Information Technology

For me, the best way to learn robotics is by practising. Here is how you can practice to improve your programming, electrical, mechanical skills, and also your creativity :
Take the Arduino For Beginner course on Udemy to start Arduino with a strong programming foundation, which will help you go much further for your next projects (disclaimer : I am the author of this course. I also have included a coupon code on the link, with a discount)
Check out Instructables
Buy an Arduino board and go on their forum
If you can afford it and are interested in mechanics : buy a cheap 3D printer to build your robot
For more advanced control and programming resources : Robot Operating System.

I can't help with course names since I am not at your college or university. Here my advice:
As a graduate in EE, you are already into the robotics at least the theory and practice. What you need is to focus on what I call the mechanics of it: This means circuit design, mechanical considerations, logic circuits, processors, hardware, embedded and loadable software, and so on. There is a specialisation track in robotics according to the National Society of Professional Engineers. So, your thinking of something that is a growing part of engineering thought. Here what you need to do: Find your academic counselor or faculty advisory. Take a list of the curriculum leading to the Masters degree. Ask what you can fit in that will focus your study on robotics and anything related. Your professor will certainly help in helping you understand the work needed to pursue your passion. The academic counselor or advisory will help you map out your course work and give you a game plan. And whatever you do, don't lose sight of your objective. I think this is a critical, growing field to get into. There is some amazing opportunity over the next 5, 10, and 20 years.

Let me be honest, I am a student from CSE department. Actually CSE is considered to be a subject which provides you assured placement and that too with very higher package than any other branch. Basically, it guarantees you a peaceful and prosperous life ahead; at least in terms of money. And who does not want to secure his/her future? So the main reason is pretty clear!
However some top students do take CSE as they have a lot of interest in it. Some top students also take physics, engineering physics and other branches too because they are interested in those topics. Also, the best coders on Codechef maximum time is from CSE departments. Lastly, ill conclude this stream has more opportunities and exposure (that's the reason for me)
I'll guess it will help you.
Best of luck
Thank you.

Hi,
This course has good scope because we are going in to more technology. But it is very important that you do this course from a good university. When it comes to good university it includes good faculty, infrastructure, extra curriculum activities, placement etc. You need to do selection carefully. I am enlisting some top universities:
HBTI Kanpur
Lovely Professional University, Jalandhar
Thapar University, Patiala
MIT Pune
These universities provides extensive learning programs and exposure to the students. They also provide worthy scholarships to its students depending upon the entrance test taken of the university or board result. I hope it helps.