Teaching Methodologies
The lessons will be held in class. Informatics means will be used. Lecturing is divided into two components:
classes dedicated to the presentation of theoretical concepts; lessons devoted to the resolution of practical
problems, including the use of software. The classes will be interspersed in a sequence that optimizes the
acquisition of skills.
The evaluation involves the accomplishment of a final exam. The final exam evaluation can be substituted by
the accomplishment of a set of partial tests, requiring mandatory a attendance rate of at least 75% over the
whole number of lessons.
Learning Results
This discipline considers the study of real functions on a single variable, from which we consider applications to economy, accounting and management. In this scope, techniques of approaching a differentiable function through a polynomial function will also be taken into account.
The discipline also includes topics on calculus integration and differentiable equations. In both the cases, applications to economy and management will be considered.
We intend that the student can acquire analytical and calculus tools in the scope of the proposed subjects, with sight to the treatment and study of problems in the area of management and enterprise sciences
Program
1. Functions on a Single Variable
1.1. Definitions.
1.2. Inverse function.
1.3. Limits.
1.4. Continuity.
1.5. Exponential function and logarithmic function.
1.6. Inverse trigonometric functions.
1.7. Derivatives.
1.7.1. Definition and geometric analysis.
1.7.2. Derivative rules.
1.7.3. Applications of derivatives.
1.8. Differentials. Determination of approximate values.
1.9. Study of functions.
1.10. Taylor and MacLaurin
polynomials.
1.11. Practical applications to management sciences.
2. Techniques of Integration
2.1. Integrals.
2.2. Definite integral. Practical applications to management sciences.
2.3. Improper integrals.
3. First-Order Differential Equations
3.1. Definitions.
3.2. Separate variables equation.
3.3. Separable variables equations.
3.4. Firstorderlinear equations.
3.5. Practical applications to management sciences.
Internship(s)
NAO
Bibliography
Campos Ferreira, Análise Matemática, Função Gulbenkian, 6ª ed., 1995.
L.J. Goldstein, D.C. Lay e D.I. Schneider, Matemática Aplicada: Economia, Administração e Contabilidade,
Bookman, Porto Alegre, 8ª Edição, 2000.
R.J. Harshbarger e J. J. Reynolds, Matemática Aplicada: Administração, Economia e Ciências Sociais e
Biológicas, McGraw Hill Interamericana do Brasil, Ltda., 7ª Edição, 2006.
J.eite, M. Carvalho, C. Neves, A.C. Amaro e P.C. Martins, Sebenta de Matemática I, 2006.
E.W. Swokowski, Cálculo com Geometria Analítica, Volume 1, Makron Books, Ltda., São Paulo, 2ª Edição,1994.
E.W. Swokowski, Cálculo com Geometria Analítica, Volume 2, Makron Books, Ltda., São Paulo, 2ª Edição,1994.
S.T. Tan, Matemática Aplicada à Administração e Economia, Pioneira – Thomson Learning, São Paulo, 5ªEdição, 2001.