Title:  Algorithms 

Code:  IAL 

Ac.Year:  2005/2006 

Term:  Winter 

Curriculums:  

Language:  Czech, English 

Credits:  5 

Completion:  credit+exam (written) 

Type of instruction:  Hour/sem  Lectures  Sem. Exercises  Lab. exercises  Comp. exercises  Other 

Hours:  39  0  0  0  13 

 Examination  Tests  Exercises  Laboratories  Other 

Points:  50  15  0  0  35 



Guarantee:  Honzík Jan M., prof. Ing., CSc., DIFS 

Lecturer:  Honzík Jan M., prof. Ing., CSc., DIFS 
Instructor:  Křena Bohuslav, Ing., Ph.D., DITS Lukáš Roman, Ing., Ph.D., DIFS 

Faculty:  Faculty of Information Technology BUT 

Department:  Department of Information Systems FIT BUT 

Prerequisites:  

Followups:  

Substitute for:  

 Learning objectives: 

  To acquaint with the principles of methods of proving of correctness of programs and with basic concepts of construction of proved programms. To learn the fundamentals of algorithm coplexity. To learn the principles of dynamic memory allocation. To acquaint with basic abstract data types and to command its implementation and exploitation. To learn and command recursive and non recursive notation of basic algorithms. To overrule the implementation and analysis of most used algorithms for searching and sorting.  Description: 

  Overview of fundamental data structures and their exploitation. Principles of dynamic memory allocation. Specification of abstract data types (ADT). Specification and implementation of ADT's: lists, stack and its exploitation, queue, set, array, searching table, graph, binary tree. Algorithms upon the binary trees. Searching: sequential, in the ordered and in not ordered array, searching with the guard (sentinel), binary search, search tree, balanced trees (AVL). Searching in hashtables. Ordering (sorting), principles, sorting without the moving of items, sorting with multiple keys. Most common methods of sorting:Selectsort, Bubblesort, Heapsort, Insertsort a jeho varianty, Shellsort, recursive and nonrecursive notation of the Quick sort, Mergesort,Listmergesort, Radixsort. Recursion and backtrack algorithms. Searching the patterns in the text. Proving of correctness of programs, construction of proved programs.  Knowledge and skills required for the course: 

 
 Basic knowledge of the programming in procedural programming language
 Knowledge of secondary school level matematics
 Subject specific learning outcomes and competences: 

 
 Student will acquaint with the methods of proving of correctness of programs and with construction of proved programms and learn their significance.
 Student will learn the fundamentals of algorithm coplexity and their intention.
 He/she acquaints with basic abstract data types and to commands its implementation and exploitation.
 Student will learn the principles of dynamic memory allocation.
 He/she learns and commands recursive and non recursive notation of basic algorithms.
 Student overrules the implementation and analysis of most used algorithms for searching and sorting.
 Generic learning outcomes and competences: 

 

Student learns terminology in Czech ane English language

Student learns to participate on the small project as a member of small team

Student learns to present and defend the results of the small project  Syllabus of lectures: 


 Overview of data structures. Abstract data type and its specification.
 Specification, implementation and exploitation of ADT list.
 Specification, implementation and exploitation of ADT stack, queue. Numeration of expressions with the use of stack.
 ADT array, set, graph, binary tree.
 Algorithms upon the binary tree.
 Searching, sequential, in the array, binary search.
 Binary search trees, AVL tree.
 Hashingtables.
 Ordering (sorting), principles, without movement, multiple key.
 Most common methods of sorting of arrays, sorting of files.
 Recursion, backtracking algorithms.
 Proving the programs, costruction of proved programmes.
 Syllabus  others, projects and individual work of students: 


 Two home assignments
 Project with a minidefence for a team of students.
 Fundamental literature: 


 Honzík, J., Hruška, T., Máčel, M.: Vybrané kapitoly z programovacích technik, Ed.stř.VUT Brno,1991.
 Knuth, D.: The Art of Computer programming, Vol.1,2,3. Addison Wesley, 1968
 Wirth, N.: Alorithms+Data Structures=Programs, Prentice Hall, 1976
 Horovitz, Sahni: Fundamentals of Data Structures.
 Amsbury, W: Data Structures: From Arrays to Priority Cormen, T. H., Leiserson, Ch.E., Rivest, R.L.: Introduction to Algorithms.
 Aho A.V., Hoppcroft J.E., Ullman J.D.: Data Structures and Algorithms.
 Kruse, R.L.: Data Structures and Program Design. Prentice Hall,Inc. 1984
 Baase, S.: Computer Algorithms  Introduction to Design and Analysis. Addison Wesley, 1998
 Study literature: 


 Honzík, J., Hruška, T., Máčel, M.: Vybrané kapitoly z programovacích technik, Ed.stř.VUT Brno,1991.
 Knuth, D.: The Art of Computer programming, Vol.1,2,3. Addison Wesley, 1968
 Wirth, N.: Alorithms+Data Structures=Programs, Prentice Hall, 1976
 Horovitz, Sahni: Fundamentals of Data Structures.
 Amsbury, W: Data Structures: From Arrays to Priority Queues.
 Cormen, T. H., Leiserson, Ch.E., Rivest, R.L.: Introduction to Algorithms.
 Aho A.V., Hoppcroft J.E., Ullman J.D.: Data Structures and Algorithms.
 Kruse, R.L.: Data Structures and Program Design. Prentice Hall,Inc. 1984
 Baase, S.: Computer Algorithms  Introduction to Design and Analysis. Addison Wesley, 1998
 Progress assessment: 

 
 Evaluated home assignments  20 points
 Midterm written examination  15 point
 Evaluated project with the defense  15 points
 Final written examination  50 points
 Exam prerequisites: 

 
 to earn min. 20 points within the semester
 
