What I do is place the files from my mdb/css and mdb/js into my public/css and public/js directories. Then add the links to those files in your master.blade.php file. Also, you may need to remove app.js from your public/js directory. Some people have reported that there are compatibility issues with mdb.js and app.js but I have not encountered any yet.
The below tutorial is not mdb specific but should give you the general idea.