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Semester 1
Course Code Course Title L-T-P Cr
15MAT501 Advanced Algebra 4 0 0 4
15MAT502 Advanced Real Analysis 4 0 0 4
15MAT511 Advanced Complex Analysis 4 0 0 4
15MAT504 Ordinary Differential Equations 4 0 0 4
  Elective I 3 0 0 3
15CUL501 Cultural Education 2 0 0 P/F
    Total 21
Semester 2
Course Code Course Title L-T-P Cr
15MAT503 Topology 4 0 0 4
15MAT512 Functional Analysis 4 0 0 4
15MAT513 Graph Theory 4 0 0 4
15MAT514 Partial Differential Equations 4 0 0 4
  Elective Paper II 3 0 0 3
15AV501 Amrita Values Programme 1 0 0 1
    Total 20
Semester 3
Course Code Course Title L-T-P Cr.
15MAT601 Advanced Topology 4 0 0 4
15MAT603 Measure and Integration 4 0 0 4
15MAT604 Operator Theory 4 0 0 4
15MAT605 Differential Geometry 4 0 0 4
  Elective III 3 0 0 3
  Free/Live-in-Lab / Open Elective 2 0 0 2
    Total 21
Semester 4
Course Code Course Title L-T-P Cr.
  Elective IV 3 0 0 3
  Elective V 3 0 0 3
15MAT696 Dissertation   10
       
       
       
       
    Total 16
Total Credits of all Semesters 78

Electives

Algebra Stream
Course Code Course Title L-T-P Cr
15MAT631 Algebraic Geometry 3 0 0 3
15MAT632 Algebraic Topology 3 0 0 3
15MAT633 Coding Theory 3 0 0 3
15MAT634 Commutative Algebra 3 0 0 3
15MAT635 Lie Algebra 3 0 0 3
15MAT636 Theory of Manifolds 3 0 0 3
15MAT637 Linear Algebra and its Applications 3 0 0 3
Analysis Stream
Course Code Course Title L-T-P Cr
15MAT641 Fixed Point Theory 3 0 0 3
15MAT642 Fractals 3 0 0 3
15MAT643 Harmonic Analysis 3 0 0 3
15MAT644 Nonlinear Partial Differential Equations 3 0 0 3
15MAT645 Wavelet Analysis 3 0 0 3
15MAT646 Mathematical Physics 3 0 0 3
       
Statistics Stream
Course Code Course Title L-T-P Cr
15MAT651 Queuing Theory and Inventory Control Theory 3 0 0 3
15MAT652 Random Process 3 0 0 3
15MAT653 Statistical Pattern Classifications 3 0 0 3
15MAT654 Statistical Quality Control and Six Sigma
Quality Analysis
3 0 0 3
15MAT655 Theory of Sampling and Design of Experiments 3 0 0 3
Fluid Mechanics Stream
Course Code Course Title L-T-P Cr
15MAT661 Advance Boundary Layer Theory 3 0 0 3
15MAT662 Computational Fluid Dynamics 3 0 0 3
15MAT663 Finite Element Methods 3 0 0 3
15MAT664 Magneto-Hydro Dynamics 3 0 0 3
15MAT665 Mathematical Foundations of
Incompressible Fluid Flow
3 0 0 3