Course contents: Introduction to Numerical Analysis. Errors: Errors in calculations. Interpolation: Introduction, Lagrange Interpolation, Newton Interpolation, Difference Quotient, Finite Differences, NewtonGregory Polynomials, Correction in Interpolation. Approximation Theory: Introduction, Polynomial Approximation, Least Squares Theory, Chebyshev Technique. Numerical Differentiation: Introduction, Method of Undetermined Coefficients. Numerical Integration: Introduction, Newton-Cotes Methods, Method of Undetermined Coefficients. Numerical Solution of Nonlinear Equations: Introduction, Bisection Method (Bolzano), Fixed Point Iteration Method, Method of Newton-Raphson.

Assessment: Written exams at the end of the semester. It is possible that home assignments will be given, which will contribute to the final grade with a percentage ranging between 15% and 25%.