Code: | M2022 | Acronym: | M2022 | Level: | 200 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Mathematics |
Active? | Yes |
Responsible unit: | Department of Mathematics |
Course/CS Responsible: | Bachelor in Physics |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
L:F | 10 | Official Study Plan | 2 | - | 6 | 56 | 162 |
L:M | 66 | Official Study Plan | 2 | - | 6 | 56 | 162 |
Acquisition of basic concepts of Probability and Statistics and their application to concrete situations.
On completing this curricular unit it is expected that the student
a.dominates the probability calculus and knows to calculate probabilities associated with the phenomenon under study;
b. be able to characterize random variables and identify the respective probability distributions;
c. can identify appropriate techniques of descritive statistics to organize and summarize data and interpret them;
d. be able to infer population parameters from a sample of that population applying techniques of interval estimation.
1. Probability Theory: review of fundamental concepts, probability space (sample space, sigma-algebra, probability measure), independence and conditional probability, Bayes’ and total probability theorems.
2. Random Variables: characterization, discrete and continuous models, bidimensional random variables, function of a random variable, moments, Chebyshev's inequality, central limit theorem and law of large numbers.
3. Descriptive Statistics: fundamental concepts and tecniques for summarizing data.
4. Statistical Inference: sample distributions, estimators properties, confidence intervals for the usual population parameters.
The contents of the syllabus are mainly presented in the lectures, providing examples in order to illustrate and motivate the concepts and methods considered. Some specific topics are only presented in the classes, where exercises and related problems are solved and discussed.
All resources are available for the students at the unit’s web page.
designation | Weight (%) |
---|---|
Teste | 100,00 |
Total: | 100,00 |
designation | Time (hours) |
---|---|
Estudo autónomo | 106,00 |
Frequência das aulas | 56,00 |
Total: | 162,00 |
1. In the first call the final mark will be the sum of the scores obtained in two assessments:
Assessment 1: with a total of 8 points, will take place in a date to be settled with students.
Assessment 2: with a total of 12 points, will take place during the period settled for conclusion of distributed evaluation.
2. In the second call, the final mark will be obtained in an exam with a total of 20 points.
This exam will be divided in two parts, allowing the students which have not yet been aproved in the course (and only these students) to substitute the score in any of the two parts by the score obtained in the corresponding assessment.