Communicating mathematics

Practical Mathematics
2 year
Hours per week – 1. semester:
Content (Syllabus outline)

Students will learn to prepare short seminar presentations. They will gain the experience how to present it and prepare the corresponding documents. They will learn about the structure and basic components of a presentation. They will also learn and acquire the skills to use the presentation making tools.


gradivo, ki ga pripravi vodja seminarja

Krantz, S.G. A primer of mathematical writing. AMS, 1998.

Borwein, J., Rocha, E.M., Rodrigues, J.F. Communicating Mathematics in the Digital Era. CRC Press, 2008.

Mittelbach, F., Goossens, M., Braams, J., Carlisle, D. The LaTeX Companion (Tools and Techniques for Computer Typesetting). Addison-Wesley, 2. izdaja, 2004.

Kolin, P.C. Successful Writing at Work. Cengage Learning, 10. izdaja, 2012.

Steenrod, N.E., Halmos, P.R., Schiffer, M.M., Dieudonne, J.A. How to Write Mathematics. AMS, 1973.

Paradis, J.G., Zimmerman, M.L. The MIT Guide to Science and Engineering Communication. MIT, 2. izdaja, 2002.

Montgomery, S.L. The Chicago Guide to Communicating Science. University of Chicago Press, 2002.

Objectives and competences

Students acquire knowledge about the structure and basic components of presentations. They will learn how to prepare and present them and, using appropriate tools, how to produce the corresponding documents.

Intended learning outcomes

Knowledge and understanding: Students learn to prepare, present and document a short presentation on selected topic.

Application: The acquired skills will be useful during the study and later in his/her professional activities.

Reflection: Connecting the acquired skills with the professional knowledge.

Transferable skills: The acquired skills can be useful in all other courses that require from students reporting about their activities.

Learning and teaching methods

The lecturer presents general and specific methods of written and oral communication of mathematical topics.

Each students, with the help of the lecturer, chooses an appropriate mathematical topic and present it in front of the classroom. The student also prepares a short mathematical article on the chosen topic. The emphasis is on the public presentation and the quality of the produced documents.


documents (presentation slides paper, poster)
public presentation
Grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

Andrej Bauer:
AWODEY, Steve, BAUER, Andrej. Propositions as [Types]. Journal of logic and computation, ISSN 0955-792X, 2004, vol. 14, no. 4, str. 447-471. [COBISS-SI-ID 13374809]
BAUER, Andrej, SIMPSON, Alex. Two constructive embedding-extension theorems with applications to continuity principles and to Banach-Mazur computability. Mathematical logic quarterly, ISSN 0942-5616, 2004, vol. 50, no. 4/5, str. 351-369. [COBISS-SI-ID 13378649]
BAUER, Andrej. A ralationship between equilogical spaces and Type Two Effectivity. Mathematical logic quarterly, ISSN 0942-5616, 2002, vol. 48, suppl. 1, str. 1-15. [COBISS-SI-ID 12033369]

Primož Potočnik:

  • Potočnik, Primož; Wilson, Stephen E. Linking rings structures and semisymmetric graphs: combinatorial constructions. Ars Math. Contemp. 15 (2018), no. 1, 1–17.
  • Kuzman, Boštjan; Malnič, Aleksander; Potočnik, Primož Tetravalent vertex- and edge-transitive graphs over doubled cycles. J. Combin. Theory Ser. B 131 (2018), 109–137.
  • Potočnik, Primož; Šparl, Primož On the radius and the attachment number of tetravalent half-arc-transitive graphs. Discrete Math. 340 (2017), no. 12, 2967–2971.