|
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.
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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
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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
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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.
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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 |
|
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Projects completed:
-
“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
-
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
-
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 :
- Boundary value problems in Thermoelasticity
- 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.
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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 |
|
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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- |
|
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|