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2019/2020

Current Mathematical trends

Code: 100127 ECTS Credits: 6
Degree Type Year Semester
2500149 Mathematics OT 4 A

Contact

Name:
Artur Nicolau Nos
Email:
Artur.Nicolau@uab.cat

Use of Languages

Principal working language:
catalan (cat)
Some groups entirely in English:
No
Some groups entirely in Catalan:
Yes
Some groups entirely in Spanish:
No

Teachers

Rosario Delgado de la Torre
Armengol Gasull Embid
Maria Jolis Giménez
Francesc Perera Domènech
Natalia Castellana Vila
Gil Solanes Farrés

Prerequisites

It is recommendable to have completed the third year of the Bachelor degree in Mathematics

Objectives and Contextualisation

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.
 

Competences

  • Actively demonstrate high concern for quality when defending or presenting the conclusions of one’s work.
  • Assimilate the definition of new mathematical objects, relate them with other contents and deduce their properties.
  • Develop critical thinking and reasoning and know how to communicate it effectively, both in one’s own languages and in a third language.
  • Effectively use bibliographies and electronic resources to obtain information.
  • Generate innovative and competitive proposals for research and professional activities.
  • Identify the essential ideas of the demonstrations of certain basic theorems and know how to adapt them to obtain other results.
  • Respect the diversity and plurality of ideas, people and situations
  • 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.

Learning Outcomes

  1. Actively demonstrate high concern for quality when defending or presenting the conclusions of one’s work.
  2. Critically follow the arguments exposed by others.
  3. Develop critical thinking and reasoning and know how to communicate it effectively, both in one’s own languages and in a third language.
  4. Devise mathematical strategies and objectives when faced with new problems or challenges from different fields of mathematics or from science and society in general.
  5. Effectively use bibliographies and electronic resources to obtain information.
  6. Generate innovative and competitive proposals for research and professional activities.
  7. Read advanced mathematics textbooks in English.
  8. Respect the diversity and plurality of ideas, people and situations
  9. 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.
  10. Students must be capable of communicating information, ideas, problems and solutions to both specialised and non-specialised audiences.
  11. Students must develop the necessary learning skills to undertake further training with a high degree of autonomy.
  12. Understand the essence of an informative but specialised conference on mathematics.

Content

The content will vary annually depending on the teachers involved. The different areas of mathematics will be represented in a balanced way

Methodology

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.

Activities

Title Hours ECTS Learning Outcomes
Type: Directed      
Attending to the talks 60 2.4
Type: Autonomous      
Personal Work 90 3.6

Assessment

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. There will be also a short oral exam.

Assessment Activities

Title Weighting Hours ECTS Learning Outcomes
Oral Exam 0,10 0 0 3, 12, 11, 9
Short talk 0,40 0 0 3, 12, 11, 8, 2
Written work 0,50 0 0 1, 3, 4, 6, 7, 11, 10, 9, 5

Bibliography

It does not appply