You don't need an EE degree (and you wouldn't learn many of the skills needed anyway). You can learn most of the things you need from "The Art of Electronics",

You don't need an EE degree (and you wouldn't learn many of the skills needed anyway). You can learn most of the things you need from "The Art of Electronics", by Horowitz and Hill. It's a very complete book on the subject, and it does have only very minimal prerequisites.