Multivariable Calculus

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...

Computer Algebra Systems in a Multivariable Calculus Course and Center of Gravity Problems

In teaching a multivariable calculus course, two main difficulties facing the student are to draw surfaces in three-dimensions, and to setup and calculate tedious triple integrals. The added third dimension causes great difficulty even to the well prepared student who has successfully finished a two semester single variable calculus course. The student must now suddenly think in three-dimension...

Multivariable Advanced Calculus

Multivariable Calculus, Applications and Theory