Admissions 2019
ACADEMICS
The aim of Amrita Vishwa Vidyapeetham is to strive to develop quality research programmes in many of the frontiers of Science and Technology and the programmes in Mathematics are in line with the vision.. The 5-year integrated M.Sc Mathematics offered by the Department of Mathematics will act as a catalyst for initiating many research programmes, theoretical and practical in nature. Employment opportunities for people qualified with M.Sc. in Mathematics are available in the form of teaching positions in various schools and colleges all over India and abroad. They can work as Scientists and Research Associates in highly reputed institutions, like, ISRO, DRDO, CSIR etc. In addition to the above, they also find lucrative jobs and careers in software industries.
Students graduating from our institution will gain good exposure to a lot of applications in various technical fields, which in turn will help them become efficient teachers, scientists, research associates in highly reputed national and international institutions. Curriculum and syllabi for this programme are on par with any reputed educational institution in India and abroad. Syllabus is framed in such a way that the candidates will be competent enough to take up the tests like NET, SLET, GATE etc.
DURATION
5-Year Integrated M.Sc Mathematics – 5 years (10 semesters)
SALIENT FEATURES OF THE INSTITUTION
- Very comfortable and peaceful ambience for teaching and learning process
- Highly Qualified and Motivated Faculty
- Excellent Infra Structure facilities
- Well equipped library with soft and hard copies of books and articles.
- Guidance to take up NET / SLET / GATE examinations
- Separate Hostels for Boys and Girls
- The hostels and academic blocks are covered by the wireless network system.
- Placement assistance (Separate center for placement and training)
- Guidance to take up international level tests like TOFEL, IELTS, BEC etc.
- Opportunities / facilities for extracurricular and co – curricular activities
- Opportunities for doing interdisciplinary projects.
SALIENT FEATURES OF THE PROGRAMME
- State of art computer labs for Applied Mathematics
- Strong Mathematical backgrounds with Engineering Science applications.
- Possibility of placements in software Industries.
- Possibility of getting the posts of a teacher, scientist, research associate etc in highly reputed national and international institutions.
- Provides competency in the preparation of national level scholarship tests such as UGC/CSIR - NET, GATE etc
Visit Department of Mathematics
Program Outcomes
- Knowledge in Mathematical Science: Understand the basic concepts, fundamental principles and the scientific theories related to mathematical sciences.
- Abstract thinking: Ability to absorb and understand the abstract concepts that lead to various advanced theories in mathematical sciences.
- Modelling and solving: Ability in modelling and solving problems by identifying and employing the appropriate existing theories and methods.
- Advanced theories and methods: Understand advanced theories and methods to design solutions for complex mathematical problems.
- Applications in Engineering and Sciences: Understand the role of mathematical sciences and apply the same to solve the real life problems in various fields of study.
- Modern software tool usage: Acquire the skills in handling scientific tools towards problem solving and solution analysis.
- Environment and sustainability: Understand the significance of preserving the environment towards sustainable development.
- Ethics: Imbibe ethical, moral and social values in personal and social life leading to highly cultured and civilized personality. Continue to enhance the knowl edge and skills in mathematical sciences for constructive activities and demonstrate highest standards of professional ethics.
- Individual and team work: Function effectively as an individual, and as a member or leader in diverse teams, and in multidisciplinary settings.
- Communication: Develop various communication skills such as reading, listening, and speaking which will help in expressing ideas and views clearly and effectively.
- Project management and Research: Demonstrate knowledge, understand the scientific and management principles and apply these to one’s own work, as a member/ leader in a team to manage projects and multidisciplinary research environments. Also use the research-based knowledge to analyse and solve advanced problems in mathematical sciences.
- Life-long learning: Recognize the need for, and have the preparation and ability to engage in independent and life-long learning in the broadest context of technological change.
CURRICULUM
Semester 1
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18ENG101 | Communicative English | 2 0 2 | 3 | A |
| Language Paper I | 1 0 2 | 2 | B | |
| 18MAT101 | Calculus | 3 1 0 | 4 | G |
| 18MAT103 | Discrete Structures | 3 1 0 | 3 | F |
| 18CSA100 | Problem Solving and Computer Programming |
3 0 0 | 3 | C |
| 18PHY102/ 18COM104 |
Physics I / Course on Economics or Commerce |
3 0 0 | 3 | D |
| 18CSA180 | Problem Solving and Computer Programming Lab |
0 0 2 | 1 | L1 |
| 18PHY181/ 18CSA186 |
Physics / PC Software Lab. | 0 0 2 | 1 | L2 |
| 18CUL101 | Cultural Education I | 2 0 0 | 2 | E |
| Total | 23 |
Semester 2
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18ENG121 | Professional Communication | 1 0 2 | 2 | A |
| Language Paper II | 1 0 2 | 2 | B | |
| 18MAT301 | Real Analysis | 3 1 0 | 4 | G |
| 18MAT111 | Groups and Rings | 3 1 0 | 4 | F |
| 18CSA116 | Advanced Computer Programming | 3 0 0 | 3 | D |
| 18CHY113/ 18COM116 |
Chemistry / Course on Economic or Commerce |
3 0 0 | 3 | C |
| 18CSA181 | Advanced Computer Programming Lab |
0 0 2 | 1 | L1 |
| 18CHY181/ 18COM181 |
Chemistry Lab./ Accounting Lab. | 0 0 2 | 1 | L2 |
| 18CUL111 | Cultural Education II | 2 0 0 | 2 | E |
| Total | 22 |
Semester 3
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT203 | Rings, Vector Spaces and Fields | 3 1 0 | 4 | A |
| 18MAT204 | Real Analysis in Higher Dimension | 3 1 0 | 4 | B |
| 18MAT205 | Vector Calculus | 3 1 0 | 4 | J |
| 18MAT201 | Differential Equation | 3 1 0 | 4 | H |
| 18MAT206 | Statics | 2 1 0 | 3 | E |
| 18ENV300 | Environmental Science and Sustainability | 3 0 0 | 3 | D |
| 18SSK201 | Life Skills I | 1 0 2 | 2 | G |
| 18AVP201 | Amrita Value Programme I | 1 0 0 | 1 | F |
| Total | 25 |
Semester 4
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT212 | Linear Algebra | 3 1 0 | 4 | A |
| 18MAT202 | Probability and Statistics | 3 1 0 | 4 | B |
| 18MAT225 | Numerical Methods | 2 1 0 | 3 | C |
| 18MAT214 | Fourier Series and Integral Transforms | 3 1 0 | 4 | D |
| 18MAT215 | Dynamics | 2 1 0 | 3 | E |
| 18MAT290 | Free/Open Elective I | 3 0 0 | 3 | J |
| 18MAT281 | Numerical Methods Lab (MAT Lab) | 0 0 2 | 1 | L1 |
| 18SSK211 | Life Skills II | 1 0 2 | 2 | G |
| 18AVP211 | Amrita Value Programme II | 1 0 0 | 1 | F |
| Total | 26 |
Semester 5
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT310 | Operation Research | 3 1 0 | 4 | A |
| 18MAT344 | Applied Statistics | 3 1 0 | 4 | B |
| 18MAT302 | Basic Graph Theory and Combinatorics | 2 1 0 | 3 | C |
| 18MAT632 | Complex Analysis | 3 1 0 | 4 | D |
| 18MAT345 | Number Theory | 3 1 0 | 4 | E |
| 18MAT381 | Statistics Lab | 0 0 2 | 1 | L1 |
| 18MAT390 | Live-in-Lab.@/ OpenElective B* | 3 0 0 | 3 | J |
| 18SSK301 | Life Skills III | 1 0 2 | 2 | G |
| Total | 25 |
Semester 6
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT311 | Optimization Thoery | 3 1 0 | 4 | A |
| 18MAT312 | Topology | 3 1 0 | 4 | B |
| 18MAT346 | Special Functions | 3 1 0 | 4 | C |
| 18MAT313 | Formal Languages and Automata Theory | 3 1 0 | 4 | D |
| 18MAT314 | Calculus of Variations | 3 1 0 | 4 | E |
| 18MAT391 | Seminar | P/F | ||
| Total | 20 | |||
| 18MAT399 | Project (for Exit-option students) | 6 | P | |
| Total | 26 |
Total Credit (for Exit-option students): 146
Semester 7
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT502 | Advanced Algebra | 4 0 0 | 4 | A |
| 18MAT503 | Advanced Real Analysis | 4 0 0 | 4 | B |
| 18MAT504 | Ordinary Differential Equations | 4 0 0 | 4 | C |
| 18MAT505 | Stochastic Process | 4 0 0 | 4 | C |
| 18MAT581 | Mathematics Lab | 0 0 2 | 1 | L1 |
| Elective I | 3 0 0 | 3 | E | |
| Total | 20 |
Semester 8
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT511 | Advanced Complex Analysis | 4 0 0 | 4 | A |
| 18MAT512 | Advanced Topology | 4 0 0 | 4 | A |
| 18MAT513 | Partial Difference Equation | 4 0 0 | 4 | B |
| 18MAT514 | Measure Theory | 4 0 0 | 4 | C |
| 18MAT515 | Numerical Analysis | 3 0 0 | 3 | E |
| 18MAT582 | Numerical Computations Lab | 0 0 2 | 1 | L1 |
| Total | 20 |
Semester 9
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT601 | Advanced Graph Theory | 4 0 0 | 4 | A |
| 18MAT602 | Functional Analysis | 4 0 0 | 4 | B |
| 18MAT603 | Basic Fluid Dynamics | 4 0 0 | 4 | C |
| Elective II | 3 0 0 | 3 | D | |
| Elective III | 3 0 0 | 3 | E | |
| 18MAT691 | Seminar | 0 0 2 | 1 | F |
| Total | 19 |
Semester 10
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT611 | Operation Theory | 4 0 0 | 4 | A |
| Elective IV | 3 0 0 | 3 | E | |
| 18MAT696 | Dissertation | 10 | P | |
| Total | 17 | |||
| Total | 216 |
Electives( any one stream)
Algebra Stream
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT631 | Algebraic Geometry | 3 0 0 | 3 | D/E |
| 18MAT632 | Algebraic Topology | 3 0 0 | 3 | D/E |
| 18MAT634 | Coding Theory | 3 0 0 | 3 | D/E |
| 18MAT635 | Commutative Algebra | 3 0 0 | 3 | D/E |
| 18MAT636 | Lie Algebra | 3 0 0 | 3 | D/E |
| 18MAT637 | Theory of Manifolds | 3 0 0 | 3 | D/E |
| 18MAT638 | Linear Algebra and its Applications | 3 0 0 | 3 | D/E |
Analysis Stream
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT641 | Fixed Point Theory | 3 0 0 | 3 | D/E |
| 18MAT642 | Fractals | 3 0 0 | 3 | D/E |
| 18MAT643 | Harmonic Analysis | 3 0 0 | 3 | D/E |
| 18MAT644 | Nonlinear Partial Differential Equations | 3 0 0 | 3 | D/E |
| 18MAT645 | Wavelet Analysis | 3 0 0 | 3 | D/E |
| 18MAT646 | Mthematical Physics | 3 0 0 | 3 | D/E |
Statistics Stream
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT651 | Queuing Theory and Inventory Control Theory |
3 0 0 | 3 | D/E |
| 18MAT652 | Random Process | 3 0 0 | 3 | D/E |
| 18MAT653 | Statistical Pattern Classifications | 3 0 0 | 3 | D/E |
| 18MAT654 | Statistical Quality Control and Six Sigma Quality Analysis |
3 0 0 | 3 | D/E |
| 18MAT655 | Theory of Sampling and Design of Experiments |
3 0 0 | 3 | D/E |
| 18MAT656 | Time Series Analysis | 3 0 0 | 3 | D/E |
| 18MAT657 | Statistical Technniques for Data Analytics | |||
| 18MAT658 | Algorithms for Advanced Computing |
Fluid Mechanics Stream
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18MAT661 | Advance Boundary Layer Theory | 3 0 0 | 3 | D/E |
| 18MAT662 | Computational Fluid Dynamics | 3 0 0 | 3 | D/E |
| 18MAT663 | Finite Element Methods | 3 0 0 | 3 | D/E |
| 18MAT664 | Magneto-Hydro Dynamics | 3 0 0 | 3 | D/E |
| 18MAT665 | Mathematical Foundations of Incompressible luid Flow |
3 0 0 | 3 | D/E |
| 18MAT666 | Introduction to Fluid Dynamics | 3 0 0 | 3 | D/E |
| 15MAT661 | Advanced Boundary Layer Theory | |||
Computer Stream
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 18CSA671 | Advanced Data Structures and Algorithms | 3 0 0 | 3 | D/E |
| 18CSA673 | Computer Aided Design of VLSICircuits | 3 0 0 | 3 | D/E |
| 18CSA674 | Cryptography | 3 0 0 | 3 | D/E |
| 18CSA675 | Fuzzy Sets and its Applications | 3 0 0 | 3 | D/E |
| 18CSA676 | Introduction to Soft Computing | 3 0 0 | 3 | D/E |
| 18CSA677 | Object-Oriented Programming and Python | 3 0 0 | 3 | D/E |
Language
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 15HIN101 | Hindi I | 1 0 2 | 2 | B |
| 15KAN101 | Kannada I | 1 0 2 | 2 | B |
| 15MAL101 | Malayalam I | 1 0 2 | 2 | B |
| 15SAN101 | Sanskrit I | 1 0 2 | 2 | B |
| 15TAM101 | Tamil I | 1 0 2 | 2 | B |
| Code No | Course Title | L T P | Cr | ES |
|---|---|---|---|---|
| 15HIN111 | Hindi II | 1 0 2 | 2 | B |
| 15KAN111 | Kannada II | 1 0 2 | 2 | B |
| 15MAL111 | Malayalam II | 1 0 2 | 2 | B |
| 15SAN111 | Sanskrit II | 1 0 2 | 2 | B |
| 15TAM111 | Tamil II | 1 0 2 | 2 | B |
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