capitalization

The first -- a Midwestern college -- is correctly capitalized. The second -- southwestern pottery -- is not. Like Midwestern, Southwest is -- in this phrase -- the proper name of a region and should be capitalized.

For the third, we need additional context to decide whether it is properly capitalized. The California Coast, as the proper name of a region, is capitalized. However, the California coast, when refering generically to the California coastline (as in "Sir Francis Drake landed somewhere on the California coast"), is not.

I hope this helps.