Student visas are required only if you stay over 90days. If you want to remain in Korea as a student for more than 90 days (staying for the fall semester and beyond), you need to receive a Certificate of Acceptance from the Office of International Affairs and get a student visa (D-2). For general stay as a non student, you need a short term residence visa (C-3).
Sogang KIP is planned five times a week (Monday through Friday) for four weeks, 80 hours for the language class and 40 hours for the culture class. Sogang KIP consisits of 4-hours language classes from 9 a.m to 1p.m and 2-hours classes in the afternooon.