Uploaded February 2026 | Updated September 2026, 2 weeks ago
We will go over 7 essential notations for your multivariable calculus class, including scalr vs vector functions, gradient of f (i.e. del f), vector field, curl of F, and divergence of F. Subscribe to @bprpcalcbasics for more calculus 3 tutorials!
Support the channel: patreon.com/c/blackpenredpen
Show that curl(del f)=0 and div(curl F)=0 youtu.be/NOdCTWFxi48
0:00 calculus 3 notations that you need to know
0:19 scalar function f
0:49 vector function r
1:24 vector field F
2:00 gradient (or del)
2:31 gradient vector (del of f)
3:08 curl of F
5:10 divergence of F
5:56 definition of a conservative vector field
7:00 how to check of F is conservative
We will go over 7 essential notations for your multivariable calculus class, including scalr vs vector functions, gradient of f (i.e. del f), vector field, curl of F, and divergence of F. Subscribe to @bprpcalcbasics for more calculus 3 tutorials!
Support the channel: patreon.com/c/blackpenredpen
Show that curl(del f)=0 and div(curl F)=0 youtu.be/NOdCTWFxi48
0:00 calculus 3 notations that you need to know
0:19 scalar function f
0:49 vector function r
1:24 vector field F
2:00 gradient (or del)
2:31 gradient vector (del of f)
3:08 curl of F
5:10 divergence of F
5:56 definition of a conservative vector field
7:00 how to check of F is conservative










