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| MAT2005 | Linear Algebra-I | 4+0+0 | ECTS:7 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Doç. Dr. Ümit ERTUĞRUL | | Co-Lecturer | DOCTOR LECTURER Şerife YILMAZ | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The course aims to provide the students with a general knowledge on the concepts of abstract vector spaces and matrices, to enableto acquire the basic techniques of solving system of linear equations |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | define the axiomatic structures of linear algebra in Rn and apply them in simple proofs | 6,7 | | | LO - 2 : | calculate the invert matrices | 6,7 | | | LO - 3 : | solve systems of linear equations | 6,7 | | | LO - 4 : | apply linear algebra methods to geometric problems in R^n. | 6,7 | | | 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 | | |
| Vectors spaces, subspaces, linear independence, span, bases, dimension, linear transformations, matrix algebra, inverse of an nxn matrix, systems of linear equations, Gaussian elimination. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Vector spaces | | | Week 2 | Subspaces | | | Week 3 | Spanning Sets | | | Week 4 | linear independence | | | Week 5 | Basis and dimension | | | Week 6 | Linear transformations | | | Week 7 | Nullspace and Rangespace | | | Week 8 | Matrices | | | Week 9 | Mid-term exam | | | Week 10 | matrix operations | | | Week 11 | inverses | | | Week 12 | Special matrices | | | Week 13 | Some properties belonging to special matrices | | | Week 14 | The concept of rank in matrix theory. | | | Week 15 | Linear transformations and matrices
| | | Week 16 | End-of-term exam | | | |
| 1 | B. Seymour Lipschutz, M. Lipson , 2001, Theory and problems of LINEAR ALGEBRA Linear Algebra, Schaum's outlıne series. | | | |
| 1 | A. Frank, 1962, Theory and Problems of Matrices, Schaum's outline series. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 20/11/2021 | 2 | 50 | | End-of-term exam | 16 | 10/01/2022 | 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 | 6 | 14 | 84 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 12 | 2 | 24 | | Arasınav | 2 | 1 | 2 | | Uygulama | 0 | 0 | 0 | | Klinik Uygulama | 0 | 0 | 0 | | Ödev | 0 | 0 | 0 | | Proje | 0 | 0 | 0 | | Kısa sınav | 0 | 0 | 0 | | Dönem sonu sınavı için hazırlık | 14 | 1 | 14 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 0 | 0 | 0 | | Diğer 2 | 0 | 0 | 0 | | Total work load | | | 182 |
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