Same here, was very useful in Calc 3 when we were talking about volumes in 3d space. Starts to break down a bit when you’re thinking of 3d volumes as solutions to equations of 4 variables (which would actually be describing a 4d shape, that intersects 3d space in certain regions).
Trying to visualize abstract 3d shapes from a formula makes my head hurt. It’s definitely something I’ll get better at as I begin to recognize the patterns in multivariable functions but at the moment it’s a real struggle
Same here, was very useful in Calc 3 when we were talking about volumes in 3d space. Starts to break down a bit when you’re thinking of 3d volumes as solutions to equations of 4 variables (which would actually be describing a 4d shape, that intersects 3d space in certain regions).
Trying to visualize abstract 3d shapes from a formula makes my head hurt. It’s definitely something I’ll get better at as I begin to recognize the patterns in multivariable functions but at the moment it’s a real struggle