Academic Catalog

MATH541 DIFFERENTIAL TOPOLOGY

Course Code: 2360541
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator:
Offered Semester: Fall Semesters.

Course Content

Manifolds and differentiable structures. Tangent Space. Vector bundles. Immersions, submersions, embeddings. Transversality. Sard's theorem. Whitney Embedding Theorem. The exponential map and tubular neighborhoods. Manifolds with boundary. Thom's tranversality Theorem.