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Tag Archives for "Multivariable Calculus"

How to use Stokes’ Theorem

Stokes’ Theorem is about tiny spirals of circulation that occurs within a vector field (F). The vector field is on a surface (S) that is piecewise-smooth. Additionally, the surface is bounded by

How to Use the Gradient Theorem of Line Integrals

The goal of this article is to introduce the gradient theorem of line integrals and to explain several of its important properties. In the first section, we will present a short interpretation of v

How to Use the Divergence Theorem

In this review article, we’ll give you the physical interpretation of the divergence theorem and explain how to use it. After you practice our examples, you’ll feel confident operating

How to Apply the Cross Product Formula in Multivariable Calculus

In vector calculus, the cross product of two vectors is a special operation that gives a new vector perpendicular to both initial vectors. The cross product has many applications in multivariable c

How to Use Cylindrical Coordinates in Multivariable Calculus

If you are reading this review article, then you will have probably worked through the topic of polar coordinates. Cylindrical coordinates are the equivalent of polar coordinates in three-dimension

How to Use the Root Test in Calculus II

This review article will bring you up to speed with the fundamentals of the root test, how it is used and provide examples for you to work through.