Code: | EMG0020 | Acronym: | ME |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Mathematics |
Active? | Yes |
Responsible unit: | Mining Engineering Department |
Course/CS Responsible: | Bachelor in Mining and Geo-Environmental Engineering |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
LCEEMG | 17 | Plano de estudos oficial a partir de 2008/09 | 2 | - | 6 | 56 | 162 |
This UC aims to develop in students the ability to communicate accurate when referring to subjects that are based on concepts of Probability and Statistics. This UC also intends to develop a critical attitude when necessary to the analysis of statistical problems as well as the ability to apply the concepts acquired solving them. The acquisition of fundamental knowledge will give students the ability to acquire more advanced concepts that arise in the course and / or professional.
The scientific component is 100%.
At the end students should be able to:
- Solving common problems involving probability theory, random variables, distributions, sampling, interval estimation and hypothesis testing for parametric and non-parametric;
- Formulate and interpret the key concepts of statistics;
- Using the tools of descriptive statistical analysis of sample data or population.
1. Brief review of concepts:
- Combinatorial Analysis;
- Theory sets.
2. Probability theory: events and probabilities, concepts definitions and applications.
3. Random variable: discrete and continuous variables, functions and probability distribution parameters, sums and n-dimensional distributions.
4. Distributions: Distributions theoretical discrete and continuous approximations and sums.
5. Descriptive Statistics: Sampling. Analysis, graphical representations, parameters and distribution of measurements;
6. Estimation: Point and interval estimators for normal populations and not normal (central limit theorem and Tchebycheff inequality.
7. Hypothesis testing: Hypothesis testing parametric normal and non-normal populations.
8. Chi-square: independence and homogeneity adjustment.
9. Regression analysis and correlation.
10. Statistical data analysis using Microsoft Excel.
In class concepts are presented and important results associated with an emphasis on geometric interpretations and practical applications. In order to clarify the definitions and theorems presented, several exercises are solved and illustrative applications are presented. The aim is to, whenever possible, the participation of students, not only in solving the exercises, but also in introducing new concepts. It remains to enhance the resolution of individual exercises and the guidance should be in the study of discipline and clarify questions that may arise in proposal exercises.
Designation | Weight (%) |
---|---|
Teste | 100,00 |
Total: | 100,00 |
Designation | Time (hours) |
---|---|
Estudo autónomo | 112,00 |
Frequência das aulas | 50,00 |
Total: | 162,00 |
Gets UC to this frequency, the current school year, every student: - Regularly enrolled in UC and does not exceed the maximum number of absences. Regarding the assessment there are three different times, and they were the following: 1) 1st and 2nd Tests - to be marked; 2) Exam resource (R) (all matter) - to be marked.
Regarding the assessment there are three distinct stages:
1) 1st and 2nd Tests;
2) Examination Appeal.
The final match of the course (0-20):
- Arithmetic mean of the tests;
or
- The classification of exam.
Students who are under special statutes or having the or who have had previous years frequency, are exempt frequency. The approval can be obtained by performing the tests or the exam resource (R), the final classification is done according to the previous point.
Students wishing to undertake improvement of classification may submit the evaluation defined for the UC according with existing regulations.
Language of instruction: Portuguese