A little help with vector calculus

Thread starter ibungo
Start date Feb 28, 2013
Tags

Calculus Vector Vector calculus

In summary, vector calculus is a branch of mathematics that deals with the study of vector fields. It has various applications in physics, engineering, and other fields such as fluid mechanics, electromagnetism, and computer graphics. The basic operations in vector calculus include addition, subtraction, scalar multiplication, dot product, cross product, and differentiation and integration of vector functions. It differs from regular calculus in that it deals with objects that have both magnitude and direction and involves operations like dot product and cross product. Useful tools for learning vector calculus include textbooks, online resources, and software programs like Wolfram Alpha. A strong understanding of calculus and linear algebra is also beneficial for studying vector calculus.

Feb 28, 2013

ibungo

How can I describe electric fields and equipotential surfaces using Vector calculus?? HELP...

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Feb 28, 2013

HallsofIvy

Science Advisor

Homework Helper

First that is not a mathematics question, it is a physics question so you would be better posting it in a physics sub-forum.

Second, it is far too broad. There are whole chapters of physics texts devoted to it.

1. What is vector calculus?

Vector calculus is a branch of mathematics that deals with the study of vector fields, which are quantities that have both magnitude and direction. It involves the application of calculus to vectors, which are quantities that have both magnitude and direction.

2. What are some applications of vector calculus?

Vector calculus has various applications in physics, engineering, and other fields. Some examples include fluid mechanics, electromagnetism, and computer graphics.

3. What are the basic operations in vector calculus?

The basic operations in vector calculus include addition, subtraction, scalar multiplication, dot product, cross product, and differentiation and integration of vector functions.

4. How is vector calculus different from regular calculus?

Vector calculus deals with objects that have both magnitude and direction, while regular calculus deals with objects that have only magnitude. Vector calculus also involves operations such as dot product and cross product that are not present in regular calculus.

5. What are some useful tools for learning vector calculus?

Some useful tools for learning vector calculus include textbooks, online resources, and software programs such as Wolfram Alpha. It is also helpful to have a strong understanding of calculus and linear algebra before studying vector calculus.