| Code |
14648
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| Year |
2
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| Semester |
S2
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| ECTS Credits |
6
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| Workload |
TP(60H)
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| Scientific area |
Mathematics
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Entry requirements |
Basic knowledge of Linear Algebra obtained in the Linear Algebra curricular unit and calculation rudiments learned in the Calculus I curricular unit.
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Learning outcomes |
Present some methods and programming techniques; learning and development of numerical methods to estimate numerical errors of calculation results and using basic concepts. It is also intended that the student is able to implement the numerical methods based on Matlab software.
To estimate computational errors;
To select stable numerical methods;
To implement in Matlab numerical methods;
To demonstrate skills of effective oral and written communication stating the mathematical ideas of
a clear, logical and organized, supported by the correct use of mathematical notation;
To demonstrate self-learning capabilities, which allow to adapt to changing technology and acquisition of new mathematical knowledge independently.
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Syllabus |
1. Mathematical Preliminaries and Error Analysis
2. Solutions of Equations in One Variable
3. Numerical Methods for Solving Systems (linear and non linear)
4. Interpolation and Polynomial Approximation
5. Numerical Differentiation and Integration
6. Initial-Value Problems for Ordinary Differential Equations
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Main Bibliography |
Paulo Rebelo, 'Notas de aula'
- “Numerical Analysis”, R. L. Burden e J. D. Faires, 2011, Brooks/Cole. Cengage Learning.
- “Métodos Numéricos”, M. R. Valença, 1993, Livraria Minho.
- “Introduction to MATLAB with Numerical Preliminaries", A. Stanoyevitch, 2005, John Wiley & Sons.
- “GNU Octave – Beginner’s Guide”, J. S. Hansen, 2011, Packt.
- “Cálculo científico com MATLAB e Octave”, A. Quarteroni e F. Saleri, 2007, Springer-Verlag.
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Teaching Methodologies and Assessment Criteria |
The assessment consists of two tests, T1 (8 values) and T2 (12 values).
A Student is considered not admitted when the frequency classification (T1+T2) is less than 4.0 values ??(without rounding the sum obtained from the two tests).
All students with working student status (duly regularized in academic services) are admitted to the exam.
A Student obtains approval by frequency when the sum of the classifications of the two theses is greater than or equal to 9.5 points.
Any student who obtains a frequency rating equal to or greater than 16.5 must take an extra test. If you do not do so, your frequency classification will be 16 points.
A Student obtains approval (by exam) when they obtain a minimum classification of 9.5.
The final classification is the highest among which the Student attended.
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Language |
Portuguese. Tutorial support is available in English.
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