Bologna Information System

  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    LINEAR ALGEBRA I MAT203 FALL 4+0 Fac./ Uni. C 7
    Learning Outcomes
    1-To be able to explain fundamentals of matrix theory
    2-To be able to solve linear systems in several variables using matrices.
    3-To be able to explain fundamentals of real vector spaces
    4-To be able 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)14684
    Short-Term Exams (exam + preparation) 102816
    Midterm exams (exam + preparation)3011212
    Laboratory 0000
    Final exam (exam + preparation) 5011616
    Other 0000
    Total Workload (hours)   200
    Total Workload (hours) / 30 (s)     6,67 ---- (7)
    ECTS Credit   7
  • 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 Basis and dimension
    9 Coordinates and isomorphisms
    10 Basis transformation matrices
    11 Homogeneous systems, rank of a matrix
    12 Permutation and determinants
    13 Determinants and their properties
    14 Cofactor expansion, inverse of a matrix, Cramer`s rule
    Prerequisites -
    Language of Instruction Turkish
    Course Coordinator Assist. Prof. Dr. Faruk KARAASLAN
    Instructors -
    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 -
    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 Systems of linear equations and finding solutions by elimination method. Matrix algebra. Reducing the augmented matrix to the row-echelon form by Gauss elimination method. Elementary matrices and the inverse of a matrix. Linear span and linear independence. Basis and dimension. Coordinates and isomorphisms. Transformation matrices between the bases. Homogenous systems of linear equations and matrix rank. Permutation and determinant. Properties of the determinant. Cofactor expansion, matrix inversion, Cramer?s rule.
  • 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 3
    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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