Akademik Dersler - İçerik

define the basic concepts of mathematics
define the real number system
define the equations of straight lines, circles, parabolas, ellipses and hyperbolas in the plane
find the operation connected with functions.
explain functions, the domain convention and range, graphs of functions.
define the concepts of limit and continuity
evaluate the limit of function at a point
evaluate the limits at infinity
define the concept of continuity
express features of limits of functions.
define the concept of derivative.
calculate the derivative of a function
apply the chain rule
find the equation of the straight line tangent to a given curve at a point
find solutions of initial value problems
interpret the mean value theorem geometrically.
define the concept of inverse of a function
calculate the inverse of a given function
define the exponential and logarithmic functions
calculate the derivative of inverse function
apply the concept of derivative to the related rates, extreme values and sketching the graph of a function.
calculate the related-rates problems
find the extreme values
determine the intervals of concavity of the given function.
sketch the graph of a function.
find the linear approximation of a function at a given point.
evalutate indeterminate forms.
find the Taylor polynominal of a function at a point.