One of my friends appeared for the integrated Ph.D. Math at IISc Bangalore and shared her experience of the same. A total of 72 students had been shortlisted for the interview and her interview took place on the last day. As she entered the room, they asked for her introduction and her interest to which she told them it was analysis. She was asked the following questions
The entire interview was based on the above questions which my friend was not able to answer most of the time and thus did not get selected. However, she learned a lot from that interview and summed the entire experience in these points
So, overall the experience was very knowledgeable and I hope it's so for you too.
The Joint MSc Ph.D. Mathematics program at IIT Bhubaneswar is pretty good, in fact, it is one of the very few IIT that delivers this specific program. From the academic year, 2013-14 IIT Bhubaneswar is offering this program. You can take admission through a valid score in JAM. The minimum educational qualification required for this program is a bachelor’s degree with Mathematics / Statistics as a subject for at least two years/ four semesters. There are in total 20 seats available for this specific program.
Any student admitted to a Joint M.Sc.-Ph.D. are eligible for consideration to take admission into Ph.D. programs provided the student obtains a certain minimum CGPA at the end of the fourth semester. Otherwise, the student will have to leave with an M.Sc. degree. One can also on their own, decide not to continue with the Ph.D. program and leave with an M.Sc. degree after successful completion of all the academic requirements for the first four semesters.
The School of Basic Sciences in Bhubaneswar has good and experienced faculty members. It has received various research and consultancy projects funded by agencies like DST, CSIR, DBT, BRNS, as well as industries. The research focus for Mathematics at this IIT is mostly on, Optimization Techniques, Transport Phenomena & Molecular Dynamics, Queuing Theory, Applied Probability Models, Biomolecular Transport Dynamics, Soft Computing, Computational Fluid Dynamics, Numerical Methods, Combinatorial Matrix Theory, Graph Theory, Complex Dynamics, Fractals, etc.
Although IIT Bhubaneswar is among the new IITs, it holds a good placement record. According to 2019 placement highlights, the average salary package offered at this IIT was 11.44 lakh per annum. And a total of 89 companies visited for recruitment last year.
So, if you want to pursue Joint MSc PhD Mathematics, IIT Bhubaneswar is definitely a good option.