Overall objectives:

1 - Apply basic knowledge of linear algebra and differential calculus, as well as concepts of descriptive statistics and probability, to practical problems in accounting and taxation.
2 - Develop logical-deductive reasoning and the abilities to analyse, interpret data, and think abstractly.
3 - Foster skills in modelling, analytical rigour, and the communication and presentation of quantitative data and results.
4 - Apply mathematical and statistical methods to solve problems.
5 - Manipulate matrices, solve linear systems, compute derivatives, interpret rates of change, organise and analyse data using descriptive statistics, and calculate probabilities.
6 - Consolidate knowledge of mathematics in pre-higher education, developing numerical manipulation and problem-solving skills.

Syllabus:

1 - Notions of linear algebra.
1.1 - Matrices.
1.2 - Systems of linear equations.
1.3 - Determinants.
2 - Differential calculation with real functions of a real variable.
2.1 - Real functions of a real variable.
2.2 - Limits and continuity.
2.3 - Rate of change and derivative: definition and geometric interpretation.
2.4 - Derivatives: derivation rules and applications.
3 - Introduction to descriptive statistics and data analysis.
3.1 - Data organisation and presentation.
3.2 - Measures of central tendency and variability.
3.3 - Analysis and interpretation of findings.
4 - Introduction to probability theory.
4.1 - Fundamental concepts of probability.
4.2 - Simple and conditional probability.
4.3 - Odds and odds ratios.

Literature/Sources:

Harshbarger, R. J. & Reynolds, J. J. , 2006 , Matemática Aplicada - Administração, Economia e Ciências Sociais e Biológicas , McGraw-Hill Interamericana do Brasil
Pestana, D. & Velosa, S. , 2010 , Introdução à Probabilidade e à Estatística , Fundação Calouste Gulbenkian
Triola, M. F. & Franklin, L. A. , 1995 , Business statistics , Addison-Wesley
Cabral, I., Perdigão, C. & Saiago, C. , 2009 , Álgebra linear , Escolar Editora
Apostol, T. M. , 1998 , Cálculo , Revérte

Assesssment methods and criteria:

Classification Type: Quantitativa (0-20)

Evaluation Methodology:
Teaching methodologies: Lectures and practical classes combining exposition with problem-solving activities. Assessment method: Assessment is quantitative (0-20 scale) and is based on one of the following sets of assessment components (to be defined by the course lecturer at the beginning of the semester): (i) Two mid-term tests, each with equal weighting in the final grade; (ii) Three mid-term tests, with weightings of 30%, 30%, and 40% in the final grade.