This course aims for students to solve systems of linear equations, perform elementary row operations, analyze the geometric interpretation of linear systems of equations, and conduct operations in matrix space.
Course Content
This course contains; Linear equation systems and elementary row operations,Echelon matrix, row matrix and row reduced matrix,Homogeneous and inhomogeneous systems of linear equations and their solution methods,Geometric interpretation of systems of linear equations,Matrices, addition, scalar multiplication and multiplication operations in matrix space,Matrix types and properties,Power of matrices, block matrices,Finding the inverse of matrices,Matrix applications,Matrices and systems of linear equations,Determinant of matrices, properties of determinant,Applications of determinant,Systems of linear equations and determinant relationship,Systems of linear equations and Cramer's method.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
Performs defined operations on matrices.
12, 9
A
Applies elementary row and column operations on a matrix.
12, 9
A
Explains the relationship between linear equation systems and the coefficients matrix of the system.
12, 9
A
Solves systems of equations using Gaussian elimination and Gauss-Jordan methods.
12, 9
A
Calculates the determinant of a matrix.
12, 9
A
Explains the relationship between the system of equations and the determinate.
12, 9
A
Teaching Methods:
12: Problem Solving Method, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam
Course Outline
Order
Subjects
Preliminary Work
1
Linear equation systems and elementary row operations
[1], [2]
2
Echelon matrix, row matrix and row reduced matrix
[1], [2]
3
Homogeneous and inhomogeneous systems of linear equations and their solution methods
[1], [2]
4
Geometric interpretation of systems of linear equations
[1], [2]
5
Matrices, addition, scalar multiplication and multiplication operations in matrix space
[1], [2]
6
Matrix types and properties
[1], [2]
7
Power of matrices, block matrices
[1], [2]
8
Finding the inverse of matrices
[1], [2]
9
Matrix applications
[1], [2]
10
Matrices and systems of linear equations
[1], [2]
11
Determinant of matrices, properties of determinant
[1], [2]
12
Applications of determinant
[1], [2]
13
Systems of linear equations and determinant relationship
[1], [2]
14
Systems of linear equations and Cramer's method
[1], [2]
Resources
[1] Anton, H., & Rorres, C. Elementer Lineer Cebir. Palme Yayıncılık. (Last Edition)
[2] Lipschutz, S. Lineer Cebir/Schaum's Outlines. Nobel Yayin Dağıtım-Teknik Kitaplar. (Last Edition)
[3] Kolman, B., & Hill D. R. Uygulamalı Lineer Cebir. Ed.: Ömer Akın. Palme Yayıncılık. (Last Edition)
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
X
2
In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.
X
3
A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
X
4
Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.
X
5
In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments.
X
6
He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
X
Assessment Methods
Contribution Level
Absolute Evaluation
Rate of Midterm Exam to Success
40
Rate of Final Exam to Success
60
Total
100
ECTS / Workload Table
Activities
Number of
Duration(Hour)
Total Workload(Hour)
Course Hours
14
2
28
Guided Problem Solving
0
0
0
Resolution of Homework Problems and Submission as a Report
14
2
28
Term Project
0
0
0
Presentation of Project / Seminar
0
0
0
Quiz
0
0
0
Midterm Exam
1
10
10
General Exam
1
20
20
Performance Task, Maintenance Plan
0
0
0
Total Workload(Hour)
86
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(86/30)
3
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.
Detail Informations of the Course
Course Description
Course
Code
Semester
T+P (Hour)
Credit
ECTS
LINEAR ALGEBRA I
-
Fall Semester
2+0
2
3
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of Course
Turkish
Course Level
First Cycle (Bachelor's Degree)
Course Type
Required
Course Coordinator
Assist.Prof. Damla SÖNMEZ
Name of Lecturer(s)
Assist.Prof. Alaattin PUSMAZ
Assistant(s)
Aim
This course aims for students to solve systems of linear equations, perform elementary row operations, analyze the geometric interpretation of linear systems of equations, and conduct operations in matrix space.
Course Content
This course contains; Linear equation systems and elementary row operations,Echelon matrix, row matrix and row reduced matrix,Homogeneous and inhomogeneous systems of linear equations and their solution methods,Geometric interpretation of systems of linear equations,Matrices, addition, scalar multiplication and multiplication operations in matrix space,Matrix types and properties,Power of matrices, block matrices,Finding the inverse of matrices,Matrix applications,Matrices and systems of linear equations,Determinant of matrices, properties of determinant,Applications of determinant,Systems of linear equations and determinant relationship,Systems of linear equations and Cramer's method.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
Performs defined operations on matrices.
12, 9
A
Applies elementary row and column operations on a matrix.
12, 9
A
Explains the relationship between linear equation systems and the coefficients matrix of the system.
12, 9
A
Solves systems of equations using Gaussian elimination and Gauss-Jordan methods.
12, 9
A
Calculates the determinant of a matrix.
12, 9
A
Explains the relationship between the system of equations and the determinate.
12, 9
A
Teaching Methods:
12: Problem Solving Method, 9: Lecture Method
Assessment Methods:
A: Traditional Written Exam
Course Outline
Order
Subjects
Preliminary Work
1
Linear equation systems and elementary row operations
[1], [2]
2
Echelon matrix, row matrix and row reduced matrix
[1], [2]
3
Homogeneous and inhomogeneous systems of linear equations and their solution methods
[1], [2]
4
Geometric interpretation of systems of linear equations
[1], [2]
5
Matrices, addition, scalar multiplication and multiplication operations in matrix space
[1], [2]
6
Matrix types and properties
[1], [2]
7
Power of matrices, block matrices
[1], [2]
8
Finding the inverse of matrices
[1], [2]
9
Matrix applications
[1], [2]
10
Matrices and systems of linear equations
[1], [2]
11
Determinant of matrices, properties of determinant
[1], [2]
12
Applications of determinant
[1], [2]
13
Systems of linear equations and determinant relationship
[1], [2]
14
Systems of linear equations and Cramer's method
[1], [2]
Resources
[1] Anton, H., & Rorres, C. Elementer Lineer Cebir. Palme Yayıncılık. (Last Edition)
[2] Lipschutz, S. Lineer Cebir/Schaum's Outlines. Nobel Yayin Dağıtım-Teknik Kitaplar. (Last Edition)
[3] Kolman, B., & Hill D. R. Uygulamalı Lineer Cebir. Ed.: Ömer Akın. Palme Yayıncılık. (Last Edition)
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
X
2
In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.
X
3
A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
X
4
Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.
X
5
In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments.
X
6
He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
