Elements of Infinitesimal Analysis I
Cod: 21030
Department: DCET
Scientific area: Mathematics
Total working hours: 156
Total contact time: 26

This course presents the basic concepts and techniques of Mathematical Analysis.

1.Sequences and Series
2. Continuity
3. Differencial Calculus
4. Integration

Learning to apply the concepts and techniques of Mathematical Analysis in the program in formulating and solving problems of theoretical nature and in simple mathematical modeling.

1 Real Numbers
2 Sequences and Series
3 Continuous Functions
4 The Fundamental Theorems of Differential Calculus: Applications of Differential Calculus.
5 Integration

João Paulo SANTOS, Cálculo Numa Variável Real, Coleção Ensino da Ciência e Tecnologia nº 49, IST Press, 2012. 
Carlos Sarrico, Análise Matemática, Col. Trajectos Ciência nº 4, Gradiva, Lisboa, 2008.
Elon Lages Lima, Curso de Análise volume 1, Coleção Projeto Euclides, IMPA-Instituto de Matemática Pura e Aplicada.


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%).