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Presentation
Presentation
This course unit aims to provide foundational knowledge in Quantitative Methods within the scope of the Civil Protection Bachelor's degree. By the end of the course, students should be able to: Review and consolidate basic mathematical knowledge, particularly regarding the graphical representation of functions; Understand the importance of statistical analysis of data and results; Master sampling techniques, identifying and avoiding common errors; Organize and process data sets, perform mathematical adjustments to bivariate data, and interpret the results; Understand the concept of probability and recognize key theoretical distributions; Apply statistical inference methods, including point and interval estimation, hypothesis testing, and analysis of variance; Use tools such as Excel and SPSS to apply the concepts covered.
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Class from course
Class from course
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Degree | Semesters | ECTS
Degree | Semesters | ECTS
Bachelor | Semestral | 7
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Year | Nature | Language
Year | Nature | Language
1 | Mandatory | Português
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Code
Code
ULP7021-4944
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Prerequisites and corequisites
Prerequisites and corequisites
Not applicable
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Professional Internship
Professional Internship
Não
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Syllabus
Syllabus
1. Fundamentals of mathematics. 1.1. Fundamentals about Cartesian referentials and plane analytic geometry. 1.2. Fundamentals about functions and their graphical representation. 1.3. Interpretation of the graph of a function. 2. Statistics. 2.1. General concepts. 2.2. Sampling. 2.3. Descriptive statistics. 2.4. Correlation and Regression. 2.5. Introduction to probability theory and distributions. 2.6. Statistical Inference: point and interval estimation. 2.7. Hypothesis testing. 2.8. Variance analysis.
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Objectives
Objectives
It is intended that the student internalizes the variable and random nature of phenomena and the need to treat data and results taking this aspect into account. Thus, the objective is to ensure that the student acquires essential concepts about functions and their graphical representation and the ability to statistically treat different sets of data, being able to draw conclusions. At the same time, he or she must also associate probabilities with some everyday events, learn to apply some theoretical statistical distributions in various situations and also master statistical inference tools, hypothesis testing and variance analysis. In order to achieve the proposed objectives, the teaching sessions will consist of dynamic presentations of theoretical concepts alternating with the resolution of exercises in individual or group mode. The student will be motivated to use Excel and SPSS to achieve several of the previous objectives.
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Teaching methodologies and assessment
Teaching methodologies and assessment
This course unit will use active learning methodologies, such as Flipped Classroom. Student engagement and timely access to learning materials will be key to supporting participation. The choice of tools is also relevant, with digital resources such as Excel and SPSS selected to match the topics covered. Connecting prior knowledge to practical exercises enhances learning, consolidates knowledge, and helps identify difficulties. Tutorial support sessions will play an essential role in fostering self-directed learning. Continuous assessment and two in-class tests will further help keep students motivated to achieve the intended learning outcomes.
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References
References
Artur F. Costa (2018). Alguns elementos sobre funções reais de variável real - Funções polinomiais e racionais. Universidade Lusófona (internal publishing). Guimarães, R. C. e Cabral, J. A. S. (2007). Estatística, Editora McGraw-Hill de Portugal, Alfragide. Hoaglin, D.C., Mosteller, F., Tukey, J.W. , Análise exploratória de dados Técnicas Robustas, Lisboa,Edições Salamandra, LDA. Maria Helena Pestana e João Nunes Gageiro (2014), Análise de Dados para Ciências Sociais A complementaridade do SPSS, 6.ª ed., Edições Sílabo, Lisboa , Portugal. Ribeiro, S. S., Pimenta, C., Pimenta, F., , Murteira, B., e Silva, J. A. (2023). Introdução à Estatística, 4ª ed. Apontamentos a fornecer durante as aulas / Handouts provided throughout the lessons by teachers.
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Office Hours
Office Hours
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Mobility
Mobility
No