CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2021/2022

Algorithms

The course is not on the list Without time-table
Code Completion Credits Range Language
AE4B33ALG Z,ZK 6 2P+2C English
The course cannot be taken simultaneously with:
Algorithms (A4B33ALG)
The course is a substitute for:
Algorithms (A4B33ALG)
Lecturer:
Tutor:
Supervisor:
Department of Cybernetics
Synopsis:

In the course, the algorithms development is constructed with minimum dependency to programming language; nevertheless the lectures and seminars are based on Java. Basic data types a data structures, basic algorithms, recursive functions, abstract data types, stack, queues, trees, searching, sorting, special application algorithms, Dynamic programming. Students are able to design and construct non-trivial algorithms and to evaluate their affectivity.

Requirements:

Programming 1

Syllabus of lectures:

1. Order of growth of functions, asymptotic complexity of an algorithm

2. Recursion, recurrence, Master theorem

3. Trees, binary trees, backracking

4. Queue, graph, Depth-first and Breadth-first search in a tree and in a general graph

5. Searching in arrays, binary search trees

6. AVL trees and B-trees

7. Sorting, Insert Sort, SelectionSort, Bubble Sort, QuickSort

8. Sorting, Merge Sort, Halda, Heap Sort

9. Sorting, Radix sort, Counting Sort, Bucket Sort

10. Hashing, open and chained tables, double hashing

11. Hashing, coalesced hashing, universal hashing

12. Dynamic programming, optimal solution structure, memoization, optimal BST

13. Dynamic programming, longest common subsequence, optimal matrich chain multiplication, knapsack problem

14. Sorting multidimensional data, realistic sorting algorithms performance

Syllabus of tutorials:

1.Introductory test, repeating of the ways of program construction in development environment, examples of functions and procedures, parameters, simple classes, assignment of semester task

2.One-dimensional array processing

3.Sorting and searching in 1D array algorithms

4.Multidimensional array processing algorithms

5.Text and string algorithms

6.Experimentation with space and complexity of algorithms

7.Sequential files

8.Implementation of abstract data types

9.Recursion and iteration

11.Tree construction, tree search

13. Algorithms of linear algebra and geometry, mathematical analysis

14.Credit

Study Objective:

Semester project consists from empirical evaluation of searching and sorting algorithms, comparison of iterative and recursive algorithms and debugging of graphical output of selected algorithms of linear algebra and mathematical analysis. Three phases of supervision associated to constituted subtask of project with closing demonstration and defense

Study materials:

[1] T. H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein: Introduction to Algorithms, 3rd ed., MIT Press, 2009,

[2] S. Dasgupta, C.H. Papadimitriou, and U.V. Vazirani: Algorithms, Mcgraw-Hill Higher Education, 2006,

[3] Robert Sedgewick: Algoritms in v C, parts 1-4, Addison-Wesley Professional; 3rd edition (1997)

Note:
Further information:
http://cw.felk.cvut.cz/doku.php/courses/ae4b33alg
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2022-05-18
For updated information see http://bilakniha.cvut.cz/en/predmet12820904.html