Due to the increasing complexity and/or dimension of engineering and scientific problems, the analytical solution of these problems often becomes impractical. In order to solve such problems, many methods were developed to numerically obtain solutions using digital computers. As a consequence, computers became fundamental tools to work in the engineering and science areas, where specialized software packets offer programs to solve a wide gamma of problems. Thus, knowing the main numerical methods for engineering and sciences became fundamental to guide their correct usage, as well as to understand their main advantages, disadvantages and limitations.

This course has as an objective to introduce the student to computational methods applied to the numerical solution of engineering problems, especially in the context of telecommunications engineering.

• Fundamentals of Calculus.
• Linear Algebra.
• Introduction to Computer Programming.

• Errors in numerical approximation.
• Roots of functions.
• Numerical solution of systems of nonlinear and linear equations.
• Interpolation and regression.
• Numerical differentiation and integration.
• Solution of ordinary differential equations.
• Applications to telecommunication engineering problems.

1. Amos Gilat and Vish Subramaniam, Métodos Numéricos para Engenheiros e Cientistas: Uma Introdução com Aplicações Usando o Matlab, Artmed/Bookman, 2008.
2. Steven C. Chapra and Raymond P. Canale, Métodos Numéricos para Engenharia, Artmed/McGraw-Hill, 2008.
3. Neide M. B. Franco , Cálculo Numérico, Pearson, 2006.
4. Richard L. Burden and J. Douglas Faires, Análise Numérica, Cengage-Learning, 2008.
5. Anne Greenbaum and Timothy P. Chartier, Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms, Princeton University Press, 2012.
6. John H. Mathews, Kurtis K. Fink, Numerical Methods Using Matlab, Pearson, 2004.
7. J. Douglas Faires, Richard L. Burden, Numerical Methods, Cengage Learning, 2002.
8. Won Y. Yang, Wenwu Cao, Tae-Sang Chung, John Morris, Applied Numerical Methods Using Matlab, Wiley-Interscience, 2005.