1	Course Title:	NUMERICAL METHODS I
2	Course Code:	ISL4401
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	4
6	Semester:	7
7	ECTS Credits Allocated:	5
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Doç. Dr. GÜL EMEL
16	Course Lecturers:	Öğr.Gör.Dr.Burcu AVCI ÖZTÜRK
17	Contactinformation of the Course Coordinator:	Yrd.Doç.Dr.Gül GÖKAY EMEL ggokay@uludag.edu.tr Tel: 0224 29 41055
18	Website:
19	Objective of the Course:	Anayzing the business cases and mathematical modelling, solving the models, interpreting the solutions and presenting to the decision-makers in a useful format for the effective management of decision making activities.
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 To be able to analyze business problems successfully; 2 To be able to model the problems mathematically; 3 To be able to solve a linear programming model with graphical method. ; 4 To be able to solve linear programming problems that include different constraint types with simplex method.; 5 To be able to define and solve complex business problems. ; 6 To be able to solve linear programming problems with minimum and maximum objectives.; 7 To be able to use linear programming effectively in all functions of a business.; 8 To be able to interpret the solutions as a manager and use numerical techniques for decision support.;

22	Course Content:

Week	Theoretical	Practical
1	Definition of numerical methods and model building
2	Linear programming and establishment of linear programming models
3	Graphical method solution of maximum problems
4	Graphic method solution of minimum problems
5	Simplex method algorithm
6	Simplex method solution of maximum problems
7	Simplex method solution of minimum problems
8	Special cases (degenerations and unlimited solutions)
9	Invalid starting solution models and solutions
10	Solutions with two stage method
11	Duality in linear programming
12	Simplex method solution of dual problem and economical interpretation
13	Sensitivity analysis and simplex method
14	Application of graphic and simplex method

23	Textbooks, References and/or Other Materials:	* Zekai, Yılmaz, Sayısal Yöntemler, Ekin Kitabevi, Bursa, 2004. * Ahmet Öztürk, Yöneylem Araştırması, Ekin Kitabevi, Bursa, 2011. * Wayne L. Winston, Operations Research: Applications and Algorithms, Thomson Brooks/Cole, Australia, 2004.
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	4	56
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	25	25
Others	0	0	0
Final Exams	1	30	30
Total WorkLoad			178
Total workload/ 30 hr			5,1
ECTS Credit of the Course			5

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 LO1 2 4 0 0 0 0 3 0 5 0 3 0 LO2 0 4 0 0 0 0 3 0 5 0 3 0 LO3 0 0 0 0 0 0 0 0 5 0 0 0 LO4 0 0 0 0 0 0 3 0 5 0 0 0 LO5 2 4 0 0 0 0 0 0 5 0 3 0 LO6 0 0 0 0 0 0 0 0 5 0 3 0 LO7 2 4 0 0 0 0 3 0 5 0 3 0 LO8 2 4 0 0 0 0 3 0 5 0 3 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High