CMI has Ph.D. programmes in Computer Sciences, Mathematics and Physics. Recently, CMI has introduced the possibility of students pursuing a part-time Ph.D. at the Institute.
Since 1998, CMI has offered a B.Sc.(Hons) degree in Mathematics and Computer Science. This three-year program also includes courses in Humanities and Physics. Many students, after completion of the B.Sc. degree, have pursued higher studies in Mathematics and Computer Sciences from universities both in India and abroad. Some students also go into industry while others take up subjects such as finance.
In 2001, CMI began separate M.Sc. programmes in Mathematics and in Computer Science. In 2009, CMI began to offer a new programme M.Sc. in Applied Mathematics.
In 2003, CMI introduced a new three-year programme in the form of a B.Sc.(Hons) degree in Physics. The course topics are largely in theoretical physics. CMI now has its own physics laboratory. From the academic year 2007-2008, the Physics students are having regular lab courses right from the first year. In the academic year 2005-2006, lab sessions for third-year students were conducted at IIT Madras based on an agreement. In the summer following their first year, physics students go to HBCSE (under TIFR) in Mumbai for practical sessions and in the second year, they go to IGCAR, Kalpakkam. However, in 2012, the B.Sc. degree in Physics was restructured as an integrated B.Sc. degree in Mathematics and Physics.
Degrees for the B.Sc. and M.Sc. programmes were earlier offered by MPBOU, the Madhya Pradesh Bhoj Open University and doctoral degrees by Madras University. After CMI became a deemed university, it gives its own degrees. CMI awarded its first official degrees in August 2007.
The batch sizes typically vary from five to twenty five and the overall strength of CMI is about 100–125 students and 40–50 faculty members.
Nearly all the CMI programmes are run in conjunction and coordination with programmes at IMSc, an institute for research in Mathematics, Theoretical Computer Science and Theoretical Physics, located in Chennai.
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