BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
| 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 | 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 |