Source : Webster's Revised Unabridged Dictionary (1913)

Self-confident \Self`-con"fi*dent\, a.
   Confident of one's own strength or powers; relying on one's
   judgment or ability; self-reliant. -- {Self`-con"fi*dent*ly},
   adv.

Source : WordNet®

self-confident
     adj : showing poise and confidence in your own worth; "hardly more
           than a boy but firm-knit and self-confident" [syn: {self-assured}]