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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS CSE 5041 THEORY OF COMPUTER SCIENCE ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR YALÇIN ÇEBI

Offered to

Computer Engineering (Non-Thesis-Evening) (English) Computer Engineering Non-Thesis (English) Computer Engineering (English) Computer Engineering (English) COMPUTER ENGINEERING (ENGLISH)

Course Objective

This course introduces students to theoretical foundations of computing.

Learning Outcomes of the Course Unit

1   Identify classes of languages and machines 2   pecify solvable and unsolvable computational problems 3   Draw out limits on algorithmic performance of known solutions to classes of computational problems, 4   Classify computational problems into complexity classes 5   Develop and use Approximation Algorithms and Probabilistic Algorithms as practically acceptable solutions to engineering problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Mathematical Basis: Notation, Sets, Languages, Formal Logic and Arithmetic 2 Regular Languages, Regular Expressions and Finite Automata 3 Non-Regular Languages and Pumping Lemma 4 Context-Free Languages and Pushdown Automata 5 Unrestricted Grammars and Turing Machines 6 The Church-Turing Thesis 7 Decidability, The Halting Problem 8 Reducability 9 The Recursion Theorem, Decidability of Logical Theories, A Definition of Information 10 Primitive Recursive Functions 11 Mu-Recursive Functions 12 Theory of Computational Complexity 13 Approximate Algorithms 14 Probablistic Algorithms

Recomended or Required Reading

Textbook(s): Sipser, Michael. Introduction to the Theory of Computation. 2nd ed. Boston, MA: Thomson Course Technology, 2006. ISBN: 0534950973. Supplementary Book(s): Sudkamp, Thomas A. Languages and Machines, Addison-Wesley, 1988. References: Materials: Lecture Notes,problem sets.

Planned Learning Activities and Teaching Methods

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 ASG ASSIGNMENT 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE * 0.30 +ASG * 0.20 +FIN * 0.50 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Department of Computer Engineering Tinaztepe Campus 35390 BUCA/IZMIR Tel: +90 (232) 301 74 01

Office Hours

TBA in the first lecture

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 3 42 Preparations before/after weekly lectures 14 5 70 Preparation for final exam 1 30 30 Preparation for midterm exam 1 15 15 Preparing assignments 1 30 30 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 191

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 LO.1 2 3 LO.2 2 5 LO.3 4 5 3 LO.4 5 LO.5 4 5 4