State exam course |
Code:
ÚMV/BPO/14
Name:
Bachelor thesis and its defence
|
Study programme:
Data Science and Artificial Intelligence
Mathematics
Economic and Financial Mathematics
Mathematics and Physics
Mathematics and Geography
Mathematics and Psychology
Mathematics and Chemistry
Mathematics and Informatics
Mathematics - Slovak Language and Literature
Mathematics - British and American Studies
Mathematics and Biology
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State exam course |
Code:
ÚMV/BSM/14
Name:
Mathematics
|
Study programme:
Mathematics
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Prerequisites:
ÚMV/ALG1d/10 and ÚMV/DSMc/10 and ÚMV/MAN1d/10
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Course content:
The state examination is performed in a form of a debate with the emphasis on one topic of the following courses: ÚMV/MANd/10,ÚMV/ALG1d/10, ÚMV/GEO1a/10, ÚMV/LCO/10, ÚMV/DSMc/10, ÚMV/TVY/10: 1. Differential calculus and its applications. 2. Integral calculus and its applications. 3. Measure theory and Lebesgue integral. 4. Algebra of vectors and matrices. 5. Algebraic structures and number theory. 6. Affine spaces. 7. Euclidean spaces. 8. Linear programming problems, solution methods and complexity. 9. Structural properties of planar graphs. 10. Chromatic graph theory. 11. Turing maschine and its role in mathematics. |