CANKIRI KARATEKIN UNIVERSITY
Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    ALGEBRA I MAT303 FALL 4+0 C 6
    Learning Outcomes
    1-To explain the concepts of group, subgroup, factor group and cyclic group.
    2-To explain the group homomorphisms, isomorphisms and automorphisms.
    3-To classify the isomorphism class of a given finitely generated abelian group.
    4-To make direct product of groups.
  • 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 Mappings and binary relations
    2 Groups and tables of groups
    3 Subgroups
    4 Cosets and Lagrange Theorem
    5 Normal subgroups
    6 Quotient groups
    7 Symmetric groups
    8 Mid-term exam
    9 Group homomorphisms
    10 Automorphisms and isomorphism theorems
    11 Cyclic groups
    12 Cyclic groups
    13 Direct products
    14 Direct products
    Prerequisites -
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Nihal BİRCAN
    Instructors

    1-)Nihal Bircan

    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 The aim of the course is to work the fundamentals concepts and properties in group theory.
    Content Groups, subgroups. Cyclic groups. Cosets, Lagrange theorem. Normal subgroups, factor groups. Isomorphisms and automorphisms. Direct products.
  • 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 3
    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 -
    Çankırı Karatekin Üniversitesi  Bilgi İşlem Daire Başkanlığı  @   2017 - Webmaster