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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. Hilmi. Dönüşümler ve Geometriler, Ankara Üniversitesi Fen Fakültesi, Matematik Bölümü., 1998.
K2 Lecture Notes
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Supplementary Book
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YK1 Dönnüşümler ve Geometri, ASÜ Lecture Notes
YK2 Dönnüşümler ve Geometri, SAÜ Lecture Notes
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Goals
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Conversions classification of geometries, direct and counter-movements to be achieved by means of transformations, the geometry of motion introduce similarity transformation to obtain direct and opposite, the introduction of similarity geometry, metric and non-metric properties of features, teaching affine group of affine transformation with the help of the acquisition, the teaching of geometry affine.
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Content
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Affine groups, central affine otomorfizim; Radial conversion, translation, dilation; Affine subspaces, affine subspace and parallelisim; Affine subspace parametric and barisentric expressions; Affine roof, the roof of Euclidean; r-dimensional volume of parallel; Conversions classification of geometries; Solid movements ; Reflections; Direct Actions; Counter moves; Euclidean plane congruences; Similarity groups; Expansion of the concept of similarity
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