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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | MAT115 |
| Name | Linear Algebra |
| Term | 2026-2027 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi İsmet BİRBİÇER |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
The aim of this course to give insight and skill about the concrete aspects of linear algebra.
Course Content
The content of this course is matrices and the systems of homogeneous linear equations , understand the relation between matrices and linear transformation, determine eigenvalue and eigenvector and find similar matrices.
Course Precondition
None.
Resources
Bernard Kolman, David R. Hill, Lineer Cebir (Translation) Palme Yayıncılık,2000.
Notes
Arif Sabuncuoğlu, Lineer Cebir, Nobel yayın dağıtım,2000.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognizes matrices and perform matrix operations. |
| LO02 | Bring the matrices to echelon form through Gauss elimination and Gauss-Jordan reduction. |
| LO03 | Find the inverses of matrices and use them in solving the systems. |
| LO04 | Calculate determinants. |
| LO05 | Solve the systems using Cramer s rule. |
| LO06 | Understands linear transformation and their properties. |
| LO07 | Write a matrix form for a linear transformation. |
| LO08 | Determine eigenvalue and related eigenvector. |
| LO09 | Write linear span space. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the essence fundamentals and concepts in the field of Statistics | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Emphasize the importance of Statistics in life | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Define basic principles and concepts in the field of Law and Economics | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Produce numeric and statistical solutions in order to overcome the problems | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Use proper methods and techniques to gather and/or to arrange the data | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Utilize computer programs and builds models, solves problems, does analyses and comments about problems concerning randomization | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Apply the statistical analyze methods | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Make statistical inference (estimation, hypothesis tests etc.) | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Generate solutions for the problems in other disciplines by using statistical techniques and gain insight | 1 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Discover the visual, database and web programming techniques and posses the ability of writing programs | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Distinguish the difference between the statistical methods | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Make oral and visual presentation for the results of statistical methods | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have capability on effective and productive work in a group and individually | |
| PLO14 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs | 2 |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Develop scientific and ethical values in the fields of statistics-and scientific data collection |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | System of linear equations | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 2 | Matrices and operations on matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Properties of matrix operations and special types of matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Row-Reduced Echelon Matrices and Elementary matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 5 | Gauss elimination and Gauss-Jordan reduction | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 6 | Finding inverses of matrices using elementary operations and solving systems | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 7 | Determinant function and properties | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Using determinant for solving Cramer systems. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 10 | Linear span | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 11 | Linear dependence and independence | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 12 | Linear transformations | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 13 | Matrices of linear transformations | Review of the relevant pages from sources | Öğretim Yöntemleri: Alıştırma ve Uygulama, Anlatım |
| 14 | Eigenvalues and eigenvectors | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 15 | Diagonalization and similar matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the topics discussed in the lecture notes and sources | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||