2026
Complements of Algebra
Name: Complements of Algebra
Code: MAT11686D
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese
Sustainable Development Goals
Learning Goals
To present some topics of algebra in depth in order to prepare students to deal with algebra in other parts
of mathematics.
of mathematics.
Contents
Fields and fields extensions. Simple extensions and the degree of an extension. Normability and
separability. Galois theory. Applications to ruler and compass constructions. Impossibility of classical
problems.
separability. Galois theory. Applications to ruler and compass constructions. Impossibility of classical
problems.
Teaching Methods
Expository class. Worked out problems and final examination.
Accreditations and Certifications
