Study program:
Environmental Engineering (V semester -BsC)
Mining Engineering (V semester -BsC) |
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Name of subject: Numerical Analysis |
Instructors:
Prof. Dejan Ćebić |
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Status: Optional |
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ECTS: 5 |
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Prerequisites: Passed exams in Mathematics 1 and Mathematics 2 |
Course Objectives:
Getting acquainted with the theory and practice of basic methods in Numerical Analysis necessary for engineers |
Learning Outcomes:
Training students to use the Numerical Analysis method in engineering practice. |
Content:
Theory teaching
Basic numerical methods, rounding up numbers and estimating errors. Interpolation, numerical integration (Simpson method, trapezoidal and tangent method) and numerical differentiation. Approximation of ordinary equations: iterative methods, methods of cuttings and tangents. Solving ordinary differential and partial differential equations by various numerical methods. Practical teaching
Any subject of the theoretical part of the course will be followed by solving of the selected problems. |
Suggested Reading List:
- Miloš Miličić, Nada Miličić, Dragan Stankov, Elementi Numeričke analize, Rudarsko-geološki fakultet u Beogradu, 2003.
- D. Kuzmanović, A. Sedmak, I. Obradović, D. Nikolić, Matematička Fizika, RGF, Univerzitet u Beogradu, 2003.
- I.S. Sokolnikoff and R.M. Redheffer, Mathematics of physics and modern engineering, McGraw Hill, New York etc, 2nd. Ed., 1966.
- Slobodan Vujić i Aleksandar Ivić, Matematičke metode u rudarstvu i geologiji, RGF, Univerzitet u Beogradu, 1991.
- G.V. Milovanović, Numerička Analiza 1-3, Naučna knjiga, Beograd, 1985-1993.
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Conduct of the Course:
The classic method using the blackboard, there is a book written by A. Ivić, which can be obtained free of charge. |
Fund hours:
| Lectures |
Exercises |
Other forms of teaching |
Study research |
| 2 |
2 |
0 |
0 |
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Assessment:
| Final Exam |
ECTS |
| Oral Exam | 25 | | Written exam | 25 |
| Classwork Assessment |
ECTS |
| Class Participationа | 30 | | Seminars | 20 |
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Additional Assessment Criteria: - |
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