How to have a photoshoot with a regular digital camera?

I’m a student that is working on her art portfolio to apply to art academies. In the portfolio I need to have a diversity in different kind of art. I am now working on the category photography, so I need to take some great pictures.

But I am a person that does not have a DSLR camera, I only have a Panasonic Lumix DMC-ZS3. So I was wondering how to have a great photoshoot with this camera that I have. How to use this camera to have a great photoshoot. Or what kind you suggest?