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B-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 B.Sc. Mathematics program at SRM Institute of Science and Technology focuses on building a strong foundation in pure and applied mathematics. It covers core areas like algebra, calculus, analysis, and differential equations, alongside electives in areas such as data science, operations research, and financial mathematics. The program emphasizes analytical thinking, problem-solving skills, and a quantitative approach, preparing students for diverse roles in India''''s technology and finance sectors.
Who Should Apply?
This program is ideal for high school graduates with a strong aptitude for mathematics and analytical thinking. It caters to students aspiring for careers in research, data analysis, actuarial science, teaching, or further studies in mathematics or related fields. It also suits individuals who enjoy abstract reasoning, logical problem-solving, and have a curiosity for understanding the fundamental principles governing various scientific and economic phenomena.
Why Choose This Course?
Graduates of this program can expect to pursue various career paths in India, including data analyst (INR 4-8 LPA), statistician (INR 5-10 LPA), financial analyst (INR 4-9 LPA), research associate, or lecturer. The program also prepares students for competitive exams for civil services or further academic pursuits like M.Sc. and Ph.D. in mathematics or related quantitative disciplines, aligning with the growing demand for skilled professionals in analytics and scientific research.
Student Success Practices
Foundation Stage
Build a Strong Mathematical Foundation- (Semester 1-2)
Focus on thoroughly understanding fundamental concepts in Calculus, Algebra, and Real Analysis. Regular practice with textbook problems and supplementary exercises is crucial. Utilize online platforms for problem-solving and conceptual clarity.
Tools & Resources
NPTEL courses on foundational mathematics, Khan Academy, NCERT Exemplar problems, peer study groups
Career Connection
A solid foundation is essential for advanced courses and for competitive exams like CSIR NET, GATE, UPSC, which often test fundamental mathematical concepts.
Develop Effective Study Habits- (Semester 1-2)
Establish a consistent study routine, prioritizing conceptual understanding over rote memorization. Actively participate in class discussions and seek clarifications from faculty. Maintain organized notes and revise regularly for long-term retention.
Tools & Resources
Academic success workshops, time management apps like Todoist, university library resources, faculty office hours
Career Connection
Strong academic performance and disciplined study habits contribute to better grades, scholarship opportunities, and a disciplined approach to professional tasks.
Explore Allied Fields and Programming Basics- (Semester 1-2)
Engage deeply with the chosen allied subjects (Physics, Chemistry, Statistics) and begin exploring basic programming (e.g., Python) even if not directly in the curriculum. This broadens your analytical toolkit and interdisciplinary perspective.
Tools & Resources
Online Python tutorials (Coursera, freeCodeCamp), basic data analysis workshops, joining science/math clubs
Career Connection
Interdisciplinary skills, especially in programming and statistics, are highly valued in modern data-driven roles and research. Early exposure provides a competitive edge in the job market.
Intermediate Stage
Specialize through Electives and Allied Subjects- (Semester 3-5)
Strategically choose Discipline Specific Electives (DSEs) and Allied subjects (Data Science, Operations Research, Computer Science) that align with your career interests. Deep dive into these areas through additional reading, projects, and advanced problem-solving.
Tools & Resources
Research papers in chosen fields, advanced textbooks, specialized online courses (e.g., EdX for data science, Coursera for OR)
Career Connection
This specialization helps in building a focused profile, making you suitable for specific roles like Actuarial Analyst, Data Scientist, or Operations Research Analyst in India.
Engage in Research and Industrial Projects- (Semester 4-5)
Actively seek out opportunities for mini-projects with faculty or industrial training. Apply theoretical knowledge to real-world problems. Document your work diligently and present your findings effectively to showcase practical skills.
Tools & Resources
Faculty research labs, industry tie-ups, internship portals (Internshala, LinkedIn), project management software
Career Connection
Practical experience is invaluable for placements. Projects demonstrate problem-solving abilities, teamwork, and technical skills to potential employers in India and beyond.
Develop Advanced Computational Skills- (Semester 4-5)
Master mathematical software and programming languages relevant to advanced mathematics and data analysis, such as LaTeX for documentation, Python/R for numerical computation, and MATLAB/Mathematica for symbolic computation.
Tools & Resources
Skill Enhancement Courses (SEC), dedicated online tutorials, university computing labs, competitive programming platforms like HackerRank
Career Connection
Proficiency in these tools is a crucial requirement for roles in quantitative finance, scientific computing, data analytics, and academic research, increasing employability.
Advanced Stage
Undertake a Capstone Research Project- (Semester 6)
Dedicate significant effort to the final year project (Project II), focusing on a challenging problem, conducting thorough research, and producing a high-quality thesis. This showcases your independent research capabilities and expertise.
Tools & Resources
Academic mentors, research databases (Scopus, Web of Science), LaTeX for thesis writing, presentation tools
Career Connection
A strong project is a powerful resume builder, demonstrating analytical depth and problem-solving skills, crucial for both higher studies and research-oriented jobs in India and globally.
Prepare for Placements and Higher Studies- (Semester 5-6)
Actively participate in campus placement drives, refining your resume, interview skills, and soft skills (Soft Skills III). Simultaneously, prepare for postgraduate entrance exams like GATE, JAM, or international exams if considering M.Sc. or Ph.D.
Tools & Resources
Career development cell, mock interviews, aptitude test practice books, online courses for specific entrance exams
Career Connection
Targeted preparation ensures successful transition into desired careers, be it industry roles in top Indian companies or advanced academic programs at prestigious institutions.
Network and Build Professional Connections- (Semester 5-6)
Attend seminars, workshops, and conferences. Connect with faculty, alumni, and industry professionals. Join professional mathematical societies to stay updated on advancements and opportunities in the field.
Tools & Resources
LinkedIn, professional society memberships (e.g., Indian Mathematical Society), university alumni network
Career Connection
Networking opens doors to mentorship, internship opportunities, and job referrals, which are vital for career progression and staying competitive in India''''s dynamic job market.
Program Structure and Curriculum
Eligibility:
- Pass in 10+2 / HSC / CBSE / Equivalent Exam with a minimum of 60% aggregate, having studied Mathematics as one of the subjects.
Duration: 3 years / 6 semesters
Credits: 140 Credits
Assessment: Internal: 40%, External: 60%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| LE1XX | Language Elective - I (Tamil/Hindi/French/Sanskrit) | Elective | 3 | Basic grammar and syntax, Reading comprehension, Writing skills, Introduction to literature, Cultural context and communication |
| LEN101 | English - I | Core | 3 | Reading skills and strategies, Vocabulary and grammar, Basic writing techniques, Introduction to communication, Listening skills |
| BMA101 | Calculus | Core | 4 | Differential calculus of single and multivariable functions, Integral calculus and applications, Sequences and series, Partial differentiation, Vector calculus basics |
| BMA102 | Algebra | Core | 4 | Matrices and determinants, Vector spaces and subspaces, Linear transformations, Eigenvalues and eigenvectors, Systems of linear equations |
| BAX101 | Allied I (Physics I / Chemistry I / Statistics I) | Allied | 4 | Foundational concepts in the chosen allied science, Basic principles and theories, Experimental techniques, Problem-solving approaches, Applications in relevant fields |
| BSS101 | Soft Skills - I | Core | 2 | Self-awareness and goal setting, Interpersonal communication, Time management, Presentation skills, Personal grooming and etiquette |
| BES101 | Environmental Science | Core | 3 | Ecosystems and biodiversity, Environmental pollution and control, Natural resources management, Climate change and global issues, Environmental ethics and legislation |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| LE2XX | Language Elective - II (Tamil/Hindi/French/Sanskrit) | Elective | 3 | Advanced grammar and literary appreciation, Creative writing and translation, Cultural nuances and communication strategies, Study of classical texts, Public speaking in the chosen language |
| LEN201 | English - II | Core | 3 | Critical reading and analysis, Advanced writing for academic purposes, Public speaking and debate, Report and technical writing, Research methodology basics |
| BMA201 | Differential Equations | Core | 4 | First order ordinary differential equations, Higher order linear differential equations, Laplace transforms and applications, Series solutions, Introduction to partial differential equations |
| BMA202 | Real Analysis | Core | 4 | Real number system and properties, Sequences and series of real numbers, Continuity and uniform continuity, Differentiation of real functions, Riemann integration |
| BAX201 | Allied II (Physics II / Chemistry II / Statistics II) | Allied | 4 | Advanced concepts and theories in the chosen allied science, Specialized experimental methods, Quantitative analysis and interpretation, Modern developments and applications, Interdisciplinary problem solving |
| BSS201 | Soft Skills - II | Core | 2 | Problem-solving and decision making, Teamwork and collaboration, Leadership and motivation, Conflict resolution, Emotional intelligence |
| BVE201 | Value Education | Core | 3 | Ethics and moral values, Human rights and responsibilities, Social harmony and patriotism, Professional ethics, Global citizenship |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMA301 | Complex Analysis | Core | 4 | Complex numbers and functions, Analytic functions and Cauchy-Riemann equations, Cauchy''''s integral theorem and formula, Taylor and Laurent series, Residue theorem and contour integration |
| BMA302 | Mechanics | Core | 4 | Statics of particles and rigid bodies, Dynamics of particles, Conservation laws (energy, momentum), Planetary motion and central forces, Lagrangian and Hamiltonian mechanics |
| BMA303 | Numerical Methods | Core | 4 | Solution of algebraic and transcendental equations, Interpolation and approximation, Numerical differentiation and integration, Numerical solution of ordinary differential equations, Curve fitting and regression analysis |
| BAX301 | Allied III (Data Science I / Operations Research I / Computer Science I) | Allied | 4 | Introduction to data science concepts/operations research models/computer programming, Data handling and visualization/Linear programming/Data structures, Basic analytical tools and techniques/Simplex method/Algorithms, Foundational theories/Transportation problems/Object-oriented programming, Practical applications in the chosen field |
| BMA3EX | Discipline Specific Elective - I (e.g., Graph Theory / Financial Mathematics / Number Theory) | Elective | 4 | Core concepts of the chosen advanced mathematical area, Theoretical frameworks and problem-solving techniques, Applications in various fields, Advanced theorems and proofs, Specialized analytical methods |
| BPE301 | Physical Education | Core | 3 | Physical fitness and exercise regimens, Basic sports rules and participation, Yoga and meditation for wellness, Health awareness and nutrition, Stress management techniques |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMA401 | Abstract Algebra | Core | 4 | Groups and subgroups, Normal subgroups and homomorphisms, Rings, integral domains, and fields, Ideals and quotient rings, Polynomial rings |
| BMA402 | Topology | Core | 4 | Topological spaces and open sets, Basis for a topology, Continuous functions, Compactness and connectedness, Metric spaces |
| BMA403 | Discrete Mathematics | Core | 4 | Mathematical logic and proofs, Set theory and relations, Functions and counting principles, Graph theory fundamentals, Recurrence relations and generating functions |
| BAX401 | Allied IV (Data Science II / Operations Research II / Computer Science II) | Allied | 4 | Advanced topics in data science/operations research/computer science, Machine learning algorithms/Non-linear programming/Database management, Statistical modeling/Inventory control models/Operating systems, Big data concepts/Queuing theory/Networking concepts, Advanced applications and case studies |
| BMA4EX | Discipline Specific Elective - II (e.g., Cryptography / Mathematical Modelling / Biomathematics) | Elective | 4 | Advanced concepts in the chosen specialized mathematical field, Application of mathematical tools to real-world problems, Theoretical foundations and computational aspects, Problem formulation and solution strategies, Case studies and project work |
| BSS401 | Soft Skills - III | Core | 3 | Interview skills and preparation, Resume and cover letter writing, Group discussion techniques, Corporate communication and etiquette, Personal branding and networking |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMA501 | Functional Analysis | Core | 4 | Normed linear spaces and Banach spaces, Inner product spaces and Hilbert spaces, Linear operators and functionals, Hahn-Banach theorem, Spectral theory basics |
| BMA502 | Linear Programming | Core | 4 | Formulation of linear programming problems, Graphical and simplex method, Duality theory, Transportation and assignment problems, Game theory basics |
| BMA503 | Tensor Analysis & Relativity | Core | 4 | Tensors and tensor algebra, Riemannian geometry fundamentals, Covariant differentiation, Special theory of relativity, Introduction to general relativity |
| BMA5EX | Discipline Specific Elective - III (e.g., Actuarial Science / Fourier Analysis / Stochastic Processes) | Elective | 4 | Specialized topics relevant to applied mathematics or theoretical fields, Advanced analytical tools and methodologies, Modeling and simulation techniques, In-depth study of selected mathematical theories, Industry-specific applications and case studies |
| BMA5LX | Skill Enhancement Course - I (e.g., LaTeX for Mathematicians / Python Programming for Mathematics) | Skill Enhancement | 2 | Introduction to scientific documentation software (LaTeX), Python programming for mathematical computations, Data visualization and symbolic computation, Problem solving with computational tools, Practical implementation of algorithms |
| BMA5P1 | Industrial Training / Project - I | Project | 3 | Project proposal and literature review, Methodology design and data collection, Analysis and interpretation of results, Technical report writing, Oral presentation and defense |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMA601 | Measure Theory & Integration | Core | 4 | Measure spaces and measurable sets, Lebesgue measure and outer measure, Measurable functions, Lebesgue integral, Convergence theorems and Lp spaces |
| BMA602 | Graph Theory & Applications | Core | 4 | Introduction to graphs, paths, cycles, Trees and spanning trees, Planar graphs and coloring, Graph algorithms, Network flows and connectivity |
| BMA6EX | Discipline Specific Elective - IV (e.g., Finite Element Methods / Fuzzy Logic and Applications / Wavelet Analysis) | Elective | 4 | Advanced concepts in applied mathematics or computational techniques, Theoretical underpinnings and practical implementations, Modeling complex systems, Numerical solutions and analysis, Current research trends in the field |
| BMA6EY | Discipline Specific Elective - V (e.g., Differential Geometry / Calculus of Variations / Financial Derivatives) | Elective | 4 | Further specialized areas of pure or applied mathematics, Advanced theoretical frameworks and problem-solving strategies, Connections to other mathematical disciplines, Deep dive into selected mathematical theories, Contemporary applications and implications |
| BMA6LX | Skill Enhancement Course - II (e.g., Mathematica for Scientific Computing / R Programming for Statistical Analysis) | Skill Enhancement | 2 | Advanced usage of mathematical software for problem-solving, Statistical analysis and visualization using R, Symbolic and numerical computation with Mathematica, Development of computational models, Data interpretation and report generation |
| BMA6P1 | Project - II | Project | 5 | In-depth research methodology, Project implementation and experimentation, Comprehensive thesis writing, Scientific presentation and defense, Independent problem-solving and critical thinking |
