Current Trends in Mathematics
Code: 100127Credits: 6
2026/2027
| Degree programme | Type | Course |
|---|---|---|
| Mathematics | OP | 4 |
Contact lecturer
- Name :
- Francesc Perera Domenech
- Email :
- francesc.perera@uab.cat
Teaching staff
- Rosario Delgado De la Torre
- Joaquim Roé Vellvé
- Wolfgang Pitsch
- Florent Balacheff
- Laura Prat Baiget
- Dolors Herbera Espinal
- David Rojas Perez
Group languages
You can consult this information at the end of the document.
Prerequisites
It is recommendable to have completed the third year of the Bachelor degree in Mathematics
Objectives
The objectives of this subject are:
- To introduce the future graduates with important results of Mathematics that are not covered in other courses of the Degree.
- As a complement to the standard teaching, the students will get used to scientific talks.
- To give an updated view of mathematics.
-To learn to write mathematical works, both for its content and presentation. Learn to make good scientific exhibitions.
Learning outcomes
- Effectively use bibliographies and electronic resources to obtain information.
- Students must be capable of applying their knowledge to their work or vocation in a professional way and they should have building arguments and problem resolution skills within their area of study.
- Students must be capable of communicating information, ideas, problems and solutions to both specialised and non-specialised audiences.
- Students must develop the necessary learning skills to undertake further training with a high degree of autonomy.
- Actively demonstrate high concern for quality when defending or presenting the conclusions of one's work.
- Understand the essence of an informative but specialised conference on mathematics.
- Read advanced mathematics textbooks in English.
- Differentiate the different stages of formation of the main areas of mathematics (algebra, arithmetic, analysis, geometry, etc.) and know how to discuss the relevance of this grouping.
- Explain and analyze the deontological code of the profession.
- Devise mathematical strategies and objectives when faced with new problems or challenges from different fields of mathematics or from science and society in general.
- Critically follow the arguments exposed by others.
- Visibility of the contributions of women in mathematics through the study of historical or current cases.
- Recognize the relationships between mathematics, philosophy and culture throughout history.
- To place chronologically and thematically the main concepts and practices that led to the crisis of the foundations at the beginning of the 20th century.
Contents
The content will vary annually depending on the teachers involved. The different areas of mathematics will be represented in a balanced way
Learning activities and methodology
| Title | Hours | ECTS | Learning outcomes |
|---|---|---|---|
| Attending to the talks | 60 | 2.4 | |
| Personal Work | 90 | 3.6 |
The two hours per week will be devoted to mini-courses taught by the teaching team of the subject.Each student will present an essay on one of the mini courses that will be supervised and delivered to the corresponding teacher. The students will also deliver a set of exercises and will have an oral exam with the coordinator of the subject.Annotation: within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Assessment
Continuous assessment activities
| Title | Weight | Hours | ECTS | Learning outcomes |
|---|---|---|---|---|
| Short talk | 0,40 | 0 | 0 | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 |
| Written work | 0,50 | 0 | 0 | 1, 2, 3, 4, 5, 7, 8, 10 |
| Oral Exam | 0,10 | 0 | 0 | 1, 2, 3, 4, 5, 6 |
The evaluation of the subject is structured in the following way:Class attendance is mandatory and in any case must be greater than 80%Each lecturer will evaluate the work of the students that he/she has supervised taking into account: a) comprehension of the content, b) proof of some results and possible extension of the topic,
c) Quality of the writing and d) presentation of the work.At the end of the course, the coordinator of the subject will assign a topic to each student who will make a short presentation and answer questions.
In this course, the use of Artificial Intelligence (AI) technologies is not permitted in any of its phases. Any assignment that includes AI-generated fragments will be considered a breach of academic honesty and may result in a partial or total penalty on the assignment's grade, or more severe sanctions in serious cases.
Single assessment: If anyone wishes to opt for the single assessment, they must inform the course coordinator on the first day of class.
Bibliography
It does not appply
Software
None
Course groups and languages
The information provided is provisional until November 30. After this date, you will be able to consult the language of each group through this link. To access the information, you will need to enter the course CODE
| Type of teaching | Group | Language | Semester | Shift |
|---|---|---|---|---|
| (TE) Theory | 1 | Catalan | annual | morning-mixed |