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Ordinary differential equations

Code: 36910
ECTS: 6.0
Lecturers in charge: prof. dr. sc. Eduard Marušić-Paloka - Lectures
izv. prof. dr. sc. Marko Vrdoljak - Lectures
Lecturers: Petar Kunštek - Exercises
Marko Radulović - 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 typeTotal
Lectures 30
Exercises 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: Introduction to the mathematical theory: existence and uniqueness results of initial value problems. Introduction to numerical methods. Formulation and simulation of selected 'real life' problems using existing software.

COURSE DESCRIPTION AND SYLLABUS:
[1-4] Systems of the first order ordinary differential equtions, local existence and uniqueness of solution of initial value problem (Picard's theorem and Gronwall's lemma). Introduction to numerical methods. Autonomous equations, examples.
[5-8] Systems of linear first order equtions, fundamental matrix, global existence result, examples. The Laplace transformation, n-th order equation, equations with discontinuous right hand side, examples.
[9-12] Second order linear equations, boundary value problems, Green's function, existence and uniqueness of solution. The Sturm-Liouville problem, orthogonal systems, elements of the Fourier analysis, examples.
Literature:
5. semester
Mandatory course - Mandatory studij - Mathematics
Consultations schedule: