Upon completing the course, students learn the following skills. They are able to
- explain mathematical problems and concepts as well as mathematical proofs (k2);
- independently develop mathematical solutions and proofs of mathematical problems in the field of analysis of a single variable (k3);
- apply concepts and problem-solving strategies to new and unfamiliar questions, selecting and using appropriate mathematical methods (k3/k4);
- present their solutions to the group and discuss different approaches (k3/k4).
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During the course, students acquire knowledge in analysis of a single variable:
- sets, relations and functions;
- numbers;
- metric spaces;
- convergence and limit values of sequences and series;
- continuity;
- minima and maxima of functions;
- differentiation of functions of a single real variable;
- power series and Taylor's theorem;
- Riemann integral.
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