Subject competencies (Learning outcomes) Study programme competences
Get familiar with calculus language A1
B1
B2
To understand the main characteristics of the formulation of a mathematical problem using the tools of the inifinitesimal calculus. A1
A5
B10
To be able to evaluate the difficuylty of a problem and to choose the most suitable technique among the studied ones to carry on its solution. Have a good predisposition for problem solving A1
B2
C6
To be able to use the bibliography and the available IT tools to find the necessary information for solving a given problem B1
B4
C3
C6
To know the underlying geometrical meaning of the studied mathematical formalism. To be able to represent sets in the plane and in the three dimensional space using different coordinates systems A1
A5
B2
To obtain a basic knowledge of functions of several variables: level sets, limits, continuity A1
A5
B2
B3
B10
To understand the importance of partial derivatives and their relation to instantaneous variation of a magnitude (phisical, chemical, economical) and to asses their utility for the correct mathematical formulation of problems in engineering A1
B2
B3
To understand the meaning of integrals and their usage for the formulation of several problems in engineering. To know how to apply integral for the computation of areas of plane figures, areas of a surface of revolution and solid volumes. A1
B2
B3
B4
B10