MPhil Mathematics
About The Program
The MPhil Program in Mathematics is designed with major focus on preparing students with advanced knowledge of Mathematics applicable to other sciences and technologies. A Graduate having MPhil degree in Mathematics from CUST is supposed to have the realization that Mathematics is a useful tool rather than an abstract subject. After the two semesters of course work, students will have the opportunity to choose a research area from a variety of available options. The possible research areas are:
- Wave Mechanics
- Numerical solutions of differential equations arising from any area of Mathematics and other sciences
- Eigenvalue Problems
- Computational Algebra
- Data Security and Cryptography.
- Interested students may also work in Control Systems, Image Processing and Algorithms in collaboration with the faculty members of the departments of the university.
Admission Requirements
- A minimum of 16 years of education leading to BS/ MSc degree in Mathematics or equivalent.
- Minimum 2.00/4.00 CGPA or 50% marks
- Admission Test / HEC Approved Test
Degree Requirements
A student admitted in this program will have to complete the degree requirements by following any one of the options given below:
| AREA | Cr. Hrs. |
|---|---|
| 24 Cr. Hrs. Course Work with 06 Cr. Hrs. Thesis | 30 |
Program Duration
This is normally a two years program comprising of 4 semesters. There will be a Fall and Spring semester in each year. The maximum duration to complete MPhil in Mathematics is 4 years.
CGPA Requirement
A student is required to earn a minimum 3.00/4.00 CGPA on the completion of his degree requirements.
Core Courses
| Course Title | Code | Cr. Hrs. |
|---|---|---|
| Advanced Partial Differential Equations | MT5013 | 3 |
| Advanced Wave Mechanics | MT5023 | 3 |
| Integral Equations | MT5033 | 3 |
| Celestial Mechanics | MT5043 | 3 |
| Advanced Mathematical Analysis | MT5123 | 3 |
| Topics in Complex Analysis | MT5133 | 3 |
| Advanced Functional Analysis | MT5123 | 3 |
| Fix Point Theory | MT5153 | 3 |
| Advanced Numerical Techniques | MT5213 | 3 |
| Finite Element Methods | MT5233 | 3 |
| Finite Difference Methods | MT5243 | 3 |
| Advanced Group Theory | MT5303 | 3 |
| Computational Algebra | MT5313 | 3 |
| Non Commutative Algebra | MT5323 | 3 |
| Algebraic Cryptography | MT5343 | 3 |
| Advanced Fluid Dynamics | MT5513 | 3 |
| Non-Newtonian Fluid Mechanics | MT5533 | 3 |
| Computational Fluid Dynamics | MT5543 | 3 |
| Optimization Techniques | MT5613 | 3 |
| Linear System Theory | MT5623 | 3 |
| Nonlinear Control System | MT5633 | 3 |
| Applied Cryptography | MT5643 | 3 |
| Stochastic Processes | MT5653 | 3 |
| Financial Mathematics | MTxxxx | 3 |
| Operational Research | MT5723 | 3 |
| General Relativity | MT5813 | 3 |
| Special Topics in Mathematics | MT5xx3 | 3 |
Research Thesis
| Course Title | Code | Cr. Hrs. |
|---|---|---|
| Research Thesis Part – I | MT5913 | 3 |
| Research Thesis Part – II | MT5923 | 3 |