COURSE SYLLABUS

LINEEAR ALGEBRA II

1	Course Title:	LINEEAR ALGEBRA II
2	Course Code:	MAT0504
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 objective of this course, by constructing the relation between linear mappings and matrices, is to understand the finding the echelon form of a matrix and the inverse (if exists) of a matrix, the rank of a matrix and also solving to linear equation systems with several methods.
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	constructs to matrix of the linear transformation ;
2	uses elementary row operations, elementary matrices and matrix algebra to solve systems of equations ;
3	understands determinants and their properties ;
4	develops your ability to solve problems involving linear equations, matrices, determinants and vectors ;
5	learns how to find/calculate the determinant, inverse, transpose of matrices ;
6	understands matrix notation and the different matrix forms ;
7	demonstrates proficiency in correct formulation and solving linear problems in terms of systems of linear equations in matrix notation ;
8	writes solutions to problems involving linear algebra in a clear, mathematically-correct, and grammatically-correct fashion ;

22	Course Content:

Week	Theoretical	Practical
1	Matrix corresponding to linear transformation, rank of a linear transformation
2	Change of basis and properties of matrix
3	Elementary operations, echolon form and reduced echolon form
4	Elementary operations of vectors and matrices
5	Linear equation systems, definition and examples, solution method by Gauss method
6	Solution of Linear equation systems by Gauss-Jordan method and LU partition
7	Permutations, odd-even permutations, the group of permutations
8	Midterm exam and evaluation of midterm exam, repeat of previous subjects
9	n-linear alternative functions
10	Determinant and basic properties of determinant functions
11	Laplace formula for determinant and examples
12	Inverse matrix, determinant of a linear transformation
13	Solution of linear equation systems by determinants
14	Characteristic vectors and characteristic values

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