M. Phil. Mathematics

 

The Department of Mathematics aims at providing a comprehensive knowledge of Mathematics at undergraduate as well as graduate and doctoral levels. At undergraduate level the students of Computer Science, Biotechnology, Chemistry and Management Sciences are provided with high quality knowledge of Mathematics. Furthermore, at M. Phil (Mathematics) and PhD (Mathematics) levels the students are imparted state of the art education. These programs have earned a great repute over the years and students all over the country show great enthusiasm for admission in the Department of Mathematics.
Apart from going through the course work, the students are encouraged to carry out quality research work, leading to publications in renowned international journals. The syllabi have been designed to enrich the students’ understanding towards the subject of Mathematics with a view to helping them encounter practical problems successfully in their careers. Utmost emphasis is laid on conceptual learning and application of Mathematics to the real world problems with the help of good examples and exercises. In this regard a balance is maintained between applications and the basic principles behind them.
Being mindful of the importance of the subject of Mathematics, the University has inducted highly qualified permanent faculty members, to meet all the challenges at undergraduate as well as graduate and doctoral levels.
Apart from directing the students in the discipline of Mathematics, plenteous emphasis is laid on their character building. This aspect is taken care of consciously so that after graduating from this institution they should not only portray themselves as good Mathematicians but also as good citizens and good Muslims.
Profile PictureDR. ABDUL HAMEED HAMID Dr.Muhammad Shakeel
Asst Professor in Department of Mathematics
Completed PhD, in 2015 from HITECH University Taxila Cantt.
Specialization: Modified (G’/G)-Expansion Methods
Email: muhammadshakeel74@yahoo.com

Duration: 4 Semester Credit Hours: 48

 

Eligibility: 1. Master degree in math with 45% marks.

  1. GAT General with 50% marks or university entry test.

 

Sr.# Course Credit Hours
1. Research Methodology (Compulsory) 3
2. Semi group Theory 3
3. LA-Semi groups (Pre-requisite: Semi group Theory) 3
4. Near Rings-I 3
5. Near Rings-II (Pre-requisite: Near Rings-I) 3
6. Advanced Ring Theory-II 3
7. Advanced Ring Theory-II

(Pre-requisite: Advanced Ring Theory-I)

 

3

8. Theory of Group Actions 3
9. Theory of Group Graphs 3
10. Lie Algebras 3
11. Several complex Variables 3
12. Topological Vector Spaces 3
13. Non-Standard Analysis 3
14. Ordered Vector Spaces 3
15. Banach Algebra 3
16. C*-Algebras 3
17. Spectral Theory in Hilbert Spaces 3
18. Extension of Symmetric Operators 3
19. Topics in Complex Analysis 3
20. One Parameter Semi groups 3
21. Von Neumann Algebras 3
22. Numerical Ranges of Operators on Normed Spaces 3
23. Strict Convexity 3
24. Fixed Point Theory 3
25. Banach Lattices 3
26. Loop Groups (Pre-requisite: Lie Algebras) 3
27. Approximation Theory 3
28. Topological Algebras (Pre-requisite: Topical Vector 3
29. Variational Inequalities 3
30. Nilpotent and Solube Groups 3
31. Theory of Complex Manifolds 3
32. Commutive Algebra-I 3
33. Commutive Algebra-II (Pre-requisite:Commutive Algebra-I) 3
34. CommutiveSemigroup Rings 3
35. Homological Algebra-I 3
36. Homological Algebral-II (Pre-requisite: Homological Algebra-I) 3
37. Theory of Semirings 3
38. Partial Different Equations 3
39. Integral Equations 3
40. Magneto hydrodynamics-I 3
41. Magneto hydrodynamics-II

(Pre-requisite: Magneto hydrodynamics-I

3
42. Electrodynamics-I 3
43. Electrodynamics-II (Pre-requisite: Electrodynamics-I) 3
44. Basics of the Theory of Fluids 3
45. Advanced Analytical Dynamics-I 3
46. Advanced Analytical Dynamics-II

(Pre-requisite: Advanced Analytical Dynamics-I)

3
47. Mathematics Techniques for Boundary value Problems 3
48. Elasto dynamics-I 3
49. Plasma Theory-I 3
50. Plasma Theory-II (Pre-requisite: Plasma Theory-I) 3
51. General Relativity 3
52. Cosmology 3
53. Astrophysics 3
54. The Classical Theory of Fields 3
55. Numerical Solutions of Partial Different Equations 3
56. Acoustics 3
57. Elastodynamics-II (Pre-requisite: Elastodynamics-I) 3
58. Non-Newtonian Fluid Mechanics 3
59. Sampling Techniques-I 3
60. Sampling Techniques-II (Pre-requisite: Sampling Techniques-I) 3
61. Design of Experiments-I 3
62. Design of Experiments-I (Pre-requisite: Design of Experiments-I) 3
63. Time-Series 3
64. Multivariate Analysis-I 3
65. Multivariate Analysis-II (Pre-requisite: Multivariate Analysis-I 3
66. Finite Mixture Distributions-I 3
67. Finite Mixture Distributions-II

(Pre-requisite: Finite Mixture Distributions-I

3
68. Group Methods for Differential Equations 3

 

1st semester fee:Rs.48,400/-
2nd to last Semester fee:Rs.38,400/-

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