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- Issued in public interest by Directorate of Admissions and Academic Outreach
Department of Mathematics offers 5 Year Integrated M. Sc. program in Mathematics and is intended to provide students with a comprehensive understanding of theoretical, analytical and research-oriented approaches. The curriculum consists of Core and Elective courses over ten semesters, with an opportunity to quit at the end of the sixth semester with a B. Sc. Degree. In fact, this Program draws on courses in pure mathematics that are essential to prepare for any national level competitive examinations. There are also few courses in Statistics and Computer Science which are of industrial importance in the current scenario. Students can select from a selection of elective courses It is quite significant to mention that the factual strength of the program is the availability of potential faculty, all with PhD and many are from elite institutions having expertise in various domains of Mathematics. The rich experience of them in teaching pure mathematics for the School of Physical Sciences and applied mathematics for the School of Engineering is no doubt a great godsend for an aspirant to study M. Sc. Mathematics at Amrita Vishwa Vidyapeetham.
This Program offers a substantial opportunity for independent study and research in the form of a project work in tenth semester and transforming it into Dissertation. This project work will be typically involving literature survey, investigation and their contribution over a particular area of Mathematical Sciences. This dissertation will result in a research article for publication in a reputed journal and is strongly believed to help aspirants planning for PhD. However, the courses on Statistics and Computer Science will enable the students interested over industrial opportunities to secure lucrative jobs with the supportive courses on soft skills.
The students exchange program is another vital feature that helps students who wish to explore the possibilities of higher studies in top Universities of USA and Europe countries. Our students are pursuing PhD Program in prestigious institutions in and outside India as well.
Primarily this program is designed for the students aiming for original research in mathematics.
Kindly review admission requirements and other information before applying. You can find degree program-specific admission requirements in website on applying from the Department of Mathematics
Program Duration: 5 years (10 Semesters)
Applications for admission to UG and Integrated degree programmes based on +2 / HSE / Intermediate / equivalent marks except B.Tech, Nursing, and Allied Health Sciences is now open.
Please ignore if you have already applied.
If you have already applied for the aforesaid courses through Amrita Entrance Examinations 2023, you need to only enter your +2 / HSE / Intermediate / equivalent marks in AOAP Portal and upload the relevant Mark Statement immediately after publication of results.
50% Marks Aggregate in Physics, Chemistry and Mathematics in the Higher Secondary examination and a Valid Rank in the Amrita Entrance Examination-Physical Sciences
20% of the seats is reserved for Students with a valid Rank in Amrita Entrance Examination- Engineering, JEE, ISER, CUET, NEET.
Students can be admitted based on merit/rank from other national level entrance tests.
5-Year Integrated M.Sc. Mathematics – 5 years (10 semesters)
Duration – 2 Hours
Total Marks – 100
Physics – 25
Chemistry – 25
Mathematics – 25
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 21ENG101 | Communicative English | 2 0 2 | 3 | A |
| Language Paper I | 1 0 2 | 2 | B | |
| 22PHY101/ 22COM101 | Physics / Introduction to Management and Finance | 3 0 0 | 3 | D |
| 22MAT101 | Calculus of single variable | 3 0 2 | 4 | G |
| 22MAT102 | Discrete Structures | 3 1 0 | 4 | F |
| 22CSA101 | Computer Programming-C | 3 0 0 | 3 | C |
| 22CSA182 | Computer Programming Lab. | 0 0 2 | 1 | L1 |
| 22PHY181/ 22CSA181 | Physics lab / PC Software Lab. | 0 0 2 | 1 | L2 |
| 21CUL101 | Cultural Education I | 2 0 0 | 2 | E |
| Total | 23 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 21ENG111 | Professional Communication | 1 0 2 | 2 | A |
| Language Paper II | 1 0 2 | 2 | B | |
| 22CHY111 / 22COM111 | Chemistry / Basics of Accountancy | 3 0 0 | 3 | C |
| 22MAT111 | Real Analysis-I | 3 1 0 | 4 | G |
| 22MAT112 | Algebra-I (Group Theory) | 3 1 0 | 4 | F |
| 22CSA111 | Advanced Computer Programming – C | 3 0 0 | 3 | D |
| 22CSA183 | Advanced Computer Programming Lab. | 0 0 2 | 1 | L1 |
| 22CHY181 / 22COM181 | Chemistry Lab. / Accounting Lab. | 0 0 2 | 1 | L2 |
| 21CUL111 | Cultural Education II | 2 0 0 | 2 | E |
| 22AVP103 | Mastery Over Mind | 1 0 2 | 2 | |
| Total | 24 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT201 | Algebra-II (Rings) | 3 1 0 | 4 | A |
| 22MAT202 | Real Analysis -II (Metric Spaces) | 3 1 0 | 4 | B |
| 22MAT203 | Probability Theory | 3 0 2 | 4 | J |
| 22MAT204 | Differential Equations | 3 0 2 | 4 | H |
| 22MAT205 | Calculus of Several Variables | 3 0 2 | 4 | E |
| 19ENV300 | Environmental Science | P/F | D | |
| 21SSK201 | Life Skills I | 1 0 2 | 2 | G |
| 22MAT281 | Python programing Lab | 1 0 2 | 2 | H |
| 21AVP201 | Amrita Values Programme I | 1 0 0 | 1 | F |
| Total | 25 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT211 | Real Analysis-III | 3 1 0 | 4 | A |
| 22MAT212 | Algebra-III (Linear Algebra) | 3 0 2 | 4 | B |
| 22MAT213 | Numerical Methods | 3 0 0 | 3 | C |
| 22MAT214 | Statistical Inference Theory | 3 0 2 | 4 | D |
| 22MAT215 | Combinatorics | 2 1 0 | 3 | E |
| Open Elective A* | 3 0 0 | 3 | J | |
| 22MAT282 | Numerical Methods Lab (MAT Lab) | 0 0 2 | 1 | L1 |
| 21SSK211 | Life Skills II | 1 0 2 | 2 | G |
| 21AVP211 | Amrita Values Programme II | 1 0 0 | 1 | F |
| Total | 25 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT301 | Operations Research | 3 0 2 | 4 | A |
| 22MAT302 | Algebra-IV (Field Theory) | 3 1 0 | 4 | B |
| 22MAT303 | Basic Graph Theory and Coding Theory | 3 1 0 | 4 | C |
| 22MAT304 | Complex Analysis | 3 1 0 | 4 | D |
| 22MAT305 | Number Theory | 3 1 0 | 4 | E |
| 22MAT390 | Live-in-Lab.@ / Open Elective B* | 3 0 0 | 3 | J |
| 21SSK301 | Life Skills III | 1 0 2 | 2 | G |
| Total | 25 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT311 | Optimization Theory | 3 0 2 | 4 | A |
| 22MAT312 | Stochastic Process | 2 1 0 | 3 | B |
| 22MAT313 | Basic Topology | 3 1 0 | 4 | C |
| 22MAT314 | Formal Languages and Automata Theory | 3 0 2 | 4 | D |
| 22MAT315 | Calculus of Variations | 3 1 0 | 4 | E |
| Total | 19 | |||
| 22MAT399 | Project (for Exit-option Students) | 6 | P | |
| Total | 25 | |||
| Total (for Exit-option students) | 147 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT501 | Advanced Algebra | 3 1 0 | 4 | A |
| 22MAT502 | Advanced Real Analysis | 3 1 0 | 4 | B |
| 22MAT503 | Ordinary Differential Equations | 3 0 2 | 4 | C |
| 22MAT504 | Functional Analysis-I | 3 1 0 | 4 | C |
| 22MAT581 | Mathematics Lab | 0 0 2 | 1 | L1 |
| 22MAT505 | Data Structures and Algorithms | 3 0 2 | 4 | E |
| Total | 21 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT511 | Advanced Complex Analysis | 3 1 0 | 4 | A |
| 22MAT512 | Advanced Topology | 3 1 0 | 4 | A |
| 22MAT513 | Partial Differential Equations | 3 0 2 | 4 | B |
| 22MAT514 | Measure Theory | 4 0 0 | 4 | C |
| Elective I | 3 0 0 | 3 | E | |
| Elective II | 3 0 0 | 3 | L | |
| Total | 22 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT601 | Advanced Graph Theory | 3 0 2 | 4 | A |
| 22MAT602 | Functional Analysis-II | 3 1 0 | 4 | B |
| 22MAT603 | Mathematical Foundations of Incompressible Fluid Flow | 3 1 0 | 4 | C |
| Elective III | 3 0 0 | 3 | D | |
| Elective IV | 3 0 0 | 3 | E | |
| Elective V | 3 0 0 | 3 | F | |
| 22MAT690 | Seminar | 0 0 2 | 1 | G |
| Total | 22 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT699 | Dissertation | 10 | P | |
| Total | 13 | |||
| Total | 219 |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT631 | Algebraic Geometry | 3 0 0 | 3 | D/E |
| 22MAT632 | Algebraic Topology | 3 0 0 | 3 | D/E |
| 22MAT633 | Commutative Algebra | 3 0 0 | 3 | D/E |
| 22MAT634 | Finite Field | 3 0 0 | 3 | D/E |
| 22MAT635 | Information and Coding Theory | 3 0 0 | 3 | D/E |
| 22MAT636 | Lie Algebra | 3 0 0 | 3 | D/E |
| 22MAT637 | Linear Algebra (for M.Sc students) | 3 0 0 | 3 | D/E |
| 22MAT638 | Representation Theory | 3 0 0 | 3 | D/E |
| 22MAT639 | Semi group Theory | 3 0 0 | 3 | D/E |
| 22MAT640 | Theory of Manifolds | 3 0 0 | 3 | D/E |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT641 | Fixed Point Theory | 3 0 0 | 3 | D/E |
| 22MAT642 | Fractals | 3 0 0 | 3 | D/E |
| 22MAT643 | Harmonic Analysis | 3 0 0 | 3 | D/E |
| 22MAT644 | Nonlinear Partial Differential Equations | 3 0 0 | 3 | D/E |
| 22MAT645 | Wavelet Analysis | 3 0 0 | 3 | D/E |
| 22MAT646 | Mathematical Physics | 3 0 0 | 3 | D/E |
| 22MAT647 | Operator Theory | 3 0 0 | 3 | D/E |
| 22MAT648 | Fourier transform and Distribution Theory | 3 0 0 | 3 | D/E |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT671 | Queuing Theory and Inventory Control Theory | 3 0 0 | 3 | D/E |
| 22MAT672 | Statistical Pattern Classifications | 3 0 0 | 3 | D/E |
| 22MAT673 | Statistical Quality Control and Six Sigma Quality Analysis | 3 0 0 | 3 | D/E |
| 22MAT674 | Theory of Sampling and Design of Experiments | 3 0 0 | 3 | D/E |
| 22MAT675 | Time Series Analysis | 3 0 0 | 3 | D/E |
| 22MAT676 | Statistical Techniques For Data Analytics | 3 0 0 | 3 | D/E |
| 22MAT677 | Mathematical Finance | 3 0 0 | 3 | D/E |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT641 | Fixed Point Theory | 3 0 0 | 3 | D/E |
| 22MAT642 | Fractals | 3 0 0 | 3 | D/E |
| 22MAT643 | Harmonic Analysis | 3 0 0 | 3 | D/E |
| 22MAT644 | Nonlinear Partial Differential Equations | 3 0 0 | 3 | D/E |
| 22MAT645 | Wavelet Analysis | 3 0 0 | 3 | D/E |
| 22MAT646 | Mathematical Physics | 3 0 0 | 3 | D/E |
| 22MAT647 | Operator Theory | 3 0 0 | 3 | D/E |
| 22MAT648 | Fourier transform and Distribution Theory | 3 0 0 | 3 | D/E |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT651 | Advance Boundary Layer Theory | 3 0 0 | 3 | D/E |
| 22MAT652 | Computational Fluid Dynamics | 3 0 0 | 3 | D/E |
| 22MAT653 | Finite Element Method | 3 0 0 | 3 | D/E |
| 22MAT654 | Magneto-Hydro Dynamics | 3 0 0 | 3 | D/E |
| 22MAT655 | Advanced Numerical Analysis | 3 0 0 | 3 | D/E |
| 22MAT656 | Hemodynamics | 3 0 0 | 3 | D/E |
| 22MAT657 | Stochastic Differential Equations | 3 0 0 | 3 | D/E |
| 22MAT658 | Singular Perturbation Theory | 3 0 0 | 3 | D/E |
| 22MAT659 | Nonlinear Dynamics and Chaos | 3 0 0 | 3 | D/E |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 22MAT660 | Machine Learning | 3 0 0 | 3 | D/E |
| 22MAT661 | Algorithms For Advanced Computing | 3 0 0 | 3 | D/E |
| 22MAT662 | Computer Aided Design for VLSI Circuits | 3 0 0 | 3 | D/E |
| 22MAT663 | Cryptography | 3 0 0 | 3 | D/E |
| 22MAT664 | Fuzzy Sets and its Applications | 3 0 0 | 3 | D/E |
| 22MAT665 | Introduction to Soft Computing | 3 0 0 | 3 | D/E |
| 22MAT666 | Object-Oriented Programming and Python | 3 0 0 | 3 | D/E |
| 22MAT667 | Graph Analytics and Applications | 3 0 0 | 3 | D/E |
| 22MAT668 | Social Network Analysis | 3 0 0 | 3 | D/E |
| 22MAT669 | Computer Aided Drug Design | 3 0 0 | 3 | D/E |
| 22MAT670 | Evolutionary Game Dynamics | 3 0 0 | 3 | D/E |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| Paper I | ||||
| 21TAM101 | Tamil I | 1 0 2 | 2 | B |
| 21HIN101 | Hindi I | 1 0 2 | 2 | B |
| 21MAL101 | Malayalam I | 1 0 2 | 2 | B |
| 21SAN101 | Sanskrit I | 1 0 2 | 2 | B |
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| Paper II | ||||
| 21TAM111 | Tamil II | 1 0 2 | 2 | B |
| 21HIN111 | Hindi II | 1 0 2 | 2 | B |
| 21MAL111 | Malayalam II | 1 0 2 | 2 | B |
| 21SAN111 | Sanskrit II | 1 0 2 | 2 | B |
* Two Open Elective courses are to be taken by each student, one each at the 4th and the 5th semesters, from the list of Open electives offered by the School.
@ Course code for Live in Lab
@ Students undertaking and registering for a Live-in-Lab project, can be exempted from registering for an Open Elective course in the fifth semester
| Course Code | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 21OEL231 | A Journey towards Free India | 3 0 0 | 3 | J |
| 21OEL232 | Political Leadership | 3 0 0 | 3 | J |
| 21OEL233 | Social issues in Contemporary India | 3 0 0 | 3 | J |
| 21OEL234 | The Story of Indian Business | 3 0 0 | 3 | J |
| 21OEL235 | Industrial Psychology | 3 0 0 | 3 | J |
| 21OEL236 | Advertising | 3 0 0 | 3 | J |
| 21OEL237 | Basic Statistics | 3 0 0 | 3 | J |
| 21OEL238 | Citizen Journalism | 3 0 0 | 3 | J |
| 21OEL239 | Creative Writing for Beginners | 3 0 0 | 3 | J |
| 21OEL240 | Desktop Support and Services | 3 0 0 | 3 | J |
| 21OEL241 | Development Journalism | 3 0 0 | 3 | J |
| 21OEL242 | Digital Photography | 3 0 0 | 3 | J |
| 21OEL243 | Emotional Intelligence | 3 0 0 | 3 | J |
| 21OEL244 | Essence of Spiritual Literature | 3 0 0 | 3 | J |
| 21OEL245 | Film Theory | 3 0 0 | 3 | J |
| 21OEL246 | Fundamentals of Network Administration | 3 0 0 | 3 | J |
| 21OEL247 | Gender Studies | 3 0 0 | 3 | J |
| 21OEL248 | Glimpses of Indian Economy and Polity | 3 0 0 | 3 | J |
| 21OEL249 | Graphics and Web-designing Tools | 3 0 0 | 3 | J |
| 21OEL250 | Green Marketing | 3 0 0 | 3 | J |
| 21OEL251 | Healthcare and Technology | 3 0 0 | 3 | J |
| 21OEL252 | History of English Literature | 3 0 0 | 3 | J |
| 21OEL253 | Indian Writing in English | 3 0 0 | 3 | J |
| 21OEL254 | Industrial Relations and Labour Welfare | 3 0 0 | 3 | J |
| 21OEL255 | Introduction to Ancient Indian Yogic and Vedic Wisdom | 3 0 0 | 3 | J |
| 21OEL256 | Introduction to Computer Hardware | 3 0 0 | 3 | J |
| 21OEL257 | Introduction to Event Management | 3 0 0 | 3 | J |
| 21OEL258 | Introduction to Media | 3 0 0 | 3 | J |
| 21OEL259 | Introduction to Right to Information Act | 3 0 0 | 3 | J |
| 21OEL260 | Introduction to Translation | 3 0 0 | 3 | J |
| 21OEL261 | Linguistic Abilities | 3 0 0 | 3 | J |
| 21OEL262 | Literary Criticism and Theory | 3 0 0 | 3 | J |
| 21OEL263 | Macro Economics | 3 0 0 | 3 | J |
| 21OEL264 | Managing Failure | 3 0 0 | 3 | J |
| 21OEL265 | Media Management | 3 0 0 | 3 | J |
| 21OEL266 | Micro Economics | 3 0 0 | 3 | J |
| 21OEL267 | Micro Finance, Small Group Management and Cooperatives | 3 0 0 | 3 | J |
| 21OEL268 | Negotiation and Counselling | 3 0 0 | 3 | J |
| 21OEL269 | New Literatures | 3 0 0 | 3 | J |
| 21OEL270 | Non-Profit Organization | 3 0 0 | 3 | J |
| 21OEL271 | Personal Effectiveness | 3 0 0 | 3 | J |
| 21OEL272 | Perspectives in Astrophysics and Cosmology | 3 0 0 | 3 | J |
| 21OEL273 | Principles of Marketing | 3 0 0 | 3 | J |
| 21OEL274 | Principles of Public Relations | 3 0 0 | 3 | J |
| 21OEL275 | Science, Society and Culture | 3 0 0 | 3 | J |
| 21OEL276 | Statistical Analysis | 3 0 0 | 3 | J |
| 21OEL277 | Teamwork and Collaboration | 3 0 0 | 3 | J |
| 21OEL278 | The Message of Bhagwad Gita | 3 0 0 | 3 | J |
| 21OEL279 | Understanding Travel and Tourism | 3 0 0 | 3 | J |
| 21OEL280 | Videography | 3 0 0 | 3 | J |
| 21OEL281 | Vistas of English Literature | 3 0 0 | 3 | J |
| 21OEL282 | Web-Designing Techniques | 3 0 0 | 3 | J |
| 21OEL283 | Organic Farming | 3 0 0 | 3 | J |
| 21OEL284 | Basic Legal Awareness on Protection of Women and Rights | 3 0 0 | 3 | J |
| 21OEL285 | Ritual Performances of Kerala | 3 0 0 | 3 | J |
| 21OEL286 | Documenting Social Issues | 3 0 0 | 3 | J |
| 21OEL287 | Fabrication of Advanced Solar Cell | 3 0 0 | 3 | J |
| 21OEL288 | Basic Concepts of X-ray Diffraction | 3 0 0 | 3 | J |
| 21OEL289 | Introduction to FORTRAN and GNUPLOT | 3 0 0 | 3 | J |
| 21OEL290 | Introduction to Porous Materials | 3 0 0 | 3 | J |
| 21OEL291 | Forensic Science | 3 0 0 | 3 | J |
| 21OEL292 | Introduction to solar Physics | 3 0 0 | 3 | J |
| 21OEL293 | Recycling Recovery and Treatment Methods for Wastes | 3 0 0 | 3 | J |
| 21OEL294 | Acting and Dramatic Presentation | 2 0 2 | 3 | J |
| 21OEL295 | Computerized Accounting | 2 0 2 | 3 | J |
| 21OEL296 | Kerala Mural Art and Painting | 2 0 2 | 3 | J |
| 21OEL297 | Painting | 2 0 2 | 3 | J |
| 21OEL298 | Reporting Rural Issues | 3 0 0 | 3 | J |
| Program Fees | ||
| Slab 1 – for 10 % Top | Slab 2 – for Next 10 % | Slab 3 – for the Remaining |
| 50,000 | 75,000 | 1,00,000 |
Admission Coordinator
Call : +91 8304004400
+91 04842802000
E-Mail:
admissions.asaskochi@amrita.edu
