Efficient Algorithms

Lecturer:

Pavel Tvrdík (gar.)

Tutor:

Jiří Chludil, Petr Matyáš

Supervisor:

Department of Computer Science

Synopsis:

Students get an overview of efficient algorithms and data structures for solving classical algorithmic problems, such as searching and sorting, on dynamically changing data sets. Students are able to design and implement such algorithms, to use methods for analysing their computational and memory complexity. They understand the sorting algorithms with O(n.log n) time complexity, special sorting algorithms with linear complexity, algorithms for associative and address searching. They are able to use the efficient dynamic data structures, such as hash tables, search trees, balanced search trees, heaps, B-trees, and others. They are able to work with recursive algorithms and dynamic programming.

Requirements:

An ability to solve basic algorithmic problems actively, to express the algorithmic solution in a high-level programming language (Java, C++), and knowledge of basic notions from calculus and combinatorics is assumed.

Syllabus of lectures:

1. Data structures I: Fundamental ADTs.

2. Data structures II: Hash tables.

3. Sorting algorithms I.

4. Data structures III: Trees, heaps.

5. Sorting algorithms II.

6. Data structures IV: Advanced heaps.

7. Searching and search trees.

8. Recursive algorithms.

9. B-trees and their variants.

10. Balanced search trees.

11. Dynamic programming.

12. Computational geometry algorithms.

Syllabus of tutorials:

1. Algorithms on arrays, multidimensional arrays and mapping functions. mathematics.

2. ADT stack, queue, list.

3. ADT table, set.

4. Hash tables.

5. Basic sorting algorithms.

6. Trees and binary heaps.

7. Sorting algorithms II.

8. Binomial and Fibonnaci heaps.

9. Searching and binary search trees.

10. Recursive algorithms.

11. B-trees.

12. Balanced search trees.

13. Dynamic programming.

Study Objective:

The goal of the course is to equip the student with a set of well-known standard algorithms and to help him/her recognize a proper algorithm variant for any specific usage. At the same time, the student will learn basic methods of algorithm analysis to be used as a main efficiency criterion.

Study materials:

Cormen, T. H., Leiserson, C. E., Rivest, R. L. Introduction to Algorithms. The MIT Press, 2001. ISBN 0262032937.

Note:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue	roomT9:155 Tvrdík P. 09:15–10:45 (lecture parallel1) Dejvice Posluchárna
Fri	roomT9:347 Chludil J. 12:45–14:15 (lecture parallel1 parallel nr.103) Dejvice NBFIT učebnaroomT9:347 Chludil J. 14:30–16:00 (lecture parallel1 parallel nr.104) Dejvice NBFIT učebnaroomT9:344 Chludil J. 16:15–17:45 (lecture parallel1 parallel nr.101) Dejvice NBFIT ucebnaroomT9:344 Chludil J. 18:00–19:30 (lecture parallel1 parallel nr.102) Dejvice NBFIT ucebna
Thu	roomT9:346 Matyáš P. 12:45–14:15 (lecture parallel1 parallel nr.105) Dejvice NBFIT učebnaroomT9:302 Matyáš P. 14:30–16:00 (lecture parallel1 parallel nr.106) Dejvice NBFIT učebnaroomT9:347 Matyáš P. 16:15–17:45 (lecture parallel1 parallel nr.107) Dejvice NBFIT učebnaroomT9:347 Matyáš P. 18:00–19:30 (lecture parallel1 parallel nr.108) Dejvice NBFIT učebna
Fri

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• Computer Science, Version for Students who Enrolled in 2009 and 2010, Presented in Czech (compulsory course of the specialization)
• Software Engineering, Version for Students who Enrolled in 2009 and 2010, in Czech (compulsory course of the specialization)
• Information Systems and Management, Version for Students who Enrolled in 2009 and 2010, in Czech (VO)
• Informatics, Version for Students who Enrolled in 2009 and 2010, Presented in Czech (VO)
• Informatics (Bachelor)- Version for those who Enrolled in 2011 and 2012 (in Czech) (VO)
• Information Systems and Management - Version for those who Enrolled in 2011 and 2012 (in Czech) (VO)
• Software Engineering- Version for those who Enrolled in 2011 and 2012 (in Czech) (compulsory course of the specialization)
• Computer Science - Version for those who Enrolled in 2011 and 2012 (in Czech) (compulsory course of the specialization)