Department Profile Name of the Department: Department of Mathematics
1) From the Desk of Head in 200 words The Department of Mathematics was established in year 1964. Dr. K. Nirmala was the first head of the department. Initially it started M.Sc. M.Phil. and Ph.D. programs. In 2008 the department started a unique course M.Sc. Tech in Mathematics. The main objective of this course was to meet the requirements of IT industry. The department is having its own building along with modern infrastructure like Library, Computer Lab, smart boards and Wi Fi connection. There are 8 faculty members actively engaged in the teaching, research and extension activities.
Department has been offering courses in Pure and Applied Mathematics for many years. The current topics of interest in the Department are Discrete Mathematics, Dynamical System, Differential Equations, Classical Mechanics, Fluid Dynamics.
Right from the inception of the department teachers were actively engaged in the research. Many of them have completed major and minor research projects funded by UGC. The present teaching faculties are also having research projects funded by DST, SERB, CSIR, NBHM. All the faculty members are having research publications in the reputed National and international journals.
The department is organizing Conferences, workshops and short-term training programs regularly. In the last five years the department has organized two national conferences and two workshops of one-week duration for Teaching faculties and students. Department is having active NSS unit since 2016 and every year this unit conducts Blood donation camp, tree plantation, campus cleaning program and so on.
The department has made the continuous progress since its inception.
2) Brief History of the department along with present focus in academic & research – 150 words. The Department of Mathematics started functioning in the year 1964. The lecturing were initially held in Gokhale College. Prof. K. Nirmala was the first Head of the Department. The other staff member were Prof. Waghmare, Prof. T. H. Date, Prof. Tagare, Prof. K. K .Deshpande and Prof. Murdeshwar contributed to the department at the initial stage. The lectures were held in the University campus from 1967-68. In 1982 the Department was shifted to the present building. Prof. L. Radhakrishna (1969-1975, 1984-1996), Prof. B. R. Bhonsle (1975-1977), Prof. R. K. Saxena (1978-1984), Prof. G. G. Asgekar (1996-1997, 2000-2001), Prof. H. V. Kumbhojkar (a first batch student) (1997-2000), Prof. M. S. Chaudhary (2001-2004, 2007-2009), Prof. (Mrs.) Y. S. Pawar (2004-2007, 2010), Dr. L. N. Katkar (2010-2013, 2016-2017), Prof.(Mrs.) S. H. Thakar (2013-2016, 2017- till the date) have been the Heads of the Department. Since 2009, the Department has started new M.Sc Tech course of 3 years duration. The Department has produced more than 85 Ph.D and 105 M.Phil students. The Department has organized several training programs, workshops, seminars, student carnival and conferences. Eminent mathematicians such as Jayant Naralikar, Dr. Ahuja, S. S. Abhyankar, Abhay Ashtekar have visited the Department. The Department has NBHM funded Library consisting 4563 books.
3) Vision: The vision of the Department is to be a premier institute of higher learning and research in Mathematics at National and International levels. 4) Mission: To prepare excellent academicians and software developers to cater for the needs of academic institutes and industries. 5) Core Values of the Departments. Morality and ethics
Professionalism and integrity
Openness and transparency
Creativity and innovativeness
Service to society
Student counseling
6) Academic Programs offered with Intake. Academic Program Intake M.Sc. (Mathematics) 60 M.Sc. Tech (Mathematics) 30 M.Phil. As per the intake shown by research Ph.D. guides
7) Outcome base Education a. Program Education Objectives A) M.Sc. (Mathematics) 1. To solve the problems in mass and heat transfer by using the methods on partial differential equations. 2. To train the students to handle the differentiation and integration in higher dimensions. 3. To solve real-life problems using numerical and wavelet analysis. 4. To use mathematical software to analyze the dynamical systems. 5. To study abstract structures. 6. To develop logical thinking.
B) M.Sc. Tech (Mathematics) 1. Identify the central role of concurrency in systems programming and produce programs which generate and control a process, establish relationship and communication between multiple processes 2. Develop short system utilities and applications using system calls 3. To train the students to handle the differentiation and integration in higher dimensions. 4. To study abstract structures. 5. Design automata, regular expressions and context-free grammars for accepting or generating a certain language b. Programme Outcomes A) M.Sc. (Mathematics) 1. To develop problem-solving skills and apply them independently to problems in pure and applied mathematics. 2. To develop abstract mathematical thinking. 3. To improve the abilities of students which will be helpful to qualify competitive examinations. 4. Apply knowledge of Mathematics, in all the fields of learning including higher research. 5. Work effectively as an individual, and also as a member or leader in multi- linguistic and multi-disciplinary teams. 6. To qualify lectureship and fellowship exams such as NET, GATE, SET etc. 7. Understand the basic concepts, fundamental principles and mathematical theories related to various courses and their relevance to other sciences.
B) M.Sc. Tech (Mathematics) 1. Demonstrate basic knowledge in fundamentals of programming, algorithms and programming technologies and fundamentals of Computer Science. 2. Use research-based knowledge and research methods including design of experiments, analysis and interpretation of data, and synthesis of the information to provide valid conclusions 3. Create, select, and apply appropriate techniques, resources, and modern engineering and IT tools, including prediction and modeling to complex engineering activities, with an understanding of the limitations. 4. Communicate technical topics in written and verbal forms 5. Develop the ability to design creative solutions to real life problems faced by the industry 6. Improve the capability for self-learning 7. Map their qualities of learning to demonstrate latest technology
c. CBCS with course Structure Program Name: MSc (Mathematics) Semester I Paper no Course Title Teaching hours Credits per week CC-101 Advanced Calculus 6 5 CC-102 Linear Algebra 6 5 CC-103 Complex Analysis 6 5 CC-104 Classical Mechanics 6 5 CC-105 Ordinary Differential Equations 6 5 AEC-106 Communicative English-I 2 2
Semester II Paper no Course Title Teaching hours Credits per week CC-201 Functional Analysis 6 5 CC-202 Algebra 6 5 CC-203 General Topology 6 5 CC-204 Numerical Analysis 6 5 CC-205 Partial Differential Equations 6 5 SEC-206 Fundamentals of Information 2 2 Technology (FIT)-I
Semester III Paper no Course Title Teaching hours Credits per week MT-301 Real Analysis 6 5 MT-302 Advanced Discrete Mathematics 6 5 Any three of the following MT-303 Topological Vector Spaces 6 5 MT-304 Number Theory 6 5 MT-305 Operations Research – I 6 5 MT-306 Fuzzy Mathematics –I 6 5 MT-307 Fluid Dynamics 6 5 MT-308 Fractional Calculus 6 5 MT-309 General Relativity – I 6 5 MT-310 Lattice Theory – I 6 5 MT-311 Approximation Theory 6 5 MT-312 Dynamical Systems – I 6 5 MT-313 Graph Theory-I 6 5 MT-314 Differential Geometry 6 5 MT-315 Combinatorics 6 5 MT-316 Commutative Algebra - I 6 5 MT-317 Space Dynamics- I 6 5 MT-318 Theory of Computation 6 5 MT-319 Algebraic Topology 6 5
Semester IV Paper no Course Title Teaching hours Credits per week MT-401 Field Theory 6 5 MT -402 Integral Equations 6 5 Any three of the following MT-403 Measure and Integration 6 5 MT-404 Algebraic Number Theory 6 5 MT-405 Operations Research – II 6 5 MT-406 Fuzzy Mathematics –II 6 5 MT-407 Computational Fluid Dynamics 6 5 MT-408 Fractional Differential Equations 6 5 MT-409 General Relativity – II 6 5 MT-410 Lattice Theory – II 6 5 MT-411 Wavelet Analysis 6 5 MT-412 Dynamical Systems – II 6 5 MT-413 Graph Theory-II 6 5 MT-414 Analysis on Manifolds 6 5 MT-415 Theory of Distributions 6 5 MT-416 Commutative Algebra - II 6 5 MT-417 Space Dynamics- II 6 5 MT-418 Automata Theory 6 5 MT-419 Dynamic Equations on Time Scales 6 5
Program Name: MSc Tech (Mathematics) Semester I Paper no Course Title Teaching hours Credits per week MTT 101 Advanced Calculus 4 4
MTT 102 Linear Algebra 4 4
MTT 103 Discrete Mathematical Structures 4 4 -I MTT 104 Computer Architecture 4 4
MTT 105 Programming in C 4 4
MTT 106 Lab Work I 12 6
Semester II Paper no Course Title Teaching hours Credits per week MTT 201 Functional Analysis 4 4
MTT 202 Algebra 4 4
MTT 203 Discrete Mathematical Structures 4 4 -II
MTT 204 Data Structures Using C 4 4
MTT 205 Operating Systems 4 4
MTT 206 Lab Work II 12 6
Semester III Paper no Course Title Teaching hours Credits per week MTT 301 Complex Analysis 4 4
MTT 302 ODE 4 4
MTT 303 DAA -I 4 4
MTT 304 Database System 4 4
MTT 305 Object Oriented Programming with 4 4 C++
MTT 306 Lab Work III 10 5
Semester IV Paper no Course Title Teaching hours Credits per week MTT 401 Real Analysis 4 4 MTT 402 Operations Research 4 4
MTT 403 DAA -II 4 4
MTT 404 PHP with MySQL 4 4
MTT 405 Java Programming 4 4
MTT 406 Lab Work IV 10 5
Semester V Paper no Course Title Teaching hours Credits per week MTT 501 Compiler Techniques 4 4
MTT 502 Software Engineering 4 4
MTT 503 Computer Networks 4 4
MTT 504 Computer Graphics 4 4
MTT 505 Departmental Electives 4 4 1. Web Technology 2. PHP with MySQL 3. Android Programming 4. Advanced Java MTT 506 Lab Work 8 4
Semester VI Paper no Course Title Teaching hours Credits per week MT601 A. Industrial Project 14 week project 24 B. Technical Communication Total 15 lectures 6
Open Electives Semester Title of course Instruction Intake Eligibility Marks and Exam Credits hrs/week Capacity ODD Discrete 4 15 Science As per MTT 103 4 Mathematical and Structures -I Technology ODD Programming in C 4 15 Science As per MTT 105 4 and Technology EVEN Discrete 4 15 Science As per MTT 203 4 Mathematical and Structures -II Technology
Semester Title of course Instruction Intake Eligibility Marks and Exam Credi hrs/week Capacity ts ODD ODE 4 15 Science As per MTT 302 4 and Technology ODD Object Oriented 4 15 Science As per MTT 305 4 Programming and with C++ Technology EVEN Operations 4 15 Science As per MTT 402 4 Research and Technology
8) Faculty Details (Details of the faculty in one page)
Name Sarita Hemant Thakar
Contact no 9890470195
E-mail ID [email protected]
Designation Professor
Research Areas Classical Mechanics, Fluid Dynamics, Numerical Analysis
No of Research papers 10 published in last 5 years
Research Projects in last 5 Completed:-- Ongoing-- years (Give details)
Books Published (Details) --
Patents/ IPR --
No of Research papers Citation H-Index i10-index RG Score published in 17 2 -- 6.37 National/International
Conference
Total no of Ph.D. Students Awarded Working
04 +1 (Submitted) 02
Visits Abroad --
National/International -- Awards
Selected Publications (10) 1. On some properties of planar motion of satellite under gravity‖ Indian journal of pure and applied Maths vol 21 no. 10,pp 915-964 Oct 1990 jointly with prof. K.C.Sharma. 2. ―Constants of motion of a general space vehicle‖ Indian journal of pure and applied Maths vol 25 no. 7, pp 785-799 July 1994 jointly with prof. K.C.Sharma. 3. Stability of N coupled deployable members‖ JIMS Vol. 66, No.1-4, 1999 pp 65-71. 4. Applications of canonical transformations to generate invariants of non conservative system‖ Indian journal of pure and applied Maths vol 39 no. 4, pp.353-368 Aug 2008. 5. Analysis of Modified Average Method for one dimensional non linear Burgers equation with Moving Mesh‖, jointly with Sachin Wani, International Organization of Scientific Research (IOSR) Journal of Mathematics, Vol.3, No.1 (2012) 24-36. 6. Crank-Nicolson type method for Burgers equation‖ International journal of Applied Physics and Mathematics, April 2013 jointly with Sachin Wani. 7. Linear Method for two dimensional Burgers equation‖, Accepted for publication in international journal of Ultra Scientist of physical sciences, Vol. 25, No.1 (2013) jointly with Sachin Wani. 8. Analytical and Numerical stability of Voltera Delay Integro- differential equations", Journal of Indian Academy of Mathematics, Vol.37,No.1,2015 pp 83- 100 jointly with Asma Shaikh. 9. Similarity solutions of non-autonomous Lienard type equations, Journal of Indian Mathematical society ,Vol 83 No.1-2, 2016 pp 107-123, jointly with Ashwini Kulkarni. 10. Integrability Analysis of generalised modified Emden type equation" , Indian J of Mathematics , Vol. 60 No.2 Aug 2018,pp 181-206, jointly with Ashwini Kulkarni.
Name Dr. Machchhindra Tolaji Gophane Contact no 9420129705 E-mail ID [email protected], [email protected] Designation Assistant Professor Research Areas Discrete Mathematics, Lattice Theory No of Research papers 03 published in last 5 years Research Projects in last 5 Completed: Ongoing: 01 years (Give details) Title: A Study of Some Concepts in Modular and Semimodular Posets with Their Applications Funded by Shivaji University, Kolhapur Books Published (Details) 02: Advanced Discrete Mathematics (SIM), Publisher: Shivaji University, Kolhapur Combinatorics(SIM), Publisher: Shivaji University, Kolhapur Patents/ IPR -- No of Research papers Citation H- i10-index RG Score published in Index National/International 1 Conference
Total no of Ph.D. Students Awarded Working - - Visits Abroad - National/International - Awards Selected Publications (10) -
Name Dr. Kishor D. Kucche Contact no 02312609218 E-mail ID [email protected] Designation Assistant Professor Research Areas 1. Fractional Differential Equations. 2. Abstract Differential Equations. 3. Differential Inclusions. 4. Integral Inequalities. No of Research papers 18 published in last 5 years Research Projects in last 5 Completed: 01 Ongoing: 01 years (Give details) UGC-Minor Research SERB-Major Research Project Project Grant Sanctioned Rs. Grant Sanctioned Rs. 1,97,000/- 17,58,000/- Title: On nonlinear Title: Analysis of ψ- Hilfer mixed functional Fractional Differential integrodifferential Equations equations in Banach spaces Books Published (Details) Book Chapters in Edited Books: 1. Monotone Iteration Principle in the Theory of Hadamard Fractional Delay Differential Equations, Chapter 5, In: Frontiers in Fractional Calculus, Editors: Sachin Bhalekar, Bentham Science Publishers, ISBN(Online): 978-1-68108-599-9 , ISBN(Print): 978-1-68108-600-2, (2018).
Books Co-Authored: 1. S. H. Thakar, K. D. Kucche, Functional Analysis, Shivaji University Press, 2015, (ISBN: 978-81-8486-667-4). 2. S. R. Chaudhari, U. H. Naik, K. D. Kucche, Complex Analysis Shivaji University Press, 2014, (ISBN: 978-81-8486-136-5). 3. S. H. Thakar, K. D. Kucche, Differential equations, Shivaji University Press, 2013, (ISBN: 978-81-8486-261-2). 4. M. S. Chaudhary, K. D. Kucche, Integral equations, Shivaji University Press, 2009, (ISBN: 978-81-8486-261-4). 5. S. R. Khillare, K. D. Kucche, Engineering Mathematics- III, Vidyarthi Prakashan, Aurangabad, 2013. (ISBN: 978-81-930896-5-1). 6. S. R. Khillare, K. D. Kucche, A. C. Dabhole, G. C. Lomte, Engineering Mathematics- I, Vidyarthi Prakashan, Aurangabad, 2011. (ISBN: 978-81- 930896-3-7). 7. S. R. Khillare, K. D. Kucche, Engineering Mathematics- IV, Vidyarthi Prakashan, Aurangabad, 2008. 8. S. R. Khillare, K. D. Kucche, G.P. Kamble, Engineering Mathematics-II, Vidyarthi Prakashan, Aurangabad, 2007.
Patents/ IPR Nil No of Research papers Citation H-Index i10-index RG Score published in 116 07 04 12.24 National/International Journals : 30
No of Research papers published in National/International Conference : 02
No of Research papers Presented in National/International Journals : 15 Total no of Ph.D. Students Awarded Working 00 04
Visits Abroad USA: Invited talk-Seventh International Conference on Dynamical Systems and Applications & Fifth International Conference on Neural, Parallel and Scientific Computation, May 27-30, 2015, Morehouse College, Atlanta, Georgia, USA
National/International - Awards Selected Publications (10) Publications arranged in decreasing order of Impact Factor (IF)
1. J.V.C. Sousa, K. D. Kucche , E. C. de Oliveira, Stability of ψ-Hilfer impulsive fractional differential equations, Applied Mathematics Letters, 88 (2019), 73–80. (IF: 3.487) 2. K. D. Kucche, M. B. Dhakne, Existence results and qualitative properties of mild solution of semilinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces, Applied Mathematics and Computation, 219 (2013), 10806-10816. (IF: 3.092).
3. J.V.C. Sousa, K. D. Kucche , E. C. de Oliveira, On the Ulam-Hyers stabilities of the solutions of Ψ-Hilfer fractional differential equation with abstract Volterra operator, Math. Meth. Appl. Sci. (2019), 1–12. DOI: 10.1002/mma.5562 (IF: 1.533)
4. K. D. Kucche, A. D. Mali, J.V.C. Sousa, On the nonlinear Ψ -Hilfer fractional differential equations, Computational and Applied Mathematics (2019), https://doi.org/10.1007/s40314-019-0833-5 (IF: 1.260)
5. J.V.C. Sousa, E. C. de Oliveira, K. D. Kucche , On the Fractional Functional Differential Equation with Abstract Volterra Operator, Bull. Braz. Math. Soc., New Series (2019), https://doi.org/10.1007/s00574-019-00139-y (IF: 0.500)
6. K. D. Kucche, P. U. Shikhare, Ulam Stabilities for Nonlinear Volterra Delay Integrodifferential Equations, Journal of Contemporary Mathematical Analysis, 54 (5) (2019), (To Appear). (IF: 0.391).
7. K. D. Kucche, S. T. Sutar, On Existence and Stability Results for Nonlinear Fractional Delay Differential Equations, Boletim da Sociedade Paranaense de Matemática, 36 (4) (2018), 55-77.
8. K. D. Kucche, J. J. Nieto, V. Venktesh, Theory of Nonlinear Implicit Fractional Differential Equations, Differential Equations and Dynamical Systems, (2016) DOI10.1007/s12591-016-0297-7.
9. K. D. Kucche, Existence and controllability results for mixed functional integrodifferential equations with infinite delay, Demonstratio Mathematica, 47 (4) (2014), 893-909.
10. K. D. Kucche, M. B. Dhakne, Existence of solution via integral inequality of Volterra-Fredholm neutral functional integrodifferential equations with infinite delay, International Journal of Differential Equations, Volume 2014, Article ID 784956, 13 Pages.
Name Ms. Snehal Suryakant Mitragotri
Contact no 8308433391
E-mail ID [email protected]
Designation Assistant Professor
Research Areas Symmetric Key Cryptography
No of Research papers Nil published in last 5 years
Research Projects in last 5 Completed: Nil Ongoing Nil years (Give details)
Books Published (Details) Nil
Patents/ IPR Nil
No of Research papers Citation H-Index i10-index RG Score published in National/International Conference
Total no of Ph.D. Students Awarded Working
Visits Abroad
National/International Awards
Selected Publications (10)
Name Jyoti Pramod Kharade
Contact no 7350771369
E-mail ID [email protected]
Designation Assistant Professor
Research Areas Fractional Differential Equations
No of Research papers published -- in last 5 years
Research Projects in last 5 years Completed: Ongoing: (Give details) Title: Study of Impulsive psi-Hilfer Fractional Differential Equations
Funded by Shivaji University, Kolhapur under research strengthening scheme Funds in Rs: 95,000/- Books Published (Details) Advanced Discrete Mathematics, Shivaji University Press, 2014, (with M.T.Gophane) (ISBN: 978-81-8486- 669-8).
Patents/ IPR ---
No of Research papers published Citation H- i10-index RG in National/International Index Score Conference
Total no of Ph.D. Students Awarded Working
------
Visits Abroad --
National/International Awards --
Selected Publications (10)
Name Sachinkumar Balasaheb Bhalekar
Contact no (0231)2609218
E-mail ID [email protected]
Designation Assistant Professor
Research Areas Dynamical Systems
No of Research papers 13 published in last 5 years Research Projects in last 5 Completed: 03 Ongoing: 01 years (Give details) 1. Analysis of fractional 1. Analysis of Fractional order delay differential Order Differential and equations, NBHM (DAE), Integral Equations, SERB 2013-16 (Under MATRICS scheme), 2018-21 2. On chaotic delay differential equations of fractional order, Shivaji University (under UGC 12th Plan), 2014-16
3. Analysis of Fractional Order Dynamical Systems, CSIR, 2015-18 Books Published (Details) Frontiers in Fractional Calculus, Book Series: Current Developments in Mathematical Sciences, Volume 1, Editor: Sachin Bhalekar, Publisher: Bentham Science, (2018), DOI: 10.2174/97816810859991180101 eISBN: 978-1- 68108-599-9, 2018 ISBN: 978-1-68108-600-2 ISSN: 2589-2711 (Print) ISSN: 2589-272X (Online)
Patents/ IPR NIL
No of Research papers Citation H-Index i10-index RG Score published in National/International 1017 17 21 26.75 Conference: Nil (Scopus)
No of Research papers published in International Journals: 48
Total no of Ph.D. Students Awarded Working
1 1
Visits Abroad Nil
National/International Awards 1. A M Mathai Research Excellence Award Received From: Society for Special Functions & Their Applications Date: 24 November 2018
2. Received ―Padmashree Late N. S. Venkatesan Gold Medal” for best Ph.D. Thesis in Mathematics from University of Pune.
Selected Publications (10) 1. Can we split fractional derivative while analyzing fractional differential equations?, S. Bhalekar, M. Patil, Communications in Nonlinear Science and Numerical Simulation, 76, (2019) 12-24. DOI: 10.1016/j.cnsns.2019.04.009 IF 3.967
2. Singular points in the solution trajectories of fractional order dynamical systems, S Bhalekar, M. Patil, Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (11), (2018) 113123. https://doi.org/10.1063/1.5054630 IF 2.643
3. Stability and bifurcation analysis of a generalized scalar delay differential equation, S. Bhalekar, Chaos: An Interdisciplinary Journal of Nonlinear Science, 26(8), (2016) 084306 doi: 10.1063/1.4958923 IF 2. 643
4. On the Ucar prototype model with incommensurate delays, S. Bhalekar, Signal, Image and Video Processing, 8(4), (2014) 635-639. DOI: 10.1007/s11760-013-0595-2 IF 1.894
5. Stability analysis of a class of fractional delay differential equations, S. Bhalekar, Pramana- Journal of Physics, 81(2) (2013) 215-224. DOI: 10.1007/s12043-013-0569-5 IF 1.185
6. Dynamical analysis of fractional order Ucar prototype delayed system, S. Bhalekar, Signals, Image and Video Processing, 6(3) (2012) 513-519. DOI: 10.1007/s11760- 012-0330-4. IF 1.894
7. Generalized fractional order Bloch equation with extended delay, S. Bhalekar, V. Daftardar-Gejji, D. Baleanu and R. Magin, International Journal of Bifurcation and Chaos, 22(4) (2012), 1250071. DOI: 10.1142/S021812741250071X IF 1.185
8. Fractional Bloch equation with delay, S. Bhalekar, V. Daftardar-Gejji, D. Baleanu and R. Magin, Computers and Mathematics with Applications, 61(5) (2011) 1355-1365. https://doi.org/10.1016/j.camwa.2010.12.079 IF 2.811
9. Synchronization of different fractional order chaotic systems using active control, S. Bhalekar and V. Daftardar- Gejji, Communications in Nonlinear Science and Numerical Simulations, 15(11) (2010) 3536—3546. DOI:10.1016/j.cnsns.2009.12.016 IF: 3.967
10. Boundary Value Problems for Multi-term Fractional Differential Equations, V. Daftardar-Gejji and S. Bhalekar, Journal of Mathematical Analysis and Applications, 345 (2008) 754–765. DOI: 10.1016/j.jmaa.2008.04.065. IF 1.188
Name Mr. Sunil Shivaji Kumbhar
Contact no 9822703642
E-mail ID [email protected]
Designation Assistant Professor
Research Areas Computational Fluid Dynamics
No of Research papers 2 published in last 5 years
Research Projects in last 5 Completed: Nil Ongoing: 1: years (Give details) Title: "Finite Element Methods for Nonlinear Burgers' Equation"
Sanctioned by Shivaji University, Kolhapur under Research Initiation Scheme- 2017-2018.
Books Published (Details) - Patents/ IPR -
No of Research papers Citation H-Index i10-index RG Score published in National/International - - - - Conference
Total no of Ph.D. Students Awarded Working
- -
Visits Abroad -
National/International - Awards
Selected Publications (10) 1) Sunil S Kumbhar, Sarita Thakar, Numerical Solutions of One Dimensional Burgers' Equation Using Cole-Hopf Transformation and Cubic B-Spline Galerkin FiniteElement Method, Bulletin of Kerala Mathematics Association vol. 13, no. 2, pp. 161-172, 2016.
2) Sunil S Kumbhar, Sarita Thakar, A Second Order Multistep Galerkin Finite Element Method for One Dimensional Burgers' Equation, Journal of Indian Acad. Math. Vol. 39, No. 1 (2017) pp 11-30.
9) Details of Research Laboratories & infrastructure with photographs.
A) Classrooms with smart boards: 04
B) Departmental library funded by National Board for Higher Mathematics, Department of Atomic Energy, Govt of India. Total number of books 4563.
C) Computer Lab:
D) Ramanujan Hall with 100 seats capacity
10) SET/NET Qualified Students (in last five years):
Information of the Students qualifying SET Exam
Sr.No. Name of the student Registration Year number/roll number for the exam 1 Hirachand Bhoi 2014 370817 2 Amar Patil 2014 329601 3 Hirachand Bhoi 2015 569966 4 Birajdar Ganesh 2015 569978 5 Bardol Pravin Revansidda 2016 630950 6 Narale Rama Shahabaji 2016 644403 7 Kumbhar Ananda Lakshman 2017 733610 8 Chandawale Vaibhav Vidyadhar 2017 733374 9 Bobalade Dnyaneshwar 2017 733368 10 Mathapati Chitralekha 2017 776918 11 Gaurav Basweshwar Kolhe 2017 733596 12 Arati Atre 2017 733325 13 Amar Patil Bapuso 2018 129934 14 Ashwini Dhondiram Mali 2018 129832 15 Asma Abubakar Shaikh 2018 130110 16 Madhuri Pandurang Patil 2018 129954 17 Patil Sagar Bajirao 2018 129984 18 Desai Santosh Suresh 2018 129611 19 Patil Sushma Vijaykumar 2018 130003 20 Sandip Sasane 2018 117440 21 Jirage Priyanka 2018 129720 22 Mathapati Chitralekha 2016(KSET) D6260238
Information of the Students qualifying NET Exam
Sr.No. Name of the student Year Registration number/roll number for the exam 1 Santosh Tele 2014 431055 2 Patil Amar Amarnath 2014 426639 3 Bhoi Hirachand 2014 431204 4 Bhoi Hirachand 2014 426356 5 Bardol Pravin Revansidda 2016 429656 6 Bobalade Dnyaneshwar 2017 428870 7 Mane Parashuram 2017 430452 8 Narale Rama Shahabaji 2017 412542 9 Dayanand Gavade 2016 429595
Information of the Students qualifying GATE Exam Sr.No. Name of the student Year Registration number/roll number for the exam 1 Bobalade Dnyaneshwar 2018 MA18S22144010 2 Patil Madhuri Pandurang 2018 MA18S22056019 3 Shaikh Raisa Mhamulal 2018 MA18S22055044
11) Details of Students Placements. Number of students Year placed Name of the employer with contact details
1 Gurukul Vidyalaya , Atpadi (91-8302511111)
1 Junior College, Koregaon(91-2163-220204)
3 Smt. Ksturbai Walchand College, Sangali (0233 237 2102)
1 Pioneer Education, Satara (9096295253)
2 Balwant college, Vita (02347 272 096)
3 Dnyanashree Institute of Engineering and Technology, Satara (086000 09009)
1 Yashwantrao Patil Science college, Solankur (02321 231507)
1 Shripatrao Chougule College Malwadi-Kotoli (02325 244 035)
1 Govt. Polytechnic college, Kolhapur (0231 252 1038)
1 D.G.College, Satara (02162 234 729)
1 Rajashree Chatrapati Shahu College, Kolhapur (0231 265 4658)
1 SSPM's College of Engineering, Kankavli (02367 233 812)
1 Scholars Academy of Science, Karad (074480 28687)
3 Y.C.institute of science, Satara (02162 236 151)
1 Sharadchandra Pawar College, Lonand (02169 225 175)
1 Bharati Vidyapeed, Kolhapur (0231 2638894) 2014-2015 (M.Sc.) 1 Shantiniketan Polytechnic College, Sangali (0233 231 3877) 1 Raje Ramrao College, Jath (02344 246 251)
1 DKTE Society's Textile and Engineering Institute, Ichalkaranji (0230 242 1300)
1 Marathwada Mitramandal Institute of Technology, Pune (020 3241 2681)
2 D.Y.Patil Engineering College, Kadamwadi ( 0231 260 1433)
1 KBP college, Islampur ( 02342 221 778) 2014-2015 (M.Sc.Tech) 1 SGM College, Karad (02164 271 346)
1 MGSK, Gujarati junior college, Sangali (0233 262 3807)
1 Shivaji Polytechnic, Atpadi (02343 - 2343202177)
1 Shahajiraje mahavidyalay, Khatav (02375 266238)
1 Chate junior college, Sangli (9152702865)
1 Meenaxi english medium school, Pune (8800537222)
1 Rajashree Chatrapati Shahu College, Kolhapur (0231 265 4658)
1 Chate coaching classes, Kolhapur (093266 14436)
1 MDJIT Polytechnic, Bhose (0233 225 7544)
1 Dnyanashree Institute of Engineering and Technology, Satara (086000 09009)
1 Arts, Commerce & sci. college, Kowad,Chandgad (91 2320 –224661)
1 Rahimatpur Junior college(02163230315),(91-9096200208)
1 Y.C.College, Warananagar (Golgire S.N. 8788895262)
1 D.Y.Patil Diploma college, Kolhapur (0231 260 1436)
Sharad institute of technology college of engineering, Yadrav (Dr.Kishorkumar 1 khot 7776877575)
1 Karad Government Polytechnic college, Karad (02164 – 271462)
1 PDVP College, Tasgaon (02346 250 665) 2015-2016 (M.Sc.) 1 KBP college, Islampur ( 02342 221 778) 1 Ashokrao Mane Polytechnic, Vathar (0230 240 7740)
1 Sanjay Ghodawat university, Kolhapur (090110 39800)
1 New college, Kolhapur (Mr. Gidde Kapil Prabhakar 9371644880)
1 Chate School, Kolhapur (093266 14440)
1 Department of Technology, SUK (0231 202 0022)
1 Self Employer (Savali heights construction, Pune)(91-8380083933)
1 O Data IT Solution, Kolhapur(416-860-3500)
1 Ashokrao Mane Polytechnic, Vathar (0230 240 7740)
1 D. Y. Patil College of Engineering, Salokhe Nagar, Kolhapur (0231 232 0914)
1 Infosys Pvt. Ltd, Pune (+91 20 2293 2800 )
2 Maestro Intellect Pvt Ltd, Pune (080876 01850)
1 Payas Media, Pune (073910 08833)
1 New college, Kolhapur (0231-2621187 /2621180)
1 HDFC Life Insurance Bank, Mumbai
1 New Model English School, Kolhapur (0231 265 7063)
1 Mind Codes System, Pune (094454 99290) 2015-2016 (M.Sc.Tech.) 1 RNPC College, Indoli (2164 - 2164654155)
1 Parvatibai More Mahila Mahavidyalaya, Saravade (Sutar J.S. 02321-236203)
1 Shivraj Junior college, Murgud(912325264342)
2 Sharad Institute of Technology,Ichalkaranji (02322 253 000)
1 Y.D.Mane Institute of Technology, Kagal (098505 15603)
2 D.R.Mane college,Kagal (02325 244 176)
1 Vivekanand college, Kolhapur (Patankar S.P. 9850055519) 2016-2017 (M.Sc.) 1 Hanmantrao Charitable Trust, Adarsh College,Vita,Sangli (02347 229 191) 2 Y.C.institute of science, Satara (02162 236 151)
1 Sanjay Ghodawat, Kolhapur (0230 246 3700)
1 Rajaram College, Kolhapur (0231 253 7840)
2 Bhogavati Mahavidyalaya, Kurukali (0231 238 7004)
1 Y.C.College, Karad (02164 271 356)
1 Viva college, Mumbai (0250 251 5277)
1 Balwant College, Vita(Jagatap N.S. 9960116350)
1 Sanjay Ghodawat University, Kolhapur (Salgare S.S. 9284012696)
1 Lata Software, Kolhapur (Pankaj Dixit 9422044832)
1 Jay Bharat Highschool, Kolhapur ((0231) 2662449)
Balasaheb Desai Junior college,Patan
1 (Principal-S. D. Pawar 9527311805)
1 Gokhale college, Kolhapur (0231 264 2540)
1 Krishna Mahavidyalaya, Rethare (02164-266346/266347)
1 MPHASIS, Pune (020 4014 1000)
1 Manorama Infosolutions, Pvt Ltd., Kolhapur (073910 08833)
1 Apex Market Research, Pune (081494 41100) 2016-2017 (M.Sc.Tech) 1 L.B.S. College,Satara ((02162)237986
1 TCS, Mumbai (R.B.Sigonporia 022 67789999)
1 Ekdant Classes,Nagthane (Ganesh Bhosale 9028421919)
1 Shree classes, Patan, Satara(91-9766671498)
1 Netaji Subhashchandra bose academy, Wai, Satara (Vijay Pawar 9922885977)
1 Jaysingpur College,Jaysingpur (02322)(225381) 2017-2018 (M.Sc.) 1 K.H.College,Gargoti(Khopade 9923069637) Sharad institute of technology college of engineering, Yadrav(Dr.Kishorkumar 1 khot 7776877575)
1 Bhogavati Mahavidyalay , Kurukuli (0231 238 7004)
1 Y.C.College, Warananagar (Golgire S.N. 8788895262)
1 Gurukul Academy , Rahimatpur (Gurukul Acadamy 02163230852)
1 New college, Kolhapur (Mr. Gidde Kapil Prabhakar 9371644880)
1 Willingdon college, Sangli (CHB Lecturer) (0233 302 5154)
Datta vidyalaya highschool, Nrusinhwadi, Kolhapur (Gajanan Narayan Pujari 1 9881982570)
1 Anand English School, Satara (02162 282480)
1 Balasaheb Desai College, Patan (Jadhav N.G. 9881339173)
1 Satyagraha Mahavidyalaya, Kharghar, Navi Mumbai (099309 58025)
1 FIGmd Pvt. Ltd (+91 (20) 66879000)
1 Radhabai Shinde English Medium School, Kolhapur 0231 252 4553
1 RA.NA. SAMANI VIDYALAYA, Kolhapur (+91 231 2625228)
1 Talent Battle Pvt., Ltd, Kolhapur (+91-8459943139)
1 Dudhsakhar Mahavidyalay, Bidri 2017-2018 (M.Sc.Tech) 1 Stadewors Comnapy, Baner, Pune
Sr.No. Year Course Median Salary (Per month)(In Rupees) 1 2014-15 M.Sc. 7000 M.Sc. Tech 7000 2 2015-16 M.Sc. 14500 M.Sc. Tech 10000 3 2016-17 M.Sc. 18000 M.Sc. Tech 6700 4 2017-18 M.Sc. 8000 M.Sc. Tech 10000
12) Details of MoUs and Linkages. Nil 13) Extra curricular and Extension activities. Invited Talks Lecture Series National Conferences and Workshops NET/SET Workshop sponsored by UGC. UGC Remedial Coaching Scheme. Counseling Sessions for Distance Mode Students. Orientation Programs for newly admitted students Poster Presentations and Seminar Competitions Cultural & Sports activities National Science Day Teachers’ Day National Mathematics Day National Service Scheme (NSS) Blood Donation Camp Alumni Meet Parents’ Meet
14) List of Distinguished Alumni.
Ushadevi Narendra Bhosle INSA Senior Scientist, Indian Statistical Institute, Bangalore AMBA KULKARNI Professor and Head Department of Sanskrit Studies University of Hyderabad Rajendra Akerkar Researcher and Professor of Big Data Technologies at Western Norway Research Institute (Vestlandsforsking), Norway Mahesh Narayan Dumaldar Associate Professor at School of Mathematics, Devi Ahilya University, Indore Anilkumar Awati Software Quality Engineer Cognizant Technology Solutions India Pvt Ltd, Pune Sanjay R. More Project Leader at Titbit Interactive Systems Pvt Ltd., Pune
15) Future roadmap of the department.
2019 New Elective Courses. Syllabus up-gradation Collaborative Research Programs. Research Projects. National Conference
2020 Collaborative Research Programs. Syllabus up-gradation Research Projects. Second phase of DST FIST. Faculty Development Programme Value Added Courses
2021 New Elective Courses. Collaborative Research Programs. Syllabus up-gradation Research Projects. National Conference
2022 Collaborative Research Projects. Special Assistance Program (DRS – I). MOU with other Departments of University. Refresher Course Value Added Courses
2023 New Elective Courses. Collaborative Research Programs. Research Projects. High performance computing laboratory International Conference
16) Media coverage of the Department.