COURSE UNIT TITLE

: OPTIMIZATION TECHNIQUES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
CIE 5012 OPTIMIZATION TECHNIQUES ELECTIVE 2 0 0 6

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

Offered to

STRUCTURAL ENGINEERING
Structural Engineering
STRUCTURAL ENGINEERING

Course Objective

The concept of optimization, fundamental principles related with the topic, teaching of standard level various optimization methods and dealing particularly with the application examples in structural engineering area proceeding from general expressions constitute the basic objectives of the course.

Learning Outcomes of the Course Unit

1   To have a knowledge on optimization concept and fundamental principles
2   To be able relate engineering problems with mathematical modellings
3   To analyze enginnering problems by using mathematical modellings
4   To recognize informed and suitable results with optimization techniques
5   To develope optimum solution from alternative solutions

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to optimization. Basic descriptions and concepts.
2 Design space, constraint surfaces, objective function. Statement of an optimization problem.
3 General view of mathematical programming techniques.
4 Classical Optimization Techniques (Calculus methods), linear programming, non linear programming, quadratic program-ming, geometric programming, dynamic programming, integer programming, network methods (CPM, PERT) etc.
5 Classical Optimization Techniques: Single variable optimization techniques and its application
6 Classical Optimization Techniques: Multi variable optimization techniques with no constraints and its application
7 Various applications. Giving the term-assignment.
8 Classical Optimization Techniques: Multi variable optimization techniques with equality constraints and its application
9 Classical Optimization Techniques: Multi variable optimization techniques with inequality constraints and its application
10 Optimization with Lagrange multipliers and its application.
11 Linear Programming: Simplex Method
12 Applications
13 Mid-term exam
14 General view and introduction to non-linear optimization. Submission of term-assignment.

Recomended or Required Reading

Textbook(s): Lecture Notes
Supplementary Book(s): Related publications
Materials: Computer and various prams, calculator

Planned Learning Activities and Teaching Methods

The course will be taught in a lecture and numerical example applications will also be supplied during the lecture. A comprehensive homework will be required in order to provide the understanding of the methods.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.25 + ASG *0.25 +FIN *0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.25 + ASG *0.25 +RST *0.50


Further Notes About Assessment Methods

None

Assessment Criteria

Mid-term exam : (LO1, LO2, LO3)
Homework Assignments/Presentation : (LO1, LO2, LO3, LO4)
Final Exam : (LO1, LO2, LO3, LO4, LO5)

Language of Instruction

Turkish

Course Policies and Rules

Attendance is compulsory in order to be accepted to the final examination.

Contact Details for the Lecturer(s)

atilla.orbay@deu.edu.tr

Office Hours

Any suitable time

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 17 1 17
Tutorials 9 1 9
Preparing Individual Assignments 1 30 30
Preparation for Final Exam 1 25 25
Preparation for Mid-term Exam 1 20 20
Preparation before/after weekly lectures 10 3 30
Mid-term 1 3 3
Final 1 4 4
TOTAL WORKLOAD (hours) 138

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.15
LO.2555
LO.35555
LO.45555
LO.5555