Computer Engineering (English)
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code:

ENG205

Ders İsmi:

Linear Algebra

Ders Yarıyılı:

Fall

Ders Kredileri:

Theoretical	Practical	Laboratory	ECTS
4	0	0	7

Language of instruction:

English

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Type of course:

Required

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 :

Assoc. Prof. Dr. MERVE ERSOY

Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:

To learn the basics of Linear Algebra and to use this knowledge in solving engineering problems.

Course Content:

In this course, the general concepts of linear algebra are examined under the following topics: Systems of linear equations and matrices, Gaussian elimination method, matrix algebra, inverse of a matrix, elementary matrices, LU decomposition, determinant of a square matrix, properties of determinant, Cramer's rule, vector spaces, sub-spaces. spaces, linear independence, basis and dimension, base change, inner product spaces, orthonormal basis, linear transformations, matrix representation of linear transformation, eigenvalues and eigenvectors, diagonalization.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
1) Solve systems of linear equations using Gaussian elimination;
2) Calculates the determinant of a matrix and solves systems of linear equations using Cramer's rule;
3) Understands linear transformations and calculates matrix representations;
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
1) Calculates the eigenvalues and corresponding eigenvectors of a matrix.
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Matrices and systems of linear equations	Lecture Notes
2)	Matrisler ve lineer denklem sistemleri	Lecture Notes
3)	Matrices and systems of linear equations	Lecture Notes
4)	Matrices and systems of linear equations	Lecture Notes
5)	Determinants	Lecture Notes
6)	Determinants	Lecture Notes
7)	Vector spaces	Lecture Notes
8)	Mid term	Lecture Notes
9)	Vector spaces	Lecture Notes
10)	Inner product spaces	Lecture Notes
11)	Linear transformations	Lecture Notes
12)	Linear transformations	Lecture Notes
13)	Eigenvalues and eigenvectors	Lecture Notes
14)	Eigenvalues and eigenvectors	Lecture Notes
15)	Final	Lecture Notes

Sources

Course Notes / Textbooks:	Linear Algebra and Its Applications, 5th edition/Global edition, David C. Lay et al., Pearson, 2016. Elementary Linear Algebra, Cengage Learning, 7th or 8th edition, Ron Larson, (e-book or hardcopy).
References:	1. Linear Algebra By MIT Open Courseware 2. Coding The Matrix By Philip Klein 3. Linear Algebra for Machine Learning By Applied AI Course 4. Deep Learning Book By Ian Goodfellow and Yoshua Bengio and Aaron Courville 5. Computational Linear Algebra for Coders By fast.ai 6. Basic Linear Algebra for Deep Learning By Niklas Donges 7. Linear Algebra By Khan Academy

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	4	5
Program Outcomes
1) Sufficient knowledge in mathematics and science; the ability to use theoretical and applied knowledge in these areas.
2) Sufficient knowledge of the subjects specific to the relevant engineering discipline; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems.
3) Ability to identify, formulate and solve complex engineering problems.
4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems.
5) The ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions.
6) Ability to apply modern design methods to design a complex system, process, device or product.
7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10) Ability to collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics.
11) Ability to work effectively in interdisciplinary teams.
12) Ability to work effectively in multi-disciplinary teams.
13) Ability to work individually.
14) Ability to communicate effectively verbally and in writing.
15) Knowledge of at least one foreign language.
16) Ability to write effective reports, understand written reports, and prepare design and production reports.
17) Ability to make effective presentations and to give and receive clear and understandable instructions.
18) Awareness of the necessity of lifelong learning.
19) The ability to access information, follow developments in science and technology, and constantly renew oneself.
20) Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice.
21) Knowledge of business practices such as project management, risk management and change management.
22) Awareness about entrepreneurship and innovation.
23) Information about sustainable development.
24) Knowledge of the universal and societal effects of engineering practices on health, environment and safety, and contemporary issues reflected in the field of engineering.
25) Awareness of the legal implications of engineering solutions.

Ders - Öğrenme Kazanımı İlişkisi

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

	Program Outcomes	Level of Contribution
1)	Sufficient knowledge in mathematics and science; the ability to use theoretical and applied knowledge in these areas.	5
2)	Sufficient knowledge of the subjects specific to the relevant engineering discipline; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems.	4
3)	Ability to identify, formulate and solve complex engineering problems.	5
4)	Ability to select and apply appropriate analysis and modeling methods to complex engineering problems.	4
5)	The ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions.
6)	Ability to apply modern design methods to design a complex system, process, device or product.
7)	Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8)	Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9)	Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10)	Ability to collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics.
11)	Ability to work effectively in interdisciplinary teams.
12)	Ability to work effectively in multi-disciplinary teams.
13)	Ability to work individually.
14)	Ability to communicate effectively verbally and in writing.
15)	Knowledge of at least one foreign language.
16)	Ability to write effective reports, understand written reports, and prepare design and production reports.
17)	Ability to make effective presentations and to give and receive clear and understandable instructions.
18)	Awareness of the necessity of lifelong learning.
19)	The ability to access information, follow developments in science and technology, and constantly renew oneself.
20)	Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice.
21)	Knowledge of business practices such as project management, risk management and change management.
22)	Awareness about entrepreneurship and innovation.
23)	Information about sustainable development.
24)	Knowledge of the universal and societal effects of engineering practices on health, environment and safety, and contemporary issues reflected in the field of engineering.
25)	Awareness of the legal implications of engineering solutions.

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	1	% 50
Final	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100