Course detail

Algorithms

FIT-IAL Acad. year: 2021/2022 Winter semester

Overview of fundamental data structures and their exploitation. Specification of abstract data types (ADT). Specification and implementation of ADT's: lists, stack and its exploitation, queue, 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 and variants, 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. Graph algorithms. Dynamic programming. Proving of the correctness of programs, construction of proved programs.

5 ECTS credits represent approximately 125-150 hours of study workload:

  • 39 hours of lectures
  • 26 hours for two home assignments
  • 35 hours of project work
  • 20 hours of continual study
  • 30 hours of study for the midterm and final examination

 

Language of instruction

Czech

Number of ECTS credits

5

Supervisor

prof. Ing. Jan M. Honzík, CSc.

Department

Department of Information Systems

Learning outcomes of the course unit

  • The student will acquaint with the methods of proving of the correctness of programs and with the construction of proved programs and learn their significance. 
  • The student will learn the fundamentals of algorithm complexity and their intention. 
  • He/she acquaints with basic abstract data types and to commands its implementation and exploitation. 
  • 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.

  • The student learns terminology in Czech and English language
  • The student learns to participate on the small project as a member of a small team
  • Student learns to present and defend the results of the small project

Prerequisites

  • Basic knowledge of the programming in C programming language
  • Knowledge of secondary school level mathematics

Assesment methods and criteria linked to learning outcomes

  • Home assignments – 20 points
  • Mid-term written examination – 14 point
  • Evaluated project with the defence – 15 points
  • Final written examination – 51 points; The minimal number of points which can be obtained from the final written examination is 24. Otherwise, no points will be assigned to a student.

Aims

The student will learn the fundamentals of algorithm complexity and will be able to use gained knowledge in the design of programmes. Student acquaints with basic abstract data types and to command its implementation and exploitation. The student learns and commands recursive and non-recursive notation of basic algorithms and will be able to use gained knowledge in the design of programmes. Student understands the implementation and analysis of most of the used algorithms for searching and sorting. The student will learn the selected graph algorithms, the dynamic programming and the basic concepts of construction of proved programs (Dijkstra).

Specification of controlled education, way of implementation and compensation for absences

In case of illness or another serious obstacle, the student should inform the faculty about that and subsequently provide the evidence of such an obstacle. Then, it can be taken into account within evaluation:

  • The student can ask the responsible teacher to extend the time for the home assignment.
  • If a student cannot attend the mid-term exam, (s)he can ask to derive points from the evaluation of his/her first attempt of the final exam. To enter the final exam in this case, at least 14 points from home assignments and project are required.
  • If a student cannot attend the defense of the project and the other team members agree with that (s)he can earn the same points from the project defence as for present members.

The study programmes with the given course

Programme B-MAI-P: Mathematical Engineering, Bachelor's, elective

Programme IT-BC-3: Information Technology, Bachelor's
branch BIT: Information Technology, compulsory

Programme BIT: Information Technology, Bachelor's
specialization BITP: Information Technology, compulsory

Type of course unit

 

Lecture

39 hours, optionally

Syllabus

  1. Overview of data structures. Abstract data type and its specification.
  2. Specification, implementation and exploitation of the ADT list.
  3. Specification, implementation and exploitation of ADT stack, queue. Numeration of expressions with the use of the stack.
  4. ADT array, set, graph, binary tree.
  5. Algorithms upon the binary tree.
  6. Searching, sequential, in the array, binary search.
  7. Binary search trees, AVL tree.
  8. Hashing-tables.
  9. Ordering (sorting), principles, without movement, multiple key.
  10. Most common methods of sorting of arrays – beginning.
  11. Most common methods of sorting of arrays – continuation, sorting of files.
  12. Recursion, backtracking algorithms.
  13. Proving the programs, construction of proved programs.

Project

13 hours, compulsory

Syllabus

  • Two home assignments
  • Project with a mini-defence for a team of students.