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 | - | |||||
Teaching Methods and Techniques of the Course | Problem SolvingLecturing / 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. |
Related Sustainable Development Goals | |
| Core Courses | X |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
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 2.1-2.3 |
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 | Midterm Review | |
8 | MIDTERM | |
9 | Number Theory: Primes | Rosen, Discrete Mathematics and Its Applications, Chapter 4, Sections 4.3-4.5 |
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 6.1-6.4, 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 | Semester Review | |
16 | Final Exam |
Course Notes/Textbooks | Discrete Mathematics and Its Applications, Kenneth H. Rosen, 8th 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 | ||
Portfolio | ||
Homework / Assignments | 1 | 30 |
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
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 |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
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 | 14 | 3 | 42 |
Field Work | |||
Quizzes / Studio Critiques | |||
Portfolio | |||
Homework / Assignments | 1 | 40 | |
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 25 | |
Final Exams | 1 | 25 | |
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. | |||||
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 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 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. | |||||
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 Software 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 Software Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest