Análise Matemática Aplicada II

Teaching Methodologies

In lectures, the subject is explained after briefly motivating the students to study each topic covered in the context of electromechanical
engineering. During the theoretical-practical classes, students have to carry out exercises based on the knowledge transmitted in the
theoretical classes, with the support of the teacher and also independently

Learning Results

To develop a theoretical and applied understanding of fundamental concepts of mathematics, with the study of differential and integral
calculus with several real variables. To provide mathematical tools such as vector fields and line integrals, Laplace transform, Fourier series
and Fourier transform for analysing and solving problems in electrical and mechanical engineering.

Program

1. Scalar and vector functions of several real variables.
2. Differential calculus with several real variables.
3. Multiple integrals and line integrals.
4. Laplace transforms and linear ordinary differential equations of order n.
6. Fourier series and Fourier transforms.

Internship(s)

NAO

Bibliography

Castro A. C. M., Viamonte, A. J., Sousa, A. V. (2014). Cálculo II: conceitos, exercícios e aplicações. Porto: Publindústria
James, J. F. (2011). A Student’s Guide to Fourier Transforms: With Applications in Physics and Engineering (3rd ed.). Cambridge:
Cambridge University Press.
Rodrigues, J. A. (2008). Curso de Análise Matemática – Cálculo em IRn. Princípia.
Stewart, J. (2001). Cálculo – Volume 2. São Paulo: Pioneira – Thomson Learning.
Zill, D.G. (2003). Equações diferenciais com aplicações em modelagem, São Paulo: Thomson