Due to the increasing complexity and dimensionality of engineering and scientific problems, analytical solutions often become impractical. To solve such problems, many methods have been developed to obtain numerical solutions using digital computers. As a result, computers have become fundamental tools in engineering and science, where specialized software packages can solve a wide range of problems. Therefore, knowledge of the main numerical methods used in engineering and science is essential both for their correct application and for understanding their main advantages, disadvantages, and limitations.

This course aims to introduce students 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.