Bologna Information System

  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Learning Outcomes
    1-To explain fundamentals of matrix theory.
    2-To solve linear systems in several variables using matrices.
    3-To explain fundamentals of real vector spaces.
    4-To use basic knowledge of the theory of linear transformation.
  • 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 System of linear equations, solving linear equations by elimination method
    2 Matrices, matrix operations and algebraic properties, special types of matrices and echelon form of a matrix
    3 Gauss elimination method
    4 Elementary matrices, finding the inverse of a matrix, equivalent matrices
    5 Vectors in the plane and in 3-space, vector spaces
    6 Subspaces
    7 Span and linear independence
    8 Determinants and their properties
    9 Cofactor expansion, inverse of a matrix, Cramer`s rule
    10 Basis and dimension
    11 Coordinates and isomorphisms
    12 Basis transformation matrices
    13 Homogeneous systems, rank of a matrix
    14 Permutation and determinants
    Prerequisites -
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Nihal Bircan

    1-)Doçent Dr Faruk Karaaslan

    Assistants -
    Resources Elementary Linear Algebra, 8th Edition, B. Kolman, D.R. Hill, Prentice-Hall, New Jersey, 2004.
    Supplementary Book [1] Basic Linear Algebra, Second Edition, T.S. Blyth, E.F. Robertson, Springer 2002. [2] Linear Algebra, 2nd Edition, K. Hoffman, R. Kunze, Prentice-Hall, New Jersey, 1971.
    Document Lecture Notes
    Goals The aim of the course is to provide the basic linear algebra background needed by mathematicians. Many concepts in the course will be presented in the familiar setting of the real n-dimensional space.
    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 3
    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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