TERM 1
Integration by parts
DEFINITION 1
In calculus, and more generally in mathematical analysis,
integration by parts is a theorem that relates the integral of a
product of functions to the integral of their derivative and
antiderivative.
TERM 2
Partial Fractions
DEFINITION 2
In algebra, the partial fraction decomposition or partial
fraction expansion is a procedure used to reduce the degree
of either the numerator or the denominator of a rational
function.
TERM 3
Improper Integrals
DEFINITION 3
In calculus, an improper integral is the limit of a definite
integral as an endpoint of the interva of integration
approaches either a specified real number or or or, in some
cases, as both endpoints approach limits.
TERM 4
Convergence
DEFINITION 4
In probability theory, there exist several different notions of
convergence of random variables. The convergence of
sequences of random variables to some limit random variable
is an important concept in probability theory, and its
applications to statistics and stochastic processes.
TERM 5
Divergence
DEFINITION 5
In vector calculus, the divergence theorem, also known as
Gauss's theorem or Ostrogradsky's theorem, is a result that
relates the flow (that is, flux) of a vector field through a
surface to the behavior of the vector field inside the surface.
