Base Knowledge
Differential calculus in IR
Teaching Methodologies
The following teaching methodologies are used in this curricular unit
1) Verbal methods (say), making use of the following educational resources: Exposition, Explanation, Dialogue and questioning;
2) Intuitive Methodologies (show), making use of the following educational resources: Demo, Audiovisual, written texts;
3) Active Methodologies (doing), using pedagogical resources: problem solving; technology.
Learning Results
It is intended that students:
1. Analyse and apply the rules and methods of primitivation in IR appropriately
2. Calculate indefinite integrals, definite integrals and improper integrals in IR.
3. Identify the different types of first-order ordinary differential equations, assess the appropriate method for solving each one and apply it correctly. Solve second-order linear differential equations with constant coefficients.
4. Calculate partial derivatives of a real function of vector variable and evaluate the extrema of such function.
5. Apply the principal numerical methods to approximate functions. Estimate the value of a derivative and an integral using numerical methods of derivation and integration .
Program
1. Integration and applications
2. Differential equations
3. Functions of several variables and optimization
4. Introduction to Numerical Methods
Curricular Unit Teachers
Carla David ReisGrading Methods
- - Mini Tests - 10.0%
- - Frequency - 90.0%
- - Exam - 100.0%
Internship(s)
NAO
Bibliography
Campos Ferreira, J. (2014). Introdução à Análise Matemática (11ªEd). Fundação Calouste Gulbenkian.
Figueiredo, D. G., Neves, A.F. (2018). Equações Diferenciais Aplicadas (3ªEd). Instituto Nacional de Matemática Pura e Aplicada.
James, G. (2020). Modern Engineering Mathematics (6th Ed). Pearson.
Lima, E. L.(2016). Análise no Espaço lRn (2.ª ed.). Instituto Nacional de Matemática Pura e Aplicada.
Lima, E.L. (2016). Análise Real – Vol. 2 (6.ª ed.). Instituto Nacional de Matemática Pura e Aplicada.
Kreyszig, E. (2011). Advanced Engineering Mathematics (10th Ed). John Wiley & Sons.
Stewart, J. (2017). Cálculo, Vol. 2 (8ª Ed.). São Paulo: Cengage Learning.