The bibles for engineering maths are: Engineering Mathematics by K.E. Stroud. and Advanced Engineering Mathematics by Erwin Kreyszig.
Your uni' will most likely follow the broad outline's for both the first and second year maths of your course.
First year will cover FP maths in more depth with several additional topics with the obvious application to engineering problems. (Such as Fourier Analysis, D operator, Z-Transforms, Laplace-Transforms, Heaviside step function, multiple integrals etc. There will be heavy emphasis on complex numbers, trigonometry, integration, partial differentiation, parametric calculus, matrices etc.
Because there will be a wide range of maths abilities on your course, the emphasis will be on getting a common standard and understanding for everyone.
If you have A-level maths you are on your way. If you have good grades in FP then you are well on your way (in the first year at least).
I did my degree in Electronics and then Masters in Aerospace Systems Engineering.
To do well (1st or 2:1), you really do need to love the subject and in my experience, engineers fall into broadly three categories:
Geeky, where the students are way more scientist with engineering ability; blokes, where rugby, pub crawls, talking anything engineering and trying to chat up women (with varying degrees of success and abject failure) are intertwined with genuine engineering ability and sheer hard work; people who use engineering as a stepping-stone before moving on to MBA's, airline pilots, RAF pilots, management consultancy, senior management, starting up their own businesses etc.
Quite a wide range then in fact. Of all the people on my courses probably 60-75% are no longer in engineering, having used the skills, responsibility and experience to move onto other things.
That's not to say engineering sucks, simply that employers are aware of the value of an engineer, the hard work, discipline and academic rigor needed to gain a good engineering or higher degree and the wide range of skills which can be adapted to many careers.
Yes, the work load is very high; yes some of the concepts are difficult to get your head around, yes virtually everyone will go through a phase where they want to quit, yes it's fun if you love engineering.
Biggest downside? Nowhere near enough women on the courses. ratio is sadly 90% - 10% and probably closer to 95% / 5%.
Conclusion: If you do well at FP A-level and Physics, can conquer your time management, work diligently and have a desire to not only know how things work but want to make them work better, then you will be fine.