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Prerequisites
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Language of Instruction
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Turkish
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Responsible
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Res. Assist. Dr. Gül UĞUR KAYMANLI
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Instructors
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Assistants
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Assoc. Prof. Dr. Ufuk ÖZTÜRK
Assist. Prof. Dr. Celalettin KAYA
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Resources
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K1 Hacısalihoğlu, H. H. Diferensiyel Geometri Cilt : 1 (3. Baskı). Hacısalihoğlu Yayınları, Anakara, 1998
K2 Lecture Notes
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Supplementary Book
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YK1 Sabuncuoğlu, A. Diferensiyel Geometri (4. Baskı). Nobel Akademik Yayıncılık, 2010
YK2 Ekici, C. Diferensiyel Geometri. ESOGU Yayınları
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Goals
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To teach the basic concepts and results of classical differential geometry about curves and to provide the background for students who want to graduate in this field.
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Content
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Geometries and some concepts, Affine Space and Eucliden Space, Topological Manifold and Diffeomorphism, Differentiable Manifold, Tangent Vectors and Tangent Space, Directional Derivative and Covariant Derivative, Integral Curves and Lie Operator, Gradient, Divergence, Rotationnel Functions and Differentation of A Transformation, Curves and Changing Parameters, Serret-Frenet Vectors, Osculating Hyperplane of a Curve, Curvatures and Geometric Meaning of Them, Center of Curvature and Osculating Sphere, Parallel and Involute - Evolute Offset Curve, Bertrand and Mannheim Offset Curve
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