Hello..
Let it clear first that Artificial Intelligence is a part of Computer Science. Also AI is a subset of Computer Science. The theories and practices of computer science are always used for developing Artificial Intelligence Systems.

The key differences between Computer Science and Artificial Intelligence are:

1) CS is generic and wide concept whereas AI is an implementation.

2) AI is one of many fields in Computer Science.

3) AI is discipline belonging to CS.

Both CS and AI have scopes in market today. But AI is the future and it would have more scope in coming days.

There are very few colleges/university in India which provides CS with AI. But yes branches are good at Amrita University.

Hope it helps you!

Thank you.