Academic Catalog

MATH371 DIFFERENTIAL GEOMETRY

Course Code:	2360371
METU Credit (Theoretical-Laboratory hours/week):	4(4-0)
ECTS Credit:	7.5
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:	Lecturer Dr. MUHÝDDÝN UÐUZ
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360251 , 2360261 Set 2: 2360214 , 2360261
One of the sets above should be completed before taking MATH371 DIFFERENTIAL GEOMETRY.

Course Content

Curves in R3: Frenet formulas and Fundamental Theorem. Regular surfaces. Inverse image of regular values. Differentiable functions on surfaces. Tangent plane; the differential of a map. vector fields. the first fundamental form. Gauss map. second fundamental form. normal. principal curvatures. principal and asymptotic directions. Gauss map in local coordinates. Covariant derivative. geodesics.