| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MT204B | Linear Algebra II | Compulsory | 2 | 4 | 2 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Introducing the mathematical structures and operations and making students get the skills of their applications, the determinant function, using this, being able to make area and volume calculations, being able to find the solutions of the linear equation systems, being able to use the mathematical materials taught and getting the skills to be able to do some applications |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Tuba AĞIRMAN AYDIN |
| Learning Outcomes |
| 1 | 1. Understand to differences between linearity and line | | 2 | 2. Understanding the basic concepts and able to profs some theorems the basic properties of linear transformations | | 3 | 3. Understanding basic concepts of karnels and image of linear transformations and able to profs some basic properties of karnels and images | | 4 | 4. Able to Apply the dimension theorems to other concepts | | 5 | 5. Able to fıned matrix corresponding linear transformation |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Orthogonality, orthogonalite concept and distance functions in R^n, Gram-Schmidt process, orthogonal matrices, at least squares and their application. Determinants, properties of determinant functions, solution of linear equation system with Cramer rule, characteristic equation and polynomial of a matrix, Eigenvalues and Eigenvectors, diagonaling and matrices operations. |
| Weekly Detailed Course Contents |
|
| 1 | Determinants | | | | 2 | Properties of determinant functions | | | | 3 | Determinants of some special matrices | | | | 4 | Cramer methods in solving of linear equation systems | | | | 5 | Characteristic equation and polynomial of a matrix | | | | 6 | Characteristic equation and polynomial of a linear transformation | | | | 7 | Eigenvalues and Eigenvectors | | | | 8 | Mid-term exam | | | | 9 | Diagonaling and matrices operations | | | | 10 | Binary linear transformations | | | | 11 | Inner-product spaces | | | | 12 | Euclidean space | | | | 13 | Orthogonality | | | | 14 | Orthogonal and orthonormal bases | | | | 15 | Orthogonal matrices | | | | 16 | End-of-term exam | | |
|
| Recommended or Required Reading |
| Hill,D. and Kolman, B. 2007. Elementary Linear Algebra with Applications, Prentice Hall.Lipschutz,B. S. and Lipson , M. 2001. Theory and problems of Linear Algebra, Schaum's outlıne series.Frank, A. 1962, Theory and Problems of Matrices, Schaum's outline series.Sabuncuoğlu, A. 2008. Çözümlü Lineer Cebir Alıştırmaları, Nobel Yayın Dağıtım. |
| 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 |
| Self Study | 14 | 2 | 28 |
| Individual Study for Mid term Examination | 7 | 4 | 28 |
| Individual Study for Final Examination | 1 | 1 | 1 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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