1. komponenta

Lecture type	Total
Lectures	45
Exercises	30

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

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.

1. I. Aganović, K. Veselić: Uvod u analitičku mehaniku
2. I. Aganović, K. Veselić: Linearne diferencijalne jednadžbe. Uvod u rubne probleme
3. V. I. Arnold: Mathematical methods of classical mechanics
4. A. P. Arya: Classical mechanics, 2nd edition
5. Z. Janković: Teorijska mehanika, 3. izdanje, skripta
6. C. Lanczos: The variational principles of mechanics, 4th edition
7. M. R. Spiegel: Fourier analysis with applications to boundary value problems, Schaum'e

Enrollment :
Passed : Ordinary differential equations

Mandatory course - Regular study - Mathematics