Elements of Infinitesimal Analysis II

Cod: 21031

Department: DCET

Department: DCET

ECTS: 6

Scientific area: Mathematics

Scientific area: Mathematics

Total working hours: 156

Total contact time: 26

Total contact time: 26

In this course unit the basic concepts and techniques of Integral Calculus, Taylor series, and Differential Analyis in R^{n} are studied

1. Integral Calculus

2. Taylor Series

3. Differential Analysis in R^n

2. Taylor Series

3. Differential Analysis in R^n

Upon completion this course unit students are expected to be able to master Mathematical Analysis concepts and techniques for:

- understanding and solving conceptual problems;
- applying them for solving simple problems of Mathematical Modelling.

1. Integral Calculus in R

2. Taylor series

3. Differential Analysis in R^{n}

2. Taylor series

3. Differential Analysis in R

[1.] J. Campos Ferreira, Introdução à Análise Matemática, Fundação Calouste Gulbenkian, Lisboa, 1987.

[2.] J. Campos Ferreira,*Introdução à Análise em R*^{n}, texto disponível na sala de aula virtual

[3.] Gabriel E. Pires;*Cálculo Diferencial e Integral em R*^{n}, Coleção Ensino da Ciência e da Tecnologia, vol. 45, IST Press, Lisboa, 2012.

[2.] J. Campos Ferreira,

[3.] Gabriel E. Pires;

E-Learning.

Continuous assessment is privileged: 2 or 3 digital written documents (e-folios) during the semester (40%) and a
presence-based final exam (p-folio) in the end of the semester (60%). In due time, students can alternatively choose to perform one
final presence-based exam (100%).

Pre-requisites: students are supposed to be conversant with the subject matter studied in Linear Algebra and Mathematical Analysis at the level of the course units 21002 and 21030.