TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMETRICS PR. | |
| Code | EKMZ203 |
| Name | Linear Algebra |
| Term | 2020-2021 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 | Uzaktan 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 | - | Explains Econometric concepts | 0 |
| PLO02 | - | Acquires basic Mathematics, Statistics and Operation Research concepts | 5 |
| PLO03 | - | Equipped with the foundations of Economics, and develops Economic models | 2 |
| PLO04 | - | Describes the necessary concepts of Business | 0 |
| PLO05 | - | Models problems with Mathematics, Statistics, and Econometrics | 5 |
| PLO06 | - | Estimates the model consistently and analyzes & interprets its results | 0 |
| PLO07 | - | Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems | 4 |
| PLO08 | - | Collects, edits, and analyzes data | 0 |
| PLO09 | - | Uses a package program of Econometrics, Statistics, and Operation Research | 0 |
| PLO10 | - | Effectively works, take responsibility, and the leadership individually or as a member of a team | 5 |
| PLO11 | - | Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study | 5 |
| PLO12 | - | Develops the ability of using different resources in the form of academic rules, synthesis the information gathered, and effective presentation in an area which has not been studied | 4 |
| PLO13 | - | Uses Turkish and at least one other foreign language, academically and in the business context | 0 |
| PLO14 | - | Good understanding, interpretation, efficient written and oral expression of the people involved | 0 |
| PLO15 | - | Improves himself/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development | 3 |
| PLO16 | - | Questions traditional approaches and their implementation while developing alternative study programs when required | 2 |
| PLO17 | - | Recognizes and implements social, scientific, and professional ethic values | 4 |
| PLO18 | - | Follows actuality, and interprets the data about economic and social events | 0 |
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 | ||