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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATZ209 |
| Name | Linear Algebra I |
| Term | 2025-2026 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 3 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. AYTEN PINAR BAL |
| Course Instructor |
Dr. Öğr. Üyesi Emrah KORKMAZ
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The goal of this course is to provide students with a clear and understandable grasp of the fundamental concepts and methods of linear algebra.
Course Content
The topics included in this course are Systems of Linear Equations and Matrices, Determinants, Euclidean Vector Spaces, and General Vector Spaces.
Course Precondition
None
Resources
Howard Anton, Chris Rorres, Elementary Linear Algebra: Applications Version, 10th Edition.
Notes
Related digital resources
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explain the properties of algebra of matrices. |
| LO02 | Apply addition and multiplication operations on matrices |
| LO03 | Apply methods to find the inverse matrix of a matrix |
| LO04 | Solve systems of linear equations using matrices and determinants. |
| LO05 | Distinguishes the relationship between matrices and systems of linear equations. |
| LO06 | Solve systems of linear equations using different methods |
| LO07 | Distinguishes relationships between matrix order, determinant, and invertibility |
| LO08 | Analyzes relations between matrix rank, determinant, and invertibility |
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. | 2 |
| 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. | 2 |
| 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. | 3 |
| 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 | Introduction to Systems of Linear Equations and Gaussian Elimination Method | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 2 | Matrices and Matrix Operations, Inverses; Algebraic Properties of Matrices | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 3 | Elementary Matrices and Method for Finding A −1 | Examination of related resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 4 | More on Linear Systems and Invertible Matrices, Diagonal, Triangular, and Symmetric Matrices | Examination of related resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 5 | Determinants by Cofactor Expansion | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 6 | Evaluating Determinants by Row Reduction | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 7 | Properties of Determinants and Cramer’s Rule | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 8 | Mid-Term Exam | exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Vectors in 2-Space, 3-Space, and n-Space | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 10 | Norm, Dot Product, and Distance in Rⁿ | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 11 | Real Vector Spaces and Subspaces | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 12 | Linear Independence | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 13 | Coordinates and Basis | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 14 | Row space, Column space and Null space | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 15 | Rank, Nullity, and Fundamental Matrix Spaces | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma |
| 16 | Term Exams | exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | 1 | 14 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 12 | 12 |
| Total Workload (Hour) | 76 | ||
| Total Workload / 25 (h) | 3,04 | ||
| ECTS | 3 ECTS | ||