Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
LINEAR ALGEBRA I IME 203 3 3 + 1 4 5
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Prof.Dr. MELEK MASAL Dersi Verenler Prof.Dr. MELEK MASAL Dersin Yardımcıları Assist.Emine Nur BILGIC Dersin Kategorisi Alanına Uygun Temel Öğretim Dersin Amacı To show application fields of mathematics by getting mathematics easier and pleasurable by means of this course which contain basic equipment in mathematics and engineer and most important concepts of mathematical language Dersin İçeriği Vectors in R^2 and R^3, m x n matrices; addition and scaler product in matrices space, linear independence in matrice space, introduction to concept of vector space. Linear equation systems, Gauss elimination, subspaces. Linear independence and dimension. Linear transformations, relationship between linear transformations and matrices, matrices product, inverse of matrices and applications.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Explain matrixes and linear equations systems 1 - 4 - A - 2 - Express solution of linear equation systems by the help of elemanter operations and solve with this method 1 - 4 - A - 3 - Express solution of linear equation systems by the help of Gauss – Jordan Elimination Method and solve with this method 1 - 4 - A - 4 - Express concept of linear independence, linear dependance, basis, dimension and apply their applications 1 - 4 - A - 5 - Express and apply isomorphism and do applications 1 - 4 - A - 6 - Express and apply rank of a matrix and do applications 1 - 4 - A -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice Ölçme Yöntemleri: A:Testing

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Short definition of group, ring, field
2 Matrixes, addition and scaler product in matrix space, matrix product and applications
3 Square matrix, inverse of a matrix, tranposition of a matrix, some special matrix and exercises
4 Echolon form of a matrix, elemanter operations, elemanter matrixes, theorem of factorisation
5 Matrix and linear equations system, solution of linear equation systems by the help of elemanter operations
6 Gauss – Jordan Elimination Method and exercises
7 Vectors on R^2 and R^3, vector spaces, subspaces, trivial space, proper subsapace
8 Linear independence, linear dependance, basis, dimension, applications
9 Mid – Term Exam
10 Theorem of basis complementation, quotient spaces
11 Direct sum
12 Isomorphisms and exercises
13 Rank of a matrix and related exercises
14 Application of rank ( solutions of linear equation systems )

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour X
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
Odev 1 10
KisaSinav 2 15
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 5 5
Quiz 3 5 15
Assignment 0 0 0
Final examination 1 5 5
Toplam İş Yükü 121
Toplam İş Yükü /25(s) 4.84
Dersin AKTS Kredisi 4.84
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