Course detail

# Algorithms (in English)

FIT-IALeAcad. year: 2019/2020

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 hash-tables. Ordering (sorting), principles, sorting without the moving of items, sorting with multiple keys. Most common methods of sorting: Select-sort, Bubble-sort, Heap-sort, Insert-sort a jeho varianty, Shell-sort, recursive and non-recursive notation of the Quick sort, Merge-sort, List-merge-sort, Radix-sort. Recursion and backtrack algorithms. Searching the patterns in the text. Proving of correctness of programs, construction of proved programs.

Learning outcomes of the course unit

• 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.

• 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

Prerequisites

• Basic knowledge of the programming in procedural programming language. BASIC COMPETENCES AND KNOWLEDGE FROM PROGRAMMING (C-language, Pascal or others) WILL BE EXAMINED AT THE BEGINNING OF THE COURSE. FAILING WILL LEAD TO CANCELING THE ENROLED COURSE IAL !!!
• Knowledge of secondary school level mathematics.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

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
Sedgewick,R.:Algoritmy v C. (Základy. Datové struktury. Třídění. Vyhledávání.) Addison Wesley 1998. Softpress 2003.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

• Two evaluated  home assignments - 25 points
• Mid-term written examination - 14 point
• Final written examination - 51 points
• Attendance at lectures - 10 points

Exam prerequisites:
• to earn min. 15 points within the semester
• Plagiarism and not allowed cooperation will cause that involved students are not classified and disciplinary action can be initiated.

Language of instruction

English

Work placements

Not applicable.

Aims

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.

Classification of course in study plans

• Programme IT-BC-1H Bachelor's

branch BCH , any year of study, winter semester, 5 credits, recommended

#### Type of course unit

Lecture

39 hours, optionally

Teacher / Lecturer

Syllabus

• 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.
• Hashing-tables.
• 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.

Projects

13 hours, compulsory

Teacher / Lecturer

Syllabus

• Two home assignments

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