LİNEER CEBİR DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT104	LİNEER CEBİR	3	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. TARIK ÇAKAR
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi	Dr.Öğr.Üyesi NESLİHAN ÖZDEMİR
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	Gain sufficient knowledge in Mathematics, Science and Industrial Engineering.					4

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Analyzes and evaluates existing application areas in the field of Industrial Engineering and develops applications for their solutions.					4

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Analyzes a system, the components of that system, the process of that system, and designs the system by examining it in line with realistic constraints and goals.					4
2	Gains the ability to model and solve engineering problems.			2

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Identifies the problems that may be encountered in the field of industrial engineering and acquires the ability to choose and apply the appropriate method to be used in problem solving.			2
2	Selects and uses technical tools necessary for industrial engineering applications; uses information technologies effectively.				3
3	Designs experiments, conducts experiments, collects data, analyzes and interprets the results to examine problems in the field of industrial engineering.				3

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Gains the ability to work effectively within a team.					4
2	Works effectively individually and takes responsibility.					4

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Accesses the necessary information for a determined problem and searches for resources for this purpose.						5
2	Has the ability to follow all developments in the field of industrial engineering and constantly renew itself.					4

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Gains oral and written communication skills and speaks at least one foreign language.					4

OCCUPATIONAL
Occupational and/or Vocational
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Has awareness of professional and ethical responsibility.				3
2	Has knowledge about the universal and social effects of industrial engineering applications and reaches solutions by being aware of the importance of an innovative approach in solving engineering problems.			2

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