Here is the syllabus used in Penn's Arabic classes
(except ARAB 039 and ARAB 433):

FIRST YEAR:
1. Alif Baa: An Introduction to Arabic Letters and Sounds; Brustad, Al-Batal, & Al-Tonsi; Georgetown University Press, 1995. (with DVDs.)
2. Al-Kitaab fii Ta^callum al-^cArabiyya: A Textbook for Beginning Arabic, Part 1; Brustad, Al-Batal, & Al-Tonsi; Georgetown University Press.

SECOND YEAR:
The continuation of Al-Kitaab Part 1, plus:
Al-Kitaab fii Ta^callum al-^cArabiyya: A Textbook for Arabic, Part 2; Brustad, Al-Batal, & Al-Tonsi; Georgetown University Press, 1997. (with DVDs)


THIRD YEAR:
The continuation of Al-Kitaab Part 2, plus:
Al-Kitaab fii Ta^callum al-^cArabiyya: A Textbook for Arabic, Part 3; Brustad, Al-Batal, & Al-Tonsi; Georgetown University Press, 2001. (with DVDs)

FOURTH YEAR:
The continuation of Al-Kitaab Part 3.