Multivariable Advanced Calculus

An Introduction to Multivariable Mathematics

The text is designed for use in a 40 lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in ...

Visually assisted learning in multivariable calculus: the cases of continuity and differentiability

The objective of this article is to investigate the effects in learning advanced mathematics concepts by means of visual representation. Continuity and differentiability are the subject matters. Two Java modules are developed to yield the learning environment that provides opportunities for students to manipulate the mathematics materials represented in visual fashion. The teaching experiment m...

B : Multivariable Calculus , Second Quarter , Winter 2015

Multivariable Jacobi Polynomials via Fractional Calculus

In recent years, many works on the subject of fractional calculus contain interesting accounts of the theory and applications of fractional calculus operators in a number of areas of mathematical analysis ( such as ordinary and partial differential equations, integral equations, summation of series, etc.). The main object of this paper is to construct multivariable extension of Jacobi polynomia...

Multivariable Calculus