Curricular Unit:Code:
Mathematics and Laboratory Statistics I1100MEL1
1CTSPLaboratory Analyses4 ects
Learning Period:Language of Instruction:Total Hours:
Winter SemesterPortuguese/English52
Learning Outcomes of the Curricular Unit:
Mathematics and Laboratory Statistics I proposes to introduce and promote the knowledge of basic mathematical tools and techniques of descriptive statistical analysis. The fundamental objectives / competences of the course determine that at the end of the semester the student should be able to:
OA1 - Master the techniques of algebraic calculus, including logarithms and exponentials;
OA2 - Master some aspects of the collection, analysis and interpretation of research data;
OA3 - Represent data graphically and calculate statistics.
1. Review of some concepts
1.1. Algebra of fractions
1.2. Algebra of exponents
1.3. Polynomial algebra
2. Functions in R
2.1. Basic concepts - domain and graphic representation
2.2. Exponential and logarithmic functions
2.3. Algebraic equations
3. Elementary notions of statistics
3.1. Introduction to the study of statistics
3.2. Populations and samples, sample units and variables
4. Univariate data analysis
4.1. Frequency tables
4.2. Graphical representations
4.3. Sampling characteristics for unclassified data (location measures, dispersion measures, skewness and kurtosis)
Demonstration of the Syllabus Coherence with the Curricular Unit's Objectives:
Laboratory Mathematics and Statistics I works as an auxiliary tool in laboratory analysis. The selected syllabus are basic mathematical tools and exploratory data analysis, indispensable tools in the planning, interpretation and conclusion of a laboratory analysis.
The syllabus was designed according to the learning objectives of the course. To achieve OA1 the student will have to acquire a satisfactory level of knowledge of the syllabus 1 and 2. The OA2 and OA3 will be achieved if the student acquires a satisfactory level of knowledge of the program contents 3 and 4.
Teaching Methodologies (Including Evaluation):
Oral presentation and explanation of the programmatic contents, with the support of audiovisual media.
Appeal to the active participation of the students, through an interrogative methodology.
Solving exercises including the use of the excel program.
The minimum percentage of frequency in the theoretical-practical lessons of this subject is of 50%, according to UFP Pedagogical Regulation.
Evaluation is periodic with two tests, each with an equal weight of 50%.
Students who present a final classification inferior to 10 values in continuous evaluation are consider non-approved and do have to perform a final examination.
Demonstration of the Coherence between the Teaching Methodologies and the Learning Outcomes:
The teaching-learning methodologies of this curricular unit were programmed to enhance the concepts learned. Thus, in an initial phase, the oral explanation allows the approach and understanding of the programmatic contents. Classes focus on active and participative methods aiming to maintain students' attention and develop their critical capacity. The resolution of exercises leads to a greater motivation of the students in the application and consolidation of the acquired knowledge. The appeal to the critical sense of the students in the analysis of the results enhances their capacity to interconnect the knowledge and to properly interpret the obtained results.
[1] Anton, H.; Bivens, I; Davis, S. Cálculo – Volume 1, Bookman, 2014
[2] Barreira, Sérgio V. P. Matemática Aplicada às Ciências Farmacêuticas, com Excel vol. 1. ed. 1, 1 vol., ISBN: 9789725924136. Escolar Editora, 2014.
[3] Daniel, W.; Cross, C. Biostatistics: A Foundation for Analysis in the Health Sciences, 11th ed., John Wiley and Sons, 2018.
[4] Reis, E. Estatística Descritiva, 7ª ed., Edições Sílabo, 2009.
Lecturer (* Responsible):
Isabel Abreu (