TÜRKÇE
ENGLISH
Information
| Unit | INSTITUTE OF SOCIAL SCIENCES |
| ECONOMETRICS (MASTER) (WITH THESIS) | |
| Code | IEM718 |
| Name | Numerical Linear Algebra |
| 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 give insight and skill about the concrete aspects of linear algebra,To provide basic concepts of matrices and the systems of homogeny and linear equations,To solve the systems using matrices,To teach vector spaces and abstract mathematical concepts,To teach abstract thought
Course Content
Review of the basic concepts of the group theory from undergraduate-level , categories, free products, free objects, free abelian groups, finitely generated Abelian groups, classification of finite groups , Normal series, Nilpotent and solvable groups.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Defines the concepts Semigroup, Monoid and group . |
| LO02 | Defines the group homomorphism and , knows subgroup,some special groups and their properties |
| LO03 | Knows in detail the structure of normal subgroups cosets and quotient groups |
| LO04 | Express and proves the isomorphism theorems for groups Knows the concepts of freee groups, free abelian groups, finitely generated abelian groups |
| LO05 | Knows the action of a group on a set and classification of finite groups of low order |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explains contemporary concepts about Econometrics, Statistics, and Operation Research | |
| PLO02 | - | Explains relationships between acquired knowledge about Econometrics, Statistics, and Operation Research | |
| PLO03 | - | Explains how to apply acquired knowledge in the field to Economics, Business, and other social sciences | |
| PLO04 | - | Models problems with Mathematics, Statistics, and Econometrics | |
| PLO05 | - | Applies the most suitable method to estimate the model & interprets its results | |
| PLO06 | - | Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems | |
| PLO07 | - | Collects, edits, and analyzes data for the purpose of study | |
| PLO08 | - | Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research | |
| PLO09 | - | Effectively works, take responsibility, and the leadership as a member of a team | |
| PLO10 | - | Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution | |
| PLO11 | - | Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study | |
| 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 | |
| PLO13 | - | Appropriately presents results of a study & reports findings in a master's thesis or report written in Turkish or in a foreign language | |
| PLO14 | - | Uses a package program of Econometrics, Statistics, and Operation Research or writes a new code | |
| PLO15 | - | Improves himself/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development | |
| PLO16 | - | Searches for new approaches and methods to solve problems being faced | |
| PLO17 | - | Recognizes and implements social, scientific, and professional ethic values | |
| PLO18 | - | Follows actuality, and interprets the data about economic and social events | |
| PLO19 | - | Develops solutions for organizations using Econometrics, Statistics, and Operation Research |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to basic concepts that will be needed in the group theory | Reviewing the relevant chaptes in the Sources | |
| 2 | Semigroup, monoid, group and homomorphisms of groups | Reviewing the relevant chaptes in the Sources | |
| 3 | Cyclic groups, cosets and counting | Reviewing the relevant chaptes in the Sources | |
| 4 | Normal subgroups and quotient groups | Reviewing the relevant chaptes in the Sources | |
| 5 | Symmetric, Alternating and dihedral groups | Reviewing the relevant chaptes in the Sources | |
| 6 | Categories | Reviewing the relevant chaptes in the Sources | |
| 7 | Free objects in the category of groups, generators and relations | Reviewing the relevant chaptes in the Sources | |
| 8 | Mid-Term Exam | Reviewing the relevant chaptes in the Sources | |
| 9 | Free abelian groups | Reviewing the relevant chaptes in the Sources | |
| 10 | Finitely generated abelian groups | Reviewing the relevant chaptes in the Sources | |
| 11 | Action of a group on a set | Reviewing the relevant chaptes in the Sources | |
| 12 | Sylow Theorems | Reviewing the relevant chaptes in the Sources | |
| 13 | Classification of finite groups of low order. | Reviewing the relevant chaptes in the Sources | |
| 14 | Normal series | Reviewing the relevant chaptes in the Sources | |
| 15 | Nilpotent and solvable grops | Reviewing the relevant chaptes in the Sources | |
| 16 | Term Exams | Reviewing the relevant chaptes in the Sources | |
| 17 | Term Exams | Reviewing the relevant chaptes in the Sources |