Course Name Code Semester T+U Hours Credit ECTS
Discrete Mathematic and Its Applications BSM 614 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level Doctorate Degree Course Type Optional Course Coordinator Doç.Dr. NİLÜFER YURTAY Course Lecturers Course Assistants Course Category Course Objective Discrete mathematic is an area of mathematics concerned with solving problems for which the number of possibilities. These problems may be broken into three main categories: determining existence, counting and optimization Course Content Introduction to mathematical technics in computer engineering and computer science. Mathematical logic, induction, set theory, relations, functions, graphs, trees and matching.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 To understand of Computer network, data structures and basic prinsiples of data bases Lecture, Question-Answer, Drilland Practice, Testing, Homework, Project / Design,
2 To develop of mathematical inference Lecture, Question-Answer, Drilland Practice, Testing, Homework, Project / Design,
Week Course Topics Preliminary Preparation
1 Combinatorial problems and mathematical induction
2 Sets, relations and functions
3 Algebra structures
4 Introduction to Graphs theory
5 Graph algorithms
6 Multi graphs and their applications
7 Directed graphs
8 Trees
9 Counting techniques
10 Recurrence relations and genarating functions
11 Finite state machines
12 Applications and software development
13 Applications and software development
14 Applications and software development
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
2 ability to complete and implement “limited or incomplete data” by using the scientific methods. X
2 ability to complete and implement “limited or incomplete data” by using the scientific methods. X
3 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them X
3 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them X
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process X
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process X
5 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
5 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
6 ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply process X
6 ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply process X
7 gain high level ability to define the required information and data X
7 gain high level ability to define the required information and data X
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations X
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations X
9 systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
9 systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
10 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation and announcement X
10 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation and announcement X
11 aware of new and developing application of profession and ability to analyze and study on those applications X
11 aware of new and developing application of profession and ability to analyze and study on those applications X
12 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment X
12 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Kısa Sınav 10
1. Ödev 20
1. Sözlü Sınav 10
2. Kısa Sınav 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100