Advanced topics in discrete mathematics [ LINMA2472 ]

> https://icampus.uclouvain.be/claroline/course/index.php?cid=LINMA2472

A sufficient knowledge of linear algebra and graph theory is required (such as given in LFSAB1101, LFSAB1102, LINMA1691).

The course offers an introduction to an advanced and (if possible) current issue of discrete mathematics.

Learning outcomes :

• AA1 : 1,2,3
• AA3 : 1,3
• AA4 : 1
• AA5 : 1,2,3, 5,6

More specifically, at the end of the course the student will be able to :

• read a general or specialized literature on a specific cutting-edge theme of discrete mathematics, and summarize the key messages and results
• explain those messages to their peers in a clear and precise way
• solve mathematical problems in application to those results
• identify the possible caveats of those results and criticize the exposition chosen by the references
• relate the concepts encountered in the literature to concepts covered in other course, despite different notations or viewpoints

The mathematical objectives can change from year to year.

Oral exam with written preparation.

In part ex cathedra, and in part presented by the students themselves based on a book chapter of other documents.

The course contents may vary from one year to another and can tackle, for example, graphs and networks issues, discrete dynamical systems, coding, data mining, algorithmics, and questions at the interface with theoretical computer science.

Variable.