Mathematics

• Funkcije više varijabli, prirodno područje definicije funkcije dviju varijabli, plohe drugog reda
• Parcijalne derivacije
• Schwartzov teorem
• Lokalni ekstremi funkcija više varijabli, uvjetni ekstremi 1. kolokvij
• Polarni koordinatni sustav u ravnini, računanje dvostrukih integrala zamjenom pravokutnih koordinata polarnim
• Jakobijan 2. kolokvij
• Linearne diferencijalne jednadžbe prvog reda, metoda varijacije konstante 3. kolokvij nema nastave nema nastave nema nastave nema nastave nema nastave nema nastave nema nastave

1. functions of several variables
2. continuity and limit of a function of several variables
3. ability to understand the differential calculus of multivariable functions
4. ability to understand the first and higher order partial derivatives
5. ability to understand the tangent plane
6. ability to understand the local extremes of more variables
7. ability to understand the integral calculus of multivariable functions
8. ability to understand the calculus of double integrals
9. ability to understand the polar coordinate system in a plane
10. ability to understand the calculus of double integration with substitution
11. ability to understand the implementation of integrals on calculating centre of mass, static moments and centre of gravity
12. first order linear differential equation using the variation of constants method
13. ordinary differential equations
14. ability to solve differential equations

Required reading

• S. Suljagić: Matematika 2, http://www.grad.hr/nastava/matematika/
  S. Kurepa, Matematička analiza III, Tehnička knjiga, Zagreb 1975.
  L.Krnić, Z.Šikić: Račun diferencijalni i integralni, Školska knjiga, Zagreb, 1992.
  B.P.Demidovič: Zadaci i riješeni zadaci iz više matematike s primjenom na tehničke nauke, Tehnička knjiga, 1978.