Mathematical and Statistical Methods in Cartography

Major: Space Monitoring of the Earth
Code of subject: 7.103.01.E.025
Credits: 5.00
Department: Cartography and Geospatial Modelling
Lecturer: Ph.D., Associate Professor Brydun Andrii
Semester: 2 семестр
Mode of study: денна
Learning outcomes: • Solve problems in cartography with fundamentals of mathematical logic; • Basics of set theory to applied problems; • Mark the basis of the theory for solving the set of applications specialty; • Basics of graph theory to solve application problems and geometric; • Be able to carry geometric estimate of calculation; • Be able to conduct analysis and construction of efficient algorithms for solving logical geometrics and applications.
Required prior and related subjects: • Higher mathematics. • Digital Cartography. • Geoinformation Mapping. • Cartographic Modelling.
Summary of the subject: Discipline "mathematical and statistical methods Maker" - the use of simple and special mathematical tools in cartography. The use of systemic modeling in cartography and its application to the development of specific applications. Logic, basics of set theory, fuzzy set theory and graphs with other disciplines fundamental direction form the basis of modern mathematics education specialist in cartography. The main topics of the discipline is "Logic", "Fundamentals of set theory", "Graph theory", "Diffused set."
Assessment methods and criteria: • Work on practical exercises, verbal interviews, performance work (40%). • Final control (differentiated credit), written and verbal forms (60%).
Recommended books: 1. Нікольський Ю.В. Дискретна математика / Нікольський Ю.В., Пасічник В.В., Щербина Ю.М. – К.: Видавнича група BHV, 2007. – 368с. 2. Л. Є. Бизилевич Дискретна математика у прикладах і задачах [Текст] : підручник / Л. Є. Бизилевич. - Л. : Чижиков І. Е. [вид.], 2013. – 486 с. ISBN 978-966-2645-09-5 3. Андерсон Дж. Дискретная математика и комбинаторика: [пер. с англ.] / Джеймс Андерсон – М.: Вильямс, 2004. – 960с.