Dear Aspirant, there are so many universities offering this courses in Chennai. The best universities are,

1. Anna University

2. B. S. Abdur Rahman University.

3. Hindustan Institute of technology.

4. Alpha college of engineering.

5. Vels Institute of science and technology.

 And so many etc. 

And choice of your carrier is really good. With this courses you can go for so many other streams for your job purposes.