Mathematics I

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.