Algebraic Topology

Code:

M4134

Acronym:

M4134

Level:

400

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2023/2024 - 2S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Master in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
M:M	13	Plano Oficial do ano letivo 2021	1	-	6	48	162

Teaching language

Suitable for English-speaking students
Obs.: Classes may be taught in Portuguese or English

Objectives

Introduce basic concepts, methods and results of algebraic topology.

Learning outcomes and competences

On completion of the course, the student should

- know basic concepts, methods and results from algebraic topology;
 
- be able to analyse and solve problems in algebraic topology, using the methods and results best adapted to the problem under consideration;

- be adequately prepared to pursue studies and research in areas of mathematics which involve or utilize the theory of algebraic topology;

- be able to communicate efficiently their solutions to problems and understanding of the subject matter.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Topology (M4130).

Differentiable Manifolds (M4135) - may be taken in parallel.

Program

Mandatory literature

Allen Hatcher; Algebraic topology. ISBN: 0-521-79560-X (https://pi.math.cornell.edu/~hatcher/AT/ATpage.html)
William Fulton; Algebraic topology. ISBN: 0-387-94326-9

Complementary Bibliography

Raoult Bott; Differential forms in algebraic topology. ISBN: 0-387-90613-4
Bredon, Glen; Topology and Geometry, Springer Verlag, 1993. ISBN: 0-387-97926-3

Teaching methods and learning activities

The contact hours consist of theoretical and practical lessons allowing the instructor torganize and manage the time avaible for presenting the subject matter, solving exercises and student presentations.

keywords

Physical sciences > Mathematics > Geometry > Algebraic topology

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	100,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	114,00
Frequência das aulas	48,00
Total:	162,00

Eligibility for exams

The attendence of classes is not mandatory.

Calculation formula of final grade

The final mark is the mark obtained in the final exam.

Special assessment (TE, DA, ...)

By one single oral or written exam.