Given you are in standard, the failure rate is quite high for math subjects so you definitely want to take some action. As a side note you seem to be referring to the MOOC on coursera. The course is 100% free. You can find other free courses on coursera as well.
You need knowledge of two things
1) related angles and the unit circle
2) special triangle used to find sin/cos/tan of angles 30, 45, 60 degrees
Refer to a textbook or YouTube
You have made no attempt.
How do you plan on understanding binomial theorem if you don't know about permutations? The question requires an understanding of perms and combs
Based on the ranking released University of Melbourne is better than UNSW.
https://www.smh.com.au/national/nsw/revealed-where-every-australian-university-sits-in-global-rankings-20240603-p5jiwq.html
pascal triangle represents the values of nCr. Once you understand how it is defined the questions are straightforward.
You need to then make use of the formula probability = num_permutations*probability_of_single_events. Make sure to understand why this formula holds.
This is not correct. You have changed series.
Also the formula for geometric series has not been applied correctly. You should power to n. Also number of terms are now n-1 since you have remove the 1.
No prior knowledge is needed for most degrees, although having some knowledge can be helpful.
IT has a lot of potential. I recommend taking an introductory course on Udemy or Coursera on programming after the HSC.
I recommend Frank Metropolis C++ course on Udemy to get started. Also a Python...
probability you should already quite familiar with given the HSC.
The multivariate calculus/real analysis will mostly contain textbook questions.
Same thing with the operations research. Maybe some minor points can be missed but other than that it should be good.
Mr recommendation is the...