wa alaikumussalaam.
Madina Books are written for non-Arabs. I also started my Arabic studies from the same set of books. This course start from basics and ends in advanced level.
So one can start his learning of Quranic Arabic from Madina Books.
There are 3 books in Arabic, plus 3 books explaining the grammar of each lesson in:
English (at
http://www.lqtoronto.com/englishkey.html) ,
Urdu (at
http://www.lqtoronto.com/urdukey.html),
German (at
http://www.lqtoronto.com/germankey.html)
and 3 books with solutions to the exercises.
Br. Asif, in Toronto, has recorded the lessons of these 3 books in video.
The Books and the Videos available for download and or watch in the web site
www.lqtoronto.com.
They have also made available the videos in Torrents.
You can then:
1. Read the key (in English, Urdu or German) of one lesson.
2. Read the Lesson (in Arabic)
3. Watch the Video of that lesson.
4. Do exercises of that lesson (in the Arabic text) - a must (no pain no gain)
5. Check your answers.
If you do not understand any part post your questions in the LQforum.