The goal of this course is to provide students with the concepts, fundamental results and techniques of Differential and Integral Calculus which are necessary for the development of base competences for their area, namely with the founded use of concepts and techniques which were learned, to solve real problems in the area do Economy and Management. It also aims to contribute to their reasoning capacity and critical spirit.

1. Logarithmic and exponential function: growth and degrowth models; Capitalisation regimes, simple and compound
2. Differentiability: Revisions; Derivation rules of the exponential and logarithmic functions
3. Optimisation with one variable: Relative and absolute extrema; Optimisation problems in IR
4. Optimisation with more than one variable: Relative and absolute extrema; Optimisation problems in IRn
5. Conditioned Optimisation: Lagrange Multipliers
6. Integral Calculus in IR: Marginal functions in Economy and Management; Indefinite integrals; Techniques of Integration; Riemann Integral; Average value of a function; Calculation of flat areas; Applications to management

1. Larson, R; Edwards, B.; Cálculo com Aplicações. Livros Técnicos e Científicos, 6ª Ed.,2005;
2. Anton, H.; Cálculo, um novo horizonte. Bookman, 6ª ed., 2000 (Vol. I e Vol. II);
3. Harshbarger, R.; Reynolds, J.; Matemática Aplicada, Administração, Economia e Ciências Sociais e Biológicas, McGraw Hill, 7ª Ed., 2006;
4. Strang, G.; Calculus. Wellesley-Cambridge Press, 1992 5. Swokowski, E. W.: Cálculo com Geometria Analítica. São Paulo: Makron Books, 1994 (Vol.I e Vol. II).