| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MEY128Y | Linear Algebra Applications and Teaching | Elective | 1 | 2 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To be able to introduce mathematical structures and to gain the ability to apply them; To be able to comprehend basic concepts such as vector, vector space, matrix, matrix space, linear transformation; to gain the ability to use and apply the mathematical knowledge learned. |
| Name of Lecturer(s) |
| Dr.Öğr.Üyesi Ebubekir Akkoyunlu |
| Learning Outcomes |
| 1 | Knows the basic concepts of matrix algebra, can apply basic operations defined on matrices, and develops different applications for teaching these operations | | 2 | Can apply the solution methods of linear equation systems and develop different applications for teaching these solution methods. | | 3 | Can understand the basic concepts of vector spaces and can prove the basic properties of these concepts. | | 4 | Develops different applications for teaching linear independence, basis and dimension concepts. | | 5 | Can understand the basic concepts of linear transformations and can make proofs about the basic properties of these concepts and have students do it. | | 6 | Develops different applications for teaching the relationship between linear transformations and matrices. |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| none |
| Recommended Optional Programme Components |
|
| Course Contents |
|
| Weekly Detailed Course Contents |
|
| 1 | Teaching of matrices | | | | 2 | Linear equation systems and teaching of Linear equation systems | | | | 3 | Linear equation systems and teaching of Linear equation systems | | | | 4 | | Matris işlemleri, özel matrisler, elemanter satır işlemleri ve uygulamaları | | | 5 | Teaching of finding inverses of matrices | | | | 6 | Linear equation systems, their solutions and teaching of these subjects | | | | 7 | Linear equation systems, their solutions and teaching of these subjects | | | | 8 | Vectors in R^2 and R^3 and introduction to the concept of vector space | | | | 9 | Subspaces | | | | 10 | Teaching of linear independence | | | | 11 | Teaching of base and dimension | | | | 12 | Teaching of linear transformations | | | | 13 | Teaching of linear transformations | | | | 14 | Teaching of kernel and subspaces | | | | 15 | Final exam | | |
|
| Recommended or Required Reading |
| Hill,D. and Kolman, B. 2007. Elementary Linear Algebra with Applications, Prentice Hall
Önerilen Kaynaklar:
Sabuncuoğlu, A. 2008. Çözümlü Lineer Cebir Alıştırmaları, Nobel Yayın Dağıtım.
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. |
| 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 | 30 | | End Of Term (or Year) Learning Activities | 70 | | SUM | 100 |
| | Language of Instruction | | | Work Placement(s) | | none |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Field Work | 14 | 3 | 42 |
| Individual Study for Mid term Examination | 14 | 2 | 28 |
| Individual Study for Final Examination | 14 | 3 | 42 |
| Reading | 14 | 3 | 42 |
| Homework | 14 | 2 | 28 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | | LO2 | 5 | 4 | 5 | 5 | 5 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 4 | 4 | | LO3 | 4 | 4 | 5 | 5 | 5 | 4 | 5 | 4 | 5 | 5 | 5 | 4 | 4 | 4 | | LO4 | 5 | 5 | 5 | 4 | 4 | 5 | 5 | 5 | 4 | 5 | 4 | 5 | 5 | 5 | | LO5 | 4 | 5 | 3 | 3 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | | LO6 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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