Subject: Introduction to Quantitative Methods

Scientific Area:

Mathematics

64 Hours

Number of ECTS:

5 ECTS

Language:

Portuguese

# Overall objectives:

1 - Apply basic knowledge and mathematical techniques to concrete problems in the area of accounting and taxation.
2 - Develop logical-deductive reasoning and analysis and abstraction skills.
3 - Stimulate modeling skills, rigor in analysis and communication and presentation of data and results.
4 - Develop general mathematical skills as tools in problem solving.
5 - Use matrix calculation to solve systems of equations.
6 - Consolidate knowledge of mathematics in pre-higher education, developing numerical manipulation and problem-solving skills.

# Syllabus:

1 - Notions of linear algebra.
1.1 - Matrixies.
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 integral calculus with real functions of a real variable.
3.1 - Indefinite primitives and integrals.
3.2 - Primitivation rules and applications.
4 - 1st order ordinary differential equations.
4.1 - Preliminary definitions.
4.2 - Differential equations of separable variables.
4.3 - Linear differential equations.

# Literature/Sources:

Apostol, T.M. , 1998 , Cálculo , Reverté
Ferreira, C. , 1999 , Introdução à Análise Matemática , Fundação Calouste Gulbenkian
Harshbarger, R. J. & Reynolds, J. J. , 2006 , Matemática Aplicada - Administração, Economia e Ciências Sociais e Biológicas , McGraw-Hill Interamericana do Brasil
Jacques, I. , 1994 , Mathematics for Economics and Business , Addison Wesley
Magalhães, L.T. , 1998 , Álgebra Linear como Introdução à Matemática Aplicada , Texto Editora, Portugal
Monteiro, A.; Pinto, G. & Mendes, C. , 1998 , Álgebra Linear e Geometria Analítica: Problemas e Exercícios , McGraw-Hill, Portugal
Pires, C. , 2011 , Cálculo para Economia e Gestão , Escolar Editora

# Assesssment methods and criteria:

Classification Type: Quantitativa (0-20)

Evaluation Methodology:
The evaluation comprises: Classification type: Quantitative (0-20); Evaluation Model: The Evaluation Methodology: Three tests (frequencies), to be solved individually, with the following weightings in the final grade: 30%, 30% and 40%. All these elements of assessment can be recovered at the time of appeal and be subject to improvement its grade.