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Summary of Multivariable Calculus MVC Lecture 6 for MATH2310 Engineering Calculus $7.99   Add to cart

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Summary of Multivariable Calculus MVC Lecture 6 for MATH2310 Engineering Calculus

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Summary of Lecture 6 for the multivariable calculus, MVC, component of MATH2310, calculus for engineering and science, at the University of Newcastle.

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  • July 1, 2023
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MATH2310 – MVC Lecture 6


Vector fields in 2D:
A vector field is a function whose domain is in R2 or R3 and whose range is a set of
vectors.

We visualise vector fields by drawing arrows representing the vectors F (x , y ),
starting at the point (x , y ).

Although it is impossible to do this for all points, we can gain a reasonable
impression of F by drawing some points.
For example:




Vector fields in 3D:
Vector fields can also be plotted in R3, in the same way as they would be plotted in
2
R.
For example:

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