Academic Catalog

MATH371 DIFFERENTIAL GEOMETRY

Course Code:	2360371
METU Credit (Theoretical-Laboratory hours/week):	4(4-0)
ECTS Credit:	9.0
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: 2360251 , 2360263 Set 3: 2360261 , 2360271 Set 4: 2360263 , 2360271
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.