ACADEMICS

The two year M. Sc. in Mathematics program offered at Amrita up skills graduates with a strong mathematical background into versatile intellects by developing their skills to solve real problems. Students are expected to be competent enough to formulate problems and models in mathematical terms from sketchy descriptions, perform mathematical analysis, expand numerical methods, scribe a computer algorithms which provides sensible solutions to the problem and illustrate these results to an end user who can either be a client, student from peer groups etc. Due emphasis is put on the necessity of procedural problem solving skills.

Eligibilty : Pass with Minimum 60% in B. Sc  with Mathematics as one of the major subjects.

Duration : 2 years, 4 semesters

CURRICULUM

SEMESTER 1

Code No Course Title L T P Cr
15MAT501 Advanced Algebra 4 0 0 4
15MAT502 Advanced Real Analysis 4 0 0 4
15MAT503 Advanced Complex Analysis 4 0 0 4
15MAT504 Ordinary Differential Equations 4 0 0 4
  Elective Paper I 3 0 0 3
15CUL501 Cultural Education 2 0 0 P/F
  Total   21

SEMESTER 2

Code No Course Title L T P Cr
15MAT511 Advanced Complex Analysis 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
15AVP501 Amrita Value Programme 1 0 0 1
  Total   20

SEMESTER 3

Code No Course Title L T P Cr
15MAT601 Advanced Topology 4 0 0 4
15MAT602 Fluid Dynamics 4 0 0 4
15MAT603 Measure and Integration 4 0 0 4
15MAT604 Operator Theory 4 0 0 4
  Elective Paper III 3 0 0 3
  Free/Open Elective / Live-in-Lab 2 0 0 2
  Total   21

SEMESTER 4

Code No Course Title L T P Cr
  Elective Paper IV 3 0 0 3
  Elective Paper V 3 0 0 3
15MAT696 Dissertation   10
  Total   16

Total Credits for the Entire Programme: 78

ELECTIVES

Algebra Stream

Code No 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

Analysis Stream

Code No 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

Code No 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
15MAT656 Time Series Analysis 3 0 0 3

Fluid Mechanics Stream

Code No 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

Computer Stream

Code No Course Title L T P Cr
15MAT671 Advance Data Structures and Algorithms  3 0 0 3
15MAT672 Advanced Graph Theory 3 0 0 3
15MAT673 Computer Aided Design of VLSICircuits  3 0 0 3
15MAT674 Cryptography 3 0 0 3
15MAT675 Fuzzy Sets and its Applications  3 0 0 3
15MAT676 Introduction to Soft Computing 3 0 0 3
15MAT677 Object-Oriented Programming and Python 3 0 0 3

For further details contact,

The Department of Mathematics,
Amrita School of Engineering, Bengaluru

You can join this program at
Degree: 
Postgraduate (PG)
School: 
School of Engineering
Campuses: 
Bengaluru