Credit hours
In-class work per week |
Practice per week |
Credits |
Duration |
Total |
6 |
2 |
8 |
10 weeks |
120 hours |
Instructor
Karine Teixeira Borri
Mirian Rumenos Piedade Bacchi
Objective
The objective is to introduce mathematical knowledge within the context of quantitative and computational methods, focusing on their applications in theories and methodologies used in studies in economics. Specifically, the course include training the student in understanding, modeling and solving problems involving mathematics and mathematical models in order to improve their ability to analyze, model and solve problems within the field of economics.
Content
1. Mathematical models: fundamental ideas and applications. 2. Review of fundamentals and applications: set theory, functions, polynomials, equations, series, limits, derivatives and integrals. 3. Equations and systems of linear and non-linear equations: theory, solution methods, computational implementation and applications. 4. Linear and matrix algebra: fundamentals, computational implementation and applications. 5. Differential and integral calculus in the multivariate context: fundamentals and applications. 6. Linear and non-linear optimization: introduction to theory, algebraic and computational solutions, and applications. 7. Differential equations and difference equations: introduction and applications. 8. Optimal control theory and dynamic programming: introduction and applications.
Bibliography
Simon, C. P., & Blume, L. (2010). Mathematics for Economists. W. W. Norton & Company.
Chiang, A. C., & Wainwright, K. (2005). Fundamental Methods of Mathematical Economics.
Amemiya, T. (1994). Introduction to Statistics and Econometrics. Harvard University Press, Cambridge.
Novaes, A. G. N. Métodos de Otimização. Edgar Blücher, São Paulo, 1978.
Hoffmann, R. (2006). Estatística para Economistas. 4ª. Edição, Editora Thomson Learning, São Paulo
DeGroot, M. (1986). Probability and Statistics. Addison-Wesley
Azevedo-Filho, A. (2011). Introdução à Estatística Matemática Aplicada - Vol I: Fundamentos. CreateSpace (EUA).
Azevedo-Filho, A. (2011). Introdução à Estatistica Matemática Aplicada - Vol II: Distribuições Paramétricas e Simulação. CreateSpace (EUA).