Error analysis (absolute and relative error) – Solution of nonlinear equation in one variable (Bisection method, Fixed point method, Newton’s method + error analysis) – Direct and iterative methods for solving linear systems (Gaussian elimination method, Cramer’s method, LU method, Jacodi and Gauss-Seidel iterative method + error analysis) – Interpolation (Lagrange polynomial, Divided difference + error analysis) – Least square method – Numerical integration (Rectangular rule, Trapezoidal rule, Simpson’s rule, Midpoint rule + error analysis) – Numerical Differentiation (First and second approximation) – Numerical solution of ordinary differential equation (Euler’s method, Runge-kutta methods, …).