Muslim vs Islamic

It seems that the words Muslim and Islamic are used interchangably. Is there a difference between the 2 words or are they synonyms.

In the strictest of usage, Muslims are people who embrace the Islamic faith, or Islam. As adjectives, you would use Muslim with reference to the people, and Islamic with reference to the belief. They would be synonymous with reference to the culture of the Muslims who believe in Islam. In a more free usage, they can be used synonymously without confusion.