Rashtrasant Tukadoji Maharaj Nagpur University. Formerly known as nagpur university. Accredited with grade A by NACC

Department of Mathematics


About us

Photo of Mathematics Department

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 Tukdoji 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.
 

Courses

Courses
Courses offered Intake capacity
M.Sc. Mathematics (Four Semesters)
Ph.D. by Research
60 per semester
8 per teacher
Semester pattern scheme of examination for M.Sc. in Mathematics

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

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
1 4 Compulsory
1 Elective 5X100
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
Paper I :-    Algebra-I
Paper II :-   Real Analysis-I
Paper III :- Topology-I
Paper IV :-  Linear Algebra and differential equations

Optional Papers (Any One)
Paper V  :-    Numerical Analysis
Paper VI :-    Integral Equations
Paper VII :-   Fuzzy Mathematics-I

M. Sc. Semester-II
Compulsory Papers
Paper I :-    Algebra-II
Paper II :-   Real Analysis-II
Paper III :- Topology-II
Paper IV :-  Differential geometry

Optional Papers (Any One)
Paper V :-   Classical Mechanics
Paper VI :-  Mathematical Methods
Paper VII :- Fuzzy Mathematics II

M. Sc. Semester-III
Compulsory Papers
Paper I :- Complex Analysis
Paper II :- Functional Analysis

Optional :- Papers (Any Three)
Paper III :- Fluid Dynamics-I
Paper IV :- General Relativity
Paper V :- Operations Research-I
Paper VI :- Algebraic Topology-I
Paper VII :- Operator Theory
Paper VIII :- Nonlinear programming
Paper IX :- MATLAB Programming

M. Sc. Semester-IV
Compulsory Papers
Paper-I :- Dynamical Systems
Paper-II :- Partial Differential Equations

Optional Papers (Any Three)
Paper III :- Fluid Mechanics-II
Paper-IV :- Cosmology
Paper V :- Operations Research-II
Paper VI :- Advanced Algebra
Paper VII :- Algebraic Topology
Paper VIII :- Banach Algebras
Paper – IX :- Computational Fluid Dynamics
 

For Syllabus Click Here

List of Ph.D. Awarded (Maths)


Admission

Admission Procedure (Eligibility, General Procedure)
To take an admission for 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.

Faculty

HEAD OF THE DEPARTMENT

Faculty Profile
Dr. G. S. Khadekar
Professor

Coordinator (Mathematics, BOS) RTMNU

Contact: (Ph.) 0712-2042089 (m) 9011323123

Email: [email protected], [email protected]
Dr. G. S. Khadekar

Teaching Faculty

 

Teaching Faculty
Dr. G. S. Khedekar

Dr. G. S. Khadekar

Research Guidance

Professor (Curriculum Vitae)

Ph.D. Awarded

12

Research Interests: General Theory of Relativity and Cosmology

Pursuing Ph.D.

08

Contact: 9011323123

M. Phil. dissertation

06

Email: [email protected], [email protected]

Research Publications

70

 

Teaching Faculty
Dr. K. C. Deshmukh

Dr. K. C. Deshmukh

Research Guidance

Professor (Curriculum Vitae)

Ph.D. Awarded          

22

Research Interests: Thermoelasticity

Pursuing Ph.D.                       

00

Contact: 09665062708

M. Phil. dissertation      

06

Email: [email protected]

Research Publications      

127

 

Teaching Faculty
Dr. M. S. Borkar

Dr. M. S. Borkar

Research Guidance

Professor (Curriculum Vitae)

Ph.D. Awarded

02

Research Interests: Relativity, Operational Research

Pursuing Ph.D.

07

Contact: 7798155871

M. Phil. dissertation

04

Email: [email protected]

Research Publications

30

 

Teaching Faculty
Dr. S. A. Meshram

Dr. (Mrs.) S. A. Meshram

Research Guidance

Associate Professor (Curriculum Vitae)

Ph.D. Awarded

01

Research Interests: Thermoelasticity , Solid Mechanics and Cryptography

Pursuing Ph.D.   

06

Contact: 8390641675

M. Phil. dissertation

----

Email:

[email protected]

Research Publications

24

 

Teaching Faculty
Dr. G. D. Kedar

Dr. G. D. Kedar

Research Guidance

Professor (Curriculum Vitae)

Ph.D. Awarded

03

Research Interests: Thermoelasticity, Operational Research

Pursuing Ph.D.

06

Contact: 09422835129, 9511764844

M. Phil. dissertation

00

Email:

[email protected], [email protected]

Research Publications

39

Research

Research
Projects Completed

Projects Completed

Name of Prin. Inv.

Title of the project

Duration

Funding Agency

Amount (Rs.)

Dr. K. C. Deshmukh

Some Aspects of Thermoelastic Problems

2003 to 2006

U.G.C.

4,50,000.00

Dr. G. S. Khadekar

Wesson Theory of Gravitation

2004

U.G.C.

30,000.00

Dr. G. S. Khadekar

Structure Consideration of Top Space

2003-2004

M.M.R.C. Kerman, Iran

30,000.00

Dr. N. W. Khobragade

Study of direct and inverse thermoelastic problems

2007 to 2010

U.G.C.

5,62,100.00

Dr. K. C. Deshmukh

Critical study of some Thermoelastic problems

2007 to 2010

U.G.C.

4,31,600.00

Dr. M. S. Borkar

Study of some cosmological  Models

01.04.2007 to 31.03.2009

U.G.C.

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.

1,00,000.00

Dr. N. W. Khobragade

Critical study of thermoelastic problems on different solids                                        

2011-2014

U.G.C.

7,51,800.00

Dr. K. C. Deshmukh

Study of some direct and indirect heat conduction problems in solids and their thermal behavior                                        

2011-2014

U.G.C.

5,28,000.00

Dr. M. S. Borkar

The Study of cosmological modelsin Einetein and in Rosen theory of gravitation                                        

2011-2014

U.G.C.

8,08,800.00

Total (Rs.)

32,82,300.00

Projects Ongoing

Projects Ongoing

Name of Teacher

Title of the project

Duration

Funding Agency

Amount (Rs.)

Dr. G.D. Kedar

Innovative methods to prepare the mathematical models on some thermoelastic problems

2015-2017

U.G.C.

1,75,000.00


Research Papers

Research Papers
Sr. No. Title
1. Analysis of Thermo Elastic Behavior of Semi Infinite Rectangular Beam due to Heat Generation
2. Inverse Transient Thermo Elastic Problem of a Flat Thin Square Plate producing Deflection
3. Inverse Thermo Elastic problem of Semi Infinite Rectangular Beam due to Heat Generation
4. Deflection of a Thick Rectangular Plate
5. Thermo Elastic Problem of a Thin Rectangular Plate due to partially Distributed Heat Supply
6. Thermo Elastic Solution of a Semi Infinite Rectangular Beam due to Heat Generation
7. Thermal Stresses of a Semi Infinite Rectangular Beam
8. Thermal Deflection of a Thick Clamped Rectangular plate
9. Integral Transform Methods for Inverse problem of Heat Conduction with known Boundary of a thin Rectangular object and its stresses
10. Thermal Stresses of three dimensional thermo elastic problem of a thin Rectangular Plate
11. Thermo elastic solution of a thin circular plate due to partially distributed heat supply.
12. Thermo elastic Analysis on a Circular Plate subjected to distributed Annular Heat supply
13. Thermo elastic Analysis of a thin circular plate with radiation type conditions
14. Thermal Stresses of a thick Circular Plate due to Heat Generation
15. Thermal Deflection of a thin Circular Plate with radiation
16. Thermal Stresses in a thick Circular Plate with internal Heat Sources
17. Thermal Deflection of an Inverse Thermo elastic problem in a thin Circular Plate
18. Thermal Stresses in Isotropic thick Circular Plate Disk with Axisymmetric Heat Supply
19. Transient Thermo elastic problem of a Circular Plate with Heat Generation
20. Thermal Stresses of a thin Circular Plate with Internal Heat Source
21. Thermo elastic Analysis of a thick Circular Plate
22. Thermo elastic problem of a thin Annular Disc due to radiation
23. Thermal Deflection of a Clamped Annular Disc due to Heat Generation
24. Thermal Stresses of a thin Annular Disc by using Integral Transform
25. Thermo elastic Analysis of thick Annular Disc with radiation conditions.
26. Thermo elastic problem of an isotropic Circular Annular Fin
27. Temperature-dependent Thermal Stress determination of an isotropic Circular Annular Fin
28. Study of Magnetothermalelastic Interactions and Magnetic filed vector perturbations in Hollow Sphere of functionally graded material
29. Thermo elastic problem of a finite length Hollow Cylinder
30. Thermal Solution of a Semi Infinite Circular Beam due to Heat Generation
31. Thermo elastic Analysis of Thick Hollow Cylinder with radiation conditions
32. Thermal Stresses of a finite length Hollow Cylinder
33. Transient Termo elastic problem of a finite length Hollow Cylinder
34. Magnetothermodynamic Interactions and Magnetic Filed Vector perturbations in functionally graded Hollow Cylinder
35. Transient Thermo elastic problem of a cylinder with Heat Source
36. Uncoupled Thermo elastic Analysis for a thick Cylinder with radiation
37. Transient Thermo elastic problem of a Semi Infinite Cylinder with Heat Source
38. Stress Functions in a Hollow Cylinder under Heating and Cooling process
39. Study of Magnetothermodynamic Stress and perturbation of magnetic field vector in an Orthotropic Solid Cylinder
40. Thermal Deflection of a finite length Hollow Cylinder due to Heat Generation
41. Thermal Stresses of a Solid Cylinder with Internal Heat Source
42. Thermo elastic problem of a Semi Infinite Cylinder with Internal Heat Source
43. Thermo elastic Analysis of a Hollow Cylinder with radiation conditions
44. Thermo elastic Analysis of a Solid Circular Cylinder
45. Thermo elastic problem of a Cylinder with Internal Heat Sources
46. Final Project Report on Critical Study of Thermo elastic problems on different Solids (July 2011 - June 2014)

Events

Seminars/Conferences/Workshops organized

  • National Seminar on FUZZY MATHEMATICS during March 5-6, 2010 (Funded by UGC)
  • Workshop on MATHEMATICA during March 28-29, 2010.
  • National Seminar 2011-12 (Funded by UGC under SAP)
  • Workshop for M.Sc. students 2011-12 (Funded by RTMNU)
  • National Seminar 2012-13 (Under by UGC under SAP)
  • Workshop for M.Sc. students 2012-13 (Funded by RTMNU)
  • International Conference on Recent Advances in Mathematics (ICRAM-2014).
  • National Seminar 2014-15 (Under by UGC under SAP)
  • Workshop for M.Sc. students 2014-15 (Funded by RTMNU)