Akademik Dersler - İçerik

explain the fundamental mathematical concepts such as set, relation and function.
operate with sets and judge if a set it is countable or uncountable.
explain the concept of relation on a set.
express the notions of function, inverse function and composite function.
explain the notion of series and sequence.
decides whether a sequence divergent of convergent.
describes the notion of convergence.
expresses the meaning of an infinite sum.
exemplifies types of sequences and series.
applies the sequences and series to real life problems.
explain the limit and the continuity of a function.
defines limit and continuity at a point.
characterizes the limit and continuity by sequences.
explains the differences between limit and continuity.
expresses the properties of continuous function defined on compact intervals.
applies the concepts of sequences and series to functions.
computes the radii of convergence of power series.
use derivative to determine the properties of a function.
expresses the derivative at a point.
explains the relations between tangent line and derivative at a point.
determines the intervals on which a function is decreasing or increasing.
calculates maximum and minimum values of a function.
applies derivatives to real life problems.
lists the fundamental theorems of derivation.
sketches the graphs of functions.
expresses some special functions in mathematics by defining their fundamental properties.
defines exponential and logaritm function.
defines the general exponent of a real number.
describes trigonometric and hyperbolic functions.