Anime is short for animation, so it kinda obvious there. Manga means "whimsical pictures" in Japanese and I'm told that it can actually refer to both. In the english speaking world, Manga definitely means the hand drawn "comic" books.

These should cover it if you need more than just that.
http://www.animenewsnetwork.com/ency...icon.php?id=30
http://www.animenewsnetwork.com/ency...icon.php?id=45