




DEPARTMENT OF MATHEMATICS, K.U. KURUKSHETRA (Established by the State Legislature Act XII of 1956) (“A” Grade, NAAC Accredited)
Department: Mathematics The Kurukshetra University was established in 1956 by an act of the state legislature. The Department of Mathematics came into existence in the year 1961. Late Prof. S.D. Chopra was the founder Head of the Department. Since then the Department has made a commendable progress in teaching and research in various branches of Mathematics. It has earned National and International recognition in research in the fields of Algebra, Elasticity, Theoretical Seismology and Analysis. In the field of Research, the Department has an active group of researchers consisting of teachers and research scholars in various branches of Mathematics. The Department has produced about Ph.D. students who got placement at respectable positions in teaching, research and administrative organizations. The Department has organized number of Seminars/Symposia/Conferences with the help of funding agencies like UGC, DST and others. The Department has also organized summer schools. Number of Research Projects funded by UGC/CSIR/DST/NBHM has been completed successfully in the Department. Many teachers of the department had been abroad in connection with their research activities like attending International Conferences, Visiting Scientists, Commonwealth Fellowship and other assignments. The Department has been supported by DST under FIST Scheme. The Department gets special assistance from National Board of Higher Mathematics, Tata Institute of Fundamental Research being a Centre of recognition at a National level. Department Profile:
Faculty of the Department:
Major Research Areas: The Department is a known centre of research in Applied Mathematics (Mechanics of Solids and Theoretical Seismology). The major Thrust Areas in these fields are Elasticity, PoroMechanics, Thermoelasticity, Micropolar Elasticity, Viscoelasticity, Modelling of Earth’s structure, Numerical Solutions of NonLinear Differential Equations, Wave propagation in smart materials. Other Research Areas: Algebra and Functional Analysis are the Thrust Areas in the Field of Algebra are Group Rings and Group Theory and the Thrust Areas in the Field of Functional Analysis are Sequence Spaces and Statistical convergence. Courses Offered: (i) M.Sc. Mathematics (ii) M.Phil. Mathematics (iii) Ph.D. Mathematics Course Name : M.Sc. Mathematics Course Duration : 4 Semester Seats : 150 Mode of Admission : 50% weightage of Entrance Test and 50% weightage of Academic Merit Eligibility : B.A./B.Sc. with Mathematics as one of the subjects or B.A.(Hons.)/B.Sc.(Hons.) in Mathematics with at least 55% marks. Scheme of Examination :
M.Sc. (Previous) Mathematics Semester – I
MM401 : Advanced Abstract Algebra – I MM402 : Real Analysis – I MM403 : Topology MM404 : Complex Analysis – I MM405 : Differential Equations – I Semester – II MM406 : Advanced Abstract Algebra – II MM407 : Real Analysis – II MM408 : Computer Programming (Theory) MM409 : Complex Analysis – II MM410 : Differential Equations – II M.Sc. (Final) Mathematics Semester – III Compulsory Papers MM501 : Functional Analysis MM502 : Analytical Mechanics and Calculus of Variations Optional Papers: A student can opt one optional paper from MM503 opt (i) to opt (iv). Similarly one paper will be opted each from MM504 opt (i) to opt (iv) and MM505 opt (i) to (iv)
MM506 : Fortran – 90 Practical Semester – IV Compulsory Papers MM507 : General Measure and Integration Theory MM508 : Partial Differential Equations Optional Papers: A candidate can opt one optional paper from MM509 opt (i) to opt (iv). Similarly one paper will be opted each from MM510 opt (i) to opt (iv) and MM511 opt (i) to opt. (iv)
MM512 : Fortran 90 codes for Numerical Methods Course Name : M.Phil (Mathematics) Course Duration : One year Seats : 12 Mode of admission : Entrance Test Eligibility : Master’s Degree in the Mathematics from KU or an examinationrecognized as equivalent thereto with at least 55% marks. The condition of marks in the Master’s Degree shall be relaxable upto 50% in the case of University appointed or approved teachers with at least three years service. Scheme of Examination : Compulsory Paper : 1. MPH601 Research Methodology Optional Papers: A student will opt two papers either from Stream– A or from Stream– B. StreamA StreamB (ii) MPH602(A) (ii) MPH602(B) Continuum Mechanics and Advanced Functional Analysis Seismology (iii) MPH603(A) (iii) MPH603(B) Advanced Mathematical Methods Theory of Groups and Homological Algebra
Course Name : Ph.D. Mathematics Course Duration : 4 year extendable to 6 years Seats : Decided on yearly basis. Mode of admission : Entrance Test/JRF(NET)/NET Eligibility : (i)At least 55% marks at the Master degree level (SC/ST/physically and visually handicapped candidates will be given a relaxation of 5% in the minimum percentage of marks). (ii) At least 50% marks at the Master Degree level and at least three years ‘full time’ teaching experience in the subject in a recognized College/University Teaching Departments. Scheme of Examination : Paper – I (Research Methodology) Paper –II (Term Paper) which is selected either from Stream A and Stream B StreamA StreamB 1. Theoretical Seismology 1. Advanced Functional Analysis 2. Elasticity 2. Sequence spaces 3. Poro Mechanics 3. Modern Methods in sumability Theory 4. Thermoelasticity 4. Lie Algebra 5. Advanced Solid Mechanics 5. Group Theory 6. Differential Equations 6. Group Rings 7. Wave Propagation & 7. Commutative Algebra Oscillations Theory 8. Nonlinear waves 8. Algebraic Topology 9. Nonlinear Mechanics 9. Algebraic Coding Theory 10.Representation Theory 10. Piezoelectricity 11. NonCommutative Rings 12. Operation Theory
11. ThermoPiezoelasticity 13. Benach Algebra
12. MagnetoPiezoelasticity 14. Categorical Topology
13. Viscoelasticity 15. Solvable Spaces
14. Mathematical Modelling 16. Wave lets Analysis
15. Numerical Analysis 17. Fixed Point Theory
16. Micropolar Elasticity 18. Fuzzy Sets
17. Fuzzy Differential Equation 19. Fuzzy Logic
18. Fuzzy Difference Equation 20. Fuzzy Algebra
19. Financial Mathematics 21. Fuzzy Topology
22. Statistical Convergence
Other Facilities: Departmental Library: The Department has a spacious wellstocked Library having more than 25,000 books and 1500 journals At present, 4 journals are being subscribed for the Departmental Library The Department has been recognized for its contribution in teaching and research by the National Board of Higher Mathematics and thus gets an annual grant for the purchase of books and journals from NBHM Labs : The Department of Mathematics has two computing Labs with 75 (Seventy five) computers. In addition department has one research lab. having two server HCL 3063A1076646 (IIS) PN SN: 46M6485 with 10 computers. The department has MATLAB, MATHCAD, LATEX, FORTRAN 90 Softwares in Research Lab. and in the Computing Labs. Research Facilties : The Department has sufficient facilities to pursue research in the following areas Applied Mathematics : (i) Mechanics of Solid (ii) Elasticity (iii) PoroMechanics (iv) Differential Equations (v) Theoretical Seismology (vi) Smart Materials (vii) Fluid Mechanics (viii) Thermoelasticity (ix) Micropolar Elasticity (x) Viscoelasticity Pure Mathematics : (i) Algebra (ii) Functional Analysis Information on Achievements : The Department of Mathematics, Kurukshetra University, Kurukshetra is a distinct centre of learning in Applied Mathematics. It has earned a good reputation at the National Level for its contribution to teaching and research in both Pure & Applied Mathematics Placement Cell : Placement of the students after passing out from the Department has been most satisfactory. Many good students have got lectureship in teaching institutes. Some of the students have also been absorbed as scientists in research organizations. 