Mathematics 2

Code: 141750
ECTS: 6.0
Lecturers in charge: izv. prof. dr. sc. Josipa Pina Milišić
izv. prof. dr. sc. Tomislav Šikić
Take exam: Studomat
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Exercises 30
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
This course gives the introduction to multivariable calculus, partial derivatives and linear approximations of surfaces. We define the directional derivatives and the gradient of a scalar field. We are dealing with unconstrained as well as the constrained optimization problems, using the method of Lagrange multipliers. We introduce the double and triple integrals with their applications. We study vector calculus, line and surface integrals and the main results (the Green, the Stokes and the divergence theorem). We study the linear differential equations of second order with constant coefficients. Finaly, we overwiev basic partial differential equations (the Laplace equation, the heat equation, the wave equation).
Learning outcomes:
Literature:
  1. , Matematička analiza 2; Petar Javor; Element d.o.o.; 2002; ISBN: 953-197-523-X, , , .
  2. , Multivariable Calculus; Brian E. Blank, Steven G. Krantz; John Wiley and Sons; 2011; ISBN: 978-0470-45359-9, , , .
  3. , Multivariable Calculus; James Stewart; Brooks/Cole; 2012; ISBN: 978-0-538-49787-9, , , .
2. semester
Mandatory course - Regular study - Energy Efficiency and Renewable Energy Sources
Consultations schedule:

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