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Madhuben & Bhanubhai Patel Institute of Technology

(A Constituent College of CVM University)

Faculty Details

Dr. Darshana Prajapati

  • Head & Associate Professor
  • djprajapati@mbit.edu.in
  • 02692-230823
  • 9428564021

Total Experience

Teaching 25 Years 04 Months
Industry —

Membership

Life Time Member of Indian Society for Technical Education (ISTE), New Delhi.: LM 33262
Life Member of Indian Society for History of Mathematics, Delhi.

About

Specialization Area : Fractals, Fixed-point Iterations
Subject Taught : Calculus (Differential, Integral, Vector), Differential Equations, Complex Analysis, Probability and Statistics, Discrete Mathematics, Numerical Methods, Linear Algebra, Co-ordinate Geometry, Engineering Mathematics.

Qualifications

Academic Qualification

Qualification Specialization University Passing Year Class
PhD Mathematics H. N. B. Garhwal University, Shrinagar 2013
M.Phil. Mathematics Sardar Patel University 1999 First D.
M.Sc. Mathematics Sardar Patel University 1997 First
B.Sc. Mathematics Sardar Patel University 1995 First

Experience

Experience Details

27th June, 2009 to till dates. Working as Associate Professor in Mathematics at Department of Applied Sciences and Humanities .
26th June, 2000 to 27th June, 2009. Worked as Assistant Professor in Department of Mathematics, A. D. Patel Institute of Technology (ADIT), New Vallabh Vidyanagar
1st Nov., 2006 to 26th June, 2009. Worked as a Senior Lecturer in Department of Mathematics, A. D. Patel Institute of Technology (ADIT), New Vallabh Vidyanagar
1st Nov., 2000 to 31st October, 2006. Worked as a Lecturer in Department of Mathematics, A. D. Patel Institute of Technology (ADIT), New Vallabh Vidyanagar
9th February, 1999 to 9th January, 2000. Worked as an Ad-hoc Lecturer in Department of Mathematics, Birla Vishvakarma Mahavidyalaya, (BVM), Vallabh Vidyanagar
31st December, 1997 to 8th February, 1999. Worked as an Ad-hoc Lecturer in Department of Mathematics, V. P. & R. P. T. P. Science College, Vallabh Vidyanagar

Publications

Publications Details

Book:
  • Image Compression Using Fractal published by LAP LAMBERT Academic Publishing, Germany on 1st September, 2015, Authors: Tejas Gandhi, Hetal Patel, Darshana Prajapati.
  • V-variable Sierpinski Gasket and Carpet, Chaos and Complexity Research Compendium, Vol. 3, Ch. 5, Nova Pub., USA (73-82), ISSN/ISBN No. 978-1-62081-872-5, 30 April 2013, Authors: Mamta Rani, R. C. Dimri, Darshana J. Prajapati.
  • Darboux and Cellerier Fractal Hedgehogs, Recent Advances in Fixed Point Theory and Applications, Ch. 17, Series: Advances in Mathematics Research, ISBN: 978-1-53612-104-9, May 2017. Authors: Mamta Rani, R. C. Dimri, Darshana J. Prajapati.
International / National Journal:
  • Tomar A, Prajapati D. J,AntalS, and Rawat S. of department of Mathematicspublished a research paper on “Variants of Mandelbrot and Julia fractals for higher-order complex polynomials” in Math Meth Appl Sci., Sp. Issue Paper, 05April 2022;pp. 1-13, ISSN: 10991476, 01704214, (International) (Peer Reviewed)
  • Swati Antal, Anita Tomar, Darshana J. Prajapati and Mohammad Sajid of department of Mathematics published a research paper on “Variants of Julia and Mandelbrot sets as fractals via Jungck-Ishikawa fixed point iteration system with s-convexity “in AIMS Mathematics,02 April 2022, Volume7(6), pp.10939–10957, ISSN: 2473-6988. (International) (Peer Reviewed),DOI:10.3934/math.2022611
  • Swati Antal, Anita Tomar, Darshana J. Prajapati and Mohammad Sajid of department of Mathematics published a research paper on “Fractals as Julia Sets of Complex Sine Function via Fixed Point Iterations” in Fractal Fract., December 2021, Volume 5, pp. 272-288,ISSN:2504-3110.(International),https://doi.org/10.3390/fractalfract5040272
  • Hetal Patel, Dipanjali Khant, Darshana Prajapati;”Design of a Color Palette Based Image Steganography Algorithm for Fractal Images”, IEEE Proceedings: ISBN No. 978-1-5090-4442-9, pages 2584-2589, March 2017
  • Hetal Patel, Dipanjali Khant, Darshana Prajapati; “Design of An Algorithm for Image Steganography Using Fractal Mathematics”,IEEE Proceedings: ISBN No. 978-1-5090-4558-7, pages 2189-2193, January 2017
  • Dipanjali Khant, Hetal Patel, Darshana Prajapati; “Design of Image Steganography Algorithm Based on Local Region Property of a Fractal Cover Images”, ADIT Journal of Engineering, December 2016, 13(1), 3-7, ISSN No. 0973 3663
  • Amit Singh, Darshana J. Prajapati and R. C. Dimri; “Two-step iterative Approximation of common fixed points of two non self asymptotically quasi-non expansive mappings”, Asian-European Journal of Mathematics vol. 8(3), 1550060 (12 pages), 2015
  • Tejas Gandhi, Hetal Patel, Darshana Prajapati; “Fractal Geometry and Its Application to Image Compression”, STM Journal 2015, JoIPPRP, ISSN 2394-1995 (online), 2(2), 4-12.
  • Gamit Tejal, Hetal Patel, Darshana Prajapati; “Design of an Algorithm for Image Watermarking using Fractal Mathematics”, ADIT Journal of Engineering, December 2015, 12(1), 16-24, ISSN No. 0973 3663
  • Amit Singh, Darshana J. Prajapati and R. C. Dimri ; “Some Fixed Point Results of Almost Generalized Contractive Mappings in Ordered Metrix Spaces”, International Journal of Pure and Applied Mathematics, 2013, ISSN No. 1314-3395, 86(5), 779-789
  • Darshana J. Prajapati, Mamta Rani and R. C. Dimri; “Fractal Tiling and Colour Stealing from Digital Natural Images”, ADIT Journal of Engineering, December 2012, 9(1), 18-23, ISSN No. 0973 3663
  • Darshana J. Prajapati, Mamta Rani and R. C. Dimri; Generation of variants of quadratic Koch curves and other new Dragons, ADIT Journal of Engineering, December 2012, 9(1), 18-23, ISSN No. 0973 3663
  • Mamta Rani, R. C. Dimri and Darshana J. Prajapati; “V-Variable Sierpinski Gasket and Carpet” is published in CCL (2011).Vol. 5. 1-11.
International / National Conference:
  • Paper entitled “Design of an Algorithm for Image Steganography using Fractal Mathematics”, in ICACCS 2017 during 6-7 January 2017 at Coimbatore.
  • Talk entitled “Fractal Geometry” in the International Conference on Motives, during 27th May 2015 to 6th June 2015 at the Department of Mathematics, Strasburg University, Strasburg, France.
  • Talk on “Linear Algebra and Application” in one day Symposium on “Recent Advancements in Mathematics and its Applications” organized by Mathematics Department of Government Degree College, Billawar, Jammu & Kashmir on Dec. 21, 2013
  • Talk entitled “Generation of variants of Quadratic Koch curves and other New Dragons”in International Seminar on History of Mathematics, jointly organized by Ramjas College, University of Delhi and the Indian Society for History of Mathematics (ISHM) at Ramjas College, Delhi on November 27-28, 2013.
  • Paper entitled “Fractal Tiling and Colour Stealing from Natural Digital Images” in International Conference(ICHDM-2012) organized by Dept. of Maths., M. D. Uni., Rohtak and ISHM during 21-24 Dec., 2012
  • Paper entitled “New Fractal Hedgehog” in National Seminar (NSAN-2012) on “Advances in Mathematics: Historical Developments and Engineering Applications” during January 9-11, 2012 at MBICT, New V. V. Nagar.
  • Paper entitled “Algebraic applications of Vedic Mathematics” in National Conference on “Advances in Mathematics: Historical Developments and Engineering Applications”, Organized by Dept. of Mathematics, Manipur University, Canchipur, Imphal, 19th – 22nd 2008.
  • Paper entitled “Application of Zhukovski Function to Solve Problem of Ground Water Seepage” in National Conference on ”Innovations and Applications of Mathematical Modeling Techniques in Engineering System” organized by Department of Civil Engineering and mathematics, ADIT, New V. V. Nagar on 10th December 2008.
  • Paper entitled “Vedic Mathematics” in the International Conference on “Advances in Mathematics: Historical Developments and Engineering Applications”, Organized by Dept. of Mathematics, G.B. Panth University, Pantnagar, Uttarakhand, 19th – 22nd 2007.
  • Paper entitled ”Numerical simulation of phytoplankton growth in the Gulf of Thailand” in National Conference Organized by Dept. of Mathematics, Dr. Babasaheb Ambedker University, Aurangabad Maharashtra,  24th -25th  March 2005.

Academic Activities

Activities

STTP:
  • Participated “Refresher Course in Mathematics-Cryptology” Organized by Indian Academy of Science, Bangalore and Arranged by Dept of Mathematics . Cochin University of Science and Technology, Cochin, 2nd – 14th May 2005 [Two Weeks].
  • Attended UGC sponsored refresher course in Mathematics, organized by Dept. of Mathematics, Sardar Patel University, V.V. Nagar, 29th April 2002 – 18th May 2002 [Three Weeks].
  • Attended  a Two-Week Short Term Training Program on “Pedagogy & Effective use of ICT in Engineering Education & Academic Governance”sponsored by TEQIP-II during June 15-27, 2015 organized by B.V.M Engineering College at BVM, V V Nagar. [Two Week]
  • Attended “Data Mining & Genetic Algorithms” Dept of Computer Engineering, ADIT, New V.V. Nagar. 23rd – 27th 2004.[One Week]
  • Attended “Helping Students Better Learning Skill & Habit for human value in Education” SVNIT, Surat, 21-25 June 2004. .[One Week]
  • Attended “Human Value in Technical Education” Birla Vishvakarma Mahavidyalaya, V.V. Nagar, 23rd March, 28th March 2002. [One Week]
  • Attended Continuing Education Program on “Differential Equations-II” sponsored by GTU and conducted by Department of Mathematics, IIT Bombay, Powai, 29th June-8th July 2009. [Two Weeks]
  • Attended Continuing Education Program on “Linear Algebra and Differential Equations” sponsored by GTU and conducted by Department of Mathematics, IIT Bombay, Powai, 10th May-23rd[Two Weeks]
  • Attended Continuing Education Program on “Univariate and Multivariate Calculus” sponsored by GTU and conducted by Department of Mathematics, IIT Bombay, Powai, 30th June-12th July 2008. [Two Weeks]
  • Attended QIP short Term Training program on “Fourier Transform Wavelet Transform and its Application”, Organized by, Dept of Mathematics, IIT Chennai, Chennai, 13th – 24th 2004. [Two Weeks]
Workshop:
  • Participate in One Day Workshop on “Skill Development and Parenting” organized by H. M. Patel Career Development Center of CVM, V. V. Nagar on 26th September 2018.
  • Participate in One Day Workshop on “Team Creativity at Workplace” organized by H. M. Patel Career Development Center of CVM, V. V. Nagar on 31st August 2018.
  • Participate in One Day Workshop on “The Art and Science of Counseling: Boon to Staff and Students” organized by Women Development Cell of CVM, V. V. Nagar on 23rd July, 2018.
  • Participated in One Week Workshop on MATLAB during 7-11 January, 2015 organized by the Applied Mathematics Department, MSU, Baroda. [One Week]
  • Participated in one week workshop on “Teaching in Higher Education” jointly organized by Women’s Development Cell, GCET and WAYMADE College of Education, Vallabh Vidyanagar from 24th to 28th June, 2013.
  • Attended two day ISTE Workshop on “Aakash for Education” conducted by IIT Bombay during 10-11 November, 2012 held under the National Mission on Education through ICT (MHRD).
  • Participated in Workshop on “Latex: A Smart Way of Preparing Research Paper and Thesis” on 27th August, 2009 organized by the Department of Computer Engineering and Information Technology, ADIT, New V. V. Nagar.
  • Two Days Workshop “Enhancing Classroom Effectiveness” at Waymade College of Education, V V Nagar,6th-7th2006. [Two Days] 
  • Attended One day workshop on “Enhancing Students Satisfaction “, sponsored by ISTE Chapter, ADIT, New V.V. Nagar 29th 2006. [One Day]              
  • Participated in Workshop on Faculty Development Programme (FDP) on Patent Search and Analysis Report (PSAR) Generation, organized by GTU at MBICT 28th September 2013.[One Week]
  • Attended one day workshop on “Getting mileage through Industrial Tours & Visit” held at ADIT, New V. V. Nagar, 14th 2006. [One Day] 
  • Participated in workshop on “Geometry, Gravity & Cosmology” held at Dept. Of Mathematics, Sardar Patel University, V. V. Nagar, 16th -18th 2006.[Three Days]
  • Matlab Workshop, organized by EC Dept., ADIT, New V.V. Nagar, 8th-11th July 2005.[Four Days] 
  • One Day Workshop on “Holistic Health: Concept and Practices” GEC-CIILP-BBIT and Rotary club Anand mid town. V.V. Nagar, 4th April 2005. [One Day]
  • One day workshop on “Matlab & Simulink” ISTE Chapter ADIT, ADIT, New V V Nagar, 21st April 2003.[One Day] 
  • One day workshop on “Introduction to MATLAB,” ADIT, New V.V. Nagar 4th April, 2003. [One Day]
Seminar:
  • Participate in one day seminar on “Women Empowerment” organized by the CWDC of MBICT, New V V Nagar on 16th March 2015. [One Day]
  • Participated in one day seminar on “WOMAN-THY NAME IS STRENGTH” organized by S. M. Patel college of Home Science, V. V. Nagar on 8th March 2014. [One Day]
  • Participated in a Seminar on “Advanced Engineering Mathematics: Project-Implementations and Deliverables” organized by the Department of Mathematics, Birla Vishvkarma Mahavidyalaya (Engineering College) in association with the Gujarat Technological University on 7th October, 2012.
  • Attended a workshop on “Basics of Computational Fluid Dynamics” during 25th Aug-26th Aug 2008 at ADIT. [One Day] 
  • Attended the seminar on “Alternative Sources of Energy” arranged as a part of Diamond Jubilee Celebration of B.V.M. & Vidyog-2008 at B.V.M., V. V. Nagar, 11th2008. [One Day]
  • Attended one day seminar on “Impact of Mathematics on Live Industrial Problem” organized by G.H. Patel College of Engineering & Tech., V. V. Nagar, 19th August 2006. [One Day]
  • Conference on “Functional Analysis and Applications”, Dept. of
    Mathematics, Sardar Patel University, V.V. Nagar, 14th-16th  March, 2005.[Three Days]
  • National Seminar on “Latest Trends in Communication System and technology” Organized by Electronics and Communication Dept., ADIT New V.V. Nagar, 13th March 2004. [One Day]
  • One day seminar on “WTO-Opportunity or Threat to Technical Education in context of Excellence & Quality Assurance” ISTE at Birla Vishwakarma Mahavidyalaya, V. V. Nagar, 25th April 2003. [One Day]
  • “National Research Seminar in Mathematics” UGC Sponsored, Dept. of Mathematics, Sardar Patel University, V. V. Nagar, 3rd-5th March 2001. [Three Days]
  • UGC Sponsored Research Seminar in “Pure & Applied Maths” Department of Mathematics, Sardar Patel University, V.V. Nagar 14th -15th 1999. [Two Days]
Conference Attended:
  • Participated in 2nd International Conference on “Women in Science and Technology: Creating Sustainable Career” organized by BVM and sponsored by TEQIP-III during 28-30 June 2018 at BVM, V. V. Nagar.
  • Attended the International Conference on “Motives” during 28-30 May, 2015 and on “Mapping Class Groups” during 4-5 June, 2015, organized by the Mathematics Department of Strasbourg University, Strasbourg, France.
  • Conference on “Functional Analysis and Applications”, Dept. of
    Mathematics, Sardar Patel University, V.V. Nagar, 14th-16th  March, 2005.[Three Days]
  • Participated in XIX Gujarat Science Congress in the Session of
    Mathematics organized by Gujarat Science Academy, Local Chapter, V. V. Nagar held at Sardar Patel University, 19th 2005. [One Day]
Expert Talk:
  • Expert talk delivered on “Vedic Mathematics” at Computer Engineering and Information Technology Department of ADIT at ADIT, New V. V. Nagar on 2nd August, 2017 for 2 hrs.
  • Expert talk delivered on “Numerical Solution of System of Linear Equations” at ADIT, New V. V. Nagar on 19th April, 2005 for 2 hrs.
Events Organized:
  • Organized a 3-day International Conference on “History and Recent Developments in Mathematics with Applications in Science and Technology” in collaboration with the Indian Society for History of Mathematics and Sponsored by National Board of Higher Mathematics (NBHM), GUJCOST and DST during 17-19 December, 2019 at MBIT, New V. V. Nagar.
  • Organized a 3-day National Seminar on “Advances in Mathematics: Historical Developments and Engineering Applications” in collaboration with the Indian Society for history of Mathematics and sponsored by CVM, NBHM, GUJCOST and CSIR during January 9-11, 2012 at MBICT, New V. V. Nagar.
  • Organized a National Conference on “Innovations and Applications of Mathematical Modeling Techniques in Engineering System” in collaboration with ISTE,IEEE Gujarat Section and The IE(I) Local center V.V.Nagar and Department of Civil Engineering and Mathematics, ADIT  at ADIT, New V.V.Nagar on 10th December 2008.
  • Organized GUJCOST sponsored (Rs. 40,000/-) symposium on “Women Empowerment Program” on 15th March 2016 in collaboration with ADIT, SMAID, IICP, other institutes of New V V Nagar, Rotary and Inner Wheel Club Anand Round Town, in ADIT Auditorium, ADIT, New V V Nagar

Study Material

Calculus (102000104)

Course Outcome

  • Extend their learning of differential calculus at plus two level.
  • Get necessary knowledge of functions of several variables and its applications.
  • Free hand traces the curves in Cartesian, Parametric and Polar curves.
  • Extend their knowledge of integration of one variable to two and three variables and its applications.
  • Check that given an infinite series is convergent or divergent by using different methods. Also, they can be able to find radius and interval of convergence for the power series.
Sr. No. Type Link
1. Learning Material Click Here
2. Quiz Click Here
3. Assignment Click Here
4. Mid Semester Exam Click Here
5. Tutorials Click Here
6. Laboratory Handout Click Here

Discrete Mathematics (3140708)

Course Outcome

  • Understand the basic principles of sets and operations in sets and apply counting principles to determine probabilities, domain and range of a function, identify one-to- one functions, perform the composition of functions and apply the properties of functions to application problems.
  • Write an argument using logical notation and determine if the argument is or is not valid. To simplify and evaluate basic logic statements including compound statements, implications, inverses, converses, and contra positives using truth tables and the properties of logic. To express a logic sentence in terms of predicates, quantifiers, and logical connectives.
  • Apply relations and to determine their properties. Be familiar with recurrence relations.
  • Use the properties of algebraic structures.
  • Interpret different traversal methods for trees and graphs. Model problems in Computer Science using graphs and trees.
Sr. No. Type Link
1. Learning Material Click Here
2. Quiz Click Here
3. Assignment Click Here
4. Mid Semester Exam Click Here
5. Tutorials Click Here
6. Laboratory Handout Click Here
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