Bologna Information System

  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Learning Outcomes
    1-To give examples related to concept of ring properties
    2-To explain concepts of subring, quotient ring and ideal
    3-To explain between integral domain and field
    4-To proove whether a ring is subring or ideal
    5-To explain varieties of ideals.
  • 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 Definition and Examples of ring
    2 Subrings
    3 Integral domains
    4 Characteristic of a ring
    5 Ideals and quotient rings
    6 Ideals and quotient rings
    7 Ideals and quotient rings
    8 Ideals and quotient rings
    9 Ring isomorphism
    10 Field of fractions of an integral domain and rational numbers
    11 Field of fractions of an integral domain and rational numbers
    12 Ordered integral domains
    13 Real numbers fields
    14 Complex numbers fields
    Prerequisites ALGEBRA I
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Nihan BİRCAN
    Instructors -
    Assistants --
    Resources Soyut Cebir, Dursun TAŞÇI, Alp Yayınevi, Ankara, 2007
    Supplementary Book 1. Abstract Algebra, I. N. Herstein, John Wiley&Sons Inc., NY., 1996 2. Abstract Algebra, David S. Dummit, Richard M. Foote, Wiley, 2003
    Document Lecture Notes.
    Goals Learning of the fundamental concepts of the ring and field theories
    Content Ring, subring, ideals and quotient ring. Ring homomorphisms and isomorphisms. Integral domains and fields.
  • 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 2
    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 4
    8 To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge 4
    9 To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time 2
    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 4
    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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