Department Profile

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Year of establishment: 1958.

Academic Staff:

  • Professors: 2
  • Associate Professors: 2
  • Assistant Professors: 7
  • Head of the Department: Prof. A.H. Hasmani

Recognition by Peers:

  • UGC-SAP-DRS (Recently completed the Third Page of the program)
  • NBHM Regional Library in Mathematics
  • DST-FIST

Programmes Offered

  • M. Sc. (Mathematics)
  • Ph. D. (Mathematics) (Full-time and Part-time)
  • No. of seats in M.Sc.: 60 (Regular) and 80 (Self-financed)
  • Holistic approach encompassing Pure Mathematics, Applied Mathematics and Applicable Mathematics.
  • Vital balance between Algebra, Geometry, Analysis, Computational Mathematics and Applications of Mathematics.
  • Syllabus as per UGC guidelines, compatible with UGC-CSIR NET, within the frame work of Choice Based Credit System (CBCS).
  • Specially designed optional/elective courses at M.Sc./M. Phil:
    • Problems and Exercises in Mathematics (For talented students preparing for a career in Higher Mathematics; aiming at providing a training for problem solving in Mathematics and for NET/SLET)
    • Research Level Advanced Courses in Functional Analysis, Banach Algebras and Operator Theory, Operator Algebras, Relativity and Cosmology, Geometry
    • Courses on Computational Mathematics like
      •       Computer Programming in C/C++
      •       Use of Mathematical Software like Mathematica, MatLab and MACSYMA etc.
    • Financial Mathematics.
    • Stochastic Analysis
    • Mathematics Education (a course aimed at students preparing for a teaching career).
    • Courses in Mathematical Foundations of Theoretical Sciences like Classical Mechanics, Relativity and Cosmology, Quantum Mechanics, Statistical Mechanics, Fluid Dynamics.
    • Mathematical Modelling and Mathematical Methods.
    • Provision for Dissertation (200 Marks) at M.Sc. Semester-IV.
    • Semester long Research Seminar at M.Sc. /M.Phil. Level (4-credit course)
    • Research oriented M.Phil. programme intertwining course work, dissertation, seminars and problem sessions.
  • M.Sc. Students Projects
  • International students admitted at M.Sc./ Ph.D. levels

Infrastructure:

  • NBHM Regional Mathematics Library – with 50 journals, around 4500 books on higher mathematics, back volumes, internet connection, photocopying facility over and above 9000 mathematical books in the central library.
  • Desktop computer, printer and Internet connectivity to faculty members and Research Scholars.
  • Access of computers and internet to M.Sc students.
  • Computer Laboratory – with mathematical software like Mathematica, MACSYMA, MatLab and word processing facilities.
  • Teaching aids – optical telescopes, educational models, presentation equipments, slide projector, multimedia CDs, Scanner.Each Classroom equipped with Multimedia Projector and Computer Networking, each faculty member is provided with Tablet laptop. Slide projector, OHP, Multimedia CDs,Scanner.

Research:

  • Research Areas: Functional Analysis, Banach and Topological Algebras, Operator Theory, Operator Algebras, Harmonic Analysis, General Relativity, Tribology, Differential Equations, Financial Mathematics.
  • #Ph. D’s: 56 (9 in progress)
  • # M. Phil.’s: 121 (in progress)
  • #Conferences Seminars Organized: 27
  • #Teachers’ Refresher Courses: 12
  • #Books Published: 12
  • # Research Projects: 18
  • # Research Papers: more than 450
  • Research Collaboration: Our research collaborators include A. Inoue (Fukuaka, Japan), K.B. Kursten (Leipzig, Germany), Fragoulopoulou (Athens, Greece), M. Ouadadess and A. Bedda (Rabat, Morocco), E. Albrécht (Saarlands, Germany), H.G. Dales (Leeds,. UK), S. Campbell (USA), N. Dadhich (Pune University), B. V. Limaye (IIT Bombay), S. Kulkarni (IIT, Madras), S. Mukharjee (West Bengal), P. C. Vaidya (Gujarat Univ., Ahmedabad), L. K. Patel (Gujarat University), R.M. Patel (Gujarat College), Zafar Ahsan (Aligarh Muslim University), L.N. Katkar (Kolhapur University), P.I. Andharia (Bhavnagar University), M.G. Timol (VNSGU, Surat), A.K.Rathie (Central University, Kerala), P.Deepthi (Central University, Kerala), Praveen Agarwal (Anand International College of Engineering, Jaipur), Ebenezer Bonyah (University of Education, Ghana), Pinky Shah (VNSGU, Surat), Kartik Pandya (CHARUSAT, Changa), Krunal Kachhia (CHARUSAT, Changa),  R B Jadeja (Marwadi University, Rajkot), N K Ajudia (Government Science College, Rajkot), Balesh Kumar (IIT, Ropar), G. K. Viswanadham (IISER, Berhampur), X. H. Wang (Xian, China), Shigeru Kanemitsu (Kyushu Institute, Japan), B. Saha (IIT Delhi), K. S. Gehlot (Jaipur), A.A. Shaikh (University. of Burdwan, West Bengal) , R. Deszcz (Wroclaw University, Poland),
  • # Awards Won:
    (a) International: 5         (b) National: 24.
    These include DAAD Fellowship, Commonwealth Fellowship, INSA Visiting Fellowship, IUCAA Associateship, IMS Medal, Visiting Fellowships from universities in Japan, UK and South Africa, Hari-Ohm Ashram Prizes , Ramanujan Prize (University of Madras), IMS Prof. Hans Raj Gupta Memorial Award, Dolar Rai Mankad Award (Saurashtra University) for Excellence Research in Science, Fellowships of Gujarat Science Academy and Indian Academy of Sciences.
  • Study Material Prepared:
    1. Lecture Notes on Banach Algebras, Operators and Harmonic Analysis
    2. Problem Set in Mathematics for UGC-CSIR-NET candidates
    3. Lecture Notes on Fourier and Harmonic Analysis
    4. Lecture Notes on Geometry, Gravity and Cosmology
    5. Lectures Notes on most of all courses of M.Sc. Program
  • Departmental research published in journals like Journal of Functional Analysis, Journal Operator Theory, Proc. of American Mathematical Society, Trans. American Mathematical Society, StudiaMathematica, Integral Equations and Operator Theory, General Relativity and Gravitation, Classical and Quantum Gravity, Journal of Mathematical Physics, Wear, Tribology Trans., Bull. Australian Math. Soc., Pacific Math. , Jr. Math. Soc. Japan, etc.

Extension:

  • Yearly Week Long Workshop on Problem Solving in Mathematics for motivated M.Sc./M.Phil. students of Gujarat  for UGC-CSIR-NET-JRF
  • Sky gazing with telescope for amateurs as well as school and college students.
  • Organization of Refresher courses and Workshops for Teachers
  • Preparation of college and school level text books.
  • Library services: The Departmental library is an NBHM Regional Mathematics Library; accordingly the library service is provided to mathematicians in the Western Region of India.
  • Mathematics Talent Search: The department is instrumental in the conduct of Prof. A.R. Rao Ganit Spardha organized by R.Rao Foundation for the T.Y. B.Sc. (Mathematics) students in Gujarat.
  • Popularization of Mathematics: Some of the faculty members have published popular articles in Mathematics both in English and Gujarati; so far 45 such articles have been published. They also take active part in various organizations like Gujarat Ganit Mandal etc. involved in popularization of Mathematics in particular in Gujarat.
  • NBHM Test Centre: The Department is a Centre for the written test for NBHM Research Award as well as NBHM Sc. Scholarship.
  • Involvement of faculty in professional organizations: The faculty members have been office bearers of professional bodies like, Gujarat Ganit Mandal, Indian Mathematical Society, Indian Association for General Relativity and Gravitation etc.; work on advisory boards, editorial boards of research journals; referees for research journals; reviewers of Reviews.
  • Preparation of Question-banks for students appearing in the joint UGC-CSIR NET test.
  • Electronic Groups: The following e-groups are created and coordinated by our faculty: topologicalalgebras@yahoogroups.com, ugcnetmath@yahoogroups.com (created to discuss the math. problems for UGC-NET), LatexWindows@yahoogroups.com

The department constitutes a part of the extended Mathematics fraternity in Vallabh Vidyanagar, New Vallabh Vidyanagar and Anand; and is committed to the development of Mathematics in this part of the country.