COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Linear Algebra - I * MT   111 1 3 3 4

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Asst.Prof.Dr. Ela AYDIN
Instructors
Dr. Öğr. ÜyesiELA AYDIN1. Öğretim Grup:A
Dr. Öğr. ÜyesiELA AYDIN2. Öğretim Grup:A
 
Assistants
Goals
To give insight and skill about the concrete aspects of linear algebra,To provide basic concepts of matrices and the systems of homogeneous linear equations , To solve the systems using matrices,To teach vector spaces and abstract mathematical concepts ,To teach abstract thought
Content
matrices and the systems of homogeneous linear equations , To solve the systems using matrices, vector spaces and abstract mathematical concepts ,

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics
X
2
Emphasize the importance of Statistics in life
X
3
Define basic principles and concepts in the field of Law and Economics
X
4
Produce numeric and statistical solutions in order to overcome the problems
5
Use proper methods and techniques to gather and/or to arrange the data
X
6
Utilize computer systems and softwares
7
Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events
8
Apply the statistical analyze methods
X
9
Make statistical inference(estimation, hypothesis tests etc.)
10
Generate solutions for the problems in other disciplines by using statistical techniques
11
Discover the visual, database and web programming techniques and posses the ability of writing programme
12
Construct a model and analyze it by using statistical packages
X
13
Distinguish the difference between the statistical methods
14
Be aware of the interaction between the disciplines related to statistics
X
15
Make oral and visual presentation for the results of statistical methods
X
16
Have capability on effective and productive work in a group and individually
X
17
Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs
X
18
Develop scientific and ethical values in the fields of statistics-and scientific data collection

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 System of linear equations Review of the relevant pages from sources
2 Matrices and operations on matrices Review of the relevant pages from sources
3 Properties of matrix operations and special types of matrices Review of the relevant pages from sources
4 Row-Reduced Echelon Matrices and Elementary matrices Review of the relevant pages from sources
5 Gauss elimination and Gauss-Jordan reduction Review of the relevant pages from sources
6 Finding inverses of matrices using elementary operations and solving systems Review of the relevant pages from sources
7 Determinant function and properties Review of the relevant pages from sources
8 Mid-term exam Review of the topics discussed in the lecture notes and sources
9 Using determinant for solving Cramer systems. Review of the relevant pages from sources
10 Vectors in the plane and space Review of the relevant pages from sources
11 Vector spaces Review of the relevant pages from sources
12 Subspaces Review of the relevant pages from sources
13 Linear span Review of the relevant pages from sources
14 Linear dependence and independence Review of the relevant pages from sources
15 Solving problems, final exam Review of the relevant pages from sources
16-17 Final exam Review of the topics discussed in the lecture notes and sources

Recommended or Required Reading
TextbookBernard Kolman, David R. Hill, " Lineer Cebir" ((Translation) Palme Yayıncılık Press,2000.
Additional Resources
Veli Şahmurov, Gökhan Uzgören, " Lineer Cebir Uygulamaları" Papatya Yayıncılık Press,1999.
Arif Sabuncuoğlu, "Lineer Cebir", Nobel yayın dağıtım,2000.