Programming Languages

Assuming you're asking this because you're not confident of your calculus skills, you've nothing to worry about. A computer can perform arithmetic and logical operations only. Any and all other computations can be emulated via programming.

C for sure, irrespective of the department and university. You may want to learn Python for your projects. Learning MATLAB scripts will also be helpful. Check your university syllabus to know more.

Learning C will definitely help, although it's not a requirement. They basically share almost the same syntax.

Some of the roles that I can think ( to begin with )of for IT sector are:
Developer, testing engineer, network engineer, hardware engineer, system analyst, web developer, web designer, Tech support, quality teams, DBA. On the other hand there are people who have their careers in business analysis, or as a technical trainer, business development specialist. Upon a couple of years of experience, you could change your role, or move onto leader position in the same ladder too.

Preferably I'll tell you to learn C. C is also there in WBUT UG engineering syllabus for first year, so learning C in advance will help you to cope up with classes. Also while other will struggle learning C, you may learn advance C or other languages like C+ and Python.
C+ is a subset of C, so it'll be really easy to learn C+ after leading C. In job interviews, they preferably ask questions from your basic knowledge of C. So learning C in depth is always welcome.

It is not mandatory to learn programming languages before joining engineering. But it will definitely help you if you learn them before joining the course. I will suggest you to learn C and C+. As you go further in your course you will learn other languages. Hope this will help you. You can ask if you have any queries in comments.

There are many certification courses available in NSE website specially the NCFM. There is SEBI led NISM. Then, there are courses offered by BSE too. Also, in this course you'll find plenty of courses on stock markets, which can be taken on your own pace.