230-0404 – Mathematics I (MI)

Mathematics is an organic part of studies at technical universities. However, it should not be seen as a goal, but as a necessary means to study professional subjects. The goal of the subject is therefore to teach students not only basic mathematical knowledge, procedures and methods, but also to deepen their logical thinking. Students should learn to analyze a problem, distinguish the essential from the unimportant, propose a solution procedure, check the individual steps of the solution, generalize the conclusions made, evaluate the correctness of the results in relation to the specified conditions, apply tasks to solve technical problems, understand that mathematical methods and thought processes are applicable elsewhere than only in mathematics.

After completing the course, the student will explain and critically assess the three basic parts of university mathematics - differential calculus, linear algebra and analytical geometry. They will be able to use the acquired knowledge and procedures not only in the subsequent study of university mathematics, but also in professional subjects. The student is able to analyze and use the acquired requirements when solving application problems. The student is able to independently use the derivatives of a real function of one real variable, choose an appropriate procedure for solving systems of linear equations, and professionally justify and defend the solution of metric and positional problems in Euclidean three-dimensional space. In addition to these acquired competencies, the student is able to deepen his logical thinking, analyze the problem, distinguish the essential from the unessential, propose a solution procedure, check individual steps of the solution, generalize the conclusions drawn, evaluate the correctness of the results with respect to the specified conditions, apply tasks to solving technical problems, understand that mathematical methods and thought processes are applicable in other areas than just mathematics.

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3. http://mdg.vsb.cz/portal/en/Mathematics1.pdf Trench, W.F.: Introduction to real analysis, Free Edition 1.06, January 2011, ISBN 0-13-045786-8.

Moore,C: Math quations and inequalities, Science & Nature, 2014. Jain, P.K.:A Textbook of Analytical Geometry of Three Dimensions,New Age International Publisher,1996. Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1. Leon, S., J.: Linear Algebra with Aplications, Macmillan Publishing Company, New York, 1986, ISBN 0-02-369810-1.