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Asignatura

Matemáticas I

Obligatorias5 ECTS1.º semestre60 h docenciaIdioma de enseñanza: croata

Descripción de la asignatura

La descripción de la asignatura solo está disponible en croata.

  • 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

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Resultados de aprendizaje

Los resultados de aprendizaje se muestran en inglés.

  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

Bibliografía

Bibliografía obligatoria

  • 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.

Responsables de la asignatura 1

Docentes que imparten la asignatura 1

Exámenes

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en 10 días en 30 días más tarde celebradas
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