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Information
| Unit | INSTITUTE OF SOCIAL SCIENCES |
| ECONOMETRICS (MASTER) (WITH THESIS) | |
| Code | IEM713 |
| Name | Matrix Theory |
| Term | 2018-2019 Academic Year |
| Term | Spring |
| 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 | Prof. Dr. ERSİN KIRAL |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
To provide the students with the necessary information in linear models and multivariate analysis
Course Content
Basic terms and concepts in the matrix theory, column space, null space, subspace, and Echelon form, type of mxn matrices g-inverse, solution of systems of equations, matrix derivative and properties of positive definit and nnd matrices.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understand the fundamental rules and concepts of matrix |
| LO02 | Define the concepts of linear independence, eigenvalues and eigenvectors |
| LO03 | Comprehend matrix trace and its properties |
| LO04 | Have the knowedge about matix derivative, and properties of positive definit and n.n.d. matrices |
| LO05 | Solve the systems of equations and examine the terms of consistency |
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 of 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 | Beceriler - Bilişsel, Uygulamalı | Uses a package program/writes a new code for Econometrics, Statistics, and Operation Research | |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research | |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO17 | 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 | |
| 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 | |
| 2 | Similar matrices, Symmetric matrices | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 3 | Eigenvectors and eigenvalues | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 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 | |
| 5 | Basic theorems of generalized inverse | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 6 | Computing formulas for the g-inverse | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 7 | Conditional inverse, Hermite form of matrices | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 8 | Mid-Term Exam | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 9 | solutions to systems of linear equations | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 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 | |
| 11 | Pattern matrices | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 12 | Trace of matrik and its properties | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 13 | Matrix derivatives | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 14 | nnd matrices and its properties | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 15 | pd and nnd matrices and its properties | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 16 | Term Exams | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 17 | Term Exams | Students will be prepared by studying relevant subjects from source books according to the weekly program |
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 | ||