In 2013, the department instituted the PhD programme to be guided by a strong team of research oriented academicians all of whom have vast research and teaching experience. The department has the expertise in the following (but not limited to) broad research areas:
• Fuzzy Logics
• Functional Analysis
• Statistical Approximations
• Stochastic Processes
• Graph Theory and its Applications
• Discrete Mathematics
• Swarm Intelligence; Drone Swarm; Optimization; Computational Intelligence; Soft Computing.
• Numerical Analysis
• Singularly Perturbed Problems
• Finite Element Analysis
• Ordinary and Partial Differential Equations
• Scientific Computing
• Function Spaces
• Weighted Norm Inequalities
• Integral Operators
• Fourier Analysis
• Quantum Calculus
• Computational Fluid Dynamics
• Mathematical Biology
• Bioinformatics
• Computational Biology
Candidates must have completed a minimum of 17 years of formal education, i.e. 12 years of regular schooling, followed by either a 3-year Bachelor’s degree and a 2-year Master’s degree, or a 4-year Bachelor’s degree and a 1-year Master’s degree in Mathematics, Computer Science, Statistics, Operations Research, Physics, or an equivalent field, with a minimum aggregate of 55% marks or an equivalent grade.
Candidates with 4-year Bachelor degree in the subject are also eligible for admission to PhD programme provided they have secured a minimum of 80% marks or equivalent grade.
| S. No. | Course No. | Course | Credits |
|---|---|---|---|
| 1ST SEMESTER | |||
| 1 | AM 501 | Advanced Analysis | 2 |
| 2 | AM 502 | Advanced Numerical Optimization Techniques | 2 |
| 3 | AM 503 | Advanced Numerical Techniques for Differential Equations | 2 |
| 4 | AM 504 | Advanced Mathematical Modeling | 2 |
| 5 | AM 505 | Parallel Iterative Methods for Partial Differential Equations | 2 |
| 6 | AM 506 | Operator Theory | 2 |
| 7 | AM 507 | Computational Finance | 2 |
| 8 | AM 508 | Advanced Graph Theory | 2 |
| 9 | AM 509 | Quantum Calculus | 2 |
| 2ND SEMESTER | |||
| 1 | AM 600 | Seminar | 2 |
| 2 | AM 601 | Weighted Norm Inequalities and Integral Operators on Function Spaces | |
| 3 | AM 602 | Swarm and Evolutionary Algorithms | 4 |
| 4 | AM 603 | Robust Numerical Methods for Singularly Perturbed Problems | 4 |
| 5 | AM 604 | Modelling of Biological Systems | 4 |
| 6 | AM 605 | High Resolution Computational Methods for Partial Differential Equations | 4 |
| 7 | AM 606 | Advanced Fuzzy Set Theory | 4 |
| 8 | AM 607 | Soft Computing Technique for Differential Equations | 4 |
| 9 | AM 608 | Spectral Graph Theory and Signed Graphs | 4 |
A student will be required to opt any 5 courses out of the offered elective courses in the 1st semester, whereas in 2nd semester a student has to opt any one of the elective courses offered during the semester.
NOTE: A student has to earn 16 credits from among the elective courses.
