I am in my final year of high school at the moment, thinking about doing BSc (Adv.) at the university of Sydney next year. At the moment I do English (compulsory), chemistry, physics and 4 units of maths, which is the highest level possible here in Sydney. The topics I'm studying are curve sketching, complex numbers, polynomials, integration, mechanics, conics, series and induction, inequalities, circle geo, combinations and permutations, binomial theorem, probability, and more...

I just want to know what topics we do in first year uni, how much harder than high school is it? I am thinking about maths + physics majors since I am allowed to pick two majors for science advanced degree.