No worries. The Masters can be done by someone with no background in coding or maths, because the module you mention does teach you from scratch. Mind you, both the coding and maths modules move fast, so some preliminary study wouldn't hurt, but you don't need a background in coding or maths to do them, so don't worry about that.
The module I am speaking about is called Computing in Statistics, and that does require a decent maths background, which by the sounds of it you have. Strictly speaking, the intro courses would get you to where you need to be, but the problem is the modules take place concurrently.
My advice to you would be to get in touch with the university and ask them for the required level of maths for it in advance, because it is by far the most valuable module on that masters if you intend to go into data analytics/data science. That isn't to say the others aren't good, but it's a much deeper dive into the subject. You still have a month or so and I think that's enough time to get to where you need to be to be able to handle that module but again, get in touch with the university now to determine the gaps you need to fill in. It is mainly statistics you would need to catch up on. They don't really cover linear algebra or calculus to any great degree, but again, best getting the info straight from the uni.
Dr Carl Donovan - the lecturer for many of the modules - is a really great guy! Very helpful, knowledgeable and he has such an engaging lecture style.
Depending on your optional module choices, it wouldn't be a bad idea to get some Java (Data-Intensive Systems) or Javascript (Information Visualisation and Visual Analytics) practice in, but I'd focus more on the stats if you're considering Computing in Statistics.