CANKIRI KARATEKIN UNIVERSITY
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  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    ANALYTIC GEOMETRY I MAT105 FALL 3+0 Fac./ Uni. C 4
    Learning Outcomes
    1-To be able to explain the relationship between a line in plane and its equation
    2-To be able to determine linear dependence by using matrices
    3-To be able to determine the image of geometric objects in the plane under affine transformations
    4-To be able to explain properties of geometric objects do not change under affine transformations
    5-To be able to classify types of conics
    6-To be able to classify types of curves
    7-To be able to classify second degree plane algebraic curves by using transformations
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14342
    Classroom study (Pre-study, practice)14342
    Assignments10248
    Short-Term Exams (exam + preparation) 10248
    Midterm exams (exam + preparation)30166
    Project0000
    Laboratory 0000
    Final exam (exam + preparation) 50188
    Other 0000
    Total Workload (hours)   114
    Total Workload (hours) / 30 (s)     3,8 ---- (4)
    ECTS Credit   4
  • Course Content
  • Week Topics Study Metarials
    1 Systems of linear equations, algebra of matrices, row operations
    2 Determinant and its properties
    3 Rectangular coordinates in plane and space, polar coordinates
    4 The definition of a vector and algebra of vectors
    5 Linear dependence, dot product, angle
    6 Cross product and mixed product
    7 Line in plane and line equations, distance in plane
    8 Symmetry and translation in plane
    9 Rotation in plane
    10 The notion of a curve and its examples, algebraic and transcandental curves in plane
    11 Specifying conics as geometric loci
    12 Circle, the power of a point with respect to a circle, ellipse
    13 Parabola, hyperbola and their asymptotes
    14 The classification of second degree plane algebraic curves
    Prerequisites -
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Celalettin KAYA
    Instructors -
    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 -
    Goals To introduce fundamental concepts of plane geometry and to teach the relation between algebra and geometry
    Content Systems of linear equations, algebra of matrices, row operations; Determinant and its properties; Rectangular coordinates in plane and space, polar coordinates; The definition of a vector and algebra of vectors; Linear dependence, dot product, angle between two vectors; Cross product and mixed product; Line in plane and line equations, distance in plane; Symetry and translation in plane; Rotation in plane; The notion of a curve and its examples, algebraic and transcandental curves in plane; Specifying conics as geometric loci; Circle, the power of a point with respect to a circle, ellipse; Parabola, hyperbola and their asymptotes; The classification of second degree plane algebraic curves
  • 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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