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M.Phil. Mathematics is a level of postgraduate education in mathematics that usually takes about one to two years to complete. It entails further learning and research into certain fields of mathematics such as real analysis, complex analysis, algebra, topology, differential equations, numerical analysis. The intended outcomes of the program are to equip the students with extensive knowledge in mathematical theory, formulae and techniques so as to specialize in an academic career or engage in mathematical research.
This is the list of common entrance exams accepted for admission to M.Phil. In mathematics are CSIR UGC NET for Mathematical Sciences, GATE Mathematics and Joint Admission Test for M.Sc. Jammu and Kashmir Joint Admission Test (JAM), University Grants Commission National Eligibility Test (UGC-NET) conducted for Mathematics, and state-level tests like Odisha Combined Pre-Master of Education Test (Odisha CPET). Some institutes also have there own written aptitude tests and Interviews for selection of the candidates.
| Feature | Description |
|---|---|
| Full Form | Master of Philosophy (Mathematics) |
| Duration | 2 years (full-time) |
| Course Level | Postgraduate |
| Eligibility | Master's degree in Mathematics or a related field with a minimum of 50-55% marks |
| Top Colleges (India) | Indian Institute of Science (IISc) Bangalore, Indian Statistical Institute (ISI) Kolkata and Delhi, University of Delhi (DU), University of Mumbai (MU), Chennai Mathematical Institute (CMI) |
1. Minimum 55% passport in Bachelor of science in Mathematics or Bachelor of science in Computer science from a recognized university.
2. Entrance test score for which the university has a cut off or its own entrance test like CUCET.
3. Submit within the stipulated dates in accordance to the University requirement and attach the necessary documents.
4. If there is any selection process that involves a personal interview, clear all the personal interview if you have to.
5. They do not require initial qualifications but final year graduation students can apply provisionally provided they meet requirements later on.
6. As per the government norms for the SC/ST/OBC/PwD candidates for the reservation and various relaxations.
| Subject | Important Topics |
|---|---|
| Advanced Calculus | Multivariable differentiation and integration, Line integrals, Double integrals, Triple integrals, Vector calculus, Green's theorem, Stokes' theorem, Divergence theorem. |
| Abstract Algebra | Group theory, Ring theory, Field theory, Module theory, Galois theory. |
| Real Analysis | Measure theory, Integration theory, Functional analysis, Metric spaces, Topological spaces. |
| Complex Analysis | Analytic functions, Complex integration, Residues, Conformal mapping, Riemann surfaces. |
| Differential Equations | Ordinary differential equations, Partial differential equations, Dynamical systems, Numerical methods. |
| Topology | General topology, Algebraic topology, Differential topology, Geometric topology. |
| Elective Courses | Depending on the specialization offered by the program, electives may cover topics like: Numerical analysis, Optimization theory, Mathematical physics, Cryptography, Operations research, Fluid dynamics. |
| College Name | Location | Expected Fees Range (per year) |
|---|---|---|
| Indian Institute of Science (IISc) Bangalore | Bangalore, Karnataka | ₹ 20,000 - ₹ 50,000 |
| University of Delhi (DU) | Delhi | ₹ 10,000 - ₹ 25,000 |
| Indian Statistical Institute (ISI) Kolkata | Kolkata, West Bengal | ₹ 15,000 - ₹ 30,000 |
| Indian Statistical Institute (ISI) Delhi | Delhi | ₹ 15,000 - ₹ 30,000 |
| Chennai Mathematical Institute (CMI) | Chennai, Tamil Nadu | ₹ 25,000 - ₹ 40,000 |
| University of Mumbai (MU) | Mumbai, Maharashtra | ₹ 10,000 - ₹ 20,000 |
| Banaras Hindu University (BHU) | Varanasi, Uttar Pradesh | ₹ 8,000 - ₹ 15,000 |
| Allahabad University | Allahabad, Uttar Pradesh | ₹ 5,000 - ₹ 12,000 |
| University of Calcutta | Kolkata, West Bengal | ₹ 6,000 - ₹ 15,000 |
| College Name | Location | Expected Fees Range (per year) |
|---|---|---|
| Christ University (Deemed University) | Bangalore, Karnataka | ₹ 1,00,000 - ₹ 1,50,000 |
| Symbiosis International University (SIU) | Pune, Maharashtra | ₹ 80,000 - ₹ 1,20,000 |
| Amity University | Multiple Locations | ₹ 70,000 - ₹ 1,00,000 |
| The Tamil Nadu Dr. M.G.R. Educational and Research Institute (Deemed University) | Chennai, Tamil Nadu | ₹ 50,000 - ₹ 80,000 |
| Birla Institute of Technology and Science (BITS) Pilani (Deemed University) | Pilani & Other Campuses | ₹ 1,20,000 - ₹ 1,80,000 |
| Indian Institute of Information Technology and Management (IIITM) Gwalior (Public-Private Partnership) | Gwalior, Madhya Pradesh | ₹ 80,000 - ₹ 1,20,000 |
| SRM Institute of Science and Technology (Deemed University) | Chennai, Tamil Nadu | ₹ 70,000 - ₹ 1,00,000 |
| Manipal Academy of Higher Education (Deemed University) | Manipal, Karnataka | ₹ 80,000 - ₹ 1,10,000 |
| Vellore Institute of Technology (VIT) (Deemed University) | Vellore, Tamil Nadu | ₹ 1,00,000 - ₹ 1,40,000 |
| Amity University Online | Online | ₹ 50,000 - ₹ 80,000 |
| Specialization | Job Titles | Average Annual Salary (INR) |
|---|---|---|
| Applied Mathematics | Financial Analyst, Operations Research Analyst, Data Scientist, Machine Learning Engineer | 6,00,000 - 10,00,000 |
| Computational Mathematics | Scientific Programmer, Simulation Analyst, High-Performance Computing Specialist | 5,00,000 - 8,00,000 |
| Cryptography | Cryptographic Engineer, Information Security Analyst, Security Consultant | 7,00,000 - 12,00,000 |
| Fluid Dynamics | Aerodynamicist, CFD Engineer, Computational Scientist | 5,50,000 - 9,00,000 |
| Mathematical Physics | Theoretical Physicist, Mathematical Modeler, Research Scientist | 6,00,000 - 10,00,000 |
| Numerical Analysis | Numerical Analyst, Software Developer, Quantitative Analyst | 5,00,000 - 8,00,000 |
| Operations Research | Operations Research Analyst, Management Analyst, Business Analyst | 5,50,000 - 9,00,000 |
| Pure Mathematics | Research Scientist, Professor, Mathematician | - |
| Statistics | Statistician, Data Analyst, Business Intelligence Analyst | 5,00,000 - 8,00,000 |
