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