Položi Matematiku 2 na idućem roku! Lakše je nego što misliš

Još samo drugi dio pa smo gotovi s MAT 2! S jednakom kvalitetom objašnjavam zadatke za 2. kolokvij da iz prve položite.
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  • Lectures 45
  • Length 6 hours
  • Skill Level All Levels
  • Languages Croatian
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 6/2014 Croatian

Course Description

  • U tečaju trenutno sudjeluje 59 studenata iz raznih gradova

Potpuni postupak rješavanja zadatka za 2. kolokvij MATEMATIKE 2.

Ovo su zadaci za vježbu sa RGN-a, ali se takvi zadaci pojavljuju na svih tehničkim fakultetima.

U ovim online instrukcijama se nalaze detaljni postupci 45 rješena zadataka:

  • 30 zadataka iz diferencijalnih jednadzbi
  • 5 zadataka iz dvostrukih integrala
  • 5 zadataka iz parcijalnih derivacija
  • 4 zadatka iz ekstrema funkcija dviju varijabli f(x,y)

Redovito stavljam nove zadatke u tečaj. Ako imate neki zadatak koji fali, slobodno mi pošaljite poruku preko poruke na Udemyju ili na Facebook profil Ivan Livić Instrukcije

Kupite sada online tečaj i rasturite kolokvij ili ispit!

P.S.

  • Unutar tečaja se nalaze tablice integrala i derivacija te formule koje studenti RGN-a smiju imati na ispitu
  • Objašnjavam kako koristiti stranicu WolframAlpha za crtanje grafova i rješavanje zadataka
  • Objašnjavam kako koristiti digitron CASIO 991ES za brže rješavanje zadataka
  • Ako želite dogovoriti privatne skype instrukcije, javite se porukom preko Udemyja

Uključi se u tečaj, postavljaj pitanja, šalji zadatke i uspješno položi kolokvij ili ispit!

What are the requirements?

  • Znanje Matematike 1
  • Osnove derivacija
  • Osnove integrala

What am I going to get from this course?

  • Do kraja ovih detaljnih online instrukcija, biti ćete spremni za 2. kolokvij ili ispit iz tog dijela gradiva

What is the target audience?

  • Studenti svih tehničkih fakulteta
  • Studenti RGN-a u Zagrebu

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Diferencijalne jednadžbe
Kratki uvod u diferencijalne jednadžbe + tutorial + formule
Preview
02:38
Zadatak 1: Separirane varijable 2x^2yy'+y^2=2
08:50
Zadatak 2: Linearna dif. jd prvog reda x^2dy-(2xy+3)dx=0
16:40
Zadatak 3: Egzaktna e^ydx+(xe^y-2y)dy=0
05:29
Zadatak 4: Homogena 2xyy'+x^2-y^2=0
11:42
Zadatak 5: Homogena (x-ycos(y/x))dx+xcos(y/x)dy=0
06:51
Zadatak 6: Linearna dif. jd. prvog reda y'-3x^2y=(xlnx+1)*e^(x^3)
14:50
Zadatak 7: Egzaktna dif. jd. 3x^2(1+lny)dx+(x^3/y-2y)dy=0
Preview
06:09
Zadatak 8: Bernoullijeva dif. jd. y'+y/x=-xy^2
11:23
Zadatak 9: Homogena dif. jd. y'=y/x*(1+lny-lnx)
05:56
Zadatak 10: Linearna dif. jd. prvog reda xy'+(x+1)y=x^2e^(-x)
15:42
Zadatak 11: Homogena dif. jd. xy'-y=x*tg(y/x)
04:34
Zadatak 12: Separirane varijable y'-xy^2=2xy
08:58
Zadatak 13: Homogena [y-xy']/[x+yy']=2
08:17
Zadatak 14: Linearna dif.jd. prvog reda y'ctgx+y=2, y(0)=2
10:06
Zadatak 15: Egzaktna (x^3-3xy^2+2)dx-(3x^2y-y^2)dy=0
06:31
Zadatak 16: Linearna dif. jd prvog reda 2x(x^2+y)dx=dy
08:36
Zadatak 17: Linearna dif. jd. prvog reda y'+y/(x+5)=sinx, y(0)=1
13:00
Zadatak 18: Ezgaktna [y/(x^2+y^2)-1]dx-[x/(x^2+y^2)]dy=0
06:39
Zadatak 19: Svođenje na Homogenu 2xyy'-y^2+x=0
04:41
Zadatak 20: Homogena y'=(x^2+xy+y^2)/x^2
04:48
Zadatak 21: Linearna dif. jd. prvog reda y'-2xy=(x+1)e^(x^2)
Preview
04:39
Zadatak 22: Egzaktna ydx/x+(y^3+lnx)dy=0
03:21
Zadatak 23: Egzaktna (ye^x-2x)dx+(e^x+y)dy=0, y(0)=2
04:41
Zadatak 24: Linearna dif. jd. prvog reda y=x(y'-xcosx), y( π/2)= π
05:54
Zadatak 25: Homogena x^2dy=(2xy-y^2)dx
08:46
Zadatak 26: Dif.jd. 2. reda - spuštanje na Linearnu dif. jd 1. reda x^2y''+xy'=1
Preview
10:04
Zadatak 27: Dif. jd. 2. reda yy''+(y')^2=0
04:48
Zadatak 28: Dif. jd. 2. reda y'(1+y'^2)=y''
06:09
Zadatak 29: Dif. jd. 2. reda yy''-y'(1+y')=0
07:29
Zadatak 30: Dif. jd. 2. reda (1+x^2)y''-2xy'=0, y(0)=0, y'(0)=3
08:47
Section 2: Dvostruki integrali
Zadatak 1:Odredite granice u integralu opisan funkcijama y^2=8x, y=2x, y+4x-24=0
Preview
05:45
Zadatak 4: int int dx*dy/(2x+y), x=1..e, y=1-2x..x
07:43
Zadatak 6: int int dxdy/(x+y)^2, S je pravokutnik A(3,1) B(4,1) C(4,2) D(3,2)
Preview
06:56
Zadatak 9: Izračunajte int int cosx*dxdy, y=x^2, y=-x+2 i os-x
10:00
Zad 20:Promijenite poredak integracije int dy f(x,y)dx, y=0..1, x=sqrt(y)..-2y+3
Preview
09:01
Section 3: Parcijalne derivacije - 9. zadaci za vježbu
06:03

08:56

07:14

Jednadzba tangencijalne ravnine

Zad16: Nađite jedn. tangencijalne ravnine i normale na plohu z=arctan[3x/(x+y)]
Preview
06:06
04:35

Ovako izgleda tangencijalna ravnina na plohu

Jednadzba tangencijalne ravnine:

Section 4: Ekstremi funkcija dviju varijabli - 6. zadaci za vježbu
07:32

f) zad: f(x,y)=x^3+y^3-3(x+y)+1
Preview
07:36
p) zad: f(x,y)=e^(-x^2-y^2)
06:49
07:57

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Instructor Biography

Product Manager in Singapore Ivan Livic, Croatian in Singapore | Tech entrepreneur | Product Manager

I am a 29 year old electrical and IT engineer and tech entrepreneur, coming from Zagreb, Croatia. I finished my Bachelor and Masters degree on Faculty of Electrical Engineering and Computing (FER), University of Zagreb.

I was a private tutoring to more than 800 students from technical colleges and high schools in mathematics, physics, electrical circuits, probability and statistics etc.

I helped many students to pass exams with which they have been struggling for years.

As my day job I have been working in several engineering companies in Croatia, Malaysia and was running my project in Indonesia. I am passionate about mentoring, transferring knowledge to others, traveling, triathlons, working on interesting projects and startups.

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