COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Introduction to Matrix Theory *   3 3 5

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 Assoc.Prof.Dr. Dilek KAHYALAR
Instructors
Doç.Dr.DİLEK KAHYALAR1. Öğretim Grup:A
Doç.Dr.DİLEK KAHYALAR2. Öğretim Grup:A
 
Assistants
Goals
To teach the matrix theory which is used in various areas of mathematics and to demostrate the ways in which it is used.
Content
Matrix operations. Determinants and properties of determinants. Rank of a matrix, Equivalent matrices. Similar matrices. Elementary row (column) operations. Elementary matrices. Adjoint of a matrix. Inverse of a matrix. Solution of the system of linear equations. Canonical forms. Quadratic form. Bilinear form.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Is able to prove Mathematical facts encountered in secondary school.
X
2
Recognizes the importance of basic notions in Algebra, Analysis and Topology
3
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
X
4
Is able to express basic theories of mathematics properly and correctly both written and verbally
X
5
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
X
6
Expresses clearly the relationship between objects while constructing a model
X
7
Draws mathematical models such as formulas, graphs and tables and explains them
8
Is able to mathematically reorganize, analyze and model problems encountered.
X
9
Knows at least one computer programming language
10
Uses effective scientific methods and appropriate technologies to solve problems
X
11
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
X
12
In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields
X
13
Knows programming techniques and is able to write a computer program
14
Is able to do mathematics both individually and in a group.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Basic matrix operations Reading the relevant parts of the textbook and problem solving
2 Determinants of matrices Reading the relevant parts of the textbook and problem solving
3 Minors and cofactors Reading the relevant parts of the textbook and problem solving
4 Equivalence of matrices Reading the relevant parts of the textbook and problem solving
5 Adjoint and its properties Reading the relevant parts of the textbook and problem solving
6 Equivalent Matrices Reading the relevant parts of the textbook and problem solving
7 Inverse of a Matrix Reading the relevant parts of the textbook and problem solving
8 Mid -term exam Review and problem solving
9 Solution of Linear Equations Systems using matrices Reading the relevant parts of the textbook and problem solving
10 LU Decomposition Reading the relevant parts of the textbook and problem solving
11 Biliner forms Reading the relevant parts of the textbook and problem solving
12 Canonical forms Reading the relevant parts of the textbook and problem solving
13 Matrix functions Reading the relevant parts of the textbook and problem solving
14 Generalized inverses Reading the relevant parts of the textbook and problem solving
15 Solving problems Review and problem solving
16-17 Final exam Review and problem solving

Recommended or Required Reading
Textbook
Additional Resources