KAG/KGEO2 Geometry 2

Seminar lecturer: Marek Jukl
Seminar: 12 hours/semester
Credits: 5
Winter semester
Form of course completion: course credit, exam

• Quadratic and bilinear forms, polar bases, signatures.
• Diagonalisation of the matrix of a real quadratic form.
• Conics in the Euclidean plane. Canonical equations.
• Lines and conics.
• Metric and affine classification of conics, affine and metric invariants.
• Quadratic surfaces in a 3-dimmensional Euclidean space (quadrics). Canonical equations.
• Lines and quadrics. Planes and quadrics.
• Metric and affine classification of quadrics.