Here's the situation.
I am 40 something years old. An IT security specialist by profession. Did reasonable well at school , 2 A levels 6 O levels (Irish equivalents)
Currently I cannot work as the doctor has me on disability. I have developed a fairly rare form of insomnia which without treatment can mean 40 to 60 hours without sleep on a reguular ongoing basis. Typically three or four of these no sleep episodes in a two week period. Years of shift work, 24 hours on call, and stress and pushing myself beyond what was sensible have destroyed my natural Circadian rhythm and sleep cycles.
Currently on a medication treatment that is trying to force my body back into a daily cycle.
The doctors and specialists have been fairly blunt, I am never going back to the type of work I was in, nor a job that involves shifts and it could be two or three years before they will sign me fit for work. Not good news

The good news is the mediation is helping and I am getting 5 or 6 hours sleep most nights. Unfortunately my body doesnt want to tell me to sleep at an appropriate time, nor does it allow me to wake at an appropriate time without the medication.
In the mean time the only options for me is sit at home, that's not working, was never out of work and hobbies can only fill in so much time, or the other option opened up to me is study. I have been told that if I apply for a 3rd level course I will almost certainly get it as a mature student and one who is on disability. The state will pay all tuition fees, I only have to pay registration fees, student Union fees and buy the books required.
I have been toying with the idea of doing an astro-physics degree. I have had long talks with both the university staff and the mature students office and they seem to think everything will be fine, except the need to brush up on the maths that I have long forgotten since leaving school twenty odd years ago. I am currently working through all the past exam papers and studying calculus which was really only brushed over when I was attending school. I have 6 months to get myself back up to speed before September if I am accepted. I will be applying for the course in the next two weeks with the view that if my sleep programme and medication hasnt worked or if I feel I will lag behind form the get go I can cancel the application in the next 5 months.
So what am I asking for?
Some of you, will have done physics degree's or astro physics. What should I be concentrating on with regards the mathematics to ensure I am totally up to speed for this course. What particular sections of maths should I really be studying, or to phrase it another way could you list in order of importance what mathematics I should be studying or revising.
What was the 'homework' like with regards to number of hours required? I need to ensure that I can stick to my sleep regime without compromising my studies.
Any advice or comments are welcome