Numerical Methods

Numerical Methods

Cod: 22028

Department: DCET

Department: DCET

ECTS: 10

Scientific area: Mathematics

Scientific area: Mathematics

Total working hours: 260

Total contact time: 40

Total contact time: 40

In this curricular unit the elementary concepts of the theory of errors are introduced and numerical methods are studied to approximate functions, calculate integrals and solve ordinary differential equations.

numerical analysis

approximation of functions

numerical integration

ordinary differential equations

approximation of functions

numerical integration

ordinary differential equations

At the end of the curricular unit the student should be able to know the most important numerical methods (and its computational implementation) for the resolution of some mathematical problems of difficult analytical treatment.

- Introduction to the theory of erros
- Approximation of functions
- Numerical calculation of integrals
- Numerical solution of ordinary differential equations

P*.* Serranho**,** *Matemá**tica Aplicada e An**á**lise Num**é**rica - Uma Introdução com Octave*, Sebenta em PDF, 2017 - available at the e-learning platform

**Complementary bibliography:**

- C. Alves, Fundamentos de Análise Numérica I, AEIST - Secção de Folhas (290 pg.), 2001
- R. Kress, Numerical Analysis, Springer, 1998
- D. Kincaid, W. Cheney, Numerical Analysis - Mathematics of Science Computing, 3rd edition, American Mathematical Society, 2009
- A. Quarteroni, F. Saleri, Cálculo Científico com Matlab e Octave, Springer, 2007
- Valença, R., Análise Numérica, Universidade Aberta, Lisboa, 1996

E-learning

Evaluation is made on individual basis and it involves the coexistence of two modes: continuous assessment (60%) and
final evaluation (40%). Further information is detailed in the Learning Agreement of the course unit.