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Most universities and colleges want transfer students to have completed all of their general education requirements AND to be "major-ready." Many majors have prerequisite classes you must take prior to being admitted to that particular major or program.  Schools will list these requirements on their websites.

Example Listing of Prerequisite courses:

Some schools list major prerequisites can be found within Transfer Admissions pages, and other schools post that information on their departmental pages. If the information you find online is unclear or incomplete, it's best to contact the Admissions Office of the school you're researching to get clarification. 

IMPORTANT NOTE:  You may find that different colleges and universities do not have the exact same prerequisites for your major.  It's critical to research major prerequisites for EACH school that you're applying to.