Applied Mathematics

Course Code:
11APM
Academic Degree:
doctoral
Study Programme:
Technology in Transportation and Telecommunications (P 3710)
languagestudy field / specialization
czech, englishD Transportation Systems and Technology - 3708V009
czech, englishP Air Traffic Control and Management - 3708V017
czech, englishT Technology and Management in Transportaion and Telecommunications - 3708V024
Form of Study:
full-time and part-time
Type of Course:
obligatory
Course Completion:
exam
Course Supervisor:
doc. Ing. Ivan Nagy, CSc.
Supervising Department:
Department of Applied Mathematics (16111)
Abstract:
Descriptive statistics. Probability, conditional probability, Bayes theorem. Random variable, random vector, joint and marginal probability distribution, independence. Some discrete and continuous distributions. Mixed distributions. Finite mixture of distributions. Point estimation. Interval estimation. Hypothesis testing. Regression and correlation analysis. Simple graphs, multigraphs, labeled graph, planar graph, Euler´s formula. Four-color problem. Euler Circuit, Hamilton circuit and directed graphs. Algorithms for finding distances in digraphs - Dijkstra´s algorithm. Weighted graphs, shortest paths and minimal spanning trees. A depth first spanning tree, a breadth first spanning tree. Adjacency matrices. Flows in networks, Ford-Fulkerson´s algorithm.