Selected topics in geometry. The content may vary from year to year.

CILO-1: Apply concepts and basic tools of differential equations to solve the existence and uniqueness problems in differential geometry related to surfaces. CILO-2: Analyze the properties of curvatures and topology of surfaces. CILO-3: Explain local properties of Gauss map, curvatures and geodesics. CILO-4: Construct proof of Gauss-Bonnet Theorem, local existence of good coordinate systems.