COMPUTER ENGINEERING
Qualification Awarded Program Süresi Toplam Kredi (AKTS) Öğretim Şekli Yeterliliğin Düzeyi ve Öğrenme Alanı
4 240 FULL TIME TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6
QF-EHEA:First Cycle
TR-NQF-HE, ISCED (1997-2013): 48,52

Ders Genel Tanıtım Bilgileri

Course Code: 1410121010
Ders İsmi: Linear Algebra
Ders Yarıyılı: Spring
Ders Kredileri:
Theoretical Practical Labs Credit ECTS
2 0 0 2 5
Language of instruction: TR
Ders Koşulu:
Ders İş Deneyimini Gerektiriyor mu?: No
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) Vectors and linear combinations. Introduction to matrices. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
2) Linear equations. Elimination. Matrix algebra. Inverse matrix. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
3) Inverse matrix (cont.). LU Decomposition. Permutation matrices. 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) Independence, basis and dimension. The four fundamental subspaces. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
6) The four fundamental subspaces (cont.). G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
7) Ortogonality. Review G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
8) Midterm 1
9) Projections. Least squares. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
11) Determinants. Cofactors. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
12) Cramer's Rule. Midterm 2 G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
13) Eigenvalues. Eigenvectors. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
14) Diagonalization. Application to difference equations. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.
15) Application to difference equations (cont.). Symmetric matrices. Positive definite matrices. G. Strang, Introduction to Linear Algebra, 5th Edition, Wellesley Cambridge, 2016, ISBN : 978-09802327-7-6.

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) 1.1 Sufficient knowledge of subjects such as mathematics and science
2) 1.2 Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems.
3) 1.3 Ability to use theoretical and applied knowledge in fields such as mathematics and science in complex engineering problems.
4) 2.1 Ability to identify, define, formulate and solve complex engineering problems
5) 2.2 Ability to select and apply appropriate analysis and modeling methods for this purpose
6) 3.1 Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions
7) 3.2 Ability to apply modern design methods for this purpose
8) 4.1 Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
9) 4.2 Ability to use information technologies effectively
10) 5.1 Ability to design experiments to examine complex engineering problems or discipline-specific research issues
11) 5.2 Ability to conduct experiments to examine complex engineering problems or discipline-specific research topics
12) 5.3 Ability to collect data to examine complex engineering problems or discipline-specific research topics
13) 5.4 Ability to analyze and interpret experimental results for the study of complex engineering problems or discipline-specific research issues
14) 6.1 Ability to work individually within the discipline
15) 6.2 Ability to work effectively in interdisciplinary teams
16) 6.3 Ability to work effectively in multidisciplinary teams
17) 7.1 Ability to communicate effectively and make presentations both verbally and in Turkish
18) 7.2 Knowledge of at least one foreign language
19) 7.3 Ability to write effective reports and understand written reports
20) 7.4 Ability to prepare design and production reports
21) 7.5 Ability to give and receive clear and understandable instructions
22) 8.1 Awareness of the necessity of lifelong learning
23) 8.2 The ability to access information, follow developments in science and technology and constantly renew oneself
24) 9.1 Acting in accordance with ethical principles, awareness of professional and ethical responsibility
25) 9.2 Information about standards used in engineering applications
26) 10.1 Knowledge of business practices such as project management, risk management and change management
27) 10.2 Awareness about entrepreneurship, innovation
28) 10.3 Information about sustainable development
29) 11.1 Information about the effects of engineering practices on health, environment and security at universal and social dimensions and the problems of the age reflected in the field of engineering
30) 11.2 Awareness of the legal consequences of engineering solutions
31) 12.1 Having knowledge about discrete mathematics

Ders - Öğrenme Kazanımı İlişkisi

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) 1.1 Sufficient knowledge of subjects such as mathematics and science
2) 1.2 Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems.
3) 1.3 Ability to use theoretical and applied knowledge in fields such as mathematics and science in complex engineering problems.
4) 2.1 Ability to identify, define, formulate and solve complex engineering problems 3
5) 2.2 Ability to select and apply appropriate analysis and modeling methods for this purpose
6) 3.1 Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions
7) 3.2 Ability to apply modern design methods for this purpose
8) 4.1 Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
9) 4.2 Ability to use information technologies effectively
10) 5.1 Ability to design experiments to examine complex engineering problems or discipline-specific research issues
11) 5.2 Ability to conduct experiments to examine complex engineering problems or discipline-specific research topics
12) 5.3 Ability to collect data to examine complex engineering problems or discipline-specific research topics
13) 5.4 Ability to analyze and interpret experimental results for the study of complex engineering problems or discipline-specific research issues
14) 6.1 Ability to work individually within the discipline
15) 6.2 Ability to work effectively in interdisciplinary teams
16) 6.3 Ability to work effectively in multidisciplinary teams
17) 7.1 Ability to communicate effectively and make presentations both verbally and in Turkish
18) 7.2 Knowledge of at least one foreign language
19) 7.3 Ability to write effective reports and understand written reports
20) 7.4 Ability to prepare design and production reports
21) 7.5 Ability to give and receive clear and understandable instructions
22) 8.1 Awareness of the necessity of lifelong learning
23) 8.2 The ability to access information, follow developments in science and technology and constantly renew oneself
24) 9.1 Acting in accordance with ethical principles, awareness of professional and ethical responsibility
25) 9.2 Information about standards used in engineering applications
26) 10.1 Knowledge of business practices such as project management, risk management and change management
27) 10.2 Awareness about entrepreneurship, innovation
28) 10.3 Information about sustainable development
29) 11.1 Information about the effects of engineering practices on health, environment and security at universal and social dimensions and the problems of the age reflected in the field of engineering
30) 11.2 Awareness of the legal consequences of engineering solutions
31) 12.1 Having knowledge about discrete mathematics

Öğrenme Etkinliği ve Öğretme Yöntemleri

Bireysel çalışma ve ödevi
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