TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMETRICS PR. | |
| Code | EKMS305 |
| Name | Optimization |
| Term | 2019-2020 Academic Year |
| Semester | 5. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. SÜLEYMAN BİLGİN KILIÇ |
| Course Instructor |
Prof. Dr. SÜLEYMAN BİLGİN KILIÇ
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To give analytical thinking and problem-solving skills to the students by means of learning and application of the optimization methods
Course Content
Introduction to the theory of optimization, necessary and sufficient conditions for the global maximum or minimum of unrestricted functions, Newton-Raphson method, constrained optimization of continuous functions, lagrangian method in the form of equality constraints, linear programming and the simplex method, sensitivity analysis, expansion of the Lagrangian method in the form inequality constraints, determination of the Kuhn-Tucker necessary and sufficient conditions for the non-linear constrained problems, non-linear programming algorithms; gradient descent method, quadratic programming, geometric programming and stochastic programming
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students gain analytical thinking skills |
| LO02 | Student gets the ability of construction of mathematical models |
| LO03 | Students gain problem solving skills |
| LO04 | transforms problems have complex structure into mathematical problems. |
| LO05 | Gain making effective desicion skills |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explains Econometric concepts | 3 |
| PLO02 | - | Acquires basic Mathematics, Statistics and Operation Research concepts | 5 |
| PLO03 | - | Equipped with the foundations of Economics, and develops Economic models | 4 |
| PLO04 | - | Describes the necessary concepts of Business | 3 |
| PLO05 | - | Models problems with Mathematics, Statistics, and Econometrics | 5 |
| PLO06 | - | Estimates the model consistently and analyzes & interprets its results | 5 |
| PLO07 | - | Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems | 5 |
| PLO08 | - | Collects, edits, and analyzes data | 5 |
| 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 | 2 |
| PLO11 | - | Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study | 3 |
| 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 | 0 |
| 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 | 4 |
| PLO15 | - | Improves himself/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development | 0 |
| PLO16 | - | Questions traditional approaches and their implementation while developing alternative study programs when required | 0 |
| PLO17 | - | Recognizes and implements social, scientific, and professional ethic values | 5 |
| PLO18 | - | Follows actuality, and interprets the data about economic and social events | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to the theory of optimization | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 2 | Necessary and sufficient conditions for the global maximum or minimum of unrestricted functions | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 3 | Newton-Raphson method | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 4 | Constrained optimization of continuous functions | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 5 | Lagrangian method in the form of equality constraints | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 6 | Linear programming and the simplex method | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 7 | The sensitivity analysis | 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 | Expansion of the Lagrangian method in the form inequality constraints | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 10 | Determination of the Kuhn-Tucker necessary and sufficient conditions for the non-linear constrained problems | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 11 | Non-linear programming algorithms | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 12 | Gradient descent method | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 13 | Quadratic programming | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 14 | Geometric programming | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 15 | Stochastic programming | Students will be prepared by studying relevant subjects from source books according to the weekly program | |
| 16 | Term Exams | students take term exams | |
| 17 | Term Exams | students take term exams |
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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||