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Terms for 2017

September, 5

Admission Interviews

September, 7

Open Day

September, 12

Admission Interviews

September, 14

Open Day

Full list of terms

Mathematical Methods 2

The aim of this subject is to teach students to use mathematical tools for their further study.  This subject is focussed on the various ways of working with ordered n-tuples.  

What are you going to learn

  1. Mathematical logic - Tautology, derivation rules (modus ponens, generalization rule), a mathematical proof.
  2. Theory of relations - Binary relation, (partial) order, equivalence, equivalence classes.
  3. Graph and its representation - Basic concepts (node, edge, subgraph, sequence, circle, path, …), (un)directed graph, graph isomorphism.
  4. Eulerian graph and trees - Eulerian graph, eulerian cycle, threes.
  5. Vector space - Vector, operations with vectors, linear independence, basis, rank space.
  6. Matrices - Matrix (introduced as a rectangular table of cells), rank of a matrix, transpose matrix, operations with matrices.
  7. System of linear equatios - General theorems on solvability, using matrices to solve systems of linear equations.
  8. Determinant of a matrix - Square matrix, inverse matrix, determinant of a matrix.
  9. Linear programming - Types of problems, formulation of a mathematical model, basic concepts, graphical solution, the possibility of termination, interpretation.
  10. Simplex method - Single-phase and two-phase simplex method, the interpretation of single-phase methods (using simplex table), test optimization; relationship between simplex method and matrix numbers.
  11. Analytic geometry - Geometric interpretation of algebraic concepts and their use in practice.
  12. Applications - Examples of the use in practice.

How the course is organized

Full time study  

The course consists of 12 lectures and 12 workshops, each lasting 1,5 hours.

Part time study

The course consists of 4 tutorials, each lasting 3 hours.

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