FACULTY OF ENGINEERING
Department of Computer Engineering
CE 215 | Course Introduction and Application Information
Course Name |
Discrete Mathematics for 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
|
|||||
Mode of Delivery | face to face | |||||
Teaching Methods and Techniques of the Course | Problem SolvingLecture / Presentation | |||||
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. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | 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 |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
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 |
4 | Sets, Functions | Rosen, Discrete Mathematics and Its Applications, Chapter 2, Sections 2.1-2.3 |
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 | Review / Midterm | |
8 | Number Theory: Primes | Rosen, Discrete Mathematics and Its Applications, Chapter 4, Sections 4.3-4.5 |
9 | Mathematical Induction | Rosen, Discrete Mathematics and Its Applications, Chapter 5, Sections 5.1, 5.2 |
10 | Counting | Rosen, Discrete Mathematics and Its Applications, Chapter 6, Sections 6.1-6.4, Chapter 8, Section 8.5 |
11 | Discrete Probability | Rosen, Discrete Mathematics and Its Applications, Chapter 7 |
12 | Relations | Rosen, Discrete Mathematics and Its Applications, Chapter 9, Sections 9.1, 9.3, 9.5, 9.6 |
13 | Graphs and Trees | Rosen, Discrete Mathematics and Its Applications, Chapter 10, Sections 10, 10.2, Chapter 11, Section 11.1 - 11.4 |
14 | Modeling Computation | Rosen, Discrete Mathematics and Its Applications, Chapter 9, Sections 13.1 - 13.3 |
15 | Semester Review | |
16 | Final Exam |
Course Notes/Textbooks | Discrete Mathematics and Its Applications, Kenneth H. Rosen, 8th edition, McGraw Hill, 2018, 978-1260091991 |
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, 978-0201360615 |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques |
5
|
30
|
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
1
|
30
|
Final Exam |
1
|
40
|
Total |
Weighting of Semester Activities on the Final Grade |
2
|
60
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
Total |
ECTS / WORKLOAD TABLE
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
|
0
|
|
Study Hours Out of Class |
14
|
3
|
42
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
5
|
1
|
5
|
Portfolio |
0
|
||
Homework / Assignments |
0
|
||
Presentation / Jury |
0
|
||
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
1
|
40
|
40
|
Final Exam |
1
|
45
|
45
|
Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
||
1 | To have adequate knowledge in Mathematics, Science and Computer 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 Computer Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. |
X | ||||
3 | To be able to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design 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 Computer 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 engineering problems or Computer Engineering research topics. |
|||||
6 | To be able to work efficiently in Computer Engineering disciplinary and multi-disciplinary 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 present effectively, to be able to give and receive clear and comprehensible instructions. |
|||||
8 | To have knowledge about global and social impact of Computer Engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Computer Engineering solutions. |
|||||
9 | To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. |
|||||
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. |
|||||
11 | To be able to collect data in the area of Computer Engineering, and to be able to communicate with colleagues in a foreign language. ("European Language Portfolio Global Scale", Level B1) |
|||||
12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
|||||
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 Computer Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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