IEM713 Matrix Theory

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code IEM713
Name Matrix Theory
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Yüksek Lisans 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 Explains contemporary concepts about Econometrics, Statistics, and Operation Research 3
PLO02 Bilgi - Kuramsal, Olgusal Explains relationships between acquired knowledge about Econometrics, Statistics, and Operation Research 3
PLO03 Bilgi - Kuramsal, Olgusal Explains how to apply acquired knowledge in the field to Economics, Business, and other social sciences 1
PLO04 Beceriler - Bilişsel, Uygulamalı Performs conceptual analysis to develop solutions to problems 4
PLO05 Beceriler - Bilişsel, Uygulamalı Models problems with Mathematics, Statistics, and Econometrics
PLO06 Beceriler - Bilişsel, Uygulamalı Interprets the results obtained from the most appropriate method to predict the model 1
PLO07 Beceriler - Bilişsel, Uygulamalı Synthesizes the information obtained by using different sources within the framework of academic rules in a field that does not research
PLO08 Beceriler - Bilişsel, Uygulamalı Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution
PLO09 Beceriler - Bilişsel, Uygulamalı Searches for new approaches and methods to solve problems being faced 3
PLO10 Beceriler - Bilişsel, Uygulamalı Presents analysis results conveniently
PLO11 Beceriler - Bilişsel, Uygulamalı Collects/analyzes data in a purposeful way
PLO12 Yetkinlikler - İletişim ve Sosyal Yetkinlik Converts its findings into a master's thesis or a professional report in Turkish or a foreign language
PLO13 Beceriler - Bilişsel, Uygulamalı Develops solutions for organizations using Econometrics, Statistics, and Operation Research
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research
PLO15 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Leads by taking responsibility individually and/or within the team
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 a package program of Econometrics, Statistics, and Operation Research or writes a new code
PLO18 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
PLO19 Yetkinlikler - Alana Özgü Yetkinlik Interprets data on economic and social events by following current issues
PLO20 Yetkinlikler - Alana Özgü Yetkinlik Applies social, scientific and professional ethical values 5


Week Plan

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


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 09.05.2024 04:21