Curricular Unit:			Code:
Mathematics and Statistics			1096MEST
Year:	Level:	Course:	Credits:
1	CTSP	Health Services Aid	4 ects
Learning Period:		Language of Instruction:	Total Hours:
Winter Semester		Portuguese/English	52
Learning Outcomes of the Curricular Unit:
Understand the main concepts of mathematics and statistics. Solve problems by applying concepts of mathematics and statistics. Use critical and reflective spirit in the analysis of the results obtained. Perform an adequate collection of data for treatment. Organize the data in order to facilitate its reading, characterization and treatment. Apply the knowledge acquired in professional practice.
Syllabus:
1. MATRICES AND OPERATIONS WITH MATRICES 1.1. Matrix definition and matrix types 1.2. Matrix operations 2. LOGIC AND SET THEORY 2.1. Definition and logical value of a proposition 2.2. Propositional calculation 2.3. Truth tables 2.4. Properties of the propositional calculation 2.5. Condition definition and its classification in a universe 2.6. Quantifiers 2.7. Representation of sets 2.8. Operations on sets 3. SUMMATION 3.1. Definition and examples 3.2. Summation properties 4. COMBINATORY ANALYSIS 4.1. Factorial definition and factorial operations 4.2. Arrangements and combinations: definition, properties and application 4.3. Newton's binomial 5. ELEMENTARY NOTIONS OF STATISTICS 5.1. Introduction to the study of statistics 5.2. Populations and samples, sample units and variables 5.3. Data analysis (univariate and bivariate data) 5.4. Probability and conditional probability
Demonstration of the Syllabus Coherence with the Curricular Unit's Objectives:
The syllabus presented covers the essential areas of knowledge and consistently achieves the objectives, since all the topics included in the program cover the main aspects of the study that enables the student to correctly select and apply the available mathematical and statistical tools to use in the professional practice.
Teaching Methodologies (Including Evaluation):
An expository, descriptive and demonstrative methodology is used, using problem solving and guided study, in order to introduce knowledge and techniques and to facilitate the understanding and application of fundamental methods in the field of mathematics and statistics. The evaluation is continuous, and includes the following items: - Individual written tests (90%); - Student performance, taking into account class attendance, the resolution of exercises outside classes, the attitude and active participation in class and in tutorial orientation (10%).
Demonstration of the Coherence between the Teaching Methodologies and the Learning Outcomes:
The proposed methodologies are consistent with the learning objectives of the course, as they establish a close and continuous articulation between the introduction of theoretical concepts, the presentation of practical examples and the resolution of problems and exercises. This approach allows for the interpretation and practical application of the concepts and methods involved in mathematics and statistics.
Reading:
[1] Anton, H; Bivens, I.C.; Davis, S. Calculus: Early Transcendentals, 12th Edition, Wiley, 2021. [2] Anton, H. Elementary Linear Algebra, 12th Edition, Wiley, 2020 [3] Maroco, J. (2018). Análise Estatística com o SPSS statistics (7a edição). Lisboa. Editora ReportNumber. [4] Murteira, B., Pimenta, F., Ribeiro, C.S., Pimenta, C. and Silva, J.A., (2015). Introdução à Estatística (3ª ed.). Lisboa: Escolar Editora.
Lecturer (* Responsible):
Alzira Dinis (madinis@ufp.edu.pt)