COURSE SYLLABUS

LINEAR ALGEBRA II

1	Course Title:	LINEAR ALGEBRA II
2	Course Code:	MAT1004
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	2
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. SÜLEYMAN ÇİFTÇİ
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:	To find matrix of the linear transformation, to solve linear equation systems by elementary operations, to introduce permutation and determinant functions and to teach methods of solution of the linear equation systems.
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	Solving problem
2	Change of basis and properties of matrix	Solving problem
3	Elementary operations, echolon form and reduced echolon form	Solving problem
4	Elementary operations of vectors and matrices	Solving problem
5	Linear equation systems, definition and examples, solution method by Gauss method	Solving problem
6	Solution of Linear equation systems by Gauss-Jordan method and LU partition	Solving problem
7	Permutations, odd-even permutations, the group of permutations	Solving problem
8	Midterm exam and evaluation of midterm exam, repeat of previous subjects	Solving problem
9	n-linear alternative functions	Solving problem
10	Determinant and basic properties of determinant functions	Solving problem
11	Laplace formula for determinant and examples	Solving problem
12	Inverse matrix, determinant of a linear transformation	Solving problem
13	Solution of linear equation systems by determinants	Solving problem
14	Characteristic vectors and characteristic values	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