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Dept. of Studies in Mathematics

About the Department:

The Department of Mathematics, established in 2010, offers a variety of courses in mathematical thinking. The Department, studded with specialists in different fields, aims at training students for advanced studies in mathematical research, besides developing in them problem solving skills and critical ability to engage with the larger world outside. The Department offers M.Sc. and PhD programmes in Mathematics with as varied specializations as algebra, differential geometry, fluid mechanics and topology, differential equation (ODE & PDE), complex & numerical analysis, graph theory, physical applied mathematics. Our curriculum is designed to produce excellent mathematicians and also to meet their employable opportunities. We are committed to our discipline, the queen of the sciences. Our Department currently appoints 08 faculty, 10 Ph.D. students, 1 M. Phil. student  and 2 instructors. Our faculty have earned many awards, including the young scientist.

Our Building, now named the MBA building, first floor, following renovation, offers many shared spaces for student-faculty collaboration. For final year students, to work on a designated project that is presented to a faculty committee with other teams in a friendly competition. These are just some of the teaching and outreach that we do, in addition to the full research and seminar life of our faculty, doctoral, visiting faculty and master students. I invite you to learn more about the mathematical world as it thrives at Davangere University.

Mission

The mission of Mathematics Department is to have a long lasting impact of Mathematical Education on the society in order to imbibe the aid to Multidisciplinary streams, to come out as a leading department throughout India and getting worldwide recognition for the prominent research work.

Vision

The long term vision of the Mathematics Department is to mould and prepare budding mathematicians equipped with strong fundamental principles and logical understanding of Mathematics, to face the challenges of future and multidisciplinary environment providing aid to the real world problems.

Department of mathematics strives to cultivate hard work as well as smart work so as to be recognized as the intellectual academic body globally in all the aspects in order to support the best practices and provide opportunities to the researchers of this field.

Program Offered:

Sl.No.

Programmes

Nature and Duration

Eligibility

1

M. Sc. in Mathematics

FULLTIME

02 Years

B.Sc., with Mathematics as one of the Major Subject.

2

Ph. D.in Mathematics

FULLTIME

Minimum of 3 years

PART TIME

Minimum of 4 years

M.Sc., in  Mathematics with minimum 55% and NET/ SLET/M. Phil.

Course Structure:

 

Subject / Paper Code

Title of the Course

Instruction Hrs/ Week

Marks

Credits

Examination duration (Hrs)

Examination

Internal Assessment

Total Marks

SEMESTER – I

THEORY PAPERS

MT1.1

Algebra

4

70

30

100

4

3

MT1.2

Real Analysis – I

4

70

30

100

4

3

MT1.3

Topology

4

70

30

100

4

3

MT 1.4

Discrete Mathematics & C-Programming

4

70

30

100

4

3

MT1.5

Ordinary Differential Equations

4

70

30

100

4

3

PRACTICAL PAPERS

MP 1.6

Programming Lab-I

4

40

10

50

2

3

MP 1.7

Programming Lab – II

4

40

10

50

2

3

Mandatory Credits: English Language

Communication Skill

2

—

—

—

2

—

SEMESTER – II

THEORY PAPERS

MT 2.1

Linear Algebra

4

70

30

100

4

3

MT 2.2

Real Analysis – II

4

70

30

100

4

3

MT 2.3

Complex Analysis – I

4

70

30

100

4

3

MT 2.4

Partial Differential Equations

4

70

30

100

4

3

MT 2.5

Numerical Methods-I

4

70

30

100

4

3

PRACTICAL PAPERS

MP 2.6

Programming Lab – III

4

40

10

50

2

3

MP 2.7

Programming Lab – IV

4

40

10

50

2

3

Mandatory Credits: Computer Skill

2

—

—

—

2

—

SEMESTER – III

THEORY PAPERS

MT 3.1

Differential Geometry

4

70

30

100

4

3

MT 3.2

Complex Analysis – II

4

70

30

100

4

3

MT 3.3

Numerical Methods – II

4

70

30

100

4

3

MT 3.4

(a)       Advanced Graph Theory/

(b)       Advanced Topology/

(c)       Fuzzy Sets & Fuzzy Logic

4

70

30

100

4

3

MT 3.5

(a)       Fluid mechanics-I/

(b)       Advanced Partial Differential Equations/

(c)       Fractional Calculus

4

70

30

100

4

3

MT 3.6

Foundations of Mathematics

(Interdisciplinary-Elective paper)

2

40

10

50

2

2

PRACTICAL PAPERS

MP 3.7

Programming Lab- V

4

40

10

50

2

3

SEMESTER – IV

THEORY PAPERS

 

MT 4.1

Measure Theory and Integration

4

70

30

100

4

3

MT 4.2

Functional Analysis

4

70

30

100

4

3

MT 4.3

Operations Research

4

70

30

100

4

3

MT 4.4

(a)       Riemannian Geometry/

(b)       Nevanlinna Theory/

(c)       Ring Theory

4

70

30

100

4

3

MT 4.5

(a)       Fluid Mechanics – II/

(b)       Classical Mechanics/

(c)       Mathematical Methods

4

70

30

100

4

3

Project Work/ Report Writing

MT 4.6

Project

6

70

30

100

6

3

 

Mandatory Credits: Personality Development

2

—

—

—

2

—

 

Total Credits for the Course

114

—

—

2400

104

—

Faculty Details:

Sl.No.

Name of the Teacher

Qualification

Designation

Specialization

01

Dr. U.S. Mahabaleshwar

M. Sc.,

M. Phil.,

Ph.D.

Professor

Fluid Dynamics

02

Dr. D.G. Prakasha

M. Sc.,

Ph.D.

Professor& Chairman

Differential Geometry, Fractional Calculus, Advanced Graph Theory

03

Dr. B. C. Prasannakumara

M. Sc.,

Ph.D

.

Professor

Computational Fluid Dynamics, Solid Mechanics, Boundary Layer Theory

04

Dr. Raghunath. K.R

M. Sc.,

Ph.D.

Assistant Professor

Fluid Dynamics

 

05

Dr. AshwiniYalnaik

M. Sc.,

Ph.D.

Assistant Professor

Advanced Graph Theory

06

Dr. ChetanaGali

M. Sc.,

Ph.D.

Assistant Professor

AdvanceedGraph Theory

07

Mr. MaheshBarki

M. Sc.

Assistant Professor

Complex Analysis

08

Mr. Ranganatha M. S.

M. Sc.

Assistant Professor

Advanced Graph Theory

Research Details:

Ph.D. Guide and Student details :

Sl. No.

Name of the Scholar

Registration Number

Research Supervisor

1

Anusha T.

Ph.D./Mathematics/01/2019-20

Dt: 17-02-2020

Dr. U. S. Mahabaleshwar

2

K. N. Sneha

Ph.D./Mathematics/02/2019-20

Dt: 17-02-2020

3

Vishalakshi A. B.

Ph.D./Mathematics/03/2019-20

Dt; 17-02-2020

4

Naveen S. Malagi

Ph.D./Mathematics/04/2019-20

Dt; 17-02-2020

Dr. D. G. Prakasha

5

Amruthalakshmi R

Ph.D./Mathematics/05/2019-20

Dt; 17-02-2020

6

ManjunathaGali

Ph.D./Mathematics/06/2019-20

Dt; 17-02-2020

7

Punith Gowda R J

Ph.D./Mathematics/07/2019-20

Dt; 17-02-2020

Dr. B. C. Prasannakumara

8

Naveen Kumar R

Ph.D./Mathematics/08/2019-20

Dt; 17-02-2020

9

Varun Kumar R S

Ph.D./Mathematics/09/2019-20

Dt; 17-02-2020

10

Madhukesh J K

Ph.D./Mathematics/10/2019-20

Dt; 17-02-2020

Activities:

1. Value Added Course in Mathematics Click Here

2. Awards:
Faculty

Sl. No.

Awardee

Award

1

Dr. D. G. Prakasha

Vision Group on Science and Technology, Government of Karnataka, Bangalore has awarded the Award for Research Publication(ARP) with Citation and Rs. 25,000/- cash for the research contribution for the year 2019-20 in Mathematical & Computational Sciences.

2

Dr. K. R. Raghunatha

Davangere University has awarded DUSMYTR (Davangere University Seed Money for Young Talented Teachers) with Rs. 20,000/- for the year 2019-20

3

Dr. B. C. Prasannakumara

Vision Group on Science and Technology, Government of Karnataka, Bangalore has awarded the Award for Research Publication (ARP) with Citation and Rs. 25,000/- cash for the research contribution for the year 2020-21 in Mathematical & Computational Sciences.

Research Scholars:

Sl. No.

Awardee

Award/Fellowship

1

Anusha T.

Council of Scientific & Industrial Research | (CSIR),Government of India, New Delhi, has awarded Junior Research Fellowship in Mathematical Sciences to pursue Ph.D. degree

Order number:09/1207(003)/ 2020-EMR-I Dated 30th July, 2020.

2

Amruthalakshmi M. R.

Ministry of Science and Technology, Department of Science and Technology (DST), Government of India, New Delhi ,has awarded INSPIRE Fellowship in Basic and Applied science for University First Rank holders. Order number: DST/INSPIRE Fellowship/[IF150253] Dated: 10.04.2015 (JRF: 11-April-2015 to 08-Dec-2017 SRF:  09-Dec-2017 to 31-Aug-2018.)

3

Sneha K. N.

Ministry of Tribal Affairs, Government of India, New Delhi, has awarded NFST 2021: National Fellowship for ST Students for Higher Education to pursue Ph.D. degree

 Order number:202021-NFST-KAR-01224 Dated 20th September, 2021.

 

Project details 2020 – 21 : Click Here