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M.Sc. Mathematics

What is this Programme about?

M Sc in mathematics is a 2-year programme comprising 4 semesters. Total number of credit for the entire programme is 78. The programme has been designed to equip the students with theoretical knowledge and problem solving techniques. For the development of students’ independent thought process each final year student has to undertake a project of 5 credits.

Students completing graduation and scoring 50% with major/ honours in mathematics, physics or statistics are eligible for admission. The students having major/honours in physics or statistics must have mathematics as one of the subjects in graduation.

 

How this Programme Benefit you & your Career?

Mathematics is one of the fields with great demand in the diverse field of research and development in present era. Pursuing this programme the students gets ready for various higher studies like M.Phil, and PhD in mathematics which will enhance the scopes for better jobs in academics and research. Besides, a post graduate in Mathematics may avail jobs in education and Research & Development, sectors.

 

 

Research:

**Research Areas :MHD Flow/ Mathematics Education/ Relativity/Real Analysis

PUBLICATIONS:

1. Sinha S, Ahmed N, “MHD Laminar Boundary Flow with Oscillatory Boundary Condition and Mass Transfer with Soret and Radiation Effect”, JMI International Journal of Mathematical Science, 4, 2, 1-9, ISSN: 0976-5913, 2012.

 

2. Sinha S, Ahmed N, “Soret Effect On An Oscillatory MHD Mixed Convective Mass Transfer Flow Past An Infinite Vertical Porous Plate With Variable Suction”, Applied Mathematical Sciences, 7, 51, 2515-2524, ISSN: 1314-7552, 2013.

 

3. Sinha S, Ahmed N, “Dufour Effect On A Transient MHD Flow Past A Uniformly Moving Porous Plate With Heat Sink”, Advances and Applications in Fluid Mechanics, 13, 1, 1-24, ISSN: 0973-4686, 2013.

 

4. Sinha S, Ahmed N, “Effects Of Chemical Reaction On A Transient Mass Transfer Flow Past An Impulsively Started Vertical Plate With Ramped Temperature, Concentration, Thermal Diffusion And Radiation”, Journal of Energy, Heat and Mass Transfer, 35, 252-273, ISSN: 0970-9991, 2013.

 

5. Sinha S, Ahmed N, “MHD Effect On An Oscillatory Mixed Convective Flow Past An Infinite Vertical Porous Plate With Radiation”, Open Journal of Fluid Dynamics, 3, 271-277, ISSN: 2165-3860, 2013.

 

6. Sinha S, Ahmed N, “Transient MHD Mass Transfer Flow Past An Impulsively Started Vertical Plate With Ramped Temperature, Concentration, Thermal Diffusion And Radiation”, International Journal of Research in Mathematics and Computation, 2, 2, 19-32, ISSN: 2348-1528, 2014.

 

7. Sinha S, Ahmed N, “MHD Effect on Unsteady Flow past an Accelerated Vertical Plate”, International Journal of Physics and Mathematical Sciences, 4, 4, 56-70, ISSN: 2277-2111, 2014

 

8. Sinha S, “Effect of chemical reaction on an unsteady MHD free convective flow past a porous plate with ramped temperature”, Proceedings of the International conference on Frontiers in Mathematics, ISBN: 978-81-928118-9-5, 2015.

 

  9. S. Ratna, S.Sinha & P. Chakrabarty, “Style and Strategies Practiced in Mathematics Class of Secondary Schools of Nagaland”, International Journal of Advanced Research in Education and Technology, Vol. 3, No. 3, 2016, pp: 72-78, ISSN:            2394-6814.

10. S.Sinha & G. C. Das, “Effect of Socio-economic status on performance of Mathematics among students of secondary schools of Guwahati city”, IOSR         Journal of Mathematics, Vol. 13, No. 1, 2017, pp: 26-33, ISSN: 2278-5728.

11. S.Sinha, “Unsteady MHD Buoyancy Induced flow past an accelerated vertical  plate with chemical reaction”, International Journal of Engineering Science and Technology (IJEST), Vol. 10, No. 02S, 2018, pp: 185-192, ISSN: 0975- 5462.

12. D. Bhattacharya, S.Sinha & G. C. Sarmah, “Influence of Socio-economic status of parents on performance of Mathematics among the upper primary students of Guwahati metro”, International Journal of  Latest Engineering and           Management Research, Vol. 3, No. 4, 2018, pp: 54-64, ISSN: 2455-4847.

13. S.Sinha & M. Mahanta, “Unsteady MHD Convective Heat and Mass Transfer             Flow Past a semi-infinite vertical porous Plate with Chemical Reaction”, “AJANTA”, Vol. 8, No. 2, 2019, pp: 200-214, ISSN: 2277-5730.

14. S.Sinha & M. Kr. Sama, “Chemical Impact on Heat and Mass Transfer Flow in Presence of Radiation and Rotation with Variable Temperature and Concentration”, International Journal of Recent Technology and Engineering (IJRTE), Vol. 8, No. 4, 2019, pp: 1966-1970, ISSN: 2277-3878.

15. S.Sinha & M. Kr. Sama, “Effect of Radiation and Hall Current on an MHD Transient Heat and Mass Transfer Flow in Presence of Rotation”, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Vol.     9, No. 1, 2019, pp: 2501-2504, ISSN: 2278-3075.

16. S.Sinha & M. Kr. Sama, “Effect of Radiation on an oscillatory MHD Mixed Convective Mass Transfer Flow Past an Infinite Vertical Porous Plate with variable Suction”, “AJANTA” , Vol. 9, No. 1, 2019, pp: 2501-2504, ISSN: 2277-5730.

17. S.Sinha & M. Mahanta, “Thermal Diffusion (Soret Effect) on an Unsteady MHD Mixed Convective Heat and Mass Transfer Flow through Vertical Porous         Medium with Chemical Reaction”,    Science and Technology Journal, Vol. 7, No. 1, 2020, pp: 69-77, ISSN: 2321-3388.

18. Kanika Das and Tazmin Sultana, Bianchi Type-V String Cosmological Model with Variable Parameter, Prespacetime Journal, 2013, 4 (8), 792-800.

 

19. Kanika Das, Tazmin Sultana and Gitumani Sarma, Geometry of Magnetized Kerr Metric, Prespacetime Journal, 2014, 5(1), 19-30

 

20Kani. ka Kanika Das, Gitumani Sarma and Tazmin Sultana, Magnetized Kerr-Desitter Geometry Metric, Prespacetime Journal, 2014,

 

21. Kanika Das and Tazmin Sultana, Holographic Dark Energy Model with Variable Deceleration Parameter, Quintessence and Tachyon Field in Bianchi Type III Space-Time,  The African review Of Physics, 2014, 9, 0049

 

22. Kanika Das and Tazmin Sultana,Magnetized Anisotropic Ghost Dark Energy Cosmological model, Astrophysics and Space Science, Springer, 2015, 357,118

 

23. Kanika Das and Tazmin Sultana, Anisotropic modified holographic Ricci dark energy cosmological model with hybrid expansion law, Astrophysics and Space Science, Springer, 2015, 360, 4

24. Kanika Das and Tazmin Sultana, Modified Holographic Ricci Dark Energy Model With Sign-changeable Interaction, Astrophysics and Space Science, Springer, 2015, 361, 53

25. Kanika Das and Tazmin Sultana, Does the cosmological background alter the structure of a black hole?,  National Academy of Science Letter, Springer, 2015

 

26. Tazmin Sultana, Generalized Ghost Pilgrim Dark Energy with Sign-Changeable Interaction, Prespacetime Journal, 2016,8 (8),789-807

 

27. M. Neog  and P. Debnath, Fixed points of set valued mappings in terms of start        point on a metric space endowed with a directed graph, Mathematics 5(24)                (2017),  doi:10.3390/math5020024.

 

28. M. Neog , P. Debnath and S. Radenovic, New extension of some common fixed  point theorems in complete metric spaces, Fixed Point Theory, 20 (2019), No. 2,         567-580,  DOI: 10.24193/fpt-ro.2019.2.37.

 

29. P. Debnath, B.S. Choudhury and M. Neog, Fixed set of set valued mappings with set valued domain in terms of start set on a metric space with a graph, Fixed Point Theory and Applications (Springer) 5(2017), DOI 10.1186/s13663-017-0598-8.

 

30. M. Neog , M.M.M. Jaradat and P. Debnath , Common fixed point results of set valued maps for - contraction and generalized -type weak contraction, Symmetry, 2019, 11, 894;   doi: 10.3390/sym11070894.

 

31. P. Debnath, M. Neog and S.Radenovic, Set valued Reich type G-contractions in a complete  metric space with  graph, Rendiconti del Circolo Matematico di Palermo Series 2 (Springer), DOI 10.1007/s12215-019-00446-9.                           

 

32. P. Debnath M. Neog and S. Radenovic, New extension of some fixed point results            theorems in complete metric spaces, Tbilisi Mathematical Journal 10(2) (2017), 201-210 .

 

33. M. Neog and P. Debnath , Some new results for set valued mappings defined on sets on metric space with graph, Journal of Advanced Mathematical Studies 11 (1)  (2018), 47-55.

 

34. M. Neog and P. Debnath,  Common fixed point of set valued graph - contraction pair in a complete metric space,  International Journal of Engineering Science and Technology DOI: 10.21817/ijest/2018/v10i2S/181002S025

35. Das R, Das G C,   “Math Anxiety: The Poor Problem Solving Factor in School Mathematics”, International Journal of Scientific and Research Publications, Volume 3, Issue 4, April 2013 1 ISSN 2250-3153 

36. Das G C, Das R, “An Empirical View on Private Tutoring in School Mathematics of Kamrup District”, International Journal of Scientific and Research Publications, Volume 3, Issue 5, May 2013 1 ISSN 2250-3153 

37.Das G C, “An analysis on students’ performances in mathematics in comparison to other subjects”, International Multidisciplinary e –Journal, ISSN : 2277 – 4262, Vol-II, Issue-VI, June -2013 Page – 24. (Impact factor-3.865)

38. Das G C, Das R “A comparative study on students’ mathematical performance between

government and private secondary schools in Kamrup district, Assam” International Multidisciplinary e –Journal, ISSN : 2277 – 4262, Vol-III, Issue-III, March -2014 Page – 88-95. (Impact factor-4.08)

39. Das G C, “Pedagogical Knowledge in Mathematics: A Challenge of Mathematics Teachers in Secondary Schools”, International Journal of Information and Education Technology, ISSN: 2010-3689, Vol. 5, No. 10, October 2015, Page- 789-793. 

40. Das G C, Das R, Kashyap M P, “An Investigation on the Relationship Between Performance in Mathematics and Students’ Attitude Towards the Subject in Secondary Schools of Guwahati”, INDIAN JOURNAL OF APPLIED RESEARCH, Volume : 5 | Issue : 6 | June 2015 | ISSN - 2249-555X (Impact factor 3.919)

41. Das G C, Sinha S, “Effect of Socioeconomic status on performance in Mathematics among students of secondary schools of Guwahati city” IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 13, Issue 1 Ver. I (Jan. - Feb. 2017), PP 26-33 www.iosrjournals.org DOI: 10.9790/5728-1301012633 www.iosrjournals.org 26 | Page (Impact factor-3.97).

42. Das G C, “An investigation on the relationship between performance in mathematics and students’ anxiety towards the subject” IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 14, Issue 6 Ver. II (Nov. - Dec. 2018), PP 11-17 www.iosrjournals.org DOI: 10.9790/5728-1406021117 www.iosrjournals.org 11 | Page (Impact factor-3.97)

43. Das G C,   "AN INVESTIGATION ON TEACHERS’ PEDAGOGICAL CONTENT KNOWLEDGE OF MATHEMATICS FOR SECONDARY LEVEL STUDENTS", IJRAR - International Journal of Research and Analytical Reviews (IJRAR), E-ISSN 2348-1269, P- ISSN 2349-5138, Volume.6, Issue 2, Page No pp.710-716, May 2019, 

 

Programme Contents:

**

Semester I

Course code

Name of the course

Contact hours per week

Credit

Maximum Marks

End Semester Examination

Internal Assessment

Total

MMA101

Algebra

4

4

60

40

100

MMA102

Differential Equations

4

4

60

40

100

MMA103

Mechanics and Tensors

4

4

60

40

100

MMA104

Real Analysis and Lebesgue Measure

4

4

60

40

100

MMA105

Computer Programming+

4

4

60

40

100

 

 

 

 

Total Marks

500

 

Semester II

Course code

Name of the course

Contact hours per week

Credit

Maximum Marks

End Semester Examination

Internal Assessment

Total

MMA201

Complex Analysis

4

4

60

40

100

MMA202

Topology

4

4

60

40

100

MMA203

Functional Analysis

4

4

60

40

100

MMA204

Number Theory and Graph Theory

4

4

60

40

100

MMA205

Mathematical Methods

4

4

60

40

100

 

 

 

 

Total Marks

500

Semester III

Course code

Name of the course

Contact hours per week

Credit

Maximum Marks

End Semester Examination

Internal Assessment

Total

MMA301

Continuum Mechanics and Hydrodynamics

4

4

60

40

100

MMA302

Dynamical Systems and Fractal Geometry

4

4

60

40

100

MMA303

Special Theory of Relativity

4

4

60

40

100

MMA304

Probability Theory

4

4

60

40

100

MMA305

Partial Differential Equations

4

4

60

40

100

 

 

 

 

Total Marks

500

Semester IV

Course code

Name of the course

Contact hours per week

Credit

Maximum Marks

End Semester Examination

Internal Assessment

Total

MMA401

Operation Research

4

4

60

40

100

MMA402

Numerical Analysis

4

4

60

40

100

MMA403

Measure Theory

4

4

60

40

100

MMA404

 Fluid Dynamics

4

4

60

40

100

MMA405

Project

2

2

60

40

100

 

 

 

 

Total Marks

500

 

 

 

 

 

 

 

 

 

Achievement:

**

 

Course Duration:

2 Years.

 

All 128 Courses

Result not found

Teaching Faculties


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