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Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMETRICS PR. | |
| Code | EKMZ203 |
| Name | Linear Algebra |
| Term | 2021-2022 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ERSİN KIRAL |
| Course Instructor |
Prof. Dr. ERSİN KIRAL
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
This module aims to provide an accessible review of the linear algebra from the text book to long after the class. Linear algebra is an essential part of the mathematical background required of mathematicians, engineers, physicists and other scientists. It presents a source for undergraduate students. In general it covers an introduction to linear algebra which will be found helpful to all readers.
Course Content
Students will be able to define matrices, matrix algebra, special types of matrices, elementary row and colon operations, echelon form, rank of a matrix, elementary matrices, inverses, equivalent matrices, determinants, properties of determinants, cofactor and adjoint of a matrix, derivation of inverse matrix, systems of linear equations, solutions of systems of linear equations
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | student gains the ability of solving basic mathematical problems |
| LO02 | student gains the ability of analitical thinking |
| LO03 | students can obtain, edit and analyze data |
| LO04 | use an econometric software package |
| LO05 | solve equation systems using matrix algebra |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and theorems in the fields of Econometrics, Statistics and Operations research | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires basic Mathematics, Statistics and Operation Research concepts | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Describes the necessary concepts of Business | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Equipped with the foundations of Economics, and develops Economic models | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Analyzes/interprets at the conceptual level to develop solutions to problems | 5 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Collects/analyses data from reliable data sources for the purpose of study | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Interprets the results analyzed with the model | 4 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Combines the information obtained from different sources within the framework of academic rules in a field of research | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Adapts traditional approaches, practices and methods to a new study when necessary | 4 |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Uses a package program of Econometrics, Statistics, and Operation Research | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | In addition to herself/himself professional development, constantly improves in scientific, cultural, artistic and social fields in line with interests and abilities | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in its field. | 3 |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses Turkish and at least one other foreign language, academically and in the business context | |
| PLO16 | 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 | |
| PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on current economic and social issues | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Systems of Linear Equations and Matrices (I) | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 2 | Systems of Linear Equations and Matrices (II) | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 3 | Elementary Matrices permutations | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 4 | Determinant Function Determinant Cramer Method | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 5 | Vector Spaces | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 6 | Vector Spaces | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 7 | Linear depence, indepence | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 8 | Mid-Term Exam | Öğrenciler haftalık programdan ilgili konuları inceleyerek hazırlanırlar. | |
| 9 | Linear Transformations and Matrices | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 10 | Linear Transformations and Matrices | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 11 | Application of Linear Transformations and Matrices | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 12 | Inner Product Space | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 13 | Inner Product Space | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 14 | Eigenvalues and Eigenvectors | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 15 | Eigenvalues and Eigenvectors | 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 |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||