Base Knowledge
Knowledge of differential and integral calculus of real-valued functions of a real variable.
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 to analyze and solve 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.
5. Fourier series and Fourier transforms.
Curricular Unit Teachers
Patricia Sofia Simões SantosInternship(s)
NAO
Bibliography
Castro A. C. M., Viamonte, A. J., & Sousa, A. V. (2014). Cálculo II: conceitos, exercícios e aplicações. Publindústria. (Disponível na Biblioteca do ISEC: 3-2-389)
James, J. F. (2011). A Student’s Guide to Fourier Transforms: With Applications in Physics and Engineering (2nd ed.). Cambridge University Press. (Disponível na Biblioteca do ISEC: 3-11-67)
Rodrigues, J. A. (2008). Curso de Análise Matemática: Cálculo em IR^n. Princípia. (Disponível na Biblioteca do ISEC: 3-2-347)
Stewart, J. (2001). Cálculo – Volume 2 (4.ª ed. ). Pioneira – Thomson Learning. (Disponível na Biblioteca do ISEC: 3-2-119/153/160/278/313)
Zill, D.G. (2003). Equações diferenciais com aplicações em modelagem. Thomson. (Disponível na Biblioteca do ISEC: 3-11-63)