IEM1829 Matrix Theory

8 ECTS - 4-0 Duration (T+A)- . Semester- 4 National Credit

Information

Code IEM1829
Name Matrix Theory
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 4-0 (T-A) (17 Week)
ECTS 8 ECTS
National Credit 4 National Credit
Teaching Language Türkçe
Level Doktora Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Doç. Dr. ERSİN KIRAL


Course Goal / Objective

To teach the concept of matrix in detail and to show its application areas.

Course Content

Linear Equations and Matrices, Solution of Linear Systems, Determinants, Real Vector Spaces, Linear Transformations and Matrices, Eigenvalues and Eigenvectors

Course Precondition

no prerequisites

Resources

Uygulamalı Lineer Cebir - Bernard Kolman, David. R. Hill

Notes

Makaleler


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Explain algebraic operations between matrices and matrices
LO02 Classifies matrices according to their different properties
LO03 Develops different solutions to mathematical models using algebraic properties of matrices
LO04 Displays a mathematical model in matrix form
LO05 Performs matrix operations with a computer program


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Identify an econometric problem and propose a new solution to it
PLO02 Bilgi - Kuramsal, Olgusal Develops new knowledge using current concepts in Econometrics, Statistics and Operations Research 3
PLO03 Bilgi - Kuramsal, Olgusal Explain for what purpose and how econometric methods are applied to other fields and disciplines 1
PLO04 Beceriler - Bilişsel, Uygulamalı Using her knowledge, brings original solutions to problems in Economics, Business Administration and other social sciences
PLO05 Beceriler - Bilişsel, Uygulamalı Creates a new model using mathematics, statistics and econometrics knowledge to solve the problem encountered 5
PLO06 Beceriler - Bilişsel, Uygulamalı Interprets the results obtained from the most appropriate method to predict the model 1
PLO07 Beceriler - Bilişsel, Uygulamalı Performs conceptual analysis to develop solutions to problems
PLO08 Beceriler - Bilişsel, Uygulamalı Collects data on purpose
PLO09 Beceriler - Bilişsel, Uygulamalı Synthesizes the information obtained by using different sources within the framework of academic rules in a field that does not research
PLO10 Beceriler - Bilişsel, Uygulamalı Presents analysis results conveniently 2
PLO11 Beceriler - Bilişsel, Uygulamalı Converts its findings into a master's thesis or a professional report in Turkish or a foreign language 3
PLO12 Beceriler - Bilişsel, Uygulamalı It researches current approaches and methods to solve the problems it encounters and proposes new solutions 4
PLO13 Beceriler - Bilişsel, Uygulamalı Develops long-term plans and strategies using econometric and statistical methods
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Performs self-study using knowledge of Econometrics, Statistics and Operations to solve a problem 3
PLO15 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Leads the team by taking responsibility
PLO16 Yetkinlikler - Öğrenme Yetkinliği Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in the field of study
PLO17 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution
PLO18 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses a package program of Econometrics, Statistics, and Operation Research or writes a new code
PLO19 Yetkinlikler - İletişim ve Sosyal Yetkinlik Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form
PLO20 Yetkinlikler - Alana Özgü Yetkinlik Applies social, scientific and professional ethical values
PLO21 Yetkinlikler - Alana Özgü Yetkinlik Interprets data on economic and social events by following current issues


Week Plan

Week Topic Preparation Methods
1 Notations and definitions ( determinant, rank, trace, qadratic forms, orthogonal martices) Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Gösterip Yaptırma
2 Similar matrices, Symmetric matrices Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
3 Eigenvectors and eigenvalues Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
4 Vector space, vector subspace, basis of a vector space, column and null space of a marrix Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
5 Basic theorems of generalized inverse Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Gösterip Yaptırma
6 Computing formulas for the g-inverse Reading the related references Öğretim Yöntemleri:
Anlatım
7 Conditional inverse, Hermite form of matrices Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
8 Mid-Term Exam Reading the related references Ölçme Yöntemleri:
Yazılı Sınav
9 solutions to systems of linear equations, Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
10 Approximate solutions to inconsitent systems of linear equations, Least squares Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
11 Pattern matrices Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
12 Trace of matrik and its properties Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
13 Matrix derivatives Reading the related references Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
14 nnd matrices and its properties Reading the related references Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
15 pd and nnd matrices and its properties Reading the related references Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma
16 Term Exams Reading the related references Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Reading the related references Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 4 56
Out of Class Study (Preliminary Work, Practice) 14 8 112
Assesment Related Works
Homeworks, Projects, Others 2 4 8
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 24 24
Total Workload (Hour) 212
Total Workload / 25 (h) 8,48
ECTS 8 ECTS

Update Time: 08.05.2024 11:17