COURSE SYLLABUS

LINEEAR ALGEBRA I

1	Course Title:	LINEEAR ALGEBRA I
2	Course Code:	MAT0503
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
7	ECTS Credits Allocated:	4
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	-
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Doç. Dr. Atilla Akpınar
16	Course Lecturers:	Prof.Dr. Basri ÇELİK Prof.Dr. Esen İYİGÜN
17	Contactinformation of the Course Coordinator:	E-posta: aakpinar@uludag.edu.tr Telefon: +90 224 2941774 Adres: Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
18	Website:
19	Objective of the Course:	The primary objective of this course is to introduce algebraic structures as group, ring, field and so to understand the concept of vector space, which is constructed over these structures, with basic properties and applications.
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	knows the concepts of group, ring, field;
2	gives an understanding of the algebra of finite-dimensional vector spaces as a basis for further study of abstract algebra ;
3	acquires an understanding of some fundamental ideas of linear algebra, including vectors, vector spaces, linear independence, bases, dimension and linear transformations, especially in the case of Rn and Cn;
4	knows sub-vector spaces;
5	learns real and complex inner product. ;
6	knows the concepts of linear independence, basis and dimension.;
7	uses the Gram-Schmidt algorithm to orthonormalize a set of vectors.;

22	Course Content:

Week	Theoretical	Practical
1	Groups
2	Fields and subfields
3	The definition of vector spaces and their examples
4	Standart vector spaces R^(n) and C^(n)
5	Subvector spaces
6	The properties of vector spaces R^(n)
7	Midterm exam and evaluation of midterm exam, repeat of previous subjects
8	Linear independent, the method of orthogonality
9	The properties about basis of vector spaces, dimensions of subspaces
10	Space of direct sums and subspaces of inner product spaces
11	Linear transformations in vector spaces and examples of linear transformation
12	Orthogonal projection and matrices
13	Linear transformations corresponding to matrices
14	Linear isomorphism, algebra of Hom(V,W)

23	Textbooks, References and/or Other Materials:	1) Lineer Cebir, H.Hilmi Hacısalihoğlu, Ankara, 1985 2) Uygulamalı Lineer Cebir, B.Kol-D.R.Hill (tercüme), Ankara, 2002 3) Linear Algebra, Serge Lang, Newyork, 1972 4) Elemantary Linear Algebra, Hartfiel.Hobbs, 1987, PWS Publisher
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course
Information

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High