Abstract: We consider an approach allowing conversion of surface integrals (over planar surface elements) to line integrals with nonsingular integrand, in evaluating matrix elements of ...

This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...

We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after ...

This unit extends elementary calculus to vector-valued functions of several variables to the point where the major theorems (Green's, Stokes' and the divergence theorem) can be presented. The emphasis ...

Abstract: This chapter provides representation of Rao‐Wilton‐Glisson (RWG) basis functions as superposition of ramp functions and shape functions. It scalarizes the method of moments (MoM) ...

Week 5 (Sept 30 - Oct 4) Triple Integrals, Change of Variables for 2 and 3 Variables, Strategies for Determining Change of Variables (Double Integrals) Week 6 (Oct 7 - 11) Double Integrals in Polar ...

In this video, we explore line integrals in polar coordinates, a key concept in mathematical physics. I’ll guide you through how to set up and evaluate line integrals in polar systems, including ...