Course Name 
Discrete Structures in Computer Science

Code

Semester

Theory
(hour/week) 
Application/Lab
(hour/week) 
Local Credits

ECTS

CE 215

Fall

3

0

3

6

Prerequisites 
None


Course Language 
English


Course Type 
Required


Course Level 
First Cycle


Course Coordinator  
Course Lecturer(s)  
Assistant(s)   
Course Objectives  This course seeks to place on solid foundations the most common structures of computer science, to illustrate proof techniques, to provide the background for an introductory course in computational theory, and to introduce basic concepts of probability theory. 
Course Description 
The students who succeeded in this course;

Course Content  Topics include Boolean algebras, logic, set theory, relations and functions, graph theory, counting, combinatorics, and basic probability theory. 

Core Courses 
X

Major Area Courses  
Supportive Courses  
Media and Management Skills Courses  
Transferable Skill Courses 
Week  Subjects  Related Preparation 
1  Logic: Propositional Logic  Rosen, Discrete Mathematics and Its Applications, Chapter 1, Sections 1.1  1.3 
2  Logic: Predicate Logic  Rosen, Discrete Mathematics and Its Applications, Chapter 1, Sections 1.4, 1.5 
3  Logic: Logic and Proofs  Rosen, Discrete Mathematics and Its Applications, Chapter 1, Sections 1.6, 1.8, 1.9 
4  Sets, Functions  Rosen, Discrete Mathematics and Its Applications, Chapter 2, Sections 2.12.3 
5  Sequences and Sums  Rosen, Discrete Mathematics and Its Applications, Chapter 2, Section 2.4, 2.5 
6  Number Theory: Divisibility  Rosen, Discrete Mathematics and Its Applications, Chapter 4, Sections 4.1, 4.2 
7  Midterm Review  
8  MIDTERM  
9  Number Theory: Primes  Rosen, Discrete Mathematics and Its Applications, Chapter 4, Sections 4.34.5 
10  Mathematical Induction  Rosen, Discrete Mathematics and Its Applications, Chapter 5, Sections 5.1, 5.2 
11  Counting  Rosen, Discrete Mathematics and Its Applications, Chapter 6, Sections 6.16.4, Chapter 8, Section 8.5 
12  Discrete Probability  Rosen, Discrete Mathematics and Its Applications, Chapter 7 
13  Relations  Rosen, Discrete Mathematics and Its Applications, Chapter 9, Sections 9.1, 9.3, 9.5, 9.6 
14  Coding Theory  Rosen, Discrete Mathematics and Its Applications, Chapter 12, Section 12.6 
15  Graphs & Trees  Rosen, Discrete Mathematics and Its Applications, Chapter 10, Sections 10.110.3, Chapter 11, 11.1, 11.2 
16  Semester Review 
Course Notes/Textbooks  Discrete Mathematics and Its Applications, Kenneth H. Rosen, 7th edition, McGraw Hill, 2013 
Suggested Readings/Materials  Discrete and combinatorial mathematics: an applied introduction. R.P. Grimaldi. Fifth Edition. ISBN: 0321211030 Discrete Mathematics for Computer Scientists, J.K. Truss, 2nd edition, Pearson, 1999 
Semester Activities  Number  Weigthing 
Participation  
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques  
Homework / Assignments 
10

25

Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exams  
Midterm 
1

30

Final Exam 
1

45

Total 
Weighting of Semester Activities on the Final Grade  11 
55 
Weighting of EndofSemester Activities on the Final Grade  1 
45 
Total 
Semester Activities  Number  Duration (Hours)  Workload 

Theoretical Course Hours (Including exam week: 16 x total hours) 
16

3

48

Laboratory / Application Hours (Including exam week: 16 x total hours) 
16


Study Hours Out of Class 
16

4


Field Work  
Quizzes / Studio Critiques  
Homework / Assignments 
10

3


Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exam  
Midterms 
1

14


Final Exam 
1

24


Total 
180

#

Program Competencies/Outcomes 
* Contribution Level


1 
2 
3 
4 
5 

1  To have adequate knowledge in Mathematics, Science, Computer Science and Software Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems. 
X  
2  To be able to identify, define, formulate, and solve complex Software Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. 
X  
3  To be able to design, implement, verify, validate, document, measure and maintain a complex software system, process, or product under realistic constraints and conditions, in such a way as to meet the requirements; ability to apply modern methods for this purpose. 
X  
4  To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in software engineering applications; to be able to use information technologies effectively. 
X  
5  To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex Software Engineering problems. 

6  To be able to work effectively in Software Engineering disciplinary and multidisciplinary teams; to be able to work individually. 

7  To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to be able to present effectively, to be able to give and receive clear and comprehensible instructions. 

8  To have knowledge about global and social impact of engineering practices and software applications on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Engineering and Software Engineering solutions. 

9  To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. 
X  
10  To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. 
X  
11  To be able to collect data in the area of Software Engineering, and to be able to communicate with colleagues in a foreign language. 
X  
12  To be able to speak a second foreign language at a medium level of fluency efficiently. 
X  
13  To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Software Engineering. 
X 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest