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Information
| Code | MT111 |
| Name | Linear Algebra - I |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi ELA AYDIN |
Course Goal
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 , solve the systems using matrices, vector spaces and abstract mathematical concepts ,
Course Precondition
None.
Resources
Arif Sabuncuoğlu, Lineer Cebir, Nobel yayın dağıtım,2000.
Notes
Bernard Kolman, David R. Hill, Lineer Cebir ((Translation) Palme Yayıncılık Press,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 | Plot vectors on plane or in spacesand perform vector operations. |
| LO07 | Make use of basic concepts and terms of vector spaces. |
| LO08 | Write linear span space. |
| LO09 | Determine the linear dependence or independence of vectors. |
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 Probability, Statistics and Mathematics | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Emphasize the importance of Statistics in life | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Define basic principles and concepts in the field of Law and Economics | 2 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Produce numeric and statistical solutions in order to overcome the problems | 1 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Use proper methods and techniques to gather and/or to arrange the data | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Utilize computer systems and softwares | 1 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 1 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Apply the statistical analyze methods | 1 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Make statistical inference(estimation, hypothesis tests etc.) | 1 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Generate solutions for the problems in other disciplines by using statistical techniques | 1 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Discover the visual, database and web programming techniques and posses the ability of writing programme | 1 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Construct a model and analyze it by using statistical packages | 3 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Distinguish the difference between the statistical methods | 1 |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Be aware of the interaction between the disciplines related to statistics | 1 |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Make oral and visual presentation for the results of statistical methods | 4 |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have capability on effective and productive work in a group and individually | 3 |
| PLO17 | 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 | 3 |
| PLO18 | 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 |
| 3 | Properties of matrix operations and special types of matrices | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 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 |
| 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 |
| 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 | Vectors in the plane and space | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 11 | Vector spaces | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 12 | Subspaces | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 13 | Linear span | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 14 | Linear dependence and independence | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım |
| 15 | Solving problems, final exam | Review of the relevant pages from sources | Öğretim Yöntemleri: Problem Çözme |
| 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 | ||