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M-SC in Mathematics at SRM Institute of Science and Technology
Chengalpattu, Tamil Nadu
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About the Specialization
What is Mathematics at SRM Institute of Science and Technology Chengalpattu?
This M.Sc. Mathematics program at SRM Institute of Science and Technology focuses on advanced mathematical theories, analytical problem-solving, and their applications. It is designed to cultivate deep understanding in core areas like algebra, analysis, and differential equations, alongside exposure to contemporary fields like data analytics and financial mathematics. The program emphasizes a blend of theoretical rigor and practical relevance, catering to the evolving demands of research and industry in India.
Who Should Apply?
This program is ideal for Bachelor of Science graduates in Mathematics, Statistics, Computer Science, or BCA with a strong mathematical foundation. It is suited for fresh graduates aspiring to pursue higher research, enter academia, or secure quantitative roles in industries. Working professionals seeking to enhance their analytical skills for career advancement in data science, finance, or R&D also find this program beneficial.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including roles as data scientists, quantitative analysts, research associates, and educators. Entry-level salaries typically range from INR 4-7 lakhs per annum, with experienced professionals earning significantly more. The strong theoretical base and optional industry-relevant electives prepare students for advanced studies, competitive exams like NET/SET, and positions in leading Indian and multinational companies.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Dedicate time to thoroughly understand fundamental concepts in Abstract Algebra, Real Analysis, and Differential Equations. Regular practice of problems and theorem proofs is crucial. Utilize textbook examples, tutorial sessions, and peer study groups to solidify understanding.
Tools & Resources
NPTEL online courses for foundational math, Standard textbooks by reputed authors (e.g., Dummit & Foote, Rudin), Departmental problem-solving workshops
Career Connection
A strong foundation in core mathematics is essential for advanced studies, research, and any quantitative role, providing the analytical backbone for complex problem-solving in industry.
Develop Programming and Computational Skills- (Semester 1-2)
Beyond theoretical knowledge, actively learn and apply numerical methods using programming languages like Python or R. This helps in solving complex mathematical problems computationally and is a vital skill for modern data-driven careers.
Tools & Resources
Online platforms like Coursera/edX for Python/R, Jupyter Notebooks for practice, MATLAB for numerical simulations
Career Connection
Proficiency in computational tools is highly valued in data science, quantitative finance, and research roles, making graduates industry-ready for technical positions.
Engage in Early Research or Mini-Projects- (Semester 1-2)
Actively participate in the Internship/Project-I and II courses. Seek out faculty members for guidance on mini-research projects or problem statements. This early exposure helps in developing research aptitude and practical application of learned theories.
Tools & Resources
SRMIST Research Portal, Departmental research labs, Academic journals (e.g., Indian Journal of Pure and Applied Mathematics)
Career Connection
Early project experience enhances critical thinking, problem-solving abilities, and provides a competitive edge for future internships, higher studies, and R&D roles.
Intermediate Stage
Specialise Through Electives and Advanced Topics- (Semester 3)
Carefully choose Open and Professional Electives (e.g., Data Analytics, Financial Mathematics, Optimization) that align with your career interests. Deep dive into these subjects beyond the curriculum, exploring advanced texts and case studies.
Tools & Resources
MOOCs for specialized topics, Professional body resources (e.g., Actuarial Society of India), Industry whitepapers and research articles
Career Connection
Focused specialization makes you a desirable candidate for specific industry roles like quant analyst or data scientist, showcasing expertise and passion in a chosen domain.
Pursue Internships and Industry Exposure- (Semester 3)
Actively seek internships during semester breaks or as part of the Capstone Project. This provides invaluable real-world experience, helps build professional networks, and clarifies career aspirations. Focus on companies in your chosen specialization area.
Tools & Resources
SRMIST Placement Cell, LinkedIn, Internshala for internship listings, Networking events and career fairs
Career Connection
Internships are often a direct path to full-time employment, offering practical skills and industry contacts crucial for securing good placements in India.
Prepare for National Level Examinations- (Semester 3)
For those aspiring to research, academia, or public sector roles, begin preparing for examinations like CSIR NET, GATE (Mathematics), or SET. Integrate study for these exams with your coursework to maximize efficiency.
Tools & Resources
Previous year question papers, Online test series and coaching modules, Reference books specific to exam syllabi
Career Connection
Success in these exams opens doors to PhD programs, Junior Research Fellowships, Assistant Professorships, and government research positions, offering significant career advantages.
Advanced Stage
Undertake a Comprehensive Project Work- (Semester 4)
Engage deeply in your final year Project Work, aiming for novelty and practical impact. Choose a topic that excites you and aligns with your career goals. This is your chance to demonstrate independent research, problem-solving, and analytical capabilities.
Tools & Resources
Academic advisors and mentors, SRMIST Digital Library for research papers, Advanced statistical software (e.g., MATLAB, Mathematica, R, Python)
Career Connection
A strong project is a powerful differentiator for placements and higher studies applications, showcasing your ability to conduct sustained, in-depth work and contribute meaningfully.
Develop Communication and Presentation Skills- (Semester 4)
Beyond technical expertise, master the art of conveying complex mathematical ideas clearly and concisely, both orally and in written reports. Actively participate in seminars, project presentations, and technical writing assignments.
Tools & Resources
Toastmasters International (if available on campus), Departmental seminar series, Grammarly for written communication feedback
Career Connection
Effective communication is paramount in any professional setting, enabling you to articulate findings, influence decisions, and collaborate successfully within teams, crucial for leadership roles.
Strategize for Placements and Career Planning- (Semester 4)
Utilize the final semester for intensive placement preparation, including resume building, aptitude test practice, technical interview preparation, and mock interviews. Tailor your application strategy to specific companies and roles aligned with your specialization.
Tools & Resources
SRMIST Career Development Centre, Online aptitude test platforms (e.g., PrepInsta, IndiaBix), Company-specific interview guides and alumni network
Career Connection
Proactive and strategic placement preparation maximizes your chances of securing desirable job offers from top Indian and multinational companies, launching a successful career.
Program Structure and Curriculum
Eligibility:
- A Bachelor''''s degree in Mathematics, Applied Mathematics, Statistics, Computer Science, or BCA with Mathematics as a subject, with a minimum of 50% aggregate marks or equivalent.
Duration: 2 years (4 semesters)
Credits: 85 Credits
Assessment: Internal: 50%, External: 50%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| PMT23101 | Abstract Algebra | Core | 4 | Groups, Permutation Groups, Rings, Ideals, Unique Factorization Domains, Euclidean Domains |
| PMT23102 | Real Analysis | Core | 4 | Metric Spaces, Continuity, Riemann-Stieltjes Integral, Sequences and Series of Functions, Lebesgue Integration |
| PMT23103 | Ordinary Differential Equations | Core | 4 | Linear Differential Equations, Series Solutions, Existence and Uniqueness, Boundary Value Problems, Green''''s Function |
| PMT23104 | Probability and Statistics | Core | 4 | Probability, Random Variables, Probability Distributions, Sampling Distributions, Estimation Theory, Hypothesis Testing |
| PMT23105 | Numerical Methods | Core | 4 | Solution of Equations, Interpolation, Numerical Differentiation, Numerical Integration, Numerical Solutions to ODEs |
| PBL23101 | Internship / Project-I | Project | 1 | Problem Identification, Literature Review, Methodology Planning, Basic Implementation |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| PMT23201 | Linear Algebra | Core | 4 | Vector Spaces, Linear Transformations, Eigenvalues and Eigenvectors, Inner Product Spaces, Bilinear Forms |
| PMT23202 | Complex Analysis | Core | 4 | Analytic Functions, Complex Integration, Series Expansions, Residue Theorem, Conformal Mappings |
| PMT23203 | Partial Differential Equations | Core | 4 | First Order PDEs, Classification of PDEs, Wave Equation, Heat Equation, Laplace Equation, Green''''s Function |
| PMT23204 | Topology | Core | 4 | Topological Spaces, Continuous Functions, Connectedness, Compactness, Countability and Separation Axioms |
| PMT23205 | Mathematical Programming | Core | 4 | Linear Programming, Duality Theory, Transportation Problem, Assignment Problem, Non-linear Programming |
| PBL23201 | Internship / Project-II | Project | 1 | Advanced Problem Solving, Data Analysis, Tool Implementation, Report Writing |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| PMT23301 | Functional Analysis | Core | 4 | Normed Linear Spaces, Banach Spaces, Hilbert Spaces, Linear Operators, Hahn-Banach Theorem |
| PMT23302 | Measure Theory | Core | 4 | Lebesgue Measure, Measurable Functions, Lebesgue Integral, Modes of Convergence, Signed Measures |
| PMT23303 | Operations Research | Core | 4 | Queueing Theory, Inventory Control, Replacement Theory, Network Analysis, Game Theory |
| PMT23OE1 | Data Analytics Using R | Open Elective | 3 | R Fundamentals, Data Manipulation, Data Visualization, Statistical Models, Machine Learning in R |
| PMT23OE2 | Introduction to Cryptography | Open Elective | 3 | Classical Ciphers, Symmetric Key Cryptography, Asymmetric Key Cryptography, Hash Functions, Digital Signatures |
| PMT233E1 | Difference Equations | Professional Elective | 3 | Linear Difference Equations, Stability Theory, Oscillations, Applications in Population Dynamics |
| PMT233E2 | Advanced Number Theory | Professional Elective | 3 | Congruences, Quadratic Residues, Diophantine Equations, Farey Sequences, Continued Fractions |
| PMT233E3 | Financial Mathematics | Professional Elective | 3 | Interest Theory, Derivatives, Options and Futures, Stochastic Models in Finance, Bond Valuation |
| PMT233E4 | Fluid Dynamics | Professional Elective | 3 | Ideal Fluids, Viscous Fluids, Boundary Layers, Incompressible Flow, Stokes Flow |
| PBL23301 | Capstone Project / Internship | Project | 3 | Comprehensive Project Development, Advanced Problem Solving, Industry Application, Final Report Preparation |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| PMT23OE3 | Optimization Techniques | Open Elective | 3 | Linear Programming, Non-linear Programming, Integer Programming, Dynamic Programming, Metaheuristics |
| PMT23OE4 | Mathematical Modelling | Open Elective | 3 | Principles of Modelling, Discrete Models, Continuous Models, Simulation, Case Studies |
| PMT234E1 | Fuzzy Set Theory | Professional Elective | 3 | Fuzzy Sets and Relations, Fuzzy Arithmetic, Fuzzy Logic, Fuzzy Control Systems, Applications |
| PMT234E2 | Graph Theory | Professional Elective | 3 | Graphs and Trees, Connectivity, Euler and Hamiltonian Paths, Matching and Coverings, Planarity and Coloring |
| PMT234E3 | Wavelet Analysis | Professional Elective | 3 | Fourier Transform, Wavelets and Multiresolution Analysis, Discrete Wavelet Transform, Continuous Wavelet Transform, Applications |
| PMT234E4 | Algebraic Topology | Professional Elective | 3 | Homotopy Theory, Fundamental Group, Covering Spaces, Simplicial Homology, CW Complexes |
| PMT234E5 | Computational Fluid Dynamics | Professional Elective | 3 | Finite Difference Method, Finite Volume Method, Navier-Stokes Equations, Turbulence Models, Grid Generation |
| PMT234E6 | Actuarial Mathematics | Professional Elective | 3 | Interest Rates, Life Contingencies, Annuities and Insurance, Risk Theory, Survival Models |
| PMT23PW01 | Project Work | Project | 12 | Independent Research, Thesis Writing, Advanced Problem Solving, Data Analysis and Interpretation, Presentation and Viva Voce |
