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Information
| Unit | INSTITUTE OF SOCIAL SCIENCES |
| ECONOMETRICS (MASTER) (WITH THESIS) | |
| Code | IEM715 |
| Name | Introduction to Analysis |
| Term | 2018-2019 Academic Year |
| Term | Fall |
| 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 | understands the measure theory |
| LO02 | knows lebesgue integration of real and complex functions |
| LO03 | knows Riezs representation theorem which is one of the important theory of functional analysis and some results of it |
| LO04 | learns Lebesgue measure in Euclidean spaces |
| LO05 | knows Hahn-Banach theorem which is one of the important theory of Real analysis |
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 | definition of measures and elementary properties of measures | Study the relevant sections in the textbook and solve problems | |
| 2 | Step and simple functions | Study the relevant sections in the textbook and solve problems | |
| 3 | Integration of positive functions and integration and complex functions | Study the relevant sections in the textbook and solve problems | |
| 4 | Topological preliminaries (Urysohn lemma and partition of unity) | Study the relevant sections in the textbook and solve problems | |
| 5 | Riezs representation theorem | Study the relevant sections in the textbook and solve problems | |
| 6 | Regularity properties of Borel measures | Study the relevant sections in the textbook and solve problems | |
| 7 | Lebesgue measures in Euclidean spaces | Study the relevant sections in the textbook and solve problems | |
| 8 | Mid-Term Exam | Study the relevant sections in the textbook and solve problems | |
| 9 | Continuity properties of measurable functions | Study the relevant sections in the textbook and solve problems | |
| 10 | convex functions and some inequalities | Study the relevant sections in the textbook and solve problems | |
| 11 | Lp spaces | Study the relevant sections in the textbook and solve problems | |
| 12 | Banach spaces | Study the relevant sections in the textbook and solve problems | |
| 13 | Baires theorem and consequences of Baires theorem | Study the relevant sections in the textbook and solve problems | |
| 14 | Hahn-Banach theorem | Study the relevant sections in the textbook and solve problems | |
| 15 | Radon-Nikodym theorem | Study the relevant sections in the textbook and solve problems | |
| 16 | Term Exams | Study the relevant sections in the textbook and solve problems | |
| 17 | Term Exams | Study the relevant sections in the textbook and solve problems |