State exam contents

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.