Algorithms for Engineering Informatics
- Department of Instrumentation and Control Engineering
Basic introduction into Java (tasks can be solved in any language). Algorithms with numbers - Divide-and-conquer algorithms, Recurrence relations, the fast Fourier transform. Big-O notation. Sorting algorithms - Bubble sort, Insert sort, Selection sort, Heap sort, Quick sort, Mergesort. Graphs - Depth-fit search in undirected graph, Depth-fit search in directed graphs, Strongly connected components. Paths in graphs - Distances, Breadth-first search, Lengths on edges, Dijkstra's algorithm, Priority queue implementations, Shortest paths in the presence of negative edges, Shortest paths in dags. Greedy algorithms - Minimum spanning trees, Huffman encoding.
The course strongly assumes prior knowledge on level of course Algorithms 1.
For the Exams: knowledge prescribed in lectures. The exam has a practical and oral parts. The practical part of the exam - write and debug a simple program on given task.
For Assessment, the student receies three tasks to program.
- Syllabus of lectures:
Introduction into Java programming (all examples in Java).
Theory of algorithms. Complexity of algorithms. Big-O notation.
Mathematical algorithms - multiplication of two matrices, the greatest common divisor, the least common multiple ( LCM ) , Euclid's algorithm.
Factorial, recursion, factorization.
Divide-and-conquer algorithms, recurrence relations, the fast Fourier transform.
Sorting algorithms - bubble sort, combo sort, insert sort, selection sort, heap sort, quick sort, mergesort. Counting sort.
Data structures, linked lists (stack, circular queue), trees (binary, AVL, red-black; B-trees).
Graphs and graph algorithms - terminology, notation , theory, breadth-first search , BFS, depth-first search , DFS, minimum spanning tree.
Paths in graphs - distances, breadth-first search, lengths on edges, Dijkstra's algorithm, priority queue implementations, shortest paths in the presence of negative edges, shortest paths in dags. Greedy algorithms - minimum spanning trees, Huffman encoding, Horn formulas.
Cryptography - historical ciphers, search primes, factorization, symmetric ciphers.
- Syllabus of tutorials:
Introduction into running applications in 308 laboratory, students' accounts, students will be submitted 3 practical excercises to solve.
Simple application. Constants. Simple types, structured types incl. arrays, records, sets, files. Variables. Basics of programming language.
Sorting. Handling events and exceptions.
Printing from Java applications, I/O operations.
Dynamic data structures: stack, queue, linked list, tree.
Binary tree, AVL tree, B-tree.
- Study Objective:
This subject introduces advanced programming skills and algorithms.
Teaching is focused more practically, on the application of algorithms in solving engineering problems. Examples are presented in the language Java.
- Study materials:
Study materials including lecture slides and preparations are provided by lecturer.
- Further information:
- ???? katedrální stránka předmětu http://www.compileonline.com
- No time-table has been prepared for this course
- The course is a part of the following study plans: