Introduction to Probability and Statistics

Code: MAT00925L

6 ECTS

Duration: 15 weeks/154 hours

Scientific Area: Mathematics

Teaching languages: Portuguese

Languages of tutoring support: Portuguese

Sustainable Development Goals

Educação de qualidade - Assegurar a educação inclusiva, e equitativa e de qualidade, e promover oportunidades de aprendizagem ao longo da vida para todos.

Learning Goals

This course is for students in the 2nd semester of 2nd year in various degrees, particularly in Biology, Environmental Science, Civil Engineer, Water Resources Engineering, Geological Engineering, Computer Engineering, Mechatronics Engineering, Chemical Engineering , Chemical Physics, Chemistry and Mathematics and Applied Mathematics and Computer Science. In general, it is intended that, when they finish the course, students have a basic knowledge of different topics of Probability and Statistics presented, able to read / understand the literature related to the use of Statistics in their area, and later correctly apply the appropriate techniques and interpret results. In particular, it is intended that the student is able to:

carry out the initial analysis of sample data using the basic techniques of descriptive statistics;
translate the language of probability theory, uncertainty initially expressed in natural language, given the basic concepts of probability grounds, which include the main probability distributions;
formulate and solve basic problems of statistical inference with sufficient knowledge of the techniques in order to help build simple models of real situations and recognize situations in which statistical techniques should be used, being able to distinguish and describe clearly the sampling issues, the population issues and problems and techniques to use to tackle the various problems;
use the existing computer resources, statistical software and / or spreadsheet, as a useful tool for performing a statistical analysis did not neglect the primary purpose of any investigation, interpretation of the results and presentation of the findings of the analysisNote: Whenever possible, go-to resort to computer facilities available, including the SPSS software to address the issues described.

Descriptive Statistics
Basic Probability Notions
Conditional probabilities and independence
Random Variables and Vectors
More important Discrete and Continuous distributions
Statistical Inference (parametric and non parametric)
Linear Regression Analysis

Teaching Methods

Theoretical classes will be taught using slide projections, complemented with the exposition of the subjects on the board. Theoretical contents will be illustrated with application examples related to the course area. In practical laboratory classes, students will solve application exercises using computational tools. In the evaluation of the discipline, the student can opt for continuous evaluation or exam. The continuous assessment regime consists of carrying out two frequencies (0-20), with the same weight, with a minimum score, in each, of 7 values. The final grade is the average of the frequencies. The assessment system by exam requires the student to obtain a minimum grade of 9.5 (normal, appeal and special seasons).
Students who so wish can do a computational work developed in the free software R, which increases the final grade of the evaluation by 20% as long as the grade of the work is greater than or equal to 8 values. The works must be discussed

Assessment

Continuous assessment: Three frequencies. If the mean of the frequencies is less than 9.5 (in a 0-20 scale. The minimum note in the first frequency is 7,5), the students will have the chance to take one more exams. Participation in classes will also contribute to the final mark.

Not continuous assessment: The student will have the chance to take two exams.