MATZ203 Linear Algebra 1

3 ECTS - 2-0 Duration (T+A)- 3. Semester- 2 National Credit

Information

Code MATZ203
Name Linear Algebra 1
Term 2022-2023 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
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 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
2 Operations in matrices Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
3 Echelon matrix Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
4 Determinants Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
5 Determinants 2 Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
6 Elementary matrices and inverse of a matrix Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
7 Rank of a matrix Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
8 Mid-Term Exam preperation exam Ölçme Yöntemleri:
Yazılı Sınav
9 Linear equation systems Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
10 Solving systems of linear equations (Gauss elimination, Gauss-Jordan reduction) Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
11 Solving systems of linear equations (Gauss elimination, Gauss-Jordan reduction) 2 Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
12 Solving linear equation using inverse matrix Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
13 Solving systems of linear equations (Inverse matrix and Cramer method) Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
14 General review and question solution Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
15 General review and question solution 2 Examining the related sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
16 Term Exams preperation the exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams preperation the exam 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: 24.11.2022 04:54