| Code |
14932
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| Year |
3
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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 |
-
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Learning outcomes |
With this curricular unit it is intended that the student obtain numerical tools to solve the most varied mathematical problems. At the end of this curricular unit the student should be able to:
a) calculate numerically approximations for the eigenvalues and eigenvectors of a matrix
b) solve numerically systems of non-linear equations
c) use computational methods to solve nonlinear programming problems
d) approximate functions
e) obtain numerically solutions of ordinary differential equations with values at the boundary
f) solve differential equations with partial derivatives by numerical methods
g) 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. Approximation of eigenvalues and eigenvectors
2. Numerical Solution of Nonlinear Systems of Equations
3. Nonlinear optimization
4. Approximation of functions
5. Boundary-Value Problems for Ordinary Differential Equations
6. Numerical Solutions to Partial Differential Equations
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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 ed. Boston: PWS-Kent
4. Butcher JC (2008). The Numerical Analysis of Ordinary Differential Equations, 2nd ed. Auckland: John Wiley & Sons
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Teaching Methodologies and Assessment Criteria |
Continuous assessment will be carried out through six practical assignments. The practical assignments are small analytical and computational projects involving the application of the methods studied. Each assignment will be defended with a 10-minute presentation followed by 20 minutes of discussion.
Students pass the course if they obtain a final grade greater than or equal to 10 points, after rounding to the nearest whole number.
Students may also take a final exam worth 20 points. Students are eligible to sit the exam if they have a minimum teaching–learning final grade of 4 points, after rounding to the nearest whole number, and at least 50% attendance in classes. All students with working-student status are eligible to sit the exam. Students who commit fraud or attempt fraud in continuous assessment will be considered not eligible to sit the exam.
Even students who have already passed through continuous assessment may take the exam; the higher grade will be used.
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Language |
Portuguese. Tutorial support is available in English.
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