Infinitesimal Analysis

Cod: 21175

Department: DCET

Department: DCET

ECTS: 6

Scientific area: Mathematics

Scientific area: Mathematics

Total working hours: 156

Total contact time: 26

Total contact time: 26

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

Logic and real numbers

Continuity

Differencial Calculus

Integral Calculus

Continuity

Differencial Calculus

Integral Calculus

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 Notions of logic and real numbers

2 Real functions

3 Limits and continuity

4 Composition of functions; Induction and recursivity

5 Differential calculus and applications

6 Integral calculus and applications

2 Real functions

3 Limits and continuity

4 Composition of functions; Induction and recursivity

5 Differential calculus and applications

6 Integral calculus and applications

Pedro M. Duarte: Notas de Cálculo para Informática, Faculdade de Ciências, Universidade de Lisboa http://webpages.fc.ul.pt/~pmduarte/Calculo/Informatica/Notas/Notas.pdf

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%).