SOUTH ASIAN UNIVERSITY

A University Established by SAARC Nations

SOUTH ASIAN UNIVERSITY

A University established by SAARC Nations

DM
Department of Mathematics

PhD

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
• Nonlinear Dynamical Systems
• Fractional Differential Equations
• Mathematical modeling
• Ecological systems
• Nonlinear dynamics
• Low Dimensional Topology (Mapping class groups, Knot theory)
• Racks and Quandles
• Artin and Coxeter groups

Eligibility


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.

 

PhD (Applied Mathematics)

S. No. Course Credits
1ST SEMESTER
1 Advanced Analysis 2
2 Advanced Numerical Optimization Techniques 2
3 Advanced Numerical Techniques for Differential Equations 2
4 Advanced Mathematical Modeling 2
5 Parallel Iterative Methods for Partial Differential Equations 2
6 Operator Theory 2
7 Computational Finance 2
8 Advanced Graph Theory 2
9 Quantum Calculus 2
2ND SEMESTER
1 Seminar 2
2 Weighted Norm Inequalities and Integral Operators on Function Spaces  
3 Swarm and Evolutionary Algorithms 4
4 Robust Numerical Methods for Singularly Perturbed Problems 4
5 Modelling of Biological Systems 4
6 High Resolution Computational Methods for Partial Differential Equations 4
7 Advanced Fuzzy Set Theory 4
8 Soft Computing Technique for Differential Equations 4
9 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.