Akademik Dersler - İçerik

explain basic concepts about mathematics.
explain real numbers and real line, intervals, the absolute value,equations and inequalities involving absolute values,cartesian coordinates in the plane. incerements and distances.
express straight lines, equations of lines.
express graphs of quadratic equations.
explain functions, the domain convention and range, graphs of functions.
explain foundations of analyses according to limit and integration.
describe limits of sequences.
explain limits of functions, sequences and cauchy definitions.
recognize infinity smools and large, operations with them.
express features of limits of functions.
explain basis of continuous functions.
recognize and explain the theorems about zero, interval value and extremum value of continuous functions.
solve some examples.
finds the equation of the straight line tangent to a given curve at a point
finds solutions of initial value problems
interprets the mean value theorem geometrically.
express basis of derivation.
express differentations rules.
express the mean-value theorem.
recognize high-order derivations.
apply the concept of derivative to related rates and extreme value problems and sketch the graph of a function.
solves the related-rates problems
finds extreme values of a function
determines the intervals of concavity of a function.
sketches the graph of a function.
finds the linear approximation of a function at a given point.
evaluates indeterminate forms.
finds the Taylor polynomial of a function at a point.