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  • Course Information
    • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Lineer Algebra BİL221 FALL 3+0 C 6
    Learning Outcomes
    1-learn the mathematics is built on numbers and what mathematical systems do.
    2-understand concepts such as numbers, vectors, matrices and functions used by mathematics can form various spaces.
    3-design the geometrically corresponding concepts when reducing the dimensions of these spaces to 2 and 3.
    4- learn to prove theorems and to transfer the concepts learned to other topics in mathematics.
    5-search Linear Equation Systems and Solution Methods.
  • ECTS / WORKLOAD
    • ActivityPercentage

    (100)

    		NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14342
    Classroom study (Pre-study, practice)14684
    Assignments0000
    Short-Term Exams (exam + preparation) 0000
    Midterm exams (exam + preparation)4012525
    Project0000
    Laboratory 0000
    Final exam (exam + preparation) 6012525
    Other 0000
    Total Workload (hours)   176
    Total Workload (hours) / 30 (s)     5,87 ---- (6)
    ECTS Credit   6
  • Course Content
    • Week Topics Study Metarials
    1 Matrices and Systems of Equations: Systems of Linear Equations, Row Echelon Form R1-Chapter-1
    2 Matrix algebra, elementary matrices, separated matrices R1-Chapter-1
    3 Determinants: determinant of a matrix, properties of determinant, Cramer`s rule R1-Chapter-2
    4 Vector spaces: definition and examples, subspaces, linear dependence R1-Chapter-3
    5 Base and dimension, base change, row space and column space R1-Chapter-3
    6 Linear transformations: definition and examples, matrix representation of linear representations, similarity R1-Chapter-4
    7 Orthogonality: scalar product in n-dimensional real space, orthogonal subspaces R1-Chapter-5
    8 Least squares method, inner product spaces, orthonormal sets R1-Chapter-5
    9 Gram-Shmidt orthogonalization process, orthogonal polynomials R2-Chapter-6
    10 Eigenvalues and eigenvectors, diagonalization R2-Chapter-8
    11 Hermit matrices, single value decomposition R3-Chapter-7
    12 Quadratic forms R3-Chapter-8
    13 Positive defined matrices-I R3-Chapter-8
    14 Positive defined matrices-II R3-Chapter-10
    Prerequisites -
    Language of Instruction Turkish
    Responsible Assist. Prof. Dr. Seda ŞAHİN
    Instructors -
    Assistants -
    Resources R1.Sabuncuoğlu, A. (2012). Mühendislik ve İstatistik Bölümleri için Lineer Cebir(2. Basım). Nobel Akademik Yayıncılık, Ankara. R2.Leon, S. J. (2015). Linear Algebra with Applications (7th edition). Pearson Prentice Hall, New Jersey. R3.Kolman, B.(2021). Introductory Linear Algebra with Applications (8th edition). Pearson Prentice Hall, New Jersey.
    Supplementary Book -
    Goals To teach the basic concepts of linear algebra and its application to some engineering problems
    Content Matrices and Systems of Equations: Systems of Linear Equations, Row Echelon Form, Matrix algebra, elementary matrices, separated matrices, Determinants: determinant of a matrix, properties of determinant, Cramer`s rule, Vector spaces: definition and examples, subspaces, linear dependence, Base and dimension, base change, row space and column space, Linear transformations: definition and examples, matrix representation of linear representations, similarity, Orthogonality: scalar product in n-dimensional real space, orthogonal subspaces, Least squares method, inner product spaces, orthonormal sets, Gram-Shmidt orthogonalization process, orthogonal polynomials, Eigenvalues and eigenvectors, diagonalization, Hermit matrices, single value decomposition, Quadratic forms, Positive defined matrices
  • Program Learning Outcomes
    • Program Learning Outcomes Level of Contribution
    1 To be able to apply mathematics, science and engineering theories and principles to Computer Engineering problems. 5
    2 To have the ability to define, model, and solve problems related to Computer Engineering. 4
    3 To be able to design and conduct experiments, as well as to analyze and interpret data. 2
    4 To be able to design and analyze a process for a specific purpose within technical and economical limitations. -
    5 To be able to use modern techniques and calculation tools required for engineering applications. -
    6 To have the awareness of professional liabilities and ethics. -
    7 To be able to get involved in interdisciplined and multidisciplined team work. -
    8 To be able to declare his/her opinions orally or written in a clear, concise and brief manner. -
    9 To improve him/herself by following the developments in science, technology, modern issues, and know the importance of lifelong learning. -
    10 To be able to evaluate engineering solutions for the global and social problems especially for the health, safety, and environmental problems. -
    11 To have knowledge about of contemporary issues. -
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