Art Appraisal Chicago

Contact a club ancient reputation or an art gallery and ask them. I've never heard of a college program. Maybe contact the nationwide auction houses renowned as "Christie" in New York. art history programs to teach the history of art and design. Art dealers have a basic training in art history.

There are a number of places in Chicago where you can study fine arts or art history. The Art Institute of Chicago is a place well known.
There are also places like the American Society of Appraisers that offer classes:
http://www.appraisers.org/education/
But there are also a number of different companies. Check them out:
http://art-collecting.com/appraisals.htm