| Code |
16147
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| Year |
2
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| Semester |
S1
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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 |
N.A.
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Learning outcomes |
Obtain essential knowledge of Probability and Statistical Inference, essential to the future learning of more advanced concepts that arise in the course of academic and/or professional training.
At the end of the course unit the learner is expected to be able to:
1 - identify engineering problems likely to be solved using methodologies of Probability and Statistical Inference;
2 - build probabilistic models adequate to the problems;
3 - select and apply Probability and Statistical Inference methodologies to solve problems;
4 - interpret critically and communicate rigorously the results obtained.
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Syllabus |
1. Introduction to Probability Theory
- axiomatic and properties of probability;
- conditioning and stochastic independence;
- real random variables and moments;
- Probabilistic models: Binomial, Geometric, Poisson, Exponential, Normal;
- Central Limit Theorem and its applications.
2. Introduction to Statistical Inference:
- point Estimation;
- interval estimation;
- hypothesis testing.
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Main Bibliography |
- Gonçalves, E., Nogueira, E. and Rosa, A.C. (2016). Probabilidades e Estatística para Ciências e Tecnologia. Conceitos e exercícios resolvidos. Almedina.
- Montgomery, D. and Runger, G. (2011). Applied statistics and probability for engineers, 5th Edt, John Wiley & Sons.
- Ross, S. (2009). Introduction to probability and statistics for engineers and scientists. Amsterdam Elsevier.
- Murteira, B., Ribeiro, C., Silva, J.A. and Pimenta, C. (2010). Introdução à estatística. Escolar Editora.
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Teaching Methodologies and Assessment Criteria |
The measurement of knowledge and skills acquired by students during teaching-learning is done through two frequencies (classified from 0 to 20 values) with a weighting of 0.5. The final teaching-learning classification (0 to 20 points) is calculated as follows:
CEA=0.5F_1+0.5F_2.
Exemption from the final exam is granted when the final teaching-learning classification is equal to or greater than 9.5 values and attendance exceeds 40%.
The "FREQUENCY" classification is granted when the final teaching-learning classification is greater than or equal to 6 values and less than 9.5.
If the classification is higher than 16, the student must take another test to maintain the grade. The 16 grade is always assured.
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Language |
Portuguese. Tutorial support is available in English.
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