COURSE SYLLABUS

LINEAR ALGEBRA I

1	Course Title:	LINEAR ALGEBRA I
2	Course Code:	MAT1003
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	1
7	ECTS Credits Allocated:	7
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	2
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:	Prof. Dr. BASRİ ÇELİK
16	Course Lecturers:	Doç. Dr.Basri ÇELİK- Yrd. Doç.Dr. Atilla AKPINAR- Öğr.Gör.Dr.Esen İYİGÜN
17	Contactinformation of the Course Coordinator:	E-posta: sciftci@uludag.edu.tr Telefon: +90 224 2941754 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 understand thoroughly (with proofs, algebraic and geometric applications) the basic material on vector spaces and to develop some computational skills in working with linear transformations and the matrices used to represent them
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	gives an understanding of the algebra of finite-dimensional vector spaces as a basis for further study of abstract algebra;
2	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 R^(n) and C^(n);
3	enhances your capability for studying abstraction and producing formal mathematical arguments (proofs);
4	learns some important applications of linear algebra in other mathematical disciplines.;
5	understands the relationship between geometry and linear algebra, including the roles of inner products and orthogonality.;
6	uses the Gram-Schmidt algorithm to orthonormalize a set of vectors.;
7	utilizes linear transformations as mappings from one vector space to another. ;
8	finds the change-of-coordinates matrix from a given basis to another.;
9	uses definitions and theorems to prove results in all of the above topics. ;

22	Course Content:

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

23	Textbooks, References and/or Other Materials:	1) Lineer Cebir, H.Hilmi Hacısalihoğlu, Ankara,1985 2) Uygulamalı Lineer Cebir, B.Kol-.R.Hill (tercüme), Ankara, 2002 3) Linear Algebra, Serge Lang, Newyork, 1972 4) Elemantary Linear Algebra, Hartfiel.Hobbs, 1987, PWS Publisher 5) Fundamentals of Linear Algebra, Katsumi Nomizu, McGraw-Hill Book Company, 1966 6) Linear Algebra with Applications, Gareth Williams, Jones and Barlett Publishers, 2001
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