WTW258: LU 3.1: VECTOR FIELDS Lecture notes

3. 1. Vector fields

considering functions with range vectors in ↑£ "




function with range :




f pi jffixiyld
A
: →
µ

f- : R' →
IR fff f- Cny , Hd V
E


1. A vector -


valued function is a function




f-
5×11-1 yltl tct) > 1- c- [ dib ]
FCH :
, ,


MMR anger Thom din
,


, is
in real numbers


¥÷::n¥'
in :




Cky ) → point



YIELD
<× > vector
,y →




/ 1123
'

☐ Describe curves in IR
↳drametrite
function with → write with
2. A vector field is d
capital letters
IRYIR
}
.




•
Domain points in

•


Range IIIT in IR
'
/1123
Q , R>
F- Guy ) :
CP, a > or
Ñcxiy , 71 :< P ,