MAT 213 Lecture Notes - Lecture 29: Divergence Theorem, Vector Field, Cross Product
Document Summary
Provide a generalization to each of the key terms listed in this section. So, if you let f = p i + qj + rk is considered to be a vector eld while it"s on r3 while all of p "s, Q"s, and r"s partial derivatives exist, then that would mean the f"s curl would be the vector eld while it"s on r3 and can be noted by the following: curl f = (cid:16) r. When it comes to the previous equation, you can actually rewrite the previous equation thanks to operator notation; it can be listed as (the vector di erential operator), which is pronounced as. When it comes to the operation notation while on a scalar function, it helps to guring out f "s (a function"s) gradient, which can be expressed by the following: If you do rethink of (the vector di erential operator) when it comes to a vector with .
