Gulbarga University
Year of establishment: 1980-81
Gulbarga - 585 106, Karnataka State - India
Department Of P.G. Studies And Research In Mathematics

Department Of P.G. Studies And Research In Mathematics
Courses Offered
Course
Intake
Duration
Eligibility
M.Sc.
40
Four Semesters (2 Years)
B.A. / B.Sc. (Mathematics as one of the major optionals)
M.Phil.
10 + 10
One year (Full time)
Two years (Part time)
M.A. / M.Sc. in Mathematics
Ph.D.
10
Minimum 3 years
Maximum 5 years
M.A. / M.Sc. / M.Phil. in Mathematics
Fee Structure: (See Fee Notification)
Course Outline (MA / M.Sc. Mathematics)
I Semester
II Semester
1.1
Real Analysis
2.1
Complex Analysis
1.2
Algebra - I
2.2
Algebra - II
1.3
Ordinary Differential Equations
2.3
Partial Differential Equations
1.4
Mechanics
2.4
Topology
1.5
Discrete Mathematics
2.5
Introduction to computer and C Programming
III Semester
IV Semester
3.1
Mathematical Methods
4.1
Measure Theory
3.2
Differential Geometry
4.2
Functional Analysis
3.3
Numerical Analysis - I
4.3
Numerical Analysis - II
3.4
Graph Theory - I (Optional)
4.4
Graph Theory - II (Optional)
3.5
Fluid Mechanics - I (Optional)
4.5
Fluid Mechanics – II (Optional)
3.6
Fuzzy sets and Fuzzy Systems - I (Optional)
4.6
Fuzzy sets and Fuzzy Systems – II (Optional)
3.7
Advanced Topoloy (Optional)
4.7
Advanced Topology (Optional)
Faculty
S. No.
Name / Phone No. / E-mail
Designation
Qualification
Specialization
1
Dr. C. Sulochana
+91 8472 247952 (R)
+91 9449985841 (Cell)
sulo_laxman@yahoo.co.in
Professor
M.Sc., M.Phil., Ph. D.
Fluid Mechanics, Heat and Mass Transfer
2
Dr. M. H. Muddebihal
+91 8472 (R)
+91 9449177697 (Cell)
mhmuddebihal@yahoo.co.in
Professor & Chairman
M.Sc., Ph.D.
Graph Theory, Discrete Mathematics

3

 

Dr. N. B. Naduvinamani
+91 8472 246845 (R)
+91 9448650611 (Cell)
naduvinamaninb@yahoo.co.in

 

Professor

 

 

 

M.Sc., Ph.D., P.G.D.C.A.

 

 

Lubrication of synovial joints, flow through porous media, Tribology, Fuzzy Systems, History of Mathematics

 

4
Dr. J. C. Umavathi
+91 8472 249288 (R)
+91 9449619055 (Cell)
jcumavathi@yahoo.co.uk
Professor
M.Sc., Ph.D.
Fluid Mechanics, Heat and Mass Transfer, Flow through porous media, MHD flows
5
Dr. S. N. Gaikwad
+91 8472 249672 (R)
+91 9449907204 (Cell)
sngaikwadmaths@yahoo.co.in
Professor
M.Sc., M.Phil., Ph.D.
Fluid Mechanics, Convection flows
6
Dr. J. Prathapkumar
+91 8472 255279 (R)
+91 9343225279 (Cell)
p_rathap@yahoo.co.in
Professor
M.Sc., M.Phil., P.G.D.C.A., Ph.D.
Fluid Mechanics, MHD Flows, Convection and Numerical Analysis
Thrust Area
Fluid Mechanics, Discrete Mathematics, Graph Theory, Bio Mechanics, Algebra and Topology, Fuzzy Sets and Fuzzy Systems, Operations Research
Research Projects
On going
S. No.
Title of the Project
Name of the Principle Investigator
Funding Agency
Duration
Amount sanctioned in Lakhs
1
Mathematical Analysis on some aspects of momentum heat and mass transfer in non-Newtonian boundary layer flows
Dr. M. Subhas Abel
DST
2005 - 2008
9.96
2
Theoretical Study of non - Newtonian Effects of lubricants and the stability of bearings
Dr. N. B. Naduvinamani
UGC
2006 - 2009
4.16
3
Special Assistance Programme (SAP) – DRS - II
Dr. M.S. Malashetty
(Departmental Project)
UGC
2007 - 2012
29.00
Completed
S. No.
Title of the Project
Name of the Principle Investigator
Funding Agency
Duration
Amount sanctioned in Lakhs
1
Special Assistance Programme (SAP) – DRS - project.
Dr. M.S. Malashetty
(Departmental Project)
UGC
2002 - 2007
30.00
2
Analysis of Rough Porous Bearings and Some Aspects of PEHL
Dr. N.B. Naduvinamani
UGC
1998 - 2001
3.75
Research Publications / Books
1
International
2
National
3
Any others
4
Books
Research Guidance
1
Ph.D.
60
2
M.Phil.
85
Workshops / Seminars / Conferences Organized
1
National Seminar on Recent Advances in Fluid Mechanics, Sponsored by University Grants Commission, New Delhi, September 11th & 12th, 2002
2
National Conference on Advances in Fluid Mechanics, Sponsored by University Grants Commission, New Delhi, February, 5th & 6th, 2004
3
International Conference on Advances in Applied Mathematics, Sponsored by University Grants Commission, New Delhi, February, 24th & 26th, 2005
4
National Conference on Applied Mathematics, Sponsored by University Grants Commission, New Delhi, February, 7th & 8th, 2006
Facilities Available
The department has a well-equipped computer center to provide computer-aided instructions to the students. The special lectures, conferences, workshops, refresher courses, seminars, quiz programs and science exhibitions are conducted regularly. It is also well equipped with audio visual aids for effective teaching.

he department has exclusive computing facilities with Pentium-III, Pentium –IV systems, Laser Printers for research and teaching. The advanced software like MATHEMATICA and MATLAB are available in the laboratory. The department has OHPs, LCD projector; photocopy machine and audio video system.
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