It sounds like you could use a conversation with your course admin about using Myprogress on the web and on the mobile app.However I'll try to assist with a short response.
Firstly, you need to have the Myprogress app on your mobile device. Then you log in with the credentials you use for logging into your web account. It will ask for a service code, again you'll need to contact your course admin to check this. Then when you initially log in, the mobile device should automatically sync down any assessments deployed within the last 30 days. If you want to send more over, you can log into Myprogress on the web and select "Send to device" which is to the far right of the assessment name.
Hope this helps,