EKMS305 Optimization

5 ECTS - 3-0 Duration (T+A)- 5. Semester- 3 National Credit

Information

Code EKMS305
Name Optimization
Term 2024-2025 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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. SÜLEYMAN BİLGİN KILIÇ
Course Instructor Salih ÇAM (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

No prerequisites

Resources

Ahmet ÖZTÜRK "Yöneylem Araştırması" Wayne L. Winston "Operations Research"

Notes

related statistical and econometric packages


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Solves the problems via analytical thinking
LO02 Constructs the mathematical models
LO03 Knows basic concepts related to optimization
LO04 Transforms problems have complex structure into mathematical problems.
LO05 Finds effective solutions to problems


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 4
PLO02 Bilgi - Kuramsal, Olgusal Acquires basic Mathematics, Statistics and Operation Research concepts 3
PLO03 Bilgi - Kuramsal, Olgusal Describes the necessary concepts of Business 4
PLO04 Beceriler - Bilişsel, Uygulamalı Equipped with the foundations of Economics, and develops Economic models 5
PLO05 Beceriler - Bilişsel, Uygulamalı Models problems with Mathematics, Statistics, and Econometrics 3
PLO06 Beceriler - Bilişsel, Uygulamalı Has the ability to analyze/interpret at the conceptual level to develop solutions to problems 4
PLO07 Beceriler - Bilişsel, Uygulamalı Collects/analyses data 5
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 which does not research 3
PLO10 Beceriler - Bilişsel, Uygulamalı It develops traditional approaches, practices and methods into new working methods when it deems necessary 2
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Leads by taking responsibility individually and/or within the team 3
PLO12 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 3
PLO13 Yetkinlikler - Öğrenme Yetkinliği Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in its field. 4
PLO14 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses a package program of Econometrics, Statistics, and Operation Research 3
PLO15 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses Turkish and at least one other foreign language, academically and in the business context 4
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


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 Öğretim Yöntemleri:
Anlatım
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 Öğretim Yöntemleri:
Anlatım
3 Newton-Raphson method Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım
4 Constrained optimization of continuous functions Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım
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 Öğretim Yöntemleri:
Anlatım
6 Linear programming and the simplex method Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım
7 The sensitivity analysis Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
8 Mid-Term Exam Students will be prepared by studying relevant subjects from source books according to the weekly program Ölçme Yöntemleri:
Yazılı Sınav
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 Öğretim Yöntemleri:
Anlatım
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 Öğretim Yöntemleri:
Anlatım
11 Non-linear programming algorithms Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım
12 Gradient descent method Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım
13 Quadratic programming Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım
14 Geometric programming Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
15 Stochastic programming Students will be prepared by studying relevant subjects from source books according to the weekly program Öğretim Yöntemleri:
Alıştırma ve Uygulama
16 Term Exams students take term exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams students take term exams Ölçme Yöntemleri:
Yazılı Sınav


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

Update Time: 08.05.2024 11:37