Study permit update

[jAshAnjosan]

Hello,
I am currently enrolled at a DLI in Alberta and my course ends in December 2019.
My next course is in BC which starts in January 2020.
Will my current study permit (valid through April 2020) be valid in BC as well for my upcoming course ?
Secondly, if I need to update it online, how long will the process be for it and will the documents be sent to my mailing address ?

Thanks