| Code |
14938
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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 |
None
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Learning outcomes |
With this curricular unit it is intended that the student obtain numerical tools to solve the most varied problems in physics and related fields.
At the end of this curricular unit the student should be able to:
a) analyze the errors and determine their propagation
b) determine numerically zeros of functions
c) calculate numerically extremes of functions
d) solve numerically systems of linear equations
e) interpolate and approximate functions
f) derive and integrate functions numerically
g) solve equations and systems of differential equations by numerical methods
h) in face of a proposed problem, translate it mathematically, identify possible methods to solve it, choose the most appropriate, implement it and critically analyze the results
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Syllabus |
1. Theory of errors
2. Non-linear equations
3. Extremes of functions
4. Systems of linear equations
5. Interpolation and polynomial approximation
6. Differentiation and numerical integration
7. Ordinary differential equations with initial values
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Main Bibliography |
1. Pina H (1995). Métodos Numéricos. Alfragide: McGraw-Hill
2. Valença MR (1988). Métodos Numéricos. Braga: INIC
3. Burden RI, Faires JD and Burden AM (2015). Numerical Analysis, 10th edition. Boston: PWS-Kent
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Language |
Portuguese. Tutorial support is available in English.
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