CANKIRI KARATEKIN UNIVERSITY
Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    ABSTRACT MATHEMATICS II MAT104 SPRING 2+2 C 6
    Learning Outcomes
    1-To explain how to construct natural numbers, integers, rational numbers.
    2-To explain the concept of countable sets.
    3-To determine countability of a set.
    4-To comment "operation" and its properties.
    5-To describe basic algebraic structures and the transformations conserving structures (homomorphisms).
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14456
    Classroom study (Pre-study, practice)15575
    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)   183
    Total Workload (hours) / 30 (s)     6,1 ---- (6)
    ECTS Credit   6
  • Course Content
  • Week Topics Study Metarials
    1 Operations, definition and examples
    2 Properties of an operation (commutative property,associative property, inverse element, identity element)
    3 Construction of natural numbers,definition of addition and multiplication
    4 Properties of addition and multiplication in natural numbers
    5 Countable sets
    6 Construction of integers and definition of addition and multiplication
    7 Additional properties of addition and multiplication in the set of integers
    8 Construction of rational numbers and definition of addition and multiplication
    9 Additional properties of rational numbers
    10 Group
    11 Examples of Groups (Z, Z_m,Q)
    12 Ring; definition and examples(Z, Zm,Q)
    13 Field; definition and examples (Q, Z_p p asal)
    14 Group, ring homomorfizms
    Prerequisites ABSTRACT MATHEMATICS I
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Nihal BİRCAN
    Instructors -
    Assistants -
    Resources Matematiğin Temelleri, Halil İbrahim Karakaş, ODTÜ Geliştirme Vakfı Yayınları, 2011.
    Supplementary Book [1] Soyut Matematik, Hüseyin Irmak, Pegem Akademi, 2008. [2] Soyut Matematiğe Giriş, Genişletilmiş İkinci Basım, Karaçay, T., 2009.
    Document Lecture Notes
    Goals To explain the construction of natural numbers, integers, rational numbers, to teach algebraic structures and homomorphisms.
    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 5
    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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