CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Mühendisler İçin Lineer Cebir EEM166 SPRING 2+0 C 2
    Learning Outcomes
    1-Interprets that mathematics is based on numbers and what mathematical systems do
    2-Points out that concepts such as numbers, vectors, matrices and functions, which are used by mathematics, can form various spaces
    3-Analyzes matrix algebra and the concept of vector space
    4-Applies the eigenvalue eigen space and diagonalization concepts
    Prerequisites -
    Language of Instruction Turkish
    Responsible Lect. Bedri Eminsoy
    Instructors -
    Assistants -
    Resources R1- Sabuncuoğlu, A. (2017). Mühendislik ve İstatistik Bölümleri için Lineer Cebir (2.Basım), Nobel Yayınları, Ankara. R2- Adams, R. A. & Christopfer, E. (2010). Çeviren: Terziler, M. & Öner, T. (2017). Kalkülüs Eksiksiz Bir Ders (1. Basım), Palme Yayınevi, Ankara.
    Supplementary Book -
    Goals To teach the basic concepts of Linear Algebra and their application to some engineering problems
    Content Matrices and systems of equations: Linear systems of equations, Row Echelon form, Matrix form, elementary matrices, separated matrices, Determinants: Determinant of a matrix, properties of determinant, Cramer`s rule, Vector spaces: definition and examples, subspaces, linear dependence, Basis 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 operation, orthogonal polynomials, Eigenvalues ??and eigenvectors, diagonalization, Hermit matrices, single value decomposition, Quadratic forms, Positively defined matrices
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