solutions of first and second order of differential equations using (Euler’s, Tayler’s, Modified Euler’s, Midpoint, Milne’s, Runge-Kutta methods).
