Methods of mathematical physics

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Code:	36916
ECTS:	7.0
Lecturers in charge:	izv. prof. dr. sc. Marko Erceg prof. dr. sc. Marko Vrdoljak
Lecturers:	Tomislav Perić , mag. math. - Exercises
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 type Total

Lectures 45

Exercises 30

* Load is given in academic hour (1 academic hour = 45 minutes)

Description:

COURSE AIMS AND OBJECTIVES: Introduction to mathematical modelling through analytical mechanics. Introduction to Partial Differential Equations.

COURSE DESCRIPTION AND SYLLABUS:
1. Newtons Mechanics. Newton axioms. Moments. Energy. Relative sistems of reference
2. Lagrange mechanics. Variational calculus. Lagrange equations. Hamilton equations. Smooth manifolds.
3. Solid body. Tensor of inertia. Eulers equations.
4. Partial differential equations. Sistems of equations of the first order. Dalambert formula for wave equation in one dimension. Poisson formula for the diffusion equation in one dimension. Classification of the second order equations. Separation of variables: wave equation. Fourier sequences. Sturm - Liouville problem. Laplace equation.

Literature:

Prerequisit for:

Enrollment :
Attended : Ordinary differential equations

Examination :
Passed : Ordinary differential equations

6. semester

Mandatory course - Regular study - Mathematics

Consultations schedule:

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Link to the course web page: https://web.math.pmf.unizg.hr/nastava/mmf/

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Methods of mathematical physics

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