- Knowing and understanding of the core elements of mathematical modelling and mathematical proofs (k1,k2)
- Formulating relationships between mathematical facts in an understandable way
- Explain and recognize basic properties of functions and relations (k2)
- Knowing the concepts of convergence and limits in real analysis (k1)
- Applying the derivation of the most important real functions (k3)
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- Basic notions of set theory
- Fundamentals of proof; proof by induction
- Specification of functions and their properties
- Numbers
- Elementary combinatorics
- Convergence of sequences of real numbers
- Limits of single-variable real functions
- Derivatives of the most important real functions
- Properties of real functions of a single variable such as extrema, monotonicity
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