LINEAR ALGEBRA DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MTH104	LINEAR ALGEBRA	2	3	3	5

DERS BİLGİLERİ
Dersin Öğretim Dili :	İngilizce
Dersin Düzeyi	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Dersin Türü	Zorunlu
Dersin Veriliş Şekli	-
Dersin Koordinatörü	Assist.Prof. OĞUZHAN ÖZTAŞ
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.)
Explains the basic information about vectors.(Knowledge, Blooms' 1)
Solves various technical problems in the framework of vectors.(Apply, Blooms' 3)
Explains the basic information about inner product spaces and solves various problems. (Knowledge, Blooms' 1)
Explains matrices and uses elementary operations.(Knowledge, Blooms' 1)
Relates linear transformations to matrices.(Understand, Blooms' 2)
Recognizes determinants and make their calculations.(Knowledge, Blooms' 1)
Solves linear systems by using matrices and determinants.(Apply, Blooms' 3)

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

KAYNAKLAR
Arif Sabunc uoğluLineer Cebir

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	Explains the fundamental engineering concepts of computer science and relates them to the groundwork of computer science.

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from mathematics, probability, statistics and various other branches of life sciences, to find solutions to engineering problems.

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Determines the components and the underlying process of a system and designs an appropriate computational model under reasonable constraints.
2	Designs a computer-aided conceptual model with modern techniques.

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Determines, detects and analyzes the areas of computer science applications and develops appropriate solutions.
2	Identifies, models and solves computer engineering problems by applying appropriate analytical methods.
3	Determines and uses the necessary information technologies in an efficient way for engineering applications.

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
2	Possess the ability to conduct effective individual study.
3	Takes responsibility as a team work and contributes in an effective way.

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	3	42
Preliminary & Further Study	14	1	14
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	0	0	0
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	2	2
Preparation for the Final Exam	1	35	35
Mid-Term Exam	1	2	2
Preparation for the Mid-Term Exam	1	30	30
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	32	0	125