At my school, the course was just listed as "logic" or "elementary logic." But if you read the course description, it would mention symbolic logic in the description. So look for that. The course will probably be offered in the Philosophy department.
At my university, they also offer a course entitled "Practical Reasoning," which is also a logic course, but it's different from the symbolic logic - sort of prior to symbolic logic logic - they only do a little of symbolic logic towards the end. However, in that course there's a lot of problem solving, very much like the ones on the logic part of the LSAT. I never took that course, but people who have, told me that it was extremely helpful in preparing for the LSAT. So keep an eye out for something like that at your school too.