Top Math Books for Self-Study: 1st Year University Course | NSW, Australia

[Mentallic]

I'm just out of high school and will be starting an advanced mathematics course in University (NSW, Australia). I'm unsure what each course consists of specifically, and all I've really heard about that will be in it is "discrete mathematics".
It's vital that I get good marks on average throughout the first year, so I thought I would start early with self-study.

What book(s) do you guys recommend? Note I took extension 2 mathematics in high school (the highest level available) so I'm already proficient in quite a few topics such as single-variable calculus, trigonometry, complex numbers, polynomials etc.

Thanks in advance for any suggestions.

 

[ojs]

I suggest you read the wikipedia entry http://en.wikipedia.org/wiki/Discrete_mathematics and have a look at the section at the bottom named Further reading, the book by Norman L. Biggs mentioned first seems to be ok.