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 |
| 27 Cr. Hrs. Course Work with 03 Cr. Hrs. Project | 30 |
| Course work only (10 Courses) | 30 |
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
A student is required to earn a minimum 3.00/4.00 CGPA on the completion of his degree requirements.
ELECTIVE COURSES
| Course Code | Course Title | Cr. Hrs |
| MT5013 | Advanced Partial Differential Equations | 3 |
| MT5023 | Advanced Wave Mechanics | 3 |
| MT5033 | Integral Equations | 3 |
| MT5043 | Celestial Mechanics | 3 |
| MT5123 | Advanced Mathematical Analysis | 3 |
| MT5133 | Topics in Complex Analysis | 3 |
| MT5123 | Advanced Functional Analysis | 3 |
| MT51533 | Fix Point Theory | 3 |
| MT5213 | Advanced Numerical Techniques | 3 |
| MT5233 | Finite Element Methods | 3 |
| MT5243 | Finite Difference Methods | 3 |
| MT5303 | Advanced Group Theory | 3 |
| MT5313 | Computational Algebra | 3 |
| MT5323 | Non Commutative Algebra | 3 |
| MT5343 | Algebraic Cryptography | 3 |
| MT5513 | Advanced Fluid Dynamics | 3 |
| MT5533 | Non-Newtonian Fluid Mechanics | 3 |
| MT5543 | Computational Fluid Dynamics | 3 |
| MT5613 | Optimization Techniques | 3 |
| MT5623 | Linear System Theory | 3 |
| MT5633 | Nonlinear Control System | 3 |
| MT5643 | Applied Cryptography | 3 |
| MT5653 | Stochastic Processes | 3 |
| MTxxxx | Financial Mathematics | 3 |
| MT5723 | Operational Research | 3 |
| MT5813 | General Relativity | 3 |
| MT5xx3 | Special Topics in Mathematics | 3 |
RESEARCH THESIS/PROJECT
| Course Code | Course Title | Cr. Hrs |
| MT5913 | Research Thesis Part – I | 3 |
| MT5923 | Research Thesis Part – II | 3 |
| MT5933 | Research Project | 3 |