CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Differential Geometry I MAT307 FALL 4+0 C 5
    Learning Outcomes
    1-Defines the basic concepts of differential geometry
    2-Explains the relationship between affine space and Euclidean space
    3-Describes the concepts of tangent vector and vector field
    4-Explains the basic concepts of the theory of curves
    5-Constructs the Frenet frame of the curve
    Prerequisites -
    Language of Instruction Turkish
    Responsible Asst. Prof. Dr. Kahraman Esen ÖZEN
    Instructors -
    Assistants -
    Resources R1. Yüce, S. (2017). Öklid Uzayında Diferansiyel Geometri, 1. Baskı. Pegem Akademi, Ankara R2. Hacısalihoğlu, H. H. (2000). Diferensiyel Geometri, Cilt I, 4. Baskı. Ankara Üniversitesi Fen Fakültesi Yayınları, Ankara
    Supplementary Book SR1. Özdemir, M. (2020). Diferansiyel Geometri, 1. Basım. Altın Nokta Yayınevi, İzmir SR2. Şahin, B. (2021). Diferansiyel Geometri, 1. Basım. Palme Yayınevi, İzmir
    Goals To teach the basic concepts and results of classical differential geometry about Affine space and Euclidean space and to provide the background for students who want to be a graduate student in this field
    Content Euclidean space, Tangent vectors, Vector fields, Covariant derivative, Cotangent vector, Curves
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