you're getting ahead of yourself. Memorizing the periodic table probably won't help in either a chem class or the DAT since on tests they usually let you have a table to look at cause the questions require more thought, generally, than just "where is Ar on the table, left side or right?"
If you want to get ahead of the other students, just go to a local bookstore and buy a chemistry study guide book and study that or read ahead in a general chem textbook.