LİNEER CEBİR DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT104	LİNEER CEBİR	4	3	3	5

DERS BİLGİLERİ
Dersin Öğretim Dili :	Türkçe
Dersin Düzeyi	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Dersin Türü	Zorunlu
Dersin Veriliş Şekli	-
Dersin Koordinatörü	Prof. HAMDİ ALPER ÖZYİĞİT
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi
Ders Ön Koşulu	Yok

AMAÇ VE İÇERİK
Amaç:	To define matrix operations such as addition, multiplication, inversion and to prove some of related properties; To teach to solve a system of linear equations by using matrices; To give the definitions of a vector space, subspace, base and dimension and to prove some of related theorems; And to give the defination of determinate founction and properties.
İçerik:	Matrices,matrix operation, Systems of linear equations and their solutions Vector spaces, subspaces, base and dimension, coordinate;

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
Known the basic information about vectors.
Solve various technical problems in the framework of vectors.
Known the basic information about inner product spaces and solves various problems
Known matrices and does elementary operations.
Perform linear transformations.
Recognize determinants and make their calculations.
Solves linear systems using matrices and determinants.

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
1	-	Group, Ring, Field, Vectors and Vector Spaces	-
2	-	Supspaces, Inner Product Spaces and Metric properties	-
3	-	Linear Independence, Basis, Dimension, Matrix Vector Spaces, Basis and Dimension of Matrices	-
4	-	Multiplication of Matrices, Transposition, Inverse Matrix, Special Matrices	-
5	-	Elementary Operations in Matrices and Their Applications	-
6	-	Trace and its properties, Coordinates and Transition matrix in vector spaces.	-
7	-	Linear transformations, Rank and kernel of linear transformation, Dimension theorem	-
8	-	MID-TERM EXAM	-
9	-	Relation between Linear transformations and matrices	-
10	-	Determinant function, Properties of a determinant function, Calculation of the determinant of a matrix	-
11	-	Adjoint matrix, Applications of determinant (linear independence, rank of matrix, cross product, mixed product)	-
12	-	Linear Equation Systems	-
13	-	Eigenvalues and eigenvectors of matrices, characteristic equation and polynomial,	-
14	-	Cayley Hamilton Theorem and Applications	-
15	-	FINAL EXAM	-
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

KAYNAKLAR
Lineer Cebir,Prof.Dr.Salim YÜCE, PEGEM AKADEMİ,2015,
Lineer Cebir, Prof.Dr.Nuri KURUOĞLU, 19 Mayıs Üniversitesi Yayınları, 1996.

ÖLÇME VE DEĞERLENDİRME
Yarıyıl İçi Yapılan Çalışmaların Ölçme ve Değerlendirmesi	Etkinlik Sayısı	Katkı Yüzdesi	Açıklama

(0) Etkisiz	(1) En Düşük	(2) Düşük	(3) Orta	(4) İyi	(5) Çok İyi
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Able to adopt math and science knowledge to the problems of Mechatronic Engineering.

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Can use the scientific methods to solve problems of Mechatronic Engineering.
2	Able to plan experiment, build hardware, collect data using modern devices and analyze data.

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Can define, scientize and solve the actual mechatronics problems.

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Use modern tools such as softwares in engineering design and analysis.

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Prone to work in interdisciplinary teams and be a team leadership.

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Able to find solutions that meet technical and economical expectations when designing a system with components.
2	Can approach with a global perspective to Mechatronics Engineering.
3	Able to keep up to date of self-awarness in the field.
4	Can follow academic and industrial developments related Mechatronics Engineering.

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Able to work in the field, interdisciplinary and multidisciplinary environments.
2	Have written and verbal communication skills in Turkish and English.

OCCUPATIONAL
Occupational and/or Vocational
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Have professional and ethical values and sensitive to these.
2	Sensitive to health and safety issues in Mechatronic Engineering.
3	Sensitive to social, environmental and economic factors in professional activities.

DERSİN İŞ YÜKÜ VE AKTS KREDİSİ
Öğrenme-Öğretme Etkinlikleri İş Yükü
Öğrenme-Öğretme Etkinlikleri	Etkinlik(hafta sayısı)	Süresi(saat sayısı)	Toplam İş Yükü
Lecture & In-Class Activities	14	2	28
Preliminary & Further Study	12	1	12
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	1	8	8
Project Work	0	0	0
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	0	0	0
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	1	1
Preparation for the Final Exam	1	15	15
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	12	12
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	31	0	77