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  • 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
  • ECTS / WORKLOAD
    • ActivityPercentage

    (100)

    		NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14228
    Classroom study (Pre-study, practice)14114
    Assignments0000
    Short-Term Exams (exam + preparation) 0000
    Midterm exams (exam + preparation)4011010
    Project0000
    Laboratory 0000
    Final exam (exam + preparation) 6011515
    0000
    Total Workload (hours)   67
    Total Workload (hours) / 30 (s)     2,23 ---- (2)
    ECTS Credit   2
  • Course Content
    • Week Topics Study Metarials
    1 Linear Equation Systems, Matrices R2- Chapter 1
    2 Elementary Matrices, in Matrix Elementary Column Operations, Triangle Decomposition R1- Chapter 1
    3 Permutation Concept, Determinant Function R1- Chapter 1
    4 Determinant Spread, Cramer Method R1- Chapter 1
    5 Concept of Vector Space, Vectors in Plane R1- Chapter 2
    6 Vectors in Space, Sub Vector Space R1- Chapter-2
    7 Linear Composition Concept, Linear Independence R1- Chapter 2
    8 Size of Vector Space R1- Chapter 2
    9 Rank of Matrix, Zero of Matrix Space R1- Chapter 3
    10 Linear Transformations R1- Chapter 3
    11 Matrix of Linear Transformation R1- Chapter 3
    12 Inner Product R1- Chapter 4
    13 Orthogonal Complement, Vector Product R1- Chapter 4
    14 Essence of Linear Transformation Vectors, Diagonalizable Conversions R1- Chapter 5
    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
  • Program Learning Outcomes
    • Program Learning Outcomes Level of Contribution
    1 Acquired the necessary skills in the areas of mathematics, applied sciences and his/her own field; has the ability to use collectively these concepts and applications of these fields to solve the problems of Electrical and Electronics Engineering, 5
    2 Has the ability to define, identify, formulate and solve the problems of Electrical and Electronics Engineering and selects the appropriate analytic solutions, modelling and applies them in an orderly manner, 4
    3 Analyses a system or a process and designs it under the given constraints meeting the requirements; applies the up to date design techniques in this direction, 1
    4 Has the ability to choose and utilize the modern technologies and tools of engineering; has the ability to use information technologies and at least one software language (at the advanced European License level) in an efficient way, -
    5 Has the ability to design experiments, carries out experiments, analyses results and makes comments on these results, -
    6 Has access to information and undertakes literature survey in this direction; has the ability to search and use databases and other data resources, 3
    7 Can participate and assume responsibility in multidisciplinary task forces, -
    8 Has the ability to communicate in Turkish verbally and in written forms; has the knowledge of one foreign language of European portfolio at the B1 level, -
    9 Conscious of lifelong learning; follows the science and technological developments and updates himself/herself continually, 2
    10 Has the responsibility and conscious in his/her profession, -
    11 Has the ability to conduct projects, has knowledge of the work procedures, health of workers, environment and safety procedures of work places; is aware of legal consequences of engineering applications, -
    12 Is conscious of the consequences and effects of engineering solutions and applications in public and universal dimensions; is aware of innovation matters and has knowledge of the contemporary issues and problems, -
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