Faculty of Technical Sciences

Subject: Partial differential equations (17.D0M02L)

Native organizations units: Department of Fundamentals Sciences
General information:
 
Category Scientific-professional
Scientific or art field Teorijska i primenjena matematika
ECTS 10

To enable students to think abstractly and acquire knowledge in partial differential equations.

Acquired knowledge utilized in professional subjects and practical work and designing and solving mathematical models in professional subjects using acquired knowledge in partial differential equations.

Theoretical classes (lectures): Introduction. First and second order PDE. Mathematical physics equations (Schrodinger equation. Euler equation and Navier-Stokes equation.). Numerical solution of PDE (Finite differences. Finite element method). Sobolev spaces (The notion of weak derivative. Weak solution for more dimensional wave equation.). Nonlinear PDE (Steady-state problems. Evolution problems). Research and study work includes active following of primary scientific sources, organization and conducting experiments and statistical data processing, numeric simulation, possible writing of scientific paper in the field of mathematics.

Lectures. Consultations. Lectures are realized by combining theory and practice. Theoretical part is followed by appropriate examples which lead to clarification of the theoretical part. Apart from lectures and practical classes, consultations are held regularly. Part of subject content, which represents a logical unity, can be taken as a part of the exam during the teaching process. During lectures (through project work) it is necessary to prove elementary knowledge of at least one program packages (Maple, Matlab. Mathematica) needed for sloving PDE. Part of subject content as agreed upon and which makes unity is can be taken orally as a presentation and submitted in written form as a seminar paper. Oral part of the final exam is eliminatory. Through research and study work, student studies scientific journals and other relevant literature and individually expands subject content covered in classes. In cooperation with professor, student is enabled for independent writing of scientific paper.

Authors Title Year Publisher Language
Sobolev, S.L. Partial Differential Equations of Mathematical Physics 1989 Dover Publications, Inc. New York English
G. Evans, J. Blackledge, P. Yardley, Numerical Methods for Partial Differential Equations 2000 Springer, Berlin, Heidelberg, New York, English
Roubiček, T. Nonlinear Partial Differential Equations with Applications 2005 Birkhauser Verlag, Basel English
T. Dauxois, M. Peyrard, Physics of Solitons 2006 Cambridge University Press,Cambridge, New York, English
E. Sapiro Geometric Partial Differential Equations and Image Analysis 2001 Cambridge University Press, Cambridge, New York English
Dodd, R.K. et al. Solitons and Nonlinear Wave Equations 1984 Academic Press, London English
V.S. Vladimirov Equations of Mathematical Physics 1980 Nauka English
Course activity Pre-examination Obligations Number of points
Theoretical part of the exam No Yes 40.00
Practical part of the exam - tasks No Yes 30.00
Term paper Yes Yes 30.00

Prof. Kostić Marko

Full Professor

Lectures
API Image

Assoc. Prof. Tomić Filip

Associate Professor

Lectures

Prof. Kostić Marko

Full Professor

Study research work
API Image

Assoc. Prof. Tomić Filip

Associate Professor

Study research work

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

Address: Trg Dositeja Obradovića 6, 21102 Novi Sad

Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
Emejl: ftndean@uns.ac.rs

© 2024. Faculty of Technical Sciences.