ZP27 - Differential equations

Course specification
Course title		Differential equations
Acronym		ZP27
Study programme
Module
Lecturer (for classes)		prof. dr Boban Marinković
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB		5.0	Status
Condition		Credits from courses equivalent to Mathematics I and Mathematics II	Облик условљености
The goal		The goal of this course is to teach students basic concepts and theorems from the following areas: ordinary differential equations, systems of ordinary differential equations, partial differential equations, Laplace transformations.
The outcome		This course provides knowledge that can be applied to other natural science and technical-technological courses taught in the department. The course is intended to enable students to successfully apply the acquired mathematical knowledge in solving techical and technological problems, as well as in mathematical processing of experimental data. ; ;
Contents
Contents of lectures		Ordinary differential equations – the first-order differential equations, differential equations of the second and higher orders, some applications of ordinary differential equations; ; ; Systems of ordinary sifferential equations-definition, methods of solution; some applications of systems of ordinary differential equations; ; ; Partial differential equations- the first order partial differential equations, the second order partial differential equations, numerical solution of partial differential equations, some applications of partial differential equations; ; ; Laplace transformations- definition, properties, inverse Laplace transformations, application of Laplace transformations to solving differential equations and systems of differential equations. ;
Contents of exercises		The aim of the practices is to solve examples and tasks that illustrate various concepts presented in the theoretical lessions as well as their mutual relations. Moreover, the practices give an opportunity to exercise applying acquired theoretical knowledge to problems of natural and technical-technological sciences.
Literature
V.Vujčić, S.Dajović, Matematika 3, 8. izdanje, FON, Beograd, 2008. (Original title) N. Miličić, K.Obrenović Gilmor, B.Zlatić, Zbirka zadataka iz difrencijalnih jednačina sa elementima teorije, TMF, Beograd, 2012. (Original title) Š.M. Ušćumlić, M.G. Lazić, Odabrana poglavlja matematičke analize, Univerzitetska štampa, Beograd, 1999; (Original title) M. Miličić, N. Miličić, D. Stankov, Elementi numeričke analize, teorija, algoritmi, programi, zadaci, Univerzitet u Beogradu, RGF, Beograd, 2003. (Original title)
Number of hours per week during the semester/trimester/year
Lectures	Exercises	OTC	Study and Research	Other classes
2	2	0
Methods of teaching		Lectures and practices
Knowledge score (maximum points 100)
Pre obligations		Points	Final exam	Points
Activites during lectures			Test paper	40
Practical lessons			Oral examination
Projects
Colloquia		60
Seminars