CANKIRI KARATEKIN UNIVERSITY
Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    ANALYTIC GEOMETRY I MAT105 FALL 2+2 C 6
    Learning Outcomes
    1-To explain the relationship between a line in plane and its equation.
    2-To use geometric transformations in plane.
    3-To determine the image of geometric objects in the plane under affine transformations.
    4-To explain properties of geometric objects do not change under affine transformations.
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14456
    Classroom study (Pre-study, practice)14570
    Assignments102612
    Short-Term Exams (exam + preparation) 102612
    Midterm exams (exam + preparation)3011414
    Project0000
    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 Rectangular coordinates system and polar coordinates in plane and space
    2 The definition of a vector and algebra of vectors
    3 Linear dependence, dot product, angle between two vectors
    4 Cross product and mixed product
    5 Line in plane
    6 Line in space
    7 Plane in space
    8 Line-space relations in space
    9 Relations between two planes in space
    10 The distance of a point to a line and a plane
    11 Symmetry in space
    12 Translation in plane
    13 Rotation in plane
    14 Rotation-translation, Translation-rotation in plane
    Prerequisites -
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Celalettin KAYA
    Instructors

    1-)Ufuk Öztürk

    Assistants -
    Resources Analitik Geometri (9. Baskı), Rüstem Kaya, Bilim Teknik Yayınevi, 2009.
    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] Analytic Geometry, H. İbrahim Karakaş, METU Department of Mathematics, Ankara,1994. [5] Analytic Geometry (Schaum`s Outline Series in Mathematics), J. H. Kindle, McGraw-Hill, 1990.
    Document Lecture Notes
    Goals To introduce fundamental concepts of plane geometry and to teach the relation between algebra and geometry.
    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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