COURSE INFORMATION Course Title: THEORY OF COMPUTATION

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
CEN 553	F	99	1	9	0	6	7.5

Language:	English
Compulsory/Elective:	Elective
Classroom and Meeting Time:
Course Description:	This course covers the foundations of computer science. It will help you distinguish between what is impossible to compute and what is possible in principle to compute. It will also help you to distinguish what is feasible to compute and what is non-feasible to compute. Rigorous treatment is emphasized.
Course Objectives:	Introduction to the main ideas of the theory of complexity of computations. The main requirement is mathematical maturity. The arguments and mathematical proofs will be rigorous, even if given in sometimes deceptively informal language. This course aims to make you able to distinguish between what is possible to compute and what not, and what is possible to compute in a decent time and what not.

COURSE OUTLINE

Week	Topics
1	Introduction and administrivia
2	Turing machines. Universal Turing Machine.
3	Uncomputability. Godel’s theorem
4	Rice-Uspenskii’s theorem. Compression theorem.
5	Polynomial time. The class NP
6	Reductions, completeness, satisfiability. Cook-Levin theorem
7	Space complexity. Savitch theorem
8	Midterm
9	Randomized computation
10	Average case complexity
11	Smoothed complexity
12	Interactive proofs. PCP theorem
13	Non-approximability reductions
14	Kolmogoroff complexity

Prerequisite(s):
Textbook:	Arora-Barak: Computational Complexity. Cambridge University Press, ISBN-13: 9780521424264
Other References:
Laboratory Work:	Yes
Computer Usage:	Yes
Others:	No

COURSE LEARNING OUTCOMES

1	Analyze and develop an ability to develop and implement appropriate algorithms or prove that the problem that is given has no algorithm or has no fast algorithm.

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Master of Science in Computer Engineering (2 years) Program
1	Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.
2	Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situations
3	Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.
4	Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies.
5	Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions.
6	Ability of identifying the potential resources for information or knowledge regarding a given engineering issue.
7	The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence.
8	Ability for effective oral and official communication skills in foreign language.
9	Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology.
10	Engineering graduates with well-structured responsibilities in profession and ethics.
11	Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues.
12	Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity.

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Midterm Exam(s)	1	40
Quiz	2	10
Final Exam	1	40
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	5	80
Hours for off-the-classroom study (Pre-study, practice)	16	5	80
Mid-terms	1	12	12
Assignments			0
Final examination	1	15.5	15.5
Other			0
Total Work Load:			187.5
Total Work Load/25(h):			7.5
ECTS Credit of the Course:			7.5