CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Tensor Geometry II MAT554 FALL-SPRING 3+0 E 6
    Learning Outcomes
    1-To comprehend the spaces with constant curvature
    2-To use tensors on curves and surfaces
    3-To derive applications using tensors
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14342
    Classroom study (Pre-study, practice)14570
    Assignments2041040
    Short-Term Exams (exam + preparation) 0000
    Midterm exams (exam + preparation)3011414
    Project0000
    Laboratory 0000
    Final exam (exam + preparation) 5011616
    Other 0000
    Total Workload (hours)   182
    Total Workload (hours) / 30 (s)     6,07 ---- (6)
    ECTS Credit   6
  • Course Content
  • Week Topics Study Metarials
    1 Spaces of constant curvature
    2 Normal coordinates
    3 Tensors in Euclidean geometry
    4 Regular surfaces
    5 Structure formulas for surfaces
    6 Tensors in classical mechanics
    7 Differential operators
    8 The Lorentz group
    9 Relativistic kinematics
    10 Maxwell`s equations
    11 Abstract vector spaces
    12 Tensors on vector spaces
    13 The theory of manifolds
    14 Tensor fields on manifolds
    Prerequisites -
    Language of Instruction Turkish
    Responsible Assist. Prof. Dr. Celalettin KAYA
    Instructors -
    Assistants The related lecturers of the department
    Resources 1) Kay, D.C. 1988. Schaum`s Outline of Theory and Problems of Tensor Calculus. McGrawHill, 228 p., USA. 2)Ekmekçi, F.N., Hacısalihoğlu, H.H. 2003. Tensör Geometri. Ankara Üniversitesi Fen Fakültesi, 256 s., Ankara.
    Supplementary Book Dodson, C.T.J., Poston, T. 2009. Tensor Geometry: The Geometric Viewpoint and its Uses, 2nd Edition. Springer, 434 p., Germany.
    Goals To use tensors on curves and surfaces and to use tensors on applications.
    Content Curves and surfaces and to use tensors on applications.
  • Program Learning Outcomes
  • Program Learning Outcomes Level of Contribution
    1 Improve and deepen the gained knowledge in Mathematics in the speciality level 5
    2 Use gained speciality level theoretical and applied knowledge in mathematics 5
    3 Perform interdisciplinary studies by relating the gained knowledge in Mathematics with other fields. 2
    4 Analyze mathematical problems by using the gained research methods 4
    5 Conduct independently a study requiring speciliaty in Mathematics 5
    6 Develop different approaches and produce solutions by taking responsibility to problems encountered in applications 5
    7 Evaluate the gained speciality level knowledge and skills with a critical approach and guide the process of learning 3
    8 Transfer recent and own research related to mathematics to the expert and non-expert shareholders written, verbally and visually 5
    9 Make use of the necessary computer softwares and information technologies related to Mathematics -
    10 Have the awareness of acting compatible with social, scientific, cultural and ethical values during the process of collecting, interpreting, applying and informing data related to Mathematics 4
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