Gulbarga University, Kalaburagi
Vidyeye Amrutha

Translates as "Education is Nector"

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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

Code

Hard Core Course

Code

Hard Core Course

HCT 1.1

Real Analysis

HCT 2.1

Partial Differential Equations

HCT 1.2

Algebra - I

HCT 2.2

Algebra - II

HCT 1.3

Ordinary Differential Equations

HCT 2.3

Programming in C

HCT 1.4

Discrete Mathematics

 

Soft Core Course (Any One)

HCT 1.5

General Topology

SCT 2.1

Complex analysis

 

Soft Core Course (any one)

SCT 2.2

Atmospheric Science

SCT 1.1

Classical Mechanics

 

Open Elective

SCT 1.2

Fuzzy sets and Fuzzy systems

OET 2.1

Operations Research - I

 

 

 

Practical

 

 

HCP 2.3

Programming in C

 

 

OEP 2.1

Operations Research - I

III Semester

IV Semester

Code

Hard Core Course

Code

Hard Core Course

HCT 3.1

Functional Analysis           

HCT 4.1

Measure Theory

HCT 3.2

Graph Theory - I

HCT 4.2

Graph Theory - II

HCT 3.3

Computational Numerical Methods-I

HCT 4.3

Computational Numerical Methods - II

 

Soft Core Course (Any One)

HCT 4.4

Differential Geometry

SCT 3.1

Fluid Mechanics - I

 

Soft Core Course (Any One)

SCT 3.2

Computer Aided Geometric Design

SCT 4.1

Fluid Mechanics - II

 

Open Elective

SCT 4.2

Computational Fluid Dynamics

OET 3.1

Operations Research - II

HCMP 4.5

Minor Project Report

Report Evaluation = 60

Viva – Voce = 20

 

Practicals

 

 

HCP 3.3

Computational Numerical Methods-I

 

 

OEP 3.1

Operations Research - II

 

 

 

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  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 & Chairman 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

-

 

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.

The 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.