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  Course Description
Course Name : Optimization Techniques - II

Course Code : İSB222

Course Type : Compulsory

Level of Course : First Cycle

Year of Study : 2

Course Semester : Spring (16 Weeks)

ECTS : 5

Name of Lecturer(s) : Prof.Dr. SELAHATTİN KAÇIRANLAR

Learning Outcomes of the Course : understand unconstrained optimization the problems and solutions
use unrestricted multivariate methods for the solution of optimization problems
understand the multi-dimensional optimization problems with equality constraints
apply Jacobian and the methods of Lagrange
Understand inequality constrained optimization problems
Write and solve the Kuhn-Tucker Conditions
understand search methods, to distinguish the relationship between them
apply search methods for solving optimization problems

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : to solve unconstrained and constrained optimization problems, to learn search methods

Course Contents : Unrestricted problems, equality restricted optimization problems, inequality restricted optimization problems, nonlinear programming, single and multi variable unrestricted optimization methods, restricted optimization methods, geometric programming, target programming.

Language of Instruction : Turkish

Work Place : Faculty of Arts and Sciences Annex Classrooms


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Unconstrained Optimization Source reading Lecture discussion and problem-solving
2 Unrestricted Multivariable Optimization Source reading Lecture discussion and problem-solving
3 Unrestricted Multivariable Optimization Source reading Lecture discussion and problem-solving
4 Multidimensional Equality Constrained Optimization Problems Source reading Lecture discussion and problem-solving
5 Multidimensional Equality Constrained Optimization Problems Source reading Lecture discussion and problem-solving
6 Inequality Constrained Optimization Problems Source reading Lecture discussion and problem-solving
7 Kuhn-Tucker conditions Source reading Lecture discussion and problem-solving
8 Mid-term Exam Rewview the topics discussed in the lecture notes and sources Written exam
9 Univariate Search Techniques Source reading Lecture discussion and problem-solving
10 Full Search, Search Two Points of Symmetric Source reading Lecture discussion and problem-solving
11 Fibonacci Searchı Source reading Lecture discussion and problem-solving
12 Search Two Points of Symmetric Source reading Lecture discussion and problem-solving
13 Golden Ratio Search Source reading Lecture discussion and problem-solving
14 Split into three Search Source reading Lecture discussion and problem-solving
15 Problem Solving Problem Solving problem-solving
16/17 Final exam Rewview the topics discussed in the lecture notes and sources Written exam


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  Yöneylem Araştırması, Hamdy A. Taha(Çevirenler : Ş. Alp Baray- Şakir Esnaf), Literatür Yayıncılık, 2000
Required Course Material(s)  Yöneylem Araştırması, Ahmet Öztürk, Ekin Yayınevi,2009
 Optimizasyon, Ayşen Apaydın,A.Ü.F.F. Dön. Ser. Yayınları, 1996
 Rangarajan K. Sundaram (1996). A First Course in Optimization Theory, Cambridge University Pres.
 Optimizasyon Teknikleri, Hasan Bal,Gazi Üniversitesi Yayınları, 1995


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 80
    Homeworks/Projects/Others 5 20
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Utilize computer systems and softwares 2
2 Apply the statistical analyze methods 0
3 Make statistical inference(estimation, hypothesis tests etc.) 0
4 Generate solutions for the problems in other disciplines by using statistical techniques 0
5 Discover the visual, database and web programming techniques and posses the ability of writing programme 0
6 Construct a model and analyze it by using statistical packages 2
7 Distinguish the difference between the statistical methods 0
8 Be aware of the interaction between the disciplines related to statistics 4
9 Make oral and visual presentation for the results of statistical methods 1
10 Have capability on effective and productive work in a group and individually 2
11 Develop scientific and ethical values in the fields of statistics-and scientific data collection 1
12 Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics 4
13 Emphasize the importance of Statistics in life 1
14 Define basic principles and concepts in the field of Law and Economics 0
15 Produce numeric and statistical solutions in order to overcome the problems 4
16 Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events 5
17 Use proper methods and techniques to gather and/or to arrange the data 0
18 Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs 0
* Contribution levels are between 0 (not) and 5 (maximum).

  Student Workload - ECTS
Works Number Time (Hour) Total 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 5 3 15
    Mid-term Exams (Written, Oral, etc.) 1 10 10
    Final Exam 1 15 15
Total Workload: 124
Total Workload / 25 (h): 4.96
ECTS Credit: 5