1. Graphing 3D functions

This is quite embarrassing, well perhaps it isn't, but I've made it through 2 years of engineering without learning how to effectively draw in 3D. The need for this skill arises from the fact that in my Applied Math course we are computing Flux and other such integrals that require knowledge of the surface in 3D space. We didn't really have to use this skill after highschool until now.

Typically what I've done is set x,y,z = 0 accordingly and graph in the appropriate planes. However, this doesn't work all that well. Sometimes I get a shape that's completely off the mark. Are there any tips on graphing in 3D?

We do not get calculators so major plugging and chugging isn't really an option (too slow on an exam anyways).

Cheers!

2. Originally Posted by AllanCuz
This is quite embarrassing, well perhaps it isn't, but I've made it through 2 years of engineering without learning how to effectively draw in 3D. The need for this skill arises from the fact that in my Applied Math course we are computing Flux and other such integrals that require knowledge of the surface in 3D space. We didn't really have to use this skill after highschool until now.

Typically what I've done is set x,y,z = 0 accordingly and graph in the appropriate planes. However, this doesn't work all that well. Sometimes I get a shape that's completely off the mark. Are there any tips on graphing in 3D?

We do not get calculators so major plugging and chugging isn't really an option (too slow on an exam anyways).

Cheers!
Usually, people can either just do it or not instinctively. If you are finding it difficult, try to plot a few points and see if you can "connect the dots" correctly. Worst case scenario, plot a lot of points and learn to do it quickly.

Or you could calculate how the solid would look like from each side. You could do this by ignoring one of the variables.

Good luck!

Mathemagister