Teaching Methodologies
Classroom teaching, favouring the explanation of concepts and results followed by numerical examples either abstract or/and related with applications in the business area and later autonomous resolution of practical exercises, individually or in group, during the semester.
Learning Results
The goals of this subject are:
1. To consolidate knowledge about previuos issues and study some important topics in the interest areas of
the Accounting and Auditing Course;
2. To proportionate a better knowledge of the variety of problems which can be formulated and solved
recurring to mathematical concepts and results and techniques based on them;
3. To develop the critical capacity articulating the issues and highlighting the practical examples for a better
perception and consolidation of issues;
4. To develop the analytical calculation, as well as reasoning, in order to obtain capacities to the problems’
autonomous resolution and stimulate the search and formulation of others.
Skills to be developed: Ability to apply, with opportunity, the subjects to the problems related with the syllabus
Program
Linear Algebra
Matrices
Matrices inversion. Gauss-Jordan method
Systems of linear equations
Gauss elimination and inverse matrix methods
Determinants
Laplace’s theorem
Cramer’s systems.
Real valued functions
Real functions of one variable
Derivative and derivatives rules
Derivatives applications to local extremes
Real functions of two real variables
Definition and graphic representation
First order partial derivatives and application to the stationary points determination
Local extremes by local analysis and by second partial derivatives application
Constrained extremes: Lagrange multipliers method
Differential and application to the approximate values calculation
Integral Calculation
Indefinite Integration
Indefinite integral definition. Generalities
Basic formulas
Definite integrals
Definition and geometric interpretation
Properties
Integral calculation by Fundamental Formula
Curricular Unit Teachers
Internship(s)
NAO
Bibliography
Almeida, Maria H., Rocha, F., Costa, P. E Castelo, M., Fundamentos Teóricos de Álgebra Linear;
– Monteiro, A., Álgebra Linear e Geometria Analítica, McGraw-Hill;
– Almeida, Maria H., Tópicos de Funções Reais e suas Aplicações;
– Tan, S. T., Matemática Aplicada à Administração e Economia, Pioneira, Thomson Learning;
– Goldstein, Larry J., David C. Lay e David L. Schneider, Matemática Aplicada- Economia, Administração e
Contabilidade, Bookman.