Bologna Information System

  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Learning Outcomes
    1-To classify conics types
    2-To classify second degree algebric curves using transformations
    3-To classify surfaces and its types in space
    4-To use geometric transformations in space
    5-To classify second degree surfaces
  • ActivityPercentage


    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14456
    Classroom study (Pre-study, practice)14570
    Short-Term Exams (exam + preparation) 102612
    Midterm exams (exam + preparation)3011414
    Laboratory 0000
    Final exam (exam + preparation) 5011414
    Other 0000
    Total Workload (hours)   178
    Total Workload (hours) / 30 (s)     5,93 ---- (6)
    ECTS Credit   6
  • Course Content
  • Week Topics Study Metarials
    1 Circle
    2 Elipse
    3 Hyperbola
    4 Parabola
    5 The classification of second degree plane algebraic curves
    6 The reduction of second degree plane algebraic curves to the standart form
    7 Examples related to the reduction to standart form
    8 Sphere surface
    9 Cylinder syrface
    10 Cone surface
    11 Regle surfaces
    12 Surfaces of revolution
    13 Second degree algebraic surfaces and canonical forms
    14 The reduction of second degree algebraic surfaces to their canonical forms
    Prerequisites ANALYTIC GEOMETRY I
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Celalettin KAYA
    Instructors -
    Assistants -
    Resources Analytic Geometry, H. İbrahim Karakaş, METU Department of Mathematics, Ankara,1994.
    Supplementary Book [1] Analitik Geometri (7. Baskı), Arif Sabuncuoğlu, Nobel Akademik Yayıncılık, Ankara, 2012. [2] Analitik Geometri (8. Baskı), H.Hilmi Hacısalihoğlu, Hacısalihoğlu Yayıncılık, Anakara, 2013. [3] Çözümlü Analitik Geometri Problemleri (3.Baskı), H.Hilmi Hacısalihoğlu, Ömer Tarakçı, Hacısalihoğlu Yayıncılık, Anakara, 2012. [4] Analitik Geometri (9. Baskı), Rüstem Kaya, Bilim Teknik Yayınevi, 2009.
    Document Lecture notes.
    Goals To introduce the basics of space geometry and to classify surfaces.
    Content -
  • Program Learning Outcomes
  • Program Learning Outcomes Level of Contribution
    1 To have a grasp of theoretical and applied knowledge in main fields of mathematics 5
    2 To have the ability of abstract thinking 4
    3 To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps 5
    4 To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life 3
    5 To have the qualification of studying independently in a problem or a project requiring mathematical knowledge 2
    6 To be able to work compatibly and effectively in national and international groups and take responsibility -
    7 To be able to consider the knowledge gained from different fields of mathematics with a critical approach and have the ability to improve the knowledge 2
    8 To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge 2
    9 To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time -
    10 To be able to transfer thoughts on issues related to mathematics, proposals for solutions to the problems to the expert and non-expert shareholders written and verbally 3
    11 To be able to produce projects and arrange activities with awareness of social responsibility -
    12 To be able to follow publications in mathematics and exchange information with colleagues by mastering a foreign language at least European Language Portfolio B1 General Level -
    13 To be able to make use of the necessary computer softwares (at least European Computer Driving Licence Advanced Level), information and communication technologies for mathematical problem solving, transfer of thoughts and results -
    14 To have the awareness of acting compatible with social, scientific, cultural and ethical values -
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