Department of Mathematics
<<< Back

 

About Us | Admissions | Faculty | Projects completed | PH.D. AWARDED SINCE 1990

 

About Us

Department of Mathematics was established in the year 1963 under the headship of Dr B.S. Fadnis. The post graduate students in Mathematics are encouraged to carry out research work leading to the award of Ph.d. of Rashtrasant Tukadoji Maharaj, Nagpur University. The department has presently nine sanctioned teaching staff comprising of two Professors, three Readers and Four Lecturers. However, due to the superannuation of some faculty members, the present strength is reduced to seven. Research projects have been awarded to the faculty carrying out research work in various fields in Mathematics. Since, then the department has been active updating the curriculum and encouraging research. Various fields of Mathematics in which research is being carried out which includes Relativity, Cosmology, Fluid Mechanics, Thermoelasticity, Operational research, Magneto-hydrodynamics, Topology, Algebra. Recently the department also conducted M.Phil. Course. Faculty of the department actively involved in various academic activities Nationally and Internationally.
 

Top

Departmental Profile:

Name of the Head of the Department

Dr. Kishor C. Deshmukh

Professor and Head
Post Graduate Teaching Department of
Mathematics, R.T.M.Nagpur University Campus,
Nagpur – 440 033.
Ph. 0712-2500575, Mob. 09665062708
Email: kcdeshmukh2000@rediffmail.com
Courses: M.Sc. Mathematics (Four Semesters) and Ph.D. by Research
Intake capacity- 60 per semester.
Courses: M.Sc.: Four Semesters
 

Top

Semester pattern scheme of examination for M.Sc. in Mathematics

Semester

Papers

University Exam

Marks -Credits

Internal Assessment

Marks     -      Credits

Total

Marks    -   Credits

Grand Total

Marks   -  Credits

2500    -       100

1

4  Compulsory

1 Elective

5X100       -          5X4

5X25      -           5X1

625        -           25

 

2

4  Compulsory

1  Elective

5X100       -          5X4

5X25      -           5X1

625        -           25

 

3

2  Compulsory

3  Elective

5X100       -          5X4

5X25      -           5X1

625        -           25

 

4

2  Compulsory

3  Elective

5X100       -          5X4

5X25      -           5X1

625        -           25

 

 

 Periods Allotted per week per paper : 05 Hrs.


M. Sc. Semester-I
Compulsory Papers

1. Paper I Algebra-I
2. Paper II Real Analysis-I
3. Paper III Topology-I
4. Paper IV Linear Algebra and differential equations
 

Optional Papers (Any One)

5. Paper V Numerical Analysis
6. Paper VI Integral Equations
7. Paper VII Fuzzy Mathematics-I


M. Sc. Semester-II
Compulsory Papers

1. Paper I Algebra-II
2. Paper II Real Analysis-II
3. Paper III Topology-II
4. Paper-IV Differential geometry

Optional Papers (Any One)

5. Paper-V Classical Mechanics
6. Paper VI Mathematical Methods
7. Paper VII Fuzzy Mathematics-II
 

M. Sc. Semester-III
Compulsory Papers


1. Paper I Complex Analysis
2. Paper II Functional Analysis

Optional Papers (Any three)

3. Paper-III Fluid Dynamics-I
4. Paper- IV General Relativity
5. Paper-V Operations Research-I
6. Paper VI Algebraic Topology-I
7. Paper- VII Operator Theory
8. Paper –VIII Non-linear programming
9. Paper IX MATLAB Programming

M. Sc. Semester-IV
Compulsory Papers

1. Paper-I Dynamical Systems
2. Paper-II Partial Differential Equations

Optional Papers (Any three)

3. Paper-III Fluid Mechanics-II
4. Paper-IV Cosmology
5. Paper V Operations Research-II
6. Paper VI Advanced Algebra
7. Paper VII Algebraic Topology-II
8. Paper- VIII Banach Algebras
9. Paper – IX Computational Fluid Dynamics

Top

Admissions:
(Eligibility, General Procedure)
For admission to M.Sc. semester I course the candidate must have passed B.Sc. examination with Mathematics as one of the subjects. Candidates are admitted on merit basis i.e. aggregate in B.Sc. exam and class wise (B.Sc. I, II, III) marks obtained in Mathematics.
 

Top

Teaching Faculty:

  Name Designation
1. Dr. K. C. Deshmukh Professor
2. Dr. R. V. Saraykar Professor (CAS)
3. Dr. N. W. Khobragade Professor
4. Dr. G. S. Khadekar Professor (CAS)
5. Dr. M. S. Borkar Associate Professor
6. Dr. S. H. Ghate Associate Professor (CAS)
7. Dr. (Mrs) S. A. Meshram Associate Professor (CAS)
     

 


Faculty Profile

(i) Dr. K. C. Deshmukh

Dr. K. C. Deshmukh is working as Professor and Head, Department of Mathematics and is having 27 years of teaching experience in undergraduate level in Engg. College and postgraduate level in University.

Dr. Deshmukh published 87 research papers in National and International journal of having good impact factor. Presently 10 students are working under his guidance for their Ph.d. work. He guided 14 students for Ph.d. work. Six students have also completed M.Phil. Dissertation under his supervision. He is carrying out his research work in the field of thermoelasticity having the applications in Mechanical and Aerospace Engg.. Dr. Deshmukh has completed two major research project successfully sanctioned by U.G.C., New Delhi and currently he is working on one major research project.
Contact no. 9665062708
Email: kcdeshmukh2000@rediffmail.com
 


(ii) Dr. R. V. Saraykar


Dr. R. V. Saraykar is working as Professor in Department of Mathematics and is having 36 years of teaching experience in postgraduate level in University.

Dr. Saraykar published 31 research papers in National and International journal of having good impact factor. Presently 04 students are working under his guidance for their Ph.d. work. He guided 04 students for Ph.d. work. He is carrying out his research work in the field of Theory of Relativity, Fluid Dynamics. He visited the University of Natal at Durban, South Africa in 1995.
Contact no. 9923111526
Email: ravindra.saraykar@gmail.com
 


(iii) Dr. G. S. Khadekar

Dr. G. S. Khadekar is working as Professor in Department of Mathematics and is having 22 years of teaching experience in undergraduate level in Engg. College as well as postgraduate level in University.

Dr. Khadekar published 70 research papers in National and International journal of having good impact factor. Presently 10 students are working under his guidance for their Ph.d. work. He guided 10 students for Ph.d. work. Six students have also completed M.Phil. Dissertation under his supervision. He is carrying out his research work in the field of General Theory of Relativity and Cosmology, Higher Dimensional space-time, Alternatives theory of Gravitation. Dr Khadekar has completed one minor research project successfully sanctioned by U.G.C. New Delhi and two minor research project sanctioned by Govt. of Iran and Turkey. He visited Turkey, France, Germany, Italy, U.S.A. and Iran, Russia.
Contact no. 9011323123
Email: gkkhadekar@yahoo.com, gkhadekar@rediffmail.com

 


(iv) Dr. N. W. Khobragade

Dr. N. W. Khobragade is working as Professor in the Department of Mathematics and is having 28 years of teaching experience in postgraduate level in University.

Dr. Khobragade published 180 research papers in National and International journal. Presently 06 students are working under his guidance for their Ph.d. work. He guided 11 students for Ph.d. work. Thirteen students have also completed M.Phil. Dissertation under his supervision. He is carrying out his research work in the field of Thermoelasticity and Operational Research. Dr. Khobragade has completed one major research project successfully sanctioned by U.G.C., New Delhi and currently he is working on one major research project.
Contact no. 9730776567
Email: khobragadenw@gmail.com
 


(v) Dr. M. S. Borkar

Dr. M. S. Borkar is working as a Associate Professor in Mathematics and is having 27 years of teaching experience at Post-graduate level at University.

Dr. Borkar published 25 research papers at National and International levell of having good impact factor. Presently 03 students are working under his guidance for their Ph.d. work. He produced 01 Ph.d student. Four students have also completed M.Phil. Dissertation under his supervision. He is carrying out his research work in the field of Relativity, Operational Research. Dr. Borkar has completed one minor research project successfully and at present, he is running Major research Project sanctioned by U.G.C. New Delhi.
Contact no. 7798155871
Email: borkar.mukund@rediffmail.com
 


(vi) Dr. S. H. Ghate

Dr. S. H. Ghate is working as a Associate Professor in the Department of Mathematics and is having 33 years of teaching experience in postgraduate level in University.
Dr. Ghate has published 10 research papers in National and International journal of having good impact factor. Presently 02 students are working under his guidance for their Ph.D. work. He has successfully guided 02 students for Ph.D. work. He is carrying out his research work in the field of Algebra, Relativity, Economics and Fluid Mechanics. He has visited Indiana University, Bloomington as visiting fellow.
Contact no. 0712-2570690, 8806664849
 


(vii) Dr. (Mrs) S. A. Meshram

Dr. (Mrs) S. A. Meshram is working as a Associate Professor in Department of Mathematics and is having 27 years of teaching experience postgraduate level in University.
Dr. Meshram published 24 research papers in National and International journal. Presently 06 students are working under her guidance for their Ph.D. work. She is carrying out her research work in the field of Thermoelasticity , Solid Mechanics and Cryptography. Dr Meshram has completed one minor research project successfully sanctioned by U.G.C. New Delhi.

Contact no. 8390641675, Email: amruta1010@gmail.com
 


Project Sanctioned by UGC:

Name of Teacher

Title of the project

 

Duration

Funding

Agency

Amount

Dr. N. W. Khobragade

Study of direct and inverse thermoelastic problems

 

01.04.2007 to 31.03.2010

U.G.C.

Rs.5,62,100=00

Dr. K. C. Deshmukh

Critical study of some Thermoelastic problems

01.04.2007 to  31.03.2010

 

U.G.C.

Rs.4,31,600=00       

Dr. M. S. Borkar

Study of some cosmological  Models

01.04.2007 to 31.03.2009

 

U.G.C.

Rs.1,00,000=00      

Dr .Mrs. S. A. Meshram

Study of heat conduction Problem in some solids and                                        

01.04.2007 to 31.03.2009

U.G.C.

Rs.1,00,000=00       

Top

Projects completed:
 

  1. “Some Aspects of Thermoelastic Problems” sanctioned by University Grant Commission, New Delhi, India, for three years duration i.e. 1st July 2003 to 30th June 2006. of Rs. 4.5 Lakhs ; The Principal Investigator Dr K. C. Deshmukh
     

  2. Minor Research Project on: “Wesson Theory of Gravitation” sanctioned by University Grant Commission, New Delhi, India.
    The above Minor research project of Rs. 30,000/- (Thirty thousand only) was successfully completed in the year 2004 by Dr. G.S.Khadekar
     

  3. Minor Research Project on “Structure Consideration of Top Space” International Grant from Mahan Mathematical research center, Kerman, Iran.
    This minor research project in collaborating with Department of Mathematics, Kerman University, Kerman, IRAN is successfully completed. By Dr. G. S. Khadekar Duration one year (2003-2004) Amount: $ 500.
     


Ongoing Project

University Grants Commission New Delhi sanctioned THREE Major Research Project of Rs 20,88, 600 /- for three years duration i.e. 1-4-2011 to 31 03-2013. The details are as under :

Name of Principal Investigator Title of the Project Sanction Amount
1. Dr K.C.Deshmukh , “ Study of some direct and indirect heat conduction problems in solids and their thermal behavior’’ Rs 5,28,000 /-

2. Dr M.S.Borkar “ The Study of cosmological modelsin Einetein and in Rosen theory of gravitation ’’ Rs 8,08,800 /-

3. Dr N.W.Khobragade “ Critical study of thermoelastic problems on different solids ’’ Rs 7,51,800 /-.


SPECIAL ASSISTANCE PROGRAMME
University Grants Commission , New Delhi has sanctioned the Assistance to the Department of Mathematics, R.T.M. Nagpur University, Nagpur at the level of DRS- I for Five years i.e. 01-04-2011 to 31-03-2016 under the Special Assistance Programme ( SAP ).

The proposal of the Department of Mathematics was examined by the Expert Committee on 15th Feb , 2011 at UGC office , New Delhi and after a very careful and critical in-depth examination of the academic achievement of the Department, the Expert Committee recommended the Department for consideration by the Commission to support the Department at the level of DRS-I.

This Special Assistance Programme is intended through constants efforts to raise the quality of teaching and research in different disciplines in Sciences in general and in Mathematics particular. The essence and primary aim of the scheme is combination of teaching and research to encourage group research efforts in pursuit of excellence.

Special Assistance Programme have identified for major two thrust areas :

  1. Boundary value problems in Thermoelasticity
  2. General theory of Relativity and Cosmology.

Dr K.C.Deshmukh and Dr R.V.Saraykar are nominated as the Co-ordinator and Deputy Co-ordinator ,respectively by UGC for functioning of the SAP programme.

The financial assistance approved for implementing the present phase at the level of DRS-I for a period of Five years i.e. 01-04-2011 to 31-03-2016 is of Rs 23.50 Lakh plus one Project Fellow @ Rs 8000 /- per month. The sanction SAP programme is very prestigious to the Department in particular and University in general. Department of Mathematics is the Fourth Department in the University which has been sanctioned SAP – assistance.

Dr R.D.Giri , Retired Professor of Mathematics , Mumbai University , Mumbai joined as a Emeritus Professor in Department of Mathematics , R.T.M. Nagpur University , Nagpur on 18-06-2011 for Two years.

Top

PH.D. AWARDED SINCE 1990

S. NO. Name of Candidate Name of Supervisor Subject/Specialization Year of Ph.D. awarded
1. S.D. Mohgaonkar R. V. Saraykar Mathematics ( Fluid Dynamics ) 1991
2. V. G. Bujade R.D.Giri

Mathematics ( Algebra )

1997
3 A. K. Modi R.D.Giri Mathematics ( Algebra ) 1997
4. Prabhat Kumar P. C. Wankhede Mathematics ( Thermo- elasticity ) 1998
5. K. C. Deshmukh P. C. Wankhede Mathematics ( Thermo- elasticity ) 1998
6 Miss S. Tiwari R.D.Giri Mathematics ( Algebra ) 1998
7 Mr. Bhattacharya T. M. Karade Mathematics ( General Relativity ) 1999
8. K. T. Thomas T. M. Karade Mathematics ( General Relativity ) 2000
9. D. T. Deshmukh P.C. Wankhede Mathematics ( Thermo- elasticity ) 2001
10 K. D. Thengane T. M. Karade Mathematics ( General Relativity ) 2001
11 P. S. Muktibodh R. V. Saraykar Mathematics ( General Relativity ) 2001
11. M.S.Borkar T.M.Karade Mathematics ( General Relativity ) 2002
12 S. G. Ingale K.C.Deshmukh Mathematics (Thermo- elasticity) 2002
13 K. D. Patil S. H. Ghate Mathematics ( General Relativity ) 2002
14 Megha Joshi G.S.Khadekar  Mathematics (General Relativity ) 2002
15 N.W.Khobragade P.C. Wankhede Mathematics ( Thermo- elasticity ) 2003
16. Mrs. S.A.Meshram K.C.Deshmukh Mathematics (Thermo- elasticity) 2003
17. B.G.Ambatkar T.M.Karade Mathematics ( General Relativity ) 2003
18. A.R.Nagpure G.S.Khadekar Mathematics (General Relativity ) 2003
19. M.N.Gaikwad K.C.Deshmukh Mathematics (Thermo- elasticity) 2004
20. Mrs. M.V.Nahatkar T.M.Karade Mathematics ( General Relativity ) 2004
21. H.R.Virulkar T.M.Karade Mathematics ( General Relativity ) 2004
22. A.B.Buradkar K.C.Deshmukh Mathematics (Thermo- elasticity) 2004
23. S.R.Kadhau T.M.Karade Mathematics ( General Relativity ) 2004
24. R.W.Warade K.C.Deshmukh Mathematics (Thermo- elasticity) 2004
25 S. P. Kandalkar G.S.Khadekar Mathematics (General Relativity ) 2004
26. V.S.Gogulwar K.C.Deshmukh  Mathematics (Thermo- elasticity) 2005
27 Mrs. B.P.Butey G.S.Khadekar Mathematics (General Relativity ) 2005
28 N.L.Khobragade K.C.Deshmukh Mathematics (Thermo- elasticity) 2006
29 A.K.Tikhe K.C.Deshmukh Mathematics (Thermo- elasticity) 2006
30. K.P.Ghadle N.W.Khobragade Mathematics( Thermo- elasticity ) 2007
31 K. W. Khobragade N.W.Khobragade Mathematics ( Thermo- elasticity ) 2007
32. S.B.Sarwe R.V.Saraykar  Mathematics ( General Relativity ) 2007
33. S D Tade G.S.Khadekar Mathematics (General Relativity ) 2007
34. A  G  Avachar G S Khadekar  Mathematics (General Relativity ) 2007
35. Shilpa  Samdurkar G S Khadekar Mathematics (General Relativity) 2007
36. V A Patki G S Khadekar Mathematics (General Relativity ) 2007
37. A.A.Navlekar N.W.Khobragade Mathematics ( Thermo- elasticity ) 2008
38. S.S.Singru N.W.Khobragade Mathematics ( Thermo- elasticity ) 2008
39. L.H.Khalsa N.W.Khobragade Mathematics ( Thermo- elasticity ) 2008
40. Sujatha Janardhan R.V.Saraykar Mathematics ( General Relativity ) 2008
41. G.L.Waghmare K.C.Deshmukh Mathematics (Integral Transform  ) 2008
42 V.S.Kulkarni K.C.Deshmukh Mathematics ( Thermoelasticity ) 2008
43. V. Varghese N.W.Khobragade Mathematics ( Thermo- elasticity ) 2009
44 Gopal  Kondawar G S Khadekar Mathematics (General Relativity ) 2009
45 Yogita Badwaik K.C.Deshmukh Mathematics ( Generalised  Fns.) 2009
46 S.S. Charjan M.S.Borkar Mathematics  ( Relativity ) 2010
47 S. D. Warbhe K.C.Deshmukh Mathematics ( Thermoelasticity ) 2011
48   A.S.      Muktibodh S.H.Ghate Algebra 2012
49 D.K.Meshram N.W.Khobragade Mathematics ( Thermo- elasticity ) 2012
50  G.D. Kedar K.C.Deshmukh Mathematics ( Thermoelasticity ) 2012
51 Vaishali Kamdi G S Khadekar Physics (General Relativity ) 2012
52 M. H. Durge N.W.Khobragade Mathematics ( Thermo- elasticity ) 2008
53 M. S. Warbhe N.W.Khobragade Mathematics ( Thermo- elasticity ) 2009
54 W. K. Dange N.W.Khobragade Mathematics ( Thermo- elasticity ) 2012
55 Pravina Salve S. A. Meshram Mathematics ( Thermo- elasticity ) 2012
56 Yusuf Iqbal Quazi K.C.Deshmukh Mathematics (Thermo Elasticity) 2012

Top

HEADS OF THE DEPARTMENT : SINCE 1963 -

Sr. No. Name of Heads Designation Duration
1. Dr. B.S. Fadnis Professor 1963 – 1983
2. Dr. N.E. Joshi Professor 1983 – 1986
3. Dr. T.M. Karade Professor 1986 – 1989
4. Dr. N.E. Joshi Professor 1989 – 1991
5. Dr. D.G. Deshpande D. Professor 1991 – 1994
6. Dr. P.C. Wankhede Professor 1994 – 1998
7. Dr. T.M. Karade Professor 1998 – 2001
8. Dr. K.C. Deshmukh Reader 2-5-2001 – 1-5-2006
9. Dr. G. S. Khadekar Reader 2-5-2006 –  25-2-2007
10 Dr. R. V. Saraykar Professor 26-2-2007 – 17-11-2010
11 Dr. K.C. Deshmukh Professor 18-11-2010-

Top

 

<<< Back