MATZ209 Linear Algebra I

3 ECTS - 3-0 Duration (T+A)- 3. Semester- 3 National Credit

Information

Code MATZ209
Name Linear Algebra I
Term 2024-2025 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 Belirsiz
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. AYTEN PINAR BAL
Course Instructor Doç. Dr. DİLEK KAHYALAR (A Group) (Ins. in Charge)


Course Goal / Objective

To provide students with an understanding of basic linear algebra concepts and processes. To help students to apply the concepts and processes related to the subject to problem situations and to help the formation of knowledge that will enable them to use solution methods effectively.

Course Content

In this course, matrices and basic operations on matrices are discussed. Special types of matrices, elementary operations, isomial matrices and elementary matrices will be emphasized, and the inverse and rank of a matrix will be analyzed. In addition, the concept of determinant and the basic properties of the determinant function will be detailed. Systems of linear equations will be introduced and solution methods of these systems will be discussed with practical examples.

Course Precondition

None

Resources

Kolman, B.(1995). Applied Linear Algebra, Palmey Publishing.

Notes

Related digital resources


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Explain the properties of algebra of matrices.
LO02 Performs addition and multiplication operations related to matrices.
LO03 Knows the methods of finding the inverse matrix of a matrix.
LO04 Solve systems of linear equations using matrices and determinants.
LO05 Understands the relationship between matrices and systems of linear equations
LO06 Solve systems of linear equations using different methods.
LO07 Know the 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.
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 Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
2 Operations on matrices Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
3 Echelon matrix Examination of related resources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
4 Determinants Examination of related resources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
5 Determinants 2 Examination of related resources Öğretim Yöntemleri:
Anlatım, Tartışma, Alıştırma ve Uygulama, Gösterip Yaptırma
6 Elementary matrices and inverse of a matrix Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
7 Rank of a matrix Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
8 Mid-Term Exam exam preparation Ölçme Yöntemleri:
Yazılı Sınav
9 Systems of linear equations Examination of related resources Öğretim Yöntemleri:
Anlatım, Tartışma, Alıştırma ve Uygulama, Gösterip Yaptırma
10 Methods for solving systems of linear equations (Gaussian elimination, Gauss-Jordan reduction) Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
11 Methods for solving systems of linear equations (Gaussian elimination, Gauss-Jordan reduction) 2 Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
12 Method of solving linear equation using inverse matrix Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
13 Methods of solving systems of linear equations (Inverse matrix and Cramer method) Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
14 General review and question solution Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
15 General review and question solution 2 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


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

Update Time: 14.11.2024 07:55