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Dr Mihir Trivedi

M.Sc., M.Phil, Ph.D (Mathematics)

Email: mihir.trivedi@gsfcuniversity.ac.in

Dr. Mihir B. Trivedi is a seasoned academician and researcher with over 14 years of teaching experience in Mathematics and Statistics. He holds a Ph.D. in Mathematics from Rai University, Ahmedabad, where his research focused on "Sequence, Series and Associated Matrices and Related Properties." His academic journey also includes an M.Phil from Gujarat University, where he explored geometric transformations such as Frieze and Wallpaper groups, and M.Sc and B.Sc degrees from The Maharaja Sayajirao University of Baroda. Throughout his career, Dr. Trivedi has demonstrated a strong command over both pure and applied mathematics.

His primary research interests lie in the development of generator matrices for infinite sequences using recurrence relations, along with the study of their mathematical properties and interrelationships. He has introduced original sequences such as the Jha sequence and the CDS sequence, and has contributed extensively to the study of classical sequences including Pell, Catalan, Motzkin, and Narayana numbers. His scholarly work has been published in reputed peer-reviewed international journals, including the IOSR Journal of Mathematics and the International Journal of Statistics and Applied Mathematics, and he has actively presented his research at national and international conferences.

At GSFC University, where he is currently serving as Senior Assistant Professor – Mathematics, Dr. Trivedi teaches a wide range of subjects across both the School of Engineering and the School of Science. These include Calculus, Linear Algebra, Advanced Engineering Mathematics, Numerical Methods, Probability and Statistical Methods, and Operations Research. In addition to his teaching responsibilities, he has played a pivotal administrative role, having coordinated academic activities for B.Tech First Year programs (July 2020 – June 2023) and served as Program Coordinator for the Bachelor of Computer Applications program (June 2023 – July 2024).

Dr. Trivedi also holds knowledge on optimization techniques and data analysis, making him well-versed in both theoretical and practical applications of Mathematics and Statistics. His academic leadership, curriculum development, and dedication to research underscore his commitment to advancing mathematical sciences and mentoring the next generation of scholars.

Ph.D (Mathematics), Rai University, Ahmedabad,  Thesis titled “Sequence, Series and Associated Matrices and Related Properties”

M.Phil (Mathematics), Gujarat University, Ahmedabad, Dissertation titled "Some Subgroups of the group of Isometrices"

M.Sc (Mathematics), The M. S. University, Vadodara

B.Sc (Mathematics), The M. S. University, Vadodara

  • Sequence, Series and Associated Matrices
  • Generating Functions and generator matrices of sequences and associated properties

Publications:

  1. M.B.Trivedi, P. J.Jha, From Pell to Pell+ and CDS Sequences and Salient Features of Their Generator Matrices, IOSR-JM, 12(5), Sept-Oct. 2016, 05-10
  2. M.B.Trivedi, P.J.Jha, Sum of finite terms of Pell sequence in terms of NSW sequence and interrelationship of some sequences, IJASR, Vol. 4 (July 2017), 19-28
  3. M.B.Trivedi, P.J.Jha, Approaches differ: Catalan numbers, IJASR, Vol. 2 (Nov. 2017), 82-89
  4. M.B.Trivedi, P.J.Jha, Additional mathematical properties of Narayana numbers and Motzkin numbers, International Journal of Statistics and Applied Mathematics, Vol. 3(Mar. 2018), 492-498
  5. M.B.Trivedi, P.J.Jha, Motzkin numbers revisited, International Journal of Statistics and Applied Mathematics, Vol. 3(May 2018), 246-250

About 14 years of teaching experience

  • as an Assistant Professor of Engineering Mathematics at L.J. Institute of Engineering and Technology, Ahmedabad. (3rd August 2010 To 13th August 2019)
  • as an Assistant Professor of Mathematics at GSFC University, Fertilizar Nagar, Vadodara. (14th August, 2019 To June 2024)
  • as an Senior Assistant Professor of Mathematics at GSFC University, Fertilizar Nagar, Vadodara. (July 2014 To till date)

Dr. Mihir B. Trivedi's research activities primarily focus on the exploration and development of generator matrices for infinite sequences derived through recurrence relations, as exemplified in his notable work on the Pell, Pell+, and CDS sequences.

His scholarly contributions extend to studying the intricate properties and interrelationships of well-known combinatorial structures such as Catalan, Motzkin, and Narayana numbers. Through his research, Dr. Trivedi has introduced new mathematical sequences and offered fresh perspectives on classical number patterns, enriching the theoretical foundation of discrete mathematics and sequence analysis. 

Conference & Seminar:

  1. 44TH Annual Conference of Gujarat Mathematical Society held at Vadodara, November 2007
  2. “Workshop on Problem Solving in Mathematical Analysis and Related Areas” Organized at the Department of Mathematics Sardar Patel University, Vallabh Vidyanagar, Under UGC- SAP-DRS, 28 JAN – 3 FEB, 2010.
  3. SCIENCE EXCELLENCE-2011, Organized by Department of Botany, Gujarat University, Ahmedabad (Delivered and Invited Talk/Paper Presentation on “FRIEZE GROUPS AND FRIEZE PATTERNS”), 8th January, 2011
  4. National Conference MATHEMATICS MEET-2011, Organized by Department of Mathematics, Gujarat University, Ahmedabad, 3-5 February 2011
  5. Seminar on Project Demonstration on Differential Equation, Held at L.D. College of Engineering, sponsored by Gujarat Technological University, 16th July, 2011
  6. 22ND Annual cum 6th International Conference of Gwalior Academy of Mathematical Sciences on “ADVANCE IN PURE AND APPLIED MATHEMATICS” (Presented a Research paper titled “Approaches Differ_Catalan Numbers”), 22-24 December 2017
  7. Participated in International webinar on “Focusing on Mathematical Models and analysis of COVID-19 Crisis” on 17/06/2020 and 18/06/2020, jointly organized by Office of International Affairs, The Maharaja Sayajirao University of Baroda and Lappeenranta University of Technology, Finland in Collaboration with Department of Mathematics, Statistics and Applied Mathematics, Faculty of Technology & Engineering & Institute of Inter Disciplinary Studies, The Maharaja Sayajirao University of Baroda, Vadodara , Gujarat, India.
  8. Participated in One week National level Faculty Development Programme on “Mathematical aspects of Fluid Dynamics” Organized by Applied Sciences and Humanities Department, Sardar Vallabhbhai Patel Institute of Technology, Vasad held from 6th July to 11th July, 2020
  9. Organized the FDP on "Elementary Mathematics" at GSFC University, Vadodara in March 2024

 

MOOC Courses:

  1. Completed online courses “Training Programme on Introduction to IoT” on 17th July, 2020
  2. Completed an Online course on Matrix Algebra (Udemy course by Miti Mohta) in November 2017
  3. Completed an Online course titled Calc001X: Pre-University calculus offered by Delft University of Technology through edX on 25th May, 2018
  4. Completed an online course titled Introduction to Ordinary Differential Equations offered by Korea Advanced Institute of Science and Technology (KAIST) through Coursera in November 2020.