APPLIED MATHEMATICS (TURKISH, THESIS)
Master TR-NQF-HE: Level 7 QF-EHEA: Second Cycle EQF-LLL: Level 7

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT5015 Mathematical Programming and Modelling Fall
Spring
3 0 3 12
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: Turkish
Type of course: Departmental Elective
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Dr. GENCO FAS
Recommended Optional Program Components: None
Course Objectives: The course will provide an introduction to optimization and consider required fundamental concepts on industry, planning and logistics.

Learning Outcomes

The students who have succeeded in this course;
Students will learn mathematical modelling and exact and heuristic solution methods about real life problems.

Course Content

Introduction to optimization and mathematical modelling, 2-dimentional linear programming, Integer programming, Simplex Method, Quadratic Assignment, Trasportation, Location-Allocation Problems.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction to Linear Programming
2) Real life problems on two-dimentional linear programming
3) Simplex Method: Definitions and basic operations
4) Simplex Method (cont.)
5) Big-M and Two-Phase Methods
6) Revised Simplex Method and Duality
7) Karush Kuhn Tucker Conditions
8) Integer Programming
9) Travelling Salesman and Location - Allocation Models
10) Quadratic Assignment Problem
11) Some Heuristic Methods such as Simulated Annealing and Genetic Algorithm.
12) Branch and Bound Method
13) Applications and Review
14) Review

Sources

Course Notes / Textbooks: - Operations research: An Introduction, Hamdy A. Taha, Prentice Hall

References: - Facilities Design, Sunderesh S. Heragu, CRC Press

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Attendance 14 % 10
Homework Assignments 2 % 10
Midterms 1 % 30
Final 1 % 50
Total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 8 112
Presentations / Seminar 2 2 4
Homework Assignments 2 10 20
Quizzes 2 2 4
Midterms 2 2 4
Final 1 14 14
Total Workload 200

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Ability to assimilate mathematic related concepts and associate these concepts with each other. 5
2) Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization. 5
3) Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. 5
4) Ability to make individual and team work on issues related to working and social life. 4
5) Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball. 5
6) Ability to use mathematical knowledge in technology. 5
7) To apply mathematical principles to real world problems. 5
8) Ability to use the approaches and knowledge of other disciplines in Mathematics. 5
9) Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary. 5
10) To be able to link abstract thought that one has to concrete events and to transfer the solutions and examine and interpret the results scientifically by forming experiments and collecting data. 5
11) To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. 5
12) To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself, 5