Topics in analytical geometry and calculus including limits, rates of change of functions, derivatives and integrals of algebraic and transcendental functions, applications of differentiations and ...

Abstract: We investigate analytic solutions for three generalized integrals involving arbitrary powers, generalized Marcum Q-function, and exponential functions, which are more general than the ...

Course Description: Calculus of transcendental functions: additional techniques and applications of integration, indeterminate forms, improper integrals, Taylor’s formula, and infinite series.

Abstract: In this paper, we consider the rare-event simulation of integrals of exponential functions of smooth Gaussian random processes. In particular, we design importance sampling estimators that ...