School of Mathematics, Statistics & Computational Sciences Department of Mathematics

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1 School of Mathematics, Statistics & Computational Sciences Department of Mathematics Preamble The Department of Mathematics was established in June 2009 under the School of Mathematics, Statistics and Computational Sciences with one unique postgraduate programme namely M. Sc. Tech. Mathematics of three year duration. It incorporates course of M.Sc. (Mathematics) and M.Sc. (Computer Science). The course has been designed so that it covers all the core topics of applied and pure Mathematics with fundamentals of computer Sciences. One unique feature of this course is that if a candidate wants to opt out after four semesters, he will be given M. Sc. Mathematics degree and if he completes six semesters, he will be given the M. Sc. Tech. Mathematics degree. Programmes offered by the Department: M. Sc. Tech. Mathematics (Six Semesters) and M. Sc. Mathematics (Four Semesters) A candidate who has secured more than 50% or CGPA of 3.0 in the UGC Seven Point scale [ 45% or CGPA 2.5 in the UGC Seven Point Scale for SC/ST] or equivalent in the Bachelor degree in Science with Mathematics as Major Subject. The admission to this program is based on the results of an entrance examination CUCET (to be conducted jointly by Central Universities) at various centers in India. 30% weightage will be given for the performances of the students at Bachelor level and 70% weightage is for the performance at the entrance examination. Integrated M.Sc. (Mathematics) B.Ed. Programme: The Integrated M.Sc. Mathematics B.Ed is a post graduate Twelve Semester Course spanning over six years duration in Science Stream or equivalent of any recognised board in India with Mathematics as one of the optional subjects having 50% marks or equivalent grade in aggregate for general category and 45% or equivalent grade for SC/ST/OBC/PWD candidates. Admission through national level entrance examination CUCET (to be conducted jointly by Central Universities) test and marks/grades at 10+2 examination.

2 Ph.D. (Mathematics) Programme: In this program the student has to undertake pre Ph.D course work (12 Credits) and submits a thesis. The duration of the course is three to five years. A consistently good academic record possessing a Master s Degree in the subject concerned or in a cognate / allied subject with minimum of 55% marks or equivalent grade from a recognized University at both undergraduate and postgraduate levels; 5% relaxation in minimum requirement of marks is granted to SC/ST/OBC/PWD candidates. The candidates with at least 55% marks, in aggregate, in their Master s Degree in the subject concerned / allied / cognate subjects shall appear for a written test conducted by the University to be followed by an interview to be conducted by the concerned Department. Objectives of the course M. Sc. Tech. Mathematics: To prepare trained manpower needed for R&D related industries and research organizations. To prepare higher mathematics teachers for applied mathematics especially for I.T. and Engineering. To train young students as future researchers in the frontier areas of pure and applied mathematics. Nature of the course M. Sc. Tech. Mathematics The approach of this course is both multi-disciplinary and inter-disciplinary. The course of M. Sc. Tech. involves Project work of one semester at Industry or Institutions within or outside the country. The department facilitates in getting placement for the summer internship, and for Project works, which provides an edge to the students to ensure a better placement opportunity after completion of their degrees. Department Facilities Department has a well-equipped computer laboratory with internet facility and required mathematics software. A good number of Books & journals on Statistics, Actuarial Science, Finance and Insurance are available in the Central library.

3 Invited Guest Speakers Prof. S. Dharmaraja (IIT Delhi) Prof. V. K. Bhatt (SMVDU Katra, Jammu) Prof. Ashok Deshpande (College of Engg. Pune) Prof. Andrey Tetenov (Gorno-Altaisk State University, Russia) Prof. Balswarop Bhatt (Univ. of West Indies) Prof. S.S. Bhoosnurmath (Karnatak University) Seminar/Conference/Workshop Organized Recent trends in Mathematics and Actuarial Sciences during Feb 20-21, National seminar Advances in Complex Analysis and Special Functions during March 12-13, 2011 Mathematics festival "Math Earth on April 3, Workshop on Mathematica on Dec. 4, Workshop and Conference on Complex Analysis and Related Topics, March 15-19, Advanced Training in Mathematics for Lecturers on Advanced Complex Analysis, June 24- July 13, Mathematics festival "Math Earth on Feb , National Conference on Complex Analysis in Honor of Late Prof. K. S. Padmanabhan, March 8-9, International Conference on Advances in Dynamical Systems, March 10-13, 2014 New Research Projects Sanctioned Name of the Faculty No. of sanctioned / ongoing-projects Amount (Rs. in lacs) Prof. A. P. Singh 01-DST-MRP Rs. 14,20,000 Dr. D.C. Sharma 01-UGC-MRP Rs. 11,43,300 Dr. J.K. Prajapat 01-UGC-Minor Rs. 2,00,000 Dr. Vidyottama Jain 01-UGC-FRPS Rs. 6,00,000 Placements The Department of Mathematics not only provides placement assistance to the students in relevant organization but it also helps the students in their career planning, preparation for selection tests, summer placement/internship and final placements. The Placement Cell of University is working on liaisoning with the senior executives of reputed organizations for the overall development of the effective communication links with many prominent industrial and professional organizations. The placement cell is making all the efforts to match student's

4 career aspirations with the requirements of the organizations. Keeping in view the demand and priorities of the various industries, the cell is also looking for the development of the students. Memorandum of Understanding: The Department has signed a Memorandum of Understanding (MOU) with the Department of Mathematics, Gorno Altaisk State University, Russian Federation. In this MOU both the universities agreed to establish academic cooperation for promoting Cultural, Educational and Scientific exchange. The cooperation between both the universities will be developed in the fields of Fractal Geometry, Complex Analysis and Mathematical Educational problems. Both the universities have agreed on the following: Joint scientific and research projects and themes Exchange of visiting academic staff and UG, PG and research students. Organization of joint scientific conferences and workshops. Exchange of publications, university editions, books and co-operations in communications networks. Faculty Prof. A. P. Singh, Professor and Head of Department M.Sc., Ph.D. (Univ. of Missouri-Kansas City, U.S.A.) Area of Interest: Complex Dynamics, Iteration and Composition of analytic functions, Functional equations in the complex domain, Nevanlinna theory, Value Distribution Theory. -Id: Dr. D. C. Sharma, Associate Professor M.Sc., Ph.D. (Agra University) Area of Interest: Operation Research, Numerical Analysis. -Id: Dr. J. K. Prajapat, Associate Professor M.Sc., Ph.D (University of Rajasthan) Area of Interest: Geometric Function Theory, Complex Inequalities and Fractional Calculus. -Id: Dr. Anand Kumar, Assistant Professor M.Sc., Ph.D (B.H.U.) Area of Interest: Fluid Dynamics, Magneto hydrodynamics, Boundary Layer Theory -Id:

5 Dr. Amit Chakraborty, Assistant Professor M.Sc., Ph.D. (University of Calcutta), Post-Doctoral Fellow (UC Riverside, USA & University of Muenster, Germany) Area of Interest: Mathematical and theoretical biology, Dynamical systems, quantitative ecology, environmental modeling and simulations. -Id: Dr. Vidyottama Jain, Assistant Professor M.Sc., Ph.D. (IIT Delhi), Post-Doctoral Fellow (UC Berkeley) Area of Interest: Fuzzy Optimization, Decision Making under Risk and Uncertainty, Applications of Game Theory, Perception Based Modeling & Financial Mathematics. -Id: Dr. Krishnendra Shekhawat, Assistant Professor M.Sc., Ph.D. (University of Geneva, Switzerland) Area of Interest: Tiling Rectangles, Connectivity, Invariants and covariants, Floor plan Generation. -Id: Dr. Ram Kishor, Assistant professor M.Sc., Ph.D. (ISM Dhanbad) Area of Interest: Celestial Mechanics, Dynamical Systems, Dynamical System. Nonlinear of Dynamics and Chaos, Mathematical Biology. -Id:

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