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Seminar - Mathematics outside mathematics

Code: 33224
ECTS: 3.0
Lecturers in charge:
English level:


All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

1. komponenta

Lecture typeTotal
Seminar 30
* Load is given in academic hour (1 academic hour = 45 minutes)
COURSE AIMS AND OBJECTIVES: The aim of the Seminar is to qualify students for independent and project (collaborator - group) work: investigation, discovering and search of literature (using all available mediums - printed and electronic, especially on the Internet), for preparing seminar lectures in the written form (using computers) and for oral lecturing (presentation) on the given subject. Particularly, students will get introduced to connections with others sciences and how mathematics interferes with arts. The topics of student projects will be chosen in a way to enable students, future mathematics teachers, to recognize individuality and to open students to questions, as fundamental principles in mathematics teaching on all educational levels.

COURSE DESCRIPTION AND SYLLABUS: Seminar - Mathematics beyond Mathematics will be realized as a project education, estimating all its levels and lawfulness. Each project team will be composed of 3 students, and the project problem will be elaborated and presented in written and oral form to other visitors of the Seminar. The subjects are as follows:
1. Connections with one of other sciences (Biology, Chemistry, Physics, etc.)
2. Interference between Mathematics and arts
  1. E. A. Abbott: Flatland; A Romance of Many Dimensions
  2. R. Courant, H. Robbins: What is Mathematics?
  3. P. Davis, R. Hirsch: The Mathematical Experience
  4. A. Doxioadis: Stric Petros i Goldbachova slutnja
  5. H. Fukagawa, D. Pedoe: Japanese Temple Geometry Problems (San Gaku)
  6. M. Gardner: Riddles of the Sphinx and Other Mathematical Puzzle Tales
  7. D. Guedj: Papagajev teorem
  8. D. R. Hofstadter: Gödel, Escher, Bach: An Eternal Golden Braid
  9. J. Keener, J. Sneyd, L. P. Kadanoff: Mathematical Physiology
  10. L. D. Landau, G. B. Rumer: Što je teorija relativnosti?
  11. L. Carrol: Alice u zemlji čudesa
  12. J. D. Murray: Mathematical Biology
  13. S. Nasar: Genijalan um
  14. B. Russell: Mudrost zapada
  15. M. Stegić: Teorija vibracija linearnih diskretnih mehaničkih sustava
  16. I. Supek: Filozofija znanosti i humanizam
  17. B. Šego: Matematika za ekonomiste
  18. Z. Šikić: Matematika i muzika
  19. Z. Šikić: Knjiga o kalendarima
  20. E. Wigner: The unreasonable effectiveness of mathematics in the natural sciences, Comm. Pure and Appl. Math. Vol. 13, No. 1
Prerequisit for:
Enrollment :
Passed : Differential and integral calculus 2
6. semester
Izborni seminar 4 - Regular study - Mathematics Education
Consultations schedule: