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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | EM116 | Linear Algebra | Compulsory | 1 | 2 | 4 |
| | Level of Course Unit | | First Cycle | | Objectives of the Course | | Students; the solution to the system of linear equations, matrices and matrix operations, determinant, rank, self worth and self transformation in two-dimensional space, vectors, vector spaces and linear operators theory-related concepts and methods in order to learn and apply. | | Name of Lecturer(s) | | Dr. Öğr. Üyesi Ebubekir AKKOYUNLU | | Learning Outcomes | | 1 | "n-dimensional linear systems, the method of the determinant (Cramer). " | | 2 | Matrix concepts on knows, knows the properties of special matrices, matrix and matrix arithmetic operations. | | 3 | The inverse matrix the inverse of the matrix, the concept of Additional (adjoint) matrix method, by appealing to the normal form with the help of groundwork for Cayley-Hamilton theorem and accounts. Inverse of a matrix property. | | 4 | Polynomial matrices and can process. | | 5 | Know the properties of the determinant determinantın, concept and solutions can take advantage of these, n-dimensional determinants are often in the coasts, Laplace and Laplace's methods, General 3-dimensional determinant method with accounts of sarrus | | 6 | n-dimensional linear equation system and method with a matrix equation, a. b. Cramer method, c. by appealing to the normal form. | | 7 | Elementary processes and elementary matrices. Echelon knows the concepts of form and normal form. You can use the solutions. | | 8 | Minor and marked minor (cofactor) knows the concepts and uses. | | 9 | Minor and marked minor (cofactor) knows the concepts and uses. | | 10 | Two dimensional space through the conversion matrix transformations. |
| | Mode of Delivery | | Normal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Linear equations systems solution (kramer, inverse matrix, normal form reduction methods), the matrix and the matrix determinant operations, self worth and self vectors, linear space in linear transformations. | | Weekly Detailed Course Contents | |
| 1 | Input. The issue date of algebra and linear method an overview.
| | | | 2 | 2 and 3-variable systems, Gauss method. 2 and 3-dimensional determinant.
| | | | 3 | 2 and 3-dimensional geometric interpretation of the system. determinantın n-dimensional definition.
| | | | 4 | determinantın n-dimensional properties and calculation methods.
| | | | 5 | Special determinants. Triangle, Vandermond and Tridiagonal determinant formed.
| | | | 6 | Laplas and Antilaplas theorems. Frame system for Kramer's theorem.
| | | | 7 | Matrices, matrix operations. Inverse matrix and the calculation method.
| | | | 8 | Midterm exam | | | | 9 | Writing in the form of the system matrix and inverse square matrix method of solving.
| | | | 10 | Rank on the matrix. Extended matrix. General system for Kroneker-Kapelli theorem.
| | | | 11 | n-dimensional real vector spaces and complex. Linear independence, basis and coordinates.
| | | | 12 | Linear transformation and matrix. According to a matrix transformation change is declining.
| | | | 13 | Eigenvalues and eigenvectors. Hamilton-Kel and Silvester theorems.
| | | | 14 | The Matrix Jordan Form. Likeness. Diagonal matrix similarity condition.
| | | | 15 | Metric, normed spaces and Euclidean spaces. Length, angle. quadratic forms, digital image.
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| | Recommended or Required Reading | | Garrison, d. Fabre, linear algebra, Exchange publications, İstanbul, 2000.
Lipschutz, S., Hacısalihoğlu, h., Adachi, d., linear algebra theory and Problems, the Nobel Prize in the publication Distribution, Ankara, 1991.
Ahmed Kahn, n., P, M, linear algebra and finite-dimensional theory of linear operators, Saha Bookstore, Sahid, 2006. | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 2 | 2 | | Quiz | 1 | 1 | 1 | | Attending Lectures | 14 | 2 | 28 | | Self Study | 14 | 2 | 28 | | Individual Study for Mid term Examination | 1 | 12 | 12 | | Individual Study for Final Examination | 1 | 16 | 16 | | Report | 1 | 10 | 10 | | Individual Study for Quiz | 1 | 5 | 5 | | Homework | 1 | 5 | 5 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | | | | | | | 1 | 3 | | LO2 | | | | | | | 3 | 3 | | LO3 | | | | | | | 3 | 5 | | LO4 | | | | | | | 1 | 5 | | LO5 | | | | | | | 4 | 3 | | LO6 | | | | | | | 4 | 3 | | LO7 | | | | | | | 3 | 1 | | LO8 | | | | | | | 3 | 3 | | LO9 | | | | | | | 1 | 5 | | LO10 | | | | | | | 2 | 2 |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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