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:
(i) 24 Cr. Hrs. course work with 2 Cr. Hrs. Fehm-ul-Quran and 6 Cr. Hrs. Thesis
(ii) 30 Cr. Hrs. course work (10 courses) with 2 Cr. Hrs. Fehm-ul-Quran
General Education (02 Cr. Hrs.)
| Course Title | Code | Cr. Hrs. |
|---|---|---|
| Fehm-ul-Quran I | MTG7021 | 1 |
| Fehm-ul-Quran II | MTG7031 | 1 |
There are no core courses and the students are required to register courses offered by the department from the list appended below:-
Elective Courses
| Course Title | Code | Cr. Hrs. |
|---|---|---|
| Advanced Partial Differential Equations | MT7013 | 3 |
| Advanced Wave Mechanics | MT7023 | 3 |
| Integral Equations | MT7033 | 3 |
| Celestial Mechanics | MT7043 | 3 |
| Advanced Mathematical Analysis | MT7123 | 3 |
| Topics in Complex Analysis | MT7133 | 3 |
| Advanced Functional Analysis | MT7143 | 3 |
| Fixed Point Theory | MT7153 | 3 |
| Advanced Numerical Techniques | MT7213 | 3 |
| Finite Element Methods | MT7233 | 3 |
| Finite Difference Methods | MT7243 | 3 |
| Advanced Group Theory | MT7303 | 3 |
| Computational Algebra | MT7313 | 3 |
| Non Commutative Algebra | MT7323 | 3 |
| Algebraic Cryptography | MT7343 | 3 |
| Advanced Fluid Dynamics | MT7513 | 3 |
| Non-Newtonian Fluid Mechanics | MT7533 | 3 |
| Computational Fluid Dynamics | MT7543 | 3 |
| Optimization Techniques | MT7613 | 3 |
| Linear System Theory | MT7623 | 3 |
| Nonlinear Control Systems | MT7633 | 3 |
| Applied Cryptography | MT7643 | 3 |
| Stochastic Processes | MT7653 | 3 |
| Financial Mathematics | MT7xxx | 3 |
| Operational Research | MT7723 | 3 |
| General Relativity | MT7813 | 3 |
| Special topics in Mathematics | MT7xx3 | 3 |
| Perturbation Methods | MT7063 | 3 |
| Heat and Mass Transfer | MT7553 | 3 |
| Electromagnetic Wave Theory | MT7043 | 3 |
| Banach Algebra | MT7173 | 3 |
| Approximation Theory | MT7163 | 3 |
| Topological Vector Spaces | MT7183 | 3 |
Research Thesis
| Course Title | Code | Cr. Hrs. |
|---|---|---|
| Research Thesis Part-I | MT7913 | 3 |
| Research Thesis Part-II | MT7923 | 3 |
CGPA Requirement
A student is required to earn a minimum 3.00/4.00 CGPA on the completion of his/her degree requirements.
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.