Več - Fakulteta za arhitekturo - Univerza v Ljubljani

1.2 MATEMATIKA MATHEMATICS
I. letnik 90 ur
obvezni predmeti compulsory subjects
doc. dr. Aleš Založnik, univ. dipl. inž. mat.
- Grasselli: Linearna algebra, DMFA Slovenije, Ljubljana 1986
- Jamnik: Matematika, DMFA Slovenije, Ljubljana 1990
- Smullyan: Poznate naslov te knjige?, DZS, Ljubljana 1987
- Vidav: Višja matematika, DMFA Slovenije, Ljubljana 1990
Cilji: Spoznati nova in utrditi že znana matematièna orodja in njihovo uporabo; razvijati sposobnost matematiènega
naèina razmišljanja (abstrakcija, logika); krepiti smisel za sistematiènost, jasnost in preciznost pri reševanju problemov
in pri interpretaciji ter pisni in ustni predstavitvi njihovih rešitev; olajšati razumevanje strokovne literature in komunikacije
z inženirji.
Vsebina: Osnove matematiène logike; vektorji z uporabo v analitièni geometriji; sistemi linearnih enaèb z metodami
reševanja; realna števila – osnova analize, neskonènost, številka zaporedja in vrste; funkcije ene realne spremenljivke,
elementarne funkcije, limita in zveznost; odvod z uporabo pri ekstremalnih problemih; integral, zveza z odvodom;
krivulje in ploskve v prostoru.
Goals: To discover new and rediscover known mathematical tools and their uses; develop the ability to think mathematically
(abstraction, logic); strengthen the sense for systematic approach, clarity and precision, both in the
process of solving problems, as well as in (written or oral) presentation of solutions; simplify understanding of literature
and communication with engineers.
Contents: Basics of mathematical logic; vectors and their use in analytical geometry; systems of linear equations with
solution methods; real numbers – introduction to analysis, infinity, sequences and series; functions of one real variable,
elementary functions, limits and continuity; differentiation with applications to extreme problems; integration
and it’s connection with differentiation; curves and surfaces in space.
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44 dodiplomski studij graduate course