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                    A.M.Roma's Home Page > Lectured Courses > MAP-2121 

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MAP-2121 Numerical Calculus (Engineering School)

Goals
To introduce the Numerical Calculus to the engineering school students, employing computers to solve numerical problems.

Contents
1. Floating-point arithmetic and roundoff errors.
2. Linear systems: Gaussian elimination, refinement of the solution, and inversion of matrices. Gauss-Seidel Method, Lines and Sassenfeld convergence criteria.
3. Root finding: location, Bisection and Fixed Point Iteration Methods. Error estimates.
4. Curve fitting: Least Squares Method. Orthogonal polinomials and harmonic analysis.
5. Polynomial interpolation: Lagrange and Newton interpolating polynomials. Finite differences. Error estimates.
6. Numerical quadrature: Trapezoidal and Simpson's Methods. Error estimates.

Bibliography
Humes, A.F.P. de C.; Melo, I.S.H.; Yoshida, L.K.; Martins, W.T.: Noções de Cálculo Numérico, McGraw-Hill do Brasil, 1984. Portuguese.

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