Akademik Dersler - İçerik

describe the definite integral and construct antiderivatives using the Fundamental Theorem of Calculus.
express the area as a limit of a infinite sum.
find antiderivatives of polynomials, exponantial maps, selected trigonometric functions and linear combinations of these functions.
solve integrals using by properties of the
compute indefinite and definite integrals using by techniques of integration.
Compute indefinite and definite integrals using by the method of substitution.
use integration by parts to evaluate integrals.
evaluate integrals using by the inverse substitution.
calculate integrals of rationel functions.
use integration to calculate areas of regions in a plane, volumes of solids, surface areas of solids of revolution, and find mass, moments, center of mass and centroid.
evaluate improper integrals.
find areas of regions in a plane, volumes of solids, surface areas of solids of revolution.
compute mass, moments, center of mass and centroid.
determine whether a sequence (series) is convergence or not.
express concepts of sequence, series and convergence.
explain the convergence of a series.
use convergence tests for positive series.
express definition of power series.
Find Taylor and Maclaurin series of a function.
express Binom series and Binom theorem using by Taylor and Maclaurin series.
Evaluates the derivative and integral of multivariable functions.
Finds the limit of multivariable functions.
Calculates the partial derivative of multivariable functions.
Applies the chain rule to multivariable functions.
Calculates directional derivative and gradient.
Evaluates double integrals.
Employs change of variables in double integral.