Algorithms for Engineering Informatics

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Instrumentation and Control Engineering

Synopsis:

Big-O notation. Algorithms with numbers - cryptography, universal hashing, divide-and-conquer algorithms, recurrence relations, the fast Fourier transform. Sorting algorithms - mergesort, insert sort, selection sort, heap sort, quick sort. Graphs - depth-first search in undirected graph, depth-first 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, Horn formulas.

Requirements:

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:

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 - mergesort, insert sort, selection sort, heap sort, quick sort.

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.

Search in text - terminology, Hamming distance, trivial algorithm, KMP.

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.

Note:

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: