The MPhil program, of 3 semesters’ duration, is conducted in the department as an additional degree. The first two semesters consist of various pure and applied courses, including a research technique and a seminar course. The total credits the students should earn is 16 in each semester. The third semester is for the thesis writing whose approval is publication based.

Objectives:
The main objectives of the MPhil program are to update the mathematics professionals, faculties of university, colleges and improve the quality of research in mathematics. Specifically, the objectives are

• upgrade and update quality for the scholars in Mathematics.
• produce Mathematics researchers.
• promote mathematics research.
• increase mathematical activities.
• explore and apply mathematics in other different fields of studies.
• make mathematics more enjoyable and fruitful.
• prepare for the Ph. D. work of best quality.

Course Structure

4 credit hours (old courses)

Math 711: Algebra
Math 712: Functional Analysis
Math 713: Measure, Integral and Probability
Math 714: Topological Vector Spaces
Math 715: Complex Dynamics
Math 716: Function Spaces
Math 718: Convex Functions
Math 719: Differential Equations
Math 720: Discrete Mathematics
Math 721: Modeling for life sciences
Math 722: Optimization

Math 811: Commutative algebra
Math 812: Banach Space Theory
Math 813: Operator Theory
Math 814: Geometric Function Theory
Math 815: Entire Functions
Math 816: Generalized Functions in Mathematical Physics
Math 817: Scheduling Theory
Math 818: Applied Mathematics
Math 731: Fields and Galois Theory

2 credit hours (new courses)

Math 732: Functional Analysis
Math 733: Complex Dynamics
Math 734: Techniques in Differential Equations
Math 735: Topological Vector Spaces
Math 736: Real Analysis
Math 737: Optimization Techniques
Math 738: Network Optimization
Math 739: Funactional Analysis and its Applications
Math 740: Research Techniques
Math 741: Harmonic Analysis
Math 742: Numerical PDE
Math 743: Multiobjective Optimization
Math 744: Entire Functions
Math 745: Seminar

From its establishment, the following MPhil students have completted the MPhil degree.

1. Shiva Prakash Gupta; Supervisor: Prof. Tanka Nath Dhamala
2. Pareshwor Acharya; Supervisor: Dr. Shree Ram Khadka
3. Gopal Acharya; Supervisor: Dr. Shree Ram Khadka
4. Bam Bd. Thapa; Supervisor: Dr. Shree Ram Khadka
5. Uday Shah; Supervisor: Dr. Shree Ram Khadka
6. Dhak Bd. Thapa; Supervisor: Prof. Kedar Nath Uprety
7. Ganesh Bd. Basnet; Supervisor: Dr. Durga Jung K.C.
8. Keshav Raj Phulara; Supervisor: Prof. Prakash Muni Bajracharya
9. Tek Bd. Budhathoki; Supervisor: Prof. Prakash Muni Bajracharya
10. Bhuvan Ojha; Supervisor: Prof. Prakash Muni Bajracharya
11. Nabaraj Adhikari; Supervisor: Prof. Prakash Muni Bajracharya
12. Dhana Kumari Thapa; Superviser: Dr. Ajaya Singh
13. Ramesh Gautam; Supervisor: Dr. Ajaya Singh
14. Khagendra Adhikari; Supervisor: Dr. Ajaya Singh
15. Youbaraj Gaire; Supervisor: Dr. Ajaya Singh
16. Ananta Acharye; Supervisor: Dr. Santosh Ghimire
17. Pushpa Shrestha; Supervisor: Dr. Santosh Ghimire
18. Anjana Pokharel; Supervisor: Prof. Chet Raj Bhatta
19. Amar Karki; supervisor: Dr. Durga Jang K.C.
20. Ananta Uprety; Supervisor: Prof. Kedar Nath Uprety
21. Ganesh Pandey; Supervisor: Prof. Kedar Nath Uprety
22. Durga Prasad Khanal; Supervisor: Prof. Tanka Nath Dhamala
23. Anjana Devi Bhandari; Supervisor: Prof. Tanka Nath Dhamala
24. Sachin Wagle; Supervisor: Dr. Urmila Pyakurel
25. Dipak Amgain; Supervisor: Prof. Tanka Nath Dhamala
26. Mohan Adhikari; Supervisor: Dr. Tanka Nath Dhamala
27. Santosh Gautam; Supervisor: Prof. Tanka Nath Dhamala
28. Shambhu Jha; Supervisor: Prof. Chet Raj Bhatta
29. Pushpa Nidhi Gautam: Sprervisor: Prof. Kedar Nath Uprety
30. Suresh Bhatta; Sprevisor: Prof. Chet Raj Bhatta
31. Bimala Mishra: Supervisor: Dr. Santosh Ghimire 
32. Laxman Basnet; Supervisor: Prof. Prakash Muni Bajracharye 
33. Ganga DC; Supervisor: Prof. Kedar Nath Uprety 
34. Bal Bahadaur Tamang: Supervisor: Dr. Ajay Singh 
35. Keshav Prasad Adhikari: Supervisor: Prof. Narayan Prasad Pahari 
36. Thaneswor Bhandari: Supervisor: Narayan Prasad Pahari
37. Bhimsen Khadka: Dr. Durga Jang K.C.
38. Hari Thapa: Dr. Santosh Ghimire
39. Arjan Sunar: Dr. Santosh Ghimire
40. Atmaram Adhikari: Prof. Dr. Ajaya Singh
41. Madan Bhahadur Chand: Prof.Dr. Tanka Nath Dhamala
42. Keshav Poudel: Dr. Jeevan Kafle
43. Shanti Ram Adhikari: Prof.Dr. Narayan Prasad Pahari
44. Chhavi Dhungana: Prof.Dr. Narayan Prasad Pahari
45. Hari Prappna Kandel: Dr. Jeevan Kafle
46. Shankar Pariyar:  Dr. Jeevan Kafle
47. Samundra Timelsina:  Dr. Jeevan Kafle
48. Amrit Sharma: Dr. Durga Jung K.C.
49. Nirmal Gurung: Dr. Bishnu Hari Subedi
50. Samjhana Koirala: .Dr. Narayan Prasad Pahari
51. Gynendra Acharya: Supervisor: Dr. Santosh Ghimire
52. Dwarika Prasad Gautam: Supervisor: Prof.Dr. Kedar Nath Uprety
53. Uddhab raj Neupane: Supervisor: Prof.Dr. Kedar Nath Uprety/Dr. Buddhi Prasad Sapkota
54. Nar Bahadur Chand: Supervisor: Prof.Dr. Kedar Nath Uprety
55. Ranjit Kumar Jha: Supervisor: Dr. Shree ram Khadka
56. Kedar Nath Chhatkuli: Supervisor: Dr. Jeevan Kafle
57. Biseswar Prashad Bhatt: Supervisor: Prof. Chet Raj Bhatta
58. Shankar Kandel: Supervisor: Prof. Chet Raj Bhatta
59. Bishnu Prasad Bhandari: Supervisor: Dr. Jeevan Kafle
60. Ram Tapasya Kumar Sah: Supervisor: Prof.Dr. Tanka Nath Dhamala
61. Ram Udaya Sah: Supervisor: Dr. Shree ram Khadka
62. Gobinda Adhikari: Dr. Jhavi Lal Ghimire  
63. Gunakhar Pokharel: Supervisor: Dr. Shree ram Khadka
64. Tuk Bahadur Rana: Supervisor: Dr. Jeevan Kafle
65. Bechan Yadav: Supervisor: Prof. Dr. Ajaya Singh
66. Prem Prakash Kaphle: Supervisor: Prof. Dr. Narayan Prasad Pahari:Co-Supervisor:  Asst.Prof. Dr. Gyan Prasad Paudel 
67. Om Kumari Gaha: Supervisor: Prof. Dr. Ajaya Singh
68. Prabin Gyawali: Supervisor: Dr. Shree ram Khadka
69. Ambar Bahadur Syangatan: Supervisor: Dr. Jhavi Lal Ghimire
70. Diwas Panta: Supervisor: Dr. Bishnu hari Subedi

S.N	Name	Enrollement Year	Supervisor	Title	Viva Date
1	Bhuvan Prasad Ojha	2070-071	Prof. Prakash Muni Bajracharya	Orthogonality in Normed Linear Spaces	2073-01-20
2	Ananta Acharye	2070-071	Dr. Santosh Ghimire	Law of Iterated  Logarithm in Analysis	2073-01-20
3	Anjana Pokharel	2070-071	Prof. Chet Raj Bhatta	Some Algebraic  Properties to Toeplitz Operators in Hardy Space and Bergman Space	2073-01-20
4	Ganesh Bd. Basnet	2070-071	Dr. Durga Jung K.C.	Discrete Maximum Principle and its Applications  in Second - order partial Differential Equations	2073-01-22
5	Shiva Prakash Gupta	2070-071	Prof. Tanka Nath Dhamala	Earliest Arrival of Evacuees with Contraflow Approach	2073-01-24
6	Dhak Bd. Thapa	2070-071	Prof. Kedar Nath Uprety	Numerical Solutions of 2d Incompressible navier-Stoke Equations in Variable Viscosity Case	2073-01-24
7	Keshav Raj Phulara	2070-071	Prof. Prakash Muni Bajracharya	Extension of Bounded Linear Operators	2073-01-24
8	Dhana Kumari Thapa	2070-071	Dr. Ajaya Singh	On Dynamics of Semi-Conjugate Function	2073-01-24
9	Ramesh Gautam	2070-071	Dr. Ajaya Singh	A  Study on Advances of Hurwitz Theorem	2073-04-31
10	Khagendra Adhikari	2070-071	Dr. Ajaya Singh	On the Study of Distribution of Primes and Twin Prime Conjecture	2073-04-31
11	Bechan Yadav	2070-071	Dr. Ajaya Singh	On the study of Pell's Equation	2073-04-31
12	Tek Bd. Budhathoki	2070-071	Prof. Prakash Muni Bajracharya	Norm Attaining Operators	2073-05-10
13	Parishwar Acharya		Dr. Shree Ram Khadka	Pattern- Based Evacuation Planning in UrbaN Areas	2073-06-02
14	Gopal Prasad  Acharya	2070-071	Dr. Shree Ram Khadka	Multicommodity Urba Evacuation Model in Disaster Management	2073-06-02
15	Bam Bd. Thapa	2070-071	Dr. Shree Ram Khadka	Route Planning for a bus based Evacuation in Urba Area	2073-06-02
16	Ram Uday Sha	2070-071	Dr. Shree Ram Khadka	Earliest Arrival Evacuation Planning in Two Terminal Case	2073-07-12
17	Youbaraj Gaire	2070-071	Dr. Ajaya Singh	Markoff Equation, Markoff Tree and Generlaized Markoff Equation	2074-07-08
18	Durga Prasad Khanal	2072-073	Prof. Tanka Nath Dhamala	Dynamic Flow with Inflow- Dependent Transit Times	2075-11-10
19	Pushpa Narayan Shrestha	2070-071	Dr. Santosh Ghimire	A Study on Properties of Weight Function	2075-12-10
20	Amar Bahadur Karki	2070-071	Dr. Durga Jang K.C.	Stability Analysis of Finite Difference shemes For Some  Parabolic Type Partial Differential Equations	2075-12-10
21	Nabaraj Adhikari	2071-072	Prof. Prakash Muni Bajracharya	A Study on Fixed Point Theory in M- Metric Space	2076-08-15
22	Ananta Upreti	2071-072	Prof. Kedar Nath Uprety	Super- Time- Stepping Acceleration of Explicit Scheme for Option Pricing	2076-08-15
23	Ganesh Prasad Pandey	2071-072	Prof. Kedar Nath Uprety	Numerical Solution of European and American Option with Dividends Using Finite Difference Methods	2076-08-15
24	Keshav Prasad Adhikari	2072-073	Prof. Narayan Prasad Pahari	A Study on Fixed Point in Partial Metric Spaces	2077-07-23
25	Anjana Devi Bhandari	2073-074	Prof. Tanka Nath Dhamala	On  Quickest Flow Problem Using Improved Binary Search Algorithm	2077-09-22
26	Mohan Chandra Adhikari	2074-075	Prof. Tanka Nath Dhamala	Incremental Approach for Maximum Network Flow Solution	2077-09-24
27	Shambhu Jha	2072-073	Prof. Chet Raj Bhatta	A Study about Fractional Quantum Calculus abd Application to Impulsive q-difference Equations	2077-12-26
28	Suresh Bhatta	2072-073	Prof. Chet Raj Bhatta	A Study on q- Calculus Analogue of Intergral Inequalities on Finite Interval	2077-12-26
29	Ganga Ram  D.C.	2071-072	Prof. Kedar Nath Uprety	Numerical Solution of the Black- Scholes Equation by Finite Difference Scheme	2077-12-26
30	Bimala Mishra	2071-072	Dr. Santosh Ghimire	A Study on the Lebesgue Spaces	2077-12-27
31	Laxman Basnet	2070-071	Prof. Prakash Muni Bajracharye		2077-12-27
32	Sachin Wagle	2075-076	Dr. Urmila Pyakurel	Network Reconfiguration for Prioritized Flow Improvement	2078-04-04
33	Dipak  Babu Amgain	2075-076	Prof. Tanka Nath Dhamala	Quickest Flow problem with Constant and Time- Varying Attributes	2078-04-04
34	Santosh Gautam	2073-074	Prof. Tanka Nath Dhamala	Dynamic Contraflow Problemon Lossy Network	2078-04-04
35	Bal Bahadaur Tamang	2075-076	Dr. Ajaya Singh	ON The Study of Quadratic Diophantine Equations	2078-04-24
36	Bhimsen Khadka	2074-075	Dr. Durga Jang K.C.	Hamilton- Jacobi- Bellman Equation and Optimal Control problem	2078-04-24
37	Thaneswor Bhandari	2075-076	Prof. Narayan Prasad Pahari	A Study on Fixed  Point Theory in Fuzzy Metric Space	2078-05-20
38	Pushpa Nidhi Gautam	2074-075	Prof. Kedar Nath Uprety	On Advection-Diffusion Equation	2078-06-17
39	Hari Thapa	2073-074	Dr. Santosh Ghimire	The Law of the Iterated Logarithm	2078-12-28
40	Arjan Kumar Sunar	2073-074	Dr. Santosh Ghimire	Functions of Bounded Mean Oscillation	2078-12-28
41	Atmaram Adhikari		Prof. Dr. Ajaya Singh	The Study of Diophantine  Approximations and Its Application	2078-12-29
42	Madan Bhahadur Chand	2073-074	Prof.Dr. Tanka Nath Dhamala	Continuous-Time Dynamic Network Flow Problems	2078-12-29
43	Keshav Poudel	2074-075	Dr. Jeevan Kafle	Advection-Dispersion Equation for Pollutant Concentration	2079-03-13
44	Chhavi Dhungana	2074-075	Prof.Dr. Narayan Prasad Pahari	A Study on Fuzzy Sequence in Metric Space	2079-05-27
45	Hari Prappna Kandel	2074-075	Dr. Jeevan Kafle	Numerical Modeling of Influence of Source in Heat Transformation : An Application in Blacksmithing Metal Heating	2079-05-29
46	Amrit Sharma Gautam	2074-075	Dr. Durga Jung K.C.	Burgers' Equations and its Applications to Traffic Flow	2079-12-16
47	Shankar Pariya	2077-078	Dr. Jeevan Kafle	Numerical Analysis for Fractional Calculus	2080-02-07
48	Nirmal Gurung	2076-077	Dr. Bishnu Hari Subedi	Dynamics of Holomorphic Semigroup on C	2080-02-18
49	Shanti Ram Adhikari	2074-075	Prof.Dr. Narayan Prasad Pahari	Summability Techniques in Infinite Series	2080-08-18
50	Samjhana Koirala	2075-076	Dr. Narayan Prasad Pahari	A Study on Fixed Point Theory in G-Metric Space	2080-08-18
51	Gynendra Acharya	2071-072	Dr. Santosh Ghimire	Astudy on Law of the Iterated Logarithm for Sums of Rademacher Functions	2081-03-26
52	Dwarika Prasad Gautam	2073-074	Prof.Dr. Kedar Nath Uprety	Transmission Dynamic of Dengue Disease in Rupendehi District of Nepal	2081-03-27
53	Uddhab Raj Neupane	2073-074	Prof.Dr. Kedar Nath Uprety/ Dr. Buddhi Prasad Sapkota	A Study on Convection-diffusion Equation in Fluid	2081-03-27
54	Nar Bahadur Chand	2075-076	Prof.Dr. Kedar Nath Uprety	Estimating the Effect on Non-Pharmaceutical Interventions of Covid-19 Sudurpaschim Province, Nepal	2081-03-27
55	Ranjit Kumar Jha		Dr. Shree Ram Khadka	A Comparative Study of Algorithms for Aximum Flow Problems	2081-03-28
56	Kedar Nath Chhatkuli	2071-072	Dr. Jeevan Kafle	A Mathematical Modeling of Blood Flow Through Artery with Bell-Shaped Stenosis	2081-03-28
57	Biseswar Prashad Bhatt	2079-080	Prof. Chet Raj Bhatta	Duality Mappings and Maximal Monotone Operators and Banach Spaces	2081-12-21
58	Shankar Kandel	2078-079	Prof. Chet Raj Bhatta	The Development of the Hardy Inequality	2082-01-21
59	Tuk Bahadur Rana	2078-079	Dr. Jeevan Kafle	Analysis of Blood Flow Through an Overlapping Mild Arterial Stenosis	2082-03-24
60	Gobinda Adhikari	2078-079	Asst.Prof. Jhavi Lal Ghimire	On Statistical and Ideal Convergence in Sequence Spaces	2082-03-31
61	Prem Prakash Kaphle	2079-080	Prof.Dr. Narayan Prasad Pahari/ Asst.Prof.Dr. Gyan Prasad Paudel	On Generalized Differene Sequence Space Defined by Orlicz Function	2082-03-31
62	Bishnu Prasad Bhandari	2076-077	Dr. Shree Ram Khadka	Effect of Blood Flow Through Mild Stenosed Artery with Effective Viscosity	2082-04-27
63	Ramtapasya Kumar Sah	2078-079	Prof.Dr. Tanka Nath Dhamala	A Prototype Operating Room Scheduling Algorithm with its Application	2082-05-22
64	Gunakhar Pokharel	2076-077	Dr. Shree Ram Khadka	Study on Tinau Flood at Butwal: An Optimization Evacuation Perspective	2082-09-16
65	Prabin Gyawali	2080-081	Dr. Shree Ram Khadka	A Comparative Study of Different Approaches to the Travelling Salesperson Problem	2083-03-24
66	Om Kumari Gaha	2077-078	Dr. Ajaya Singh	A survey on Normality Criteria for Meromorphic Families Under Sharing and Partial Sharing Conditions	2083-03-25
67	Ambar Bahadur Syangatan	2077-078	Dr. Jhavi Lal Ghimire	On Almost Convergence of Sequences of Bicomplex Numbers	2083-03-29
68	Diwas Panta	2080-081	Dr. Bishnu Hari Subedi	Ring Theoretic Approach in Tychonoff's Theorem	2083-05-09

Following files guide the thesis rules and thesis  writing . It is suggested to strictly follow them. 

MPhil Thesis Rules(.pdf)
MPhil_Thesis_Template(.rar)
MPhil_Proposal_Template(.rar)