Load:

1. komponenta
Lecture type  Total 
Seminar 
30 
* Load is given in academic hour (1 academic hour = 45 minutes)

Description:

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

Literature:

 E. A. Abbott: Flatland; A Romance of Many Dimensions
 R. Courant, H. Robbins: What is Mathematics?
 P. Davis, R. Hirsch: The Mathematical Experience
 A. Doxioadis: Stric Petros i Goldbachova slutnja
 H. Fukagawa, D. Pedoe: Japanese Temple Geometry Problems (San Gaku)
 M. Gardner: Riddles of the Sphinx and Other Mathematical Puzzle Tales
 D. Guedj: Papagajev teorem
 D. R. Hofstadter: Gödel, Escher, Bach: An Eternal Golden Braid
 J. Keener, J. Sneyd, L. P. Kadanoff: Mathematical Physiology
 L. D. Landau, G. B. Rumer: Što je teorija relativnosti?
 L. Carrol: Alice u zemlji čudesa
 J. D. Murray: Mathematical Biology
 S. Nasar: Genijalan um
 B. Russell: Mudrost zapada
 M. Stegić: Teorija vibracija linearnih diskretnih mehaničkih sustava
 I. Supek: Filozofija znanosti i humanizam
 B. Šego: Matematika za ekonomiste
 Z. Šikić: Matematika i muzika
 Z. Šikić: Knjiga o kalendarima
 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
