If you have a smart phone here are some recommendations to help you in your Mongolian study. Only Suryaa is meant for students of Mongolian. But if you have a little bit of a foundation, check out the others as well. Suryaa and Chimee are both put out by StudyMongolian.net.
This is a flashcard app. It is meant to be used as an aid while you study. Add new cards as you come across new words that you want to learn. The idea is similar to AnkiDroid, but is specifically targeted towards vertical script Mongolian.
Practice your reading and writing by sending messages to your Mongolian friends. The messages are sent as images so that the vertical script will display correctly. It works best if you also have WeChat installed on your phone. There is no iPhone version yet.
This is a keyboard for the Todo (clear) script of Mongolian, mainly only used in Western China and Russia.
This is a full fledged chat app. The setup is a little complicated so you might need a Mongolian friend to help you. Once you are registered, though, you can search for people near you. There is potential for endless language practice for the brave. Both audio and written formats are supported.
There are not any English to Traditional Mongolian dictionaries that I have found. But Almas has made Mongolian-Mongolian, Mongolian-Chinese, and Chinese Mongolian dictionaries if you are already at a decent level in these languages.
This app allows you to listen to a wide variety of Mongolian music.
This is a Mongolian version of Twitter. It is good reading practice.
You can watch TV programs from Inner Mongolia and practice your listening.