^ (caret)  means that all your returns should start with whatever directly follows the sign. Searching for first name ^Ann*  will return everyone with a first name beginning with "ann". Which means Annelise will be returned, but Mari Anne will not. 

$ (dollar sign)  means that all your returns should end in what precedes the sign. Searching for surname *set$  will return all surnames ending in "set". "Furuset Nilsen" will not be included in your hitlist, while "Nilsen Furuset" will be.