Understanding the key topics and problems of Mathematical Analysis. Also it is necessary to develop many skills between abstract entities according to certain rules and apply it into Geodesy. Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.
Understand mathematical methods and physical laws applied in geodesy and geoinformatics.
Apply knowledge of mathematics and physics for the purpose of recognizing, formulating and solving of problems in the field of geodesy and geoinformatics.
Exercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.
Take responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines,and for the development of interest in lifelong learning and further professional education.
-Define and implement the tasks terms of mathematical logic, sets, sets of numbers and mathematical induction
- Define, analyze and relate the concepts and properties of real functions of a real variable, as well as terms related to a sequences (limit of a sequence, limit of a function)
- Define and apply the concepts tasks derivatives, indefinite and definite integrals
- Define and apply the concepts tasks series of numbers, functional series and power series, as a Taylor series expansion and Mac Lauren series
- Define, analyze and apply the tasks terms of functions of several variables, as well as Taylor and Maclaurin series for two variables, and to determine the extreme values of functions of two variables
- Define the term and solve differential equations method of separation of variables