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: Prof.Dr. CEM TEZER
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.