|
|
| MAT1017 | Linear Algebra | 4+0+0 | ECTS:6 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of STATISTICS and COMPUTER SCIENCES | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Prof. Dr. Osman KAZANCI | | Co-Lecturer | Assoc. Prof. Dr. Funda Karaçal | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To provide the students with a general knowledge on mathematical approach and the basics of linear algebra. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | recognize the notions of a linear space , a matrix and a system of linear system of equations | 5,6 | 1 | | LO - 2 : | recognize the rank of a matrix | 5,6 | 1 | | LO - 3 : | explain the notions of the geometry of Euclidean space | 5,6 | 1 | | LO - 4 : | explain the notions of a bilinear form and a linear operator and use the definitions to prove basic facts about them | 5,6 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Lineer spaces; Marrices; Rank of a matrix; A system of linear equations; The method of Gauss; Permutations; Determinants; Minors; Inverse matrices; Euclidean spaces; Linear and bilinear forms; Linear operators; Eigen-values and eigen- vectors
|
| |
| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Lineer spaces | | | Week 2 | Matrices | | | Week 3 | Rank of a matrix | | | Week 4 | The system of linear equations | | | Week 5 | The method of Gauss | | | Week 6 | Permutations | | | Week 7 | Determinants | | | Week 8 | Minors | | | Week 9 | Mid-term exam | | | Week 10 | Inverse matrices | | | Week 11 | Euclidean spaces | | | Week 12 | Linear and bilinear forms | | | Week 13 | Linear operators | | | Week 14 | Eigen-values and eigen- vectors | | | Week 15 | Unitar spaces | | | Week 16 | End-of-term exam | | | |
| 1 | Bernard KOLMAN; Elementer Lineer Cebir, Bilim Teknik Yayınevi, Istanbul, 2000 | | | |
| 1 | Hacısalihoğlu, H. H., 1982; Lineer Cebir, Bizim Büro, Ankara | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 02/04/2019 | 2 | 50 | | End-of-term exam | 16 | 23/05/2019 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 7 | 14 | 98 | | Arasınav için hazırlık | 7 | 1 | 7 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 175 |
|