Mathematics
Department

Master of Science (MS) in Mathematics

Program Overview

Mathematics is one of the oldest academic subjects and is still very much alive and is growing very fast. It is considered to be very important in the learning and understanding of science subjects in particular and other subjects in general. The advent of computers and data acquisition facilities has stretched the limits of what is possible in Mathematics to all branches of human endeavour. New developments are taking place all the time; some as result of fresh ideas or review of old techniques and problems from a fresh standpoint and others prompted by the applications to new and emerging physical, biological and social sciences, economics, computing and so on. This has given rise to new IT based techniques of mathematical study and has created new computational methodologies. Mathematics is one of the most mature and well-developed disciplines of the basic sciences. The study of Mathematics is not only exciting but important Mathematicians have an opportunity to make a lasting contribution to the society by helping to solve problems in such diverse fields as medicine, biology, management, economics, computer sciences, physics, psychology, engineering, and social sciences.

Program Objectives

The MS in Mathematics degree provides the thorough training related to core mathematical skills required to go aboard for a PhD degree programme in Mathematics or for employment in areas that strongly demand vital mathematical background, such as research needed by industry and development sector.

A Reflection About Faculty

We are proud to have a group of dynamic researchers and teachers qualified from prestigious institutes of the world. We have 35 PhD faculty members which are the highest in numbers compared with all institutes across Islamabad providing an excellent platform for distinguished research career.

Further information about individual faculty please Click Here

Curriculum

List of Graduate Courses

S # Course Code Course Title Credit Hours Prerequisite(s)
1. MTH601 Hilbert Space Methods 3(3, 0)  
2. MTH602 Optimization Theory 3(3, 0)  
3; MTH603 Perturbation Methods I 3(3, 0)  
4. MTH604 Fixed Point Theory and Applications 3(3, 0)  
5. MTH605 Numerical Solution of ODEs 3(3, 0)  
6. MTH606 Advanced Numerical Analysis 3(3, 0)  
7. MTH607 Numerical Linear Algebra 3(3, 0)  
8.     MTH608 Approximation Theory and Applications 3(3, 0)  
9.     MTH609 Advanced Partial Differential Equations 3(3, 0)  
10. MTH610 Variational Inequalities & Applications 3(3, 0)  
11. MTH611 Integral Inequalities 3(3, 0)  
12. MTH612 Numerical Solutions of PDEs-I 3(3, 0)  
13. MTH 615 Advanced Mathematical Statistics 3(3, 0)  
14. MTH 616 Time Series analysis and Forecasting 3(3, 0)  
15. MTH 617 Linear Statistics Models 3(3, 0)  
16. MTH 618 Advanced Topics in Graph Theory 3(3, 0)  
17. MTH 619 Commutative Algebra 3(3, 0)  
18. MTH 620 Advanced Topology-I 3(3, 0)  
19. MTH 621 Algebraic Topology 3(3, 0)  
20. MTH 622 Mathematical Analysis 3(3,0)  
21. MTH 623 General Relativity 3(3,0)  
22. MTH 624 Probability Models and Application 3(3,0)  
23. MTH 625 Numerical Optimization 3(3,0)  
24. MTH 626 Introductory Cryptography 3(3,0)  
25. MTH 627 Complexity Theory 3(3,0)  
26. MTH 628 Finite Fields 3(3,0)  
27. MTH 629 Fuzzy Logic and Applications 3(3,0)  
28. MTH 630 Fuzzy Probability and Statistics 3(3,0)  
29. MTH631 Topology 3(3, 0)  
30. MTH632 Geometric Function Theory 3(3, 0)  
31. MTH633 Advanced Convex Analysis 3(3, 0)  
32. MTH634 Advanced Modern Algebra with Applications 3(3, 0)  
33. MTH635 Theory of Groups 3(3, 0)  
34. MTH636 Representation Theory of Finite Groups 3(3, 0)  
35. MTH637 Field Extensions and Galois Theory  3(3, 0)  
36. MTH638  Advanced Topology II 3(3, 0)  
37. MTH640  Differential Subordinations and Applications 3(3, 0)  
38. MTH641  Convolutions in Geometric Function Theory 3(3, 0)  
39. MTH 642 Semigroup Theory 3(3, 0)  
40. MTH 643 Further Algebraic Geometry 3(3,0)  
41. MTH 644 Lattice Boltzmann Transport Method 3(3,0)  
42. MTH 646 Homological Algebra 3(3,0)  
43. MTH 647 Relativistic Theory of Black Holes 3(3,0)  
44. MTH 648 Classical Theory of Fields 3(3,0)  
45. MTH 650 Theory of Abel Grassmann’s Gropoids 3(3, 0)  
46. MTH651  Symmetry Methods in Differential Equations 3(3, 0)  
47. MTH 652 General Linear Model 3(3, 0)  
48. MTH 653 Multivariate Analysis in Mathematics 3(3, 0)  
49. MTH 654 Continuum Mechanics 3(3, 0)  
50. MTH 655 Introduction to Algebraic Geometry 3(3,0)  
51. MTH 658 Direct and Inverse Problems in Wave Propagation 3(3,0)  
52. MTH 659 Commutative Algebra and Algebraic Geometry 3(3,0)  
53. MTH 660 Rough Set Theory and its Applications 3(3,0)  
54. MTH661 Viscous Fluids I 3(3, 0)  
55. MTH662 Viscous Fluids II 3(3, 0)  
56. MTH663 Perturbation Methods II 3(3, 0)  
57. MTH664 Numerical Solutions of PDEs II 3(3, 0)  
58. MTH665 Heat Transfer 3(3, 0)  
59. MTH666 Elastodynamics 3(3, 0)  
60. MTH667 Fluid and Thermodynamics 3(3, 0)  
61. MTH668 Magneto Hydrodynamics 3(3, 0)  
62. MTH669  Group Theoretic Methods 3(3, 0)  
63. MTH670 Advanced Analytical Dynamics 3(3, 0)  
64. MTH 671 Momentum and Thermal Boundary-Layer Theory 3(3, 0)  
65. MTH672 MHD and Porous Media 3(3, 0)  
66. MTH 673 Physical Turbulent Flows 3(3,0)  
67. MTH 681 Mathematical Methods in Machine Learning 3(2,1)  
68. MTH 682 Data Analytic Techniques 3(2,1)  
69. MTH710 Numerical Methods for Variational Inequalities 3(3, 0)  
70. MTH761  Non-Newton Fluid Mechanics 3(3, 0)  
71. MTH762 Spectrum Methods in Fluid Dynamics 3(3, 0)  
72. MTH763 Topics in Applied Mathematics 3(3, 0)  
73. MTH764 Topics in Pure Mathematics 3(3, 0)  
74. MTH765 Topics in Numerical Mathematics 3(3, 0)  
75. MTH 766 Simple Linear Regression Model 3(3, 0)  
76. MTH 767 Multiple Linear Regression Model 3(3, 0)  
77. MTH 768 Topics in Mathematics Statistics 3(3, 0)  
78. MTH 769 Topics in Applied Commutative Algebra 3(3, 0)  
79. MTH 770 Advanced Topics in Graph Valuation Theory 3 (3,0)  
80. MTH 771 Numerical Methods for Incompressible Flows   3(3, 0)  
81. MTH 772 Topics in Graph Valuations 3(3,0)  
82. MTH 800 MS Thesis 6(6,0)  
83. MTH 899 PhD Thesis 9(9,0)  

Research Opportunities:

Few fields of specialization are provided here.

Field of Specialization:

  1. Mathematical Modelling and Optimization
  2. Mathematical Data Science
  3. Mathematical Methods in Machine Learning
  4. Dynamical Models
  5. Computational Fluid Dynamics
  6. Mathematical Biology
  7. Fractional Differential Equations
  8. Soliton Theory
  9. Fluid Mechanics
  10. Heat Transfer
  11. Algebraic geometry/ Algebraic Topology
  12. Graph Theory
  13. Abstract Algebra
  14. Commutative Algebra
  15. Real And Complex Analysis
  16. Topology
  17. Functional Analysis
  18. Convex Analysis
  19. Stochastic Process
  20. Survival Analysis
  21. Operation Research
  22. Distribution Theory
  23. Quality Control
  24. Quality and Reliability Engineering

Career Opportunities:

752 graduates have successfully completed their MS degree from our department and engaged in teaching, serving and leading in various institutes across the nation. Moreover, we also provide jobs to our MS and PhD students by hiring them as research associates from funding agencies like HEC, PSF, etc. Furthermore, by studying new courses related to mathematics of machine learning methods, our students may work in multi-nationals as data analysts, data scientist, business analyst, database administrators, and analytics managers along with many other available opportunities.

Admission Requirements:

  • A I6-year degree, in the relevant field, from an accredited educational institution.
  • Minimum CGPA of 2.5/4.0 (semester system) or First Division (annual system) with no third division (annual system) or 'D' grade (semester system) throughout the academic career.
  • NTS GAT(General)with a minimum of 50%marks (must be valid on the date of admission) or 60% score in any other entry test adopted by the university.

Scholarships available:

Few scholarships are available from different research projects such as, HEC, PSF and TWAS etc.