### Functions - Theory

- Sets and mappings: basic
set theory, mappings, number sets, intervals.
- Real functions: basic
properties, operations and transformations, continuity, monotonicity and
local extrema, concavity and inflection points, uniform continuity.
- Elementary functions.
- Limit of a function:
definition, basic properties, methods of evaluation, asymptotes;
for practical approach to evaluating limits see
Methods Survey.
- Implicit and parametric
functions.