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Information
| Code | MATZ203 |
| Name | Linear Algebra 1 |
| Term | 2023-2024 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | FE Field Education Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. KAMURAN TARIM |
| Course Instructor |
Doç. Dr. LEYLA BUGAY
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To develop the understanding of students about the concept and process of the linear algebra. At the end of this course students will attain the required knowledge of the linear algebra and solve the problems.
Course Content
Matrices, operations in matrices, special types of matrices; elementary operations, echelon matrix, elementary matrices and inverse of a matrix, rank of a matrix; determinant, properties of determinant function; systems of linear equations, methods of solving systems of linear equations
Course Precondition
none
Resources
Kolman, B.(1995). Uygulamalı Lineer Cebir, Palmeyayıncılık.
Notes
Related digital resources
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explain the properties of matrices algebra. |
| LO02 | Makes addition, multiplication processes related to matrices. |
| LO03 | Knows methods of finding the inverse matrix of a matrix. |
| LO04 | Solves linear systems of equations using matrices and determinants. |
| LO05 | Understands the relationship between matrices and systems of linear equations. |
| LO06 | Solves linear systems of equations using different methods |
| LO07 | Know the relations between matrix rank, determinant and reversibility. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has pedagogical knowledge about teaching profession and field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Implements classroom management approaches to be used in educational environments effectively. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Uses Turkish properly and effectively according to the rules. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Selects and designs appropriate materials, in mathematics teaching. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Monitors students' progress using different assessment and evaluation methods and techniques. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | 1 |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and other related materials for an effective mathematics teaching. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has enough foreign language knowledge to follow foreign resources related to the field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a teacher who adheres to Atatürk's principles and revolutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Matrices and matrix types | Examining the related sources | |
| 2 | Operations in matrices | Examining the related sources | |
| 3 | Echelon matrix | Examining the related sources | |
| 4 | Determinants | Examining the related sources | |
| 5 | Determinants 2 | Examining the related sources | |
| 6 | Elementary matrices and inverse of a matrix | Examining the related sources | |
| 7 | Rank of a matrix | Examining the related sources | |
| 8 | Mid-Term Exam | preperation exam | |
| 9 | Linear equation systems | Examining the related sources | |
| 10 | Solving systems of linear equations (Gauss elimination, Gauss-Jordan reduction) | Examining the related sources | |
| 11 | Solving systems of linear equations (Gauss elimination, Gauss-Jordan reduction) 2 | Examining the related sources | |
| 12 | Solving linear equation using inverse matrix | Examining the related sources | |
| 13 | Solving systems of linear equations (Inverse matrix and Cramer method) | Examining the related sources | |
| 14 | General review and question solution | Examining the related sources | |
| 15 | General review and question solution 2 | Examining the related sources | |
| 16 | Term Exams | preperation the exam | |
| 17 | Term Exams | preperation the exam |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||