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Information
| Code | CEN343 |
| Name | Theory of Computation |
| Term | 2024-2025 Academic Year |
| Semester | 5. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. UMUT ORHAN |
| Course Instructor |
Prof. Dr. UMUT ORHAN
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The main purpose of this course is to explain the mathematical development of computer science and to define Chomsky language classes in terms of grammar and automata.
Course Content
Chomsky hierarchy, Regular languages, Context free languages, Turing machines, Decidability, P and NP languages, NP-complete languages
Course Precondition
None
Resources
Introduction to Theory of Computation, Anil Maheshwari and Michiel Smid, Carleton University, 2012.
Notes
Introduction to the Theory of Computation, 2nd Edition, Michael Sipser, Thomson Course Technnology, Boston, 2006. Introduction to Languages and the Theory of Computation, 4th Edition. John C. Martin, 2011, Mc Graw Hill.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | It can generate RE, FA, PDA, CFG, TM and PM for the defined languages. |
| LO02 | It can be proved that RE and FA, PDA and CFG, and TM and PM in the defined languages are equivalent. |
| LO03 | Can establish a connection between theoretical machines and present-day computers. |
| LO04 | Gain the ability to apply mathematical models to practical problems such as string searching, encryption, and language design. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge of mathematics, science and related engineering disciplines; ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work effectively in interdisciplinary and multidisciplinary teams; individual working skills. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Discrete Mathematical Structures review | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 2 | Deterministic Finite Automata (DFA) and Non-Deterministic Finite Automata (NFA) | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 3 | NFA to DFA, Regular Expressions | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 4 | DFA to Regular Expression, Pumping Lemma for Regular Languages | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 5 | Context-Free Grammars, Chomsky Normal Form | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | Push-Down Automata | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 7 | Pumping Lemma for Context-Free Languages | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 8 | Midterm Exam | Study to lecture notes and apllications | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Turing Machines, Church-Turing Thesis | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 10 | Non-Deterministic Turing Machines | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 11 | Decidable and Undecidable Languages | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 12 | Enumerability and Enumarable Languages | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 13 | Introduction to Complexity Theory, P and NP classes | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Non-Deterministic algorithms, NP-Complete Languages | Reading related chapter in lecture notes | Öğretim Yöntemleri: Anlatım |
| 15 | Review for final exam | Reading related chapter in lecture notes | Öğretim Yöntemleri: Soru-Cevap |
| 16 | Final Exam | Study to lecture notes and apllications | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final Exam | Study to lecture notes and apllications | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||