Quantitative Methods Applied to Business Sciences

This curricular unit (CU) will have a frequency regime consisting of 2 weekly theoretical and practical classes of 1.5 hours each.

The expository methodology will be used for the presentation of the UC concepts, supported by the practical component by carrying out exercises to apply the transmitted concepts.

The practical component will seek to approach, as much as possible, the problems of administration, economics and management that students will encounter in their professional life.

In order to better monitor the contents taught in class, active moments of individual or pair learning will be used, which will take place at key moments of the semester.

Aims and Learning Outcomes

Goals:

Structuring problems;

Study methods and functions to solve problems in the field of administration, economics and management

Use the correct mathematical technique to reach the solution;

Criticize results;

Prepare answers based on the analysis of the results;

Skills:

Apply methods and functions to problems related to the syllabus of other curricular units;

Model problems;

Solve systems;

Calculate and interpret derivatives of functions in different contexts

Determine the optimal solution 

Syllabus
Part 1. Matrix calculation

1. Systems of Linear Equations and Examples of Linear Models – Gauss and Gauss Elimination Method – Jordan.

2. Matrix algebra and its use.

3. Determinants.

4. Examples and applications (Portfolio Theory, IS-LM analysis, Leontief input-output matrix)

Part 2. Real functions
      1. Functions of one real variable

           1.1. Generalities.
           1.2. Limits and continuity.
           1.3. Derivative and derivation rules. Calculation of approximate values with differentials. Calculation of extremes.
           1.4. Fundamentals of primitives and integration.
           1.5.Examples and applications (production functions; cost, revenue, profit functions, respective marginal functions, Annuities, Present Value problems, and Optimal waiting time).

        2. Functions of two real variables

NAO

Reference books in the English version

Goldstein, L.J., Lay, D.C., Schneider, D.I., Matemática Aplicada: Economia, Administração e Contabilidade, 8a Edição, Bookman, 2000.
Tan, S.T., Matemática Aplicada à Administração e Economia, Pioneira Thomson Learning, 2001.