Though it would prefer to sprawl out in the sun all day, Trachelospermum can easily adjust to tolerate partial or full shade, and can withstand cold better than other types of jasmine.
It's a climber, and left to it's own devices will easily cover railings, walls, or the ground under it. You can cut it down all the way to the ground if it's getting too wild.
Fertilise your jasmine before it blooms in early spring - and if it's getting too big for it's pot, spring is also a good time to repot it into to a larger one. Repotting it every couple of years is good practice if you're growing your plant in a pot, as refreshing the soil tops up the vital nutrients your plant needs to grow. Giving your jasmine some plant food once a month from spring to autumn will also help it grow.
If you're growing your Trachelospermum in a pot rather than the ground, then it'll be much happier if you remove it from the nursery pot and plant it directly into a larger decorative pot, as long as it has drainage at the bottom. This will give it more room to grow and it won't need watering as frequently.
Hailing from the Far East, Jasmine is an absolute star. Almost literally - it's known as Star Jasmine. It's a great entry-level climbing plant as it's evergreen, self-twines and produces irresistible, sweet-smelling flowers.