Teaching Methodologies
The teaching of Mathematics will be approached considering a pedagogical model that aims to engage students actively, providing
meaningful and applicable learning. Following this model, the objectives are:
– Structure the course around practical problems and real challenges, encouraging students to develop their mathematical skills while
addressing concrete issues in management and finance.
– Present specific and contextualized mathematical examples in finance, demonstrating the relevance and direct application of mathematical
concepts in the financial field.
– Integrate the use of technology, such as the GeoGebra software, to enhance mathematical understanding and facilitate problem-solving.
– Provide constructive feedback throughout the learning process, encouraging reflection on mathematical approaches and providing
guidance for continuous improvement.
– Conduct dedicated problem-solving group sessions, where students can discuss strategies, share ideas regarding applied mathematics.
– Implement regular formative assessments to monitor students’ progress, identify areas for improvement, and provide opportunities for
corrections throughout the course.
By aligning these methodologies with the pedagogical model, the intention is to create a dynamic, relevant, and engaging learning
environment where students not only acquire mathematical skills but also understand their direct application in the context of finance and
accounting.
Learning Results
Objectives:
1. To formulate problems.
2. To explore methods and techniques for problem-solving with applications in Finance and Accounting.
3. To apply the appropriate mathematical techniques to attain solutions.
4. To evaluate and discuss results critically.
5. To formulate responses based on result analysis.
Skills:
1. To model problem scenarios.
2. To apply methods to problems associated with the content of other curricular units.
3. To solve systems of linear equations.
4. To compute and interpret derivatives of functions across diverse contexts.
5. To optimize functions.
6. To address differential and difference equations within the financial context.
Program
1. Matrices and Applications
1.1. Resolution and discussion of systems of linear equations – Gaussian elimination method and Gauss-Jordan method
1.2. Matrix algebra and its application
1.3. Determinants
1.4. Examples and applications in the context of Management, Accounting, and Finance
2. Real Functions of a Real Variable
2.1. Generalities
2.2. Graphical representations of functions and their interpretation (using software)
2.3. Limits and continuity
2.4. Derivatives: definition, geometric interpretation, and derivation techniques
2.5. Differentials and approximate values
2.5. Extremum calculation
2.6. Examples and applications in the context of Management, Finance, and Accounting
3.Integration
3.1. Concepts, fundamental properties, and calculation
3.2. Differential equations and interpretation of level curves
3.3. Difference equations and their applications in the field of Finance
4.Sequences and Series with application to investment and loan values at different moments
Internship(s)
NAO
Bibliography
Breda, A. d’A., Costa, J. N. (1996). Cálculo com Funções de Várias Variáveis. McGraw-Hill.
Goldstein, L. J., Lay, D. C., Schneider, D. I. (2000). Matemática Aplicada: Economia, Administração e Contabilidade. (8ª edição). Bookman.
Harshbarger, R. J., Reynolds, J. J. (2006). Matemática Aplicada: Administração, Economia e Ciências Sociais e Biológicas. (7ª Edição).
McGraw-Hill.
Pires, C. (2011). Cálculo para Economia e Gestão. Escolar Editora.
Silva, J. C. (1994). Princípios de Análise Matemática Aplicada. Editora McGraw-Hill de Portugal.
Simon, C. P., Lawrence, B. (2004). Matemática para Economistas. Bookman.
Stewart, J. (2015). Calculus: Metric Version. Cengage Learning Brooks Cole.
Sydsæter, K., Hammond, P., Strøm, A. (2012). Essential Mathematics for Economic Analysis. (4th ed.). Pearson Education Limited.
Tan, S. T. (2001). Matemática Aplicada à Administração e Economia. Pioneira Thomson Learning.