DEPARTMENT OF INDUSTRIAL ENGINEERING (ENGLISH)
Qualification Awarded	Program Süresi	Toplam Kredi (AKTS)	Öğretim Şekli	Yeterliliğin Düzeyi ve Öğrenme Alanı
Bachelor's (First Cycle) Degree	4	240	FULL TIME	TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TR-NQF-HE, ISCED (1997-2013): 44,52

Ders Genel Tanıtım Bilgileri

Course Code:

1400121010

Ders İsmi:

Linear Algebra

Ders Yarıyılı:

Spring

Ders Kredileri:

Theoretical	Practical	Labs	Credit	ECTS
2	0	0	2	5

Language of instruction:

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Other Recommended Topics for the Course:

Type of course:

Necessary

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Dr.Öğr.Üyesi Recep DURANAY

Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:	To introduce students the theory of systems of linear equations and a few methods of solutions.
Course Content:	Vectors and linear combinations Solving linear equations Vector spaces, subspaces Ortogonality Determinants Eigenvalues and eigenvectors

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
1) To be able to perform matrix operations (addition, subtraction, multiplication). Calculate the determinant of a given matrix.
2) To be able to apply many basic techniques of Matrix algebra, such as solving systems of linear equations using the Gauss Method and finding the inverse of an invertible matrix using the Gauss-Jordan Method.
3 - Competences
Communication and Social Competence
Learning Competence
1) To be able to understand the basics of vector algebra such as linear dependence and independence and vector spaces and sub-vector spaces.
2) To be able to calculate the inverse and nth power of a square matrix using the Cayley-Hamilton theorem.
Field Specific Competence
Competence to Work Independently and Take Responsibility
1) To be able to find the eigenvalues and eigenvectors of a square matrix using the characteristic polynomial.

Ders Akış Planı

Week	Subject	Related Preparation
1)	Matrices, Operations on Matrices	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
2)	Elemantart Operations, Elemantary matrices	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
3)	Determinant function and properties of determinant	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
4)	Systems of linear equation	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
4)	Vector spaces. Subspaces. Nullspace. Complete solution.	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
5)	Systems of homogeneous linear equation	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
6)	LU decompositions	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
7)	Vector Spaces	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
8)	Midterm
9)	The subspaces spanned by a set, linear combination of a set	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
10)	Linearly indepedence , basis, dimension	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
11)	Linear Transformation	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
12)	Linear Transformation Matrix and changing basis	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
13)	Eigenvalues and eigenspaces	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
14)	Eigenvalues and eigenspaces, diagonalization	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
15)	diagonalization, characteristic polynomials	G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
16)	Final

Sources

Course Notes / Textbooks:	Textbook: G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
References:	Textbook: G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3	5	4
Program Outcomes
1) Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.
2) Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3) Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4) Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5) Engineering Design: Ability to design creative solutions to complex engineering problems.
6) Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7) Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8) Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9) Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10) Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.
11) Research and Investigation: Ability to collect data to investigate complex engineering problems.
12) Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.
13) Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14) Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable
15) Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.
16) Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17) Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18) Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19) Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20) Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21) Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22) Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23) Project Management: Awareness of entrepreneurship and innovation.
24) Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.	5
2)	Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3)	Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4)	Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5)	Engineering Design: Ability to design creative solutions to complex engineering problems.
6)	Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7)	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8)	Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9)	Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10)	Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.	5
11)	Research and Investigation: Ability to collect data to investigate complex engineering problems.
12)	Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.
13)	Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14)	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable
15)	Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.	3
16)	Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17)	Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18)	Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19)	Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20)	Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21)	Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22)	Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23)	Project Management: Awareness of entrepreneurship and innovation.
24)	Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

Öğrenme Etkinliği ve Öğretme Yöntemleri

Course
Homework
Problem Çözme

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	2	% 60
Semester Final Exam	1	% 40
total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	2	28
Study Hours Out of Class	14	8	112
Midterms	2	4	8
Final	1	3	3
Total Workload			151