Currently I am in EEE and going for speclization soon. I want to choose DSP but really knew nothing about it. I have a few questions?

1.How is the course conducted differently in comparison with the one in computer engineering?
2.Is programming skills quite important in this course?
3.Does it touch hardware or just pure analysis of signals?
4. Is it wise to choose DSP for scholars like us?

Thanks for your kindly reply