Hey mate. I am doing Engineering & Science up in Queensland. I have done 2 math courses this year and currently doing 1 in summer. Math1051 (the first course if you had done the hardest high school math... which we call MATHS C in QLD) was a lot of revision of high school stuff , especially to do with integration and matrices. We also began series and sequences . Although much of this course was revision , I found it the hardest.... I think mainly due to the fact that uni was very new and my study habits weren't up to scratch. Math1052 was next, and we did all very new stuff .. a lot of work with planes and gradients.... but although it was quite new it was pretty easy. Now I am doing Math2000 which builds on the other two.
If you wanted to find the exact topics you can go to this link Multivariate Calculus & Ordinary Differential Equations - Courses and Programs - The University of Queensland, Australia and press COURSE PROFILE. *note you can change the MATH1051 on the end to math1052 or 2000 to view the other two maths subject. I am sure your uni in Sydney will have something similar.