Design and Analysis of Algorithms (MAE581)

Undergraduate Courses Outlines - Department of Mathematics

General

School	School of Science
Academic Unit	Department of Mathematics
Level of Studies	Undergraduate
Course Code	MAE641
Semester	6
Course Title	Design and Analysis of Algorithms
Independent Teaching Activities	Lectures, laboratory exercises, tutorials, quiz (Weekly Teaching Hours: 3, Credits: 6)
Course Type	Special Background
Prerequisite Courses	-
Language of Instruction and Examinations	Greek
Is the Course Offered to Erasmus Students	Yes
Course Website (URL)	http://www.cs.uoi.gr/~charis/algo641/ http://ecourse.uoi.gr/course/view.php?id=538

Learning Outcomes

Learning outcomes	This course aims at introducing to students the philosophy of fundamental algorithmic background and techniques. After successfully passing this course the students will be able to: Understand basic algorithmic techniques Analyze complex algorithms Design new algorithmic tools Combine already-known techniques for solving new algorithmic problems
General Competences	Search for, analysis and synthesis of data and information, with the use of the necessary technology Working independently Team work Project planning and management.

Syllabus

• Fundamental concepts of design and analysis of algorithms
• Analysis of algorithms, Asymptotical growing functions
• Typical running times and data structures (lists, arrays, queues, stacks)
• Stable matching, correctness, priority queue
• «Divide & Conquer» technique, sorting, recursive formulations
• Graph algorithms: BFS, DFS, connectedness, topological ordering
• Greedy algorithms: interval scheduling & shortest paths (Dijkstra)
• Minimum spanning trees(Prim & Kruskal algorithms), Huffman coding
• Dynamic programming: maximum flow, interval scheduling, and Knapsack
• Further Topics: computational complexity and ΝΡ-completeness.

Teaching and Learning Methods - Evaluation

Delivery	Lectures
Use of Information and Communications Technology	Use of projector and interactive board during lectures. Course website maintenance. Announcements and posting of teaching material (lecture slides and notes, programs). Announcement of assessment marks via the ecourse platform by UOI.
Teaching Methods	Activity Semester Workload Lectures 39 Working independently 78 Team work 33 Course total 150
Student Performance Evaluation	Final written examination (70%) Design and analyze algorithms Exercises (30%) Design and analyze algorithms

Attached Bibliography

• [KT] J. Kleinberg and E. Tardos, Σχεδιασμός Αλγορίθμων, ελληνική έκδοση, Εκδόσεις Κλειδάριθμος, 2008
• [CLRS] T. Cormen, C. Leiserson, R. Rivest, and C. Stein, Εισαγωγή στους Αλγορίθμους, ελληνική έκδοση, Πανεπιστημιακές Εκδόσεις Κρήτης, 2012.
• [DPV] S. Dasgupta, C. Papadimitriou, and U. Vazirani, Αλγόριθμοι, ελληνική έκδοση,Εκδόσεις Κλειδάριθμος, 2008