Admissions 2020
Admissions 2021 Open Now
"AMRITA" is established under section 3 of UGC ACT 1956
Academics
The School of Arts & Sciences, Amritapuri offers M. Sc. in Mathematics program.
The M.Sc. Mathematics program, a 2-Year PG program, commenced in 2012 with the aim of encouraging enthusiastic and deserving graduates in their pursuit of post-graduation. The course is similar in composition as that of the concluding 2-year PG constituent of the 5year integrated MSc mathematics/physics program. Many of our alumni have joined prestigious institutes for pursuing Ph. D. and a good number have been professionally well-placed. Experts from Amrita CIR department train and help the students to get good placements. For the final year projects, we send our students to Amrita Research Centres as well as other reputed institutions such as IITs, NITs, and ISI etc. Apart from academics and research, students are provided cultural value based education.
The department conducts workshops and seminars by inviting eminent and experienced faculties from prestigious national and international institutes for the benefit of students and teachers
Curriculum
| 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 |
