Type of studies | Title |
---|---|
Doctoral Academic Studies | Mathematics in Engineering (Year: 1, Semester: Summer) |
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 |
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1989 | English | |||
2000 | English | |||
2005 | English | |||
2006 | English | |||
2001 | English | |||
1984 | English | |||
1980 | 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 |
Full Professor
Associate Professor
Full Professor
Associate Professor
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© 2024. Faculty of Technical Sciences.