Syllabus
Symmetry and polynomials: Polynomials with several variables, symmetric polynomials; their use for solving algebraic equations with one variable.
Symmetry and relations: Symmetric and skew-symmetric relations, types of relations, their properties and applications.
Symmetry and groups: Alternating groups, their usage. Link to geometry.
Symmetry and matrices: Symmetric matrices, their link to systems of linear equations and quadratic forms.
Symmetry and graphs: Symmetric graphs, symmetrization of a graph.
Annotation
This optinal subject covers the following topics: symmetry and polynomials, symmetry and relations, symmetry and groups, symmetry and matrices, symmetry and graphs.