One of my friends is a recent sophomore at BITS Goa. He shared his first day experience there. He was shortlisted following the fourth iteration. Here is what he has to say about it,

• He was overwhelmed after actually visualizing the campus of BITS Goa.
• Due to the rainy season then, greenery dominated the campus.
• He mentioned that his first day was essentially exciting.
• Following the completion of formalities, he was allotted the room CH6 in BITS Goa hostel.
• The rooms of the hostels were stand alone, and did not have sharing policies.
• The food provided at the mess is slightly decent, since it is quite mainstream.
• The mess food does not necessarily change until at least 2 weeks, which is partially one reason why it is pretty much not heavily liked by other students.
• However, the menu is still better than what it is in other institutes, sometimes even IITs.

He mentions that his first day experience was one of the best he ever had. Following the long journey, he momentarily gave himself time to wonder which clubs to join next. This was his experience at BITS Goa on his first day.

In terms of your degree, it will not mention the campus you studied at but that you got a degree from BITS Pilani. There is also no difference in the coursework or material.  But, when it comes to differences, here are some of the major ones:

• In terms of discipline, the Goa campus is strict due to obvious reasons and Pilani is a little lenient that way. But that does not mean you will be restricted. It is the perfect balance of discipline and fun.
• You will find that the grading is also quite tough in Goa as compared to Pilani. The faculty at Pilani are quite helpful but some could be tough on you.
• You will find some cultural differences between the two campuses. There isn’t a stark contrast but small things that make a difference like the way students join a department, etc.
• BITS Pilani has always topped Goa in terms of reputation. But, CSE at Goa is much better than Pilani. This is because students at Goa have won quite a few competitions and gotten better than Pilani. It also has more GSoC selections.
• BITS Pilani is located quite isolated with extreme cold -2 degrees Celsius and extreme heat of 50 degrees Celsius. There is not much to do outside the campus. You can drive down to Delhi or Jaipur which are about 3 to 4 hours away. Goa is better located in that aspect. You can take a 40 min drive to the main city or even drive to Mumbai if you like.

If you think curriculum is what makes the difference between the two campuses, that is not the case. It is more about the day-to-day living at the college and other events.

Well, assuming that your 1st preference is CS at Pilani. EEE at Pilani is arguably one of the most difficult branches out there. Based on the conversations I had with my friends from both the BITS campus, here is what I can tell you about the courses.

• You generally have to compete with the top students on the Campus. Also, the EEE course material is not everyone's cup of tea.
• The EEE placements are quite good, though not for everyone. There are more high pointers in EEE than in any other branch. Thus good companies prefer to hire from among those.
• Placements might be better for CS at Goa, though in some other respects you might sell yourself short with this choice.

So, if you want an easy life, better go for CS in Goa. Otherwise, choose EEE at Pilani.

VIT and BITS both are excellent engineering schools in our country. Both of them are known for their academics and placements in the CSE department. A friend of mine has experienced all three institutes. During his time of admission, he was studying in VIT in the CSE department and then changed to BITS Goa.

• It is considered as the brightest students of VIT is equal to an average student of CSE in BITS Goa. 
• The reason for this is mainly the programs and events being held at the institution continuously and frequently. 
• BITS Goa has amazing faculties too which is an added bonus. 
• Almost every student in BITS Goa is involved in Google Summer of Code (GSOC) or related to Competitive Coding. 
• This enables and pushes the student towards better personality build and development. 

When compared to the NIT’s it all comes down to the NIT you’re comparing to. Older NIT’s like NIT Trichy have high scores even amongst premium education institutes for not just CSE branches but in every other major branch.

There are different viewpoints for the same question. It primarily depends upon what is best for you, and whether or not the course you are willing to take interests you. 

One of my friends encountered a similar problem likewise, and addressing the same, here are some points you might want to consider before diving into any conclusion,

1. A dual degree in Mathematics, Physics, and Chemistry is claimed as a part of Science, while others are considered in the case of Engineering. You will learn the theories of science instead of the application of technology.
2. In Mathematics, you are supposed to learn the series of higher-order and their respective application. While, in Mechanical Engineering, you will learn more deeply about Engines, Boilers, Automobiles, Refrigerator Systems, and much more.
3. A single degree, like Mechanical Engineering, CSE, EE, Civil Engineering, or Chemical Engineering, can be more advantageous than dual degrees. 
4. If you opt for a dual degree in Mathematics, you have a higher probability of becoming a mathematician or a professor. But, in case you pursue Mechanical Engineering from NIT Surat, then you bear higher chances of securing a placement offer at top-tier MNCs.
5. Your choice should always remain ahead of most others. The one piece of advice is that in NIT Surat, you supposedly cannot change your degree from M.Sc to B.Tech following the 1st year and vice versa. 

You should research the same for BITS Goa and find whether or not the rule is similarly applicable in the institute. This is the basic difference you can find between both institutes. 

As some of my friends studied at BITS Goa, I might be able to share some facts about the particular course offered here.

• According to them, if you secure a comparatively low BITSAT score, you might not obtain a seat in any of the well known branches.
• This includes the 4 year B.E courses CS, ECE, EEE, ENI, Mechanical Engineering, and others.
• In any case whatsoever, you can likewise enroll in these few of the 5 year Dual Degree Courses - Economics, Mathematics, Physics, Chemistry and Biology.
• The first 2 semesters, however, you will have to study alongside the 4th year BE students.
• Following that, on the basis of your over 1st and 2nd semester’s CGPA, you can go on to choosing your preferable engineering branch.
• It partly also depends upon your individual performance and branch availability.

After that, you gradually end up acquiring an M.Sc degree and a B.E degree. The aforementioned facts are true enough for every BITS campus, Pilani, Goa, or Hyderabad.