General information 
Course unit name: Advanced Methodology in Mathematics
Course unit code: 568174
Academic year: 20182019
Coordinator: Carlos Antonio D'Andrea
Department: Department of Mathematics and Computer Science
Credits: 3
Single program: S
Estimated learning time 
Total number of hours 75 
Facetoface learning activities 
30 
 Lecture 
15 

 Lecture with practical component 
15 
Supervised project 
10 
Independent learning 
35 
Competences to be gained during study 














Learning objectives 
Referring to abilities, skills

Teaching blocks 
1. TeX and LaTeX
1.1. Introduction to Tex
1.2. Introduction to LaTeX: Papers, books
1.3. Beamer: Presentations, posters
1.4. Graphics: TikZ, PGF, XYpic, jPicEdt
1.5. Interaction with other programs: Mathematica, MATLAB
1.6. Writing mathematics on the web: MathJax
2. Reference sources in mathematics
2.1. Interactive mathematics websites: MathOverflow, nLab, StackExchangeNetwork.
2.2. Mathematical reviews on the web: Mathscinet and Zentralblatt.
2.3. Mathematic Subject Classification and keywords
2.4. Resources online: arxiv, Project Euclid, etc.
3. Oral presentations
3.1. Sharing Maths background and interests with the rest of the class
3.2. Designing a class for undergraduate or graduate students
3.3. Presentating current research/professional work to a specialized audience
3.4. Actively participating as part of the audience with questions and comments
4. Mathematical activities
4.1. Attending conferences, seminars and/or colloquiums in the field
4.2. Introduction to research in mathematics and its specialized applications
4.3. Reporting progress in final projects to the rest of the class
Teaching methods and general organization 
This course will have a part devoted to some sessions on TeX and LaTeX. In this section, students will be introduced to and evaluated in the use of LaTeX as a tool for writing texts and presentations in mathematics. 
Official assessment of learning outcomes 
Active participation in class will be worth 40% of the final grade for continuous evaluation. Students are expected to give short talks in basic mathematics, and also presentations on academic resources. They should also engage in group discussions about how to present their research/innovation results and the possible applications of them.
Examinationbased assessment The single evaluation option will consist of exercisesolving problems in TeX/LaTeX and delivering 3 oral presentations on topics to be determined by the instructors. In addition, the student must present a written report on their Final Master Project, and deliver a 20minute talk about it. All these activities must be completed before the semester is over. 