| 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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Teaching Methodologies and Assessment Criteria |
.Continuous assessment will be conducted through two written exams and four mini-tests. Each written exam will last 2 hours and will be worth 8 points; each mini-test will be worth 1 point.
The final grade (CF) for the teaching-learning process will be assigned according to the following formula:
CF = (P1 + P2 + MT1 + MT2 + MT3 + MT4)
where P1 and P2 are the grades obtained on the written exam, and MT1, MT2, MT3, and MT4 are the mini-tests.
The student will pass if the teaching-learning grade or the exam grade (0 to 20 points) is equal to or greater than 10 points after rounding to the nearest whole number.
• An oral exam is mandatory for all students who wish to obtain a grade equal to or greater than 16 (sixteen) points.
• If the student does not attend the oral exam, they will receive a grade of 15 points. The student must personally express, to the UC professor, their intention to take the oral exam.
The student will be admitted to the exam if they have:
• a teaching-lear
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Language |
Portuguese. Tutorial support is available in English.
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