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BACHELOR-OF-SCIENCE-BSC in Mathematics at Surendranath Evening College
Kolkata, West Bengal
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About the Specialization
What is Mathematics at Surendranath Evening College Kolkata?
This BSc Mathematics (Honours) program at Surendranath Evening College, affiliated with the University of Calcutta, focuses on developing a strong foundation in pure and applied mathematics. It covers core areas like algebra, analysis, differential equations, and numerical methods, preparing students for advanced studies or careers in analytical fields. The program emphasizes logical reasoning and problem-solving, skills highly valued across various Indian industries.
Who Should Apply?
This program is ideal for fresh 10+2 graduates with a keen interest in theoretical and applied mathematics, aspiring to pursue higher education in mathematics, statistics, computer science, or related quantitative fields. It also suits individuals aiming for analytical roles in finance, data science, research, or teaching within the Indian education sector. Candidates should possess strong logical aptitude and a desire for rigorous academic training.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including data analyst, financial risk analyst, actuarial scientist, research assistant, or lecturer. Entry-level salaries typically range from INR 3-6 LPA, with experienced professionals earning INR 8-15 LPA or more, especially in tech and finance. The strong analytical foundation also prepares students for competitive exams like UPSC, SSC, and banking services, common career aspirations in India.
Student Success Practices
Foundation Stage
Master Core Concepts with Problem Solving- (Semester 1-2)
Focus on deeply understanding fundamental concepts in Abstract Algebra and Differential Calculus. Regularly solve a wide variety of problems from textbooks and previous year question papers to solidify understanding and develop problem-solving speed.
Tools & Resources
NCERT Mathematics for conceptual clarity, S. Chand''''s B.Sc. Mathematics series for practice, IIT JAM preparation books for advanced problems, Khan Academy for supplementary learning
Career Connection
Strong foundational knowledge is crucial for higher studies and quantitative roles in finance or data analysis.
Develop Structured Study Habits & Peer Learning- (Semester 1-2)
Establish a consistent study routine, revise concepts daily, and form study groups with peers. Discussing complex topics with classmates clarifies doubts and exposes different problem-solving approaches.
Tools & Resources
College library resources, Online academic forums for discussions, Collaborative study tools like Google Docs for note sharing
Career Connection
Teamwork and communication skills, developed through peer learning, are vital for professional environments.
Engage with Basic Programming for Mathematical Applications- (Semester 1-2)
Start learning a basic programming language like Python or C (even if not explicitly taught in early semesters) and apply it to simple mathematical problems, such as finding roots or performing matrix operations.
Tools & Resources
Python or C++ online tutorials (e.g., W3Schools, GeeksforGeeks), Basic Integrated Development Environments (IDEs) like VS Code or Code::Blocks
Career Connection
Computational skills are increasingly essential for all STEM fields, opening doors to data science and quantitative finance roles.
Intermediate Stage
Apply Theoretical Knowledge through Projects and Internships- (Semester 3-5)
Seek opportunities for small research projects or internships (even unpaid) to apply theoretical knowledge of Real Analysis, Group Theory, and Numerical Methods to real-world problems. Look for opportunities in local startups or research centers.
Tools & Resources
LinkedIn for internship searches, College placement cell for opportunities, Professor networks for research projects
Career Connection
Practical experience enhances resumes, builds networks, and provides industry exposure crucial for placements.
Specialise and Participate in Academic Competitions- (Semester 3-5)
Deep dive into specific areas of interest within mathematics (e.g., pure math, applied math, statistics, or theoretical computer science) based on elective choices. Participate in national-level mathematical Olympiads or problem-solving competitions.
Tools & Resources
Olympiad study materials and previous competition papers, Platforms like CodeChef or HackerRank for algorithmic problem-solving
Career Connection
Demonstrates expertise and problem-solving prowess, serving as a significant differentiator in job applications or higher education admissions.
Build a Strong Professional Network- (Semester 3-5)
Attend workshops, seminars, and guest lectures to interact with faculty, industry professionals, and alumni. Utilize professional platforms like LinkedIn to connect with people in desired fields.
Tools & Resources
College departmental events and university-wide seminars, LinkedIn for professional networking
Career Connection
Networking can lead to mentorship, internship opportunities, and valuable job referrals.
Advanced Stage
Intensive Placement & Higher Education Preparation- (Semester 5-6)
Focus on rigorous preparation for placement interviews, including aptitude tests, technical rounds, and HR interviews. Simultaneously, prepare for postgraduate entrance exams like IIT JAM, GATE, or NPTEL certifications if pursuing higher studies.
Tools & Resources
Online aptitude platforms (e.g., IndiaBix), Specific exam preparation coaching centers, NPTEL courses for advanced topics, Mock interviews
Career Connection
Directly translates to securing good placements or admission to reputable master''''s programs.
Undertake a Capstone Project/Dissertation- (Semester 5-6)
Work on a substantial capstone project or a short dissertation under faculty guidance, applying accumulated knowledge to solve a complex problem or explore a research question.
Tools & Resources
Access to research papers and academic journals, Specialized software (e.g., MATLAB, R, Mathematica), University research labs and faculty mentorship
Career Connection
Showcases independent research capabilities, advanced problem-solving skills, and deep understanding, highly valued in research and development roles.
Refine Specialization and Professional Communication- (Semester 5-6)
Further refine skills in chosen DSE areas (e.g., probability, differential geometry) and practice communicating complex mathematical ideas effectively, both verbally and in writing, for technical reports and presentations.
Tools & Resources
Technical writing guides, Presentation software (e.g., PowerPoint, Google Slides), Participation in academic colloquia and seminars
Career Connection
Essential for effective collaboration, technical documentation, and leadership roles in any quantitatively driven profession.
Program Structure and Curriculum
Eligibility:
- Passed 10+2 examination with Mathematics as a compulsory subject and required aggregate marks as per University of Calcutta norms. Specific percentage requirements may vary for college admission.
Duration: 3 years (6 semesters)
Credits: 140 Credits
Assessment: Internal: 20%, External: 80%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-CC1 | Abstract Algebra | Core | 6 | Binary Operations, Groups and Subgroups, Cyclic Groups, Permutation Groups, Group Homomorphisms, Isomorphism Theorems |
| MATH-CC2 | Differential Calculus | Core | 6 | Real Numbers and Functions, Limits and Continuity, Differentiability, Mean Value Theorems, Maxima and Minima, Curve Tracing |
| AECC1 | Communicative English / MIL | Ability Enhancement Compulsory Course | 2 | Grammar and Usage, Reading Comprehension, Writing Skills, Speaking Skills, Listening Skills |
| GE1 | Generic Elective - 1 | Generic Elective | 6 | Subject from another discipline (e.g., Physics, Chemistry, Economics, Statistics, Computer Science), Fundamental concepts of chosen discipline, Introductory theories, Basic applications, Problem-solving techniques |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-CC3 | Real Analysis | Core | 6 | Real Number System, Sequences and Series of Real Numbers, Convergence, Continuity of Functions, Uniform Continuity, Differentiation |
| MATH-CC4 | Differential Equation | Core | 6 | First Order Ordinary Differential Equations, Higher Order Linear Differential Equations, Series Solutions of ODEs, Laplace Transforms, Systems of Linear Differential Equations |
| AECC2 | Environmental Studies | Ability Enhancement Compulsory Course | 2 | Multidisciplinary Nature of Environmental Studies, Ecosystems, Biodiversity and its Conservation, Environmental Pollution, Human Population and the Environment |
| GE2 | Generic Elective - 2 | Generic Elective | 6 | Subject from another discipline (e.g., Physics, Chemistry, Economics, Statistics, Computer Science), Fundamental concepts of chosen discipline, Introductory theories, Basic applications, Problem-solving techniques |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-CC5 | Theory of Real Functions | Core | 6 | Riemann Integrability, Improper Integrals, Sequence and Series of Functions, Uniform Convergence, Power Series |
| MATH-CC6 | Group Theory | Core | 6 | Normal Subgroups, Quotient Groups, Group Homomorphisms, Isomorphism Theorems, Cauchy''''s Theorem, Sylow''''s Theorems |
| MATH-CC7 | Partial Differential Equation | Core | 6 | Formation of PDEs, First Order Linear PDEs (Lagrange''''s Method), Non-linear First Order PDEs (Charpit''''s Method), Classification of Second Order PDEs, Heat Equation, Wave Equation |
| SEC1 | Skill Enhancement Course - 1 (e.g., Computer Algebra Systems and LaTeX / Logic and Sets) | Skill Enhancement Course | 2 | Introduction to CAS (e.g., Mathematica, Maple), Basic LaTeX Commands, Document Preparation with LaTeX, Propositions and Truth Tables, Set Theory Fundamentals |
| GE3 | Generic Elective - 3 | Generic Elective | 6 | Subject from another discipline (e.g., Physics, Chemistry, Economics, Statistics, Computer Science), Fundamental concepts of chosen discipline, Introductory theories, Basic applications, Problem-solving techniques |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-CC8 | Riemann Integration and Series of Functions | Core | 6 | Integrability of Functions, Fundamental Theorem of Calculus, Sequences and Series of Functions, Pointwise and Uniform Convergence, Weierstrass M-test, Power Series |
| MATH-CC9 | Ring Theory and Linear Algebra | Core | 6 | Rings, Subrings, and Ideals, Integral Domains and Fields, Vector Spaces, Linear Transformations, Eigenvalues and Eigenvectors, Diagonalization |
| MATH-CC10 | Numerical Methods and Programming | Core | 6 | Error Analysis, Root Finding Methods (Bisection, Newton-Raphson), Interpolation, Numerical Integration, Numerical Solution of ODEs, Programming with C/Python |
| SEC2 | Skill Enhancement Course - 2 (e.g., Graph Theory / Object Oriented Programming with C++) | Skill Enhancement Course | 2 | Basic Graph Theory Concepts, Trees and Connectivity, Object-Oriented Concepts, Classes and Objects, Inheritance and Polymorphism, File Handling in C++ |
| GE4 | Generic Elective - 4 | Generic Elective | 6 | Subject from another discipline (e.g., Physics, Chemistry, Economics, Statistics, Computer Science), Fundamental concepts of chosen discipline, Introductory theories, Basic applications, Problem-solving techniques |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-CC11 | Probability and Statistics | Core | 6 | Random Variables and Probability Distributions, Mathematical Expectation, Joint Distributions, Central Limit Theorem, Correlation and Regression, Hypothesis Testing |
| MATH-CC12 | Metric Space and Complex Analysis | Core | 6 | Metric Spaces, Open and Closed Sets, Completeness and Compactness, Complex Numbers and Functions, Analytic Functions, Cauchy-Riemann Equations, Contour Integration |
| DSE1 | Discipline Specific Elective - 1 (e.g., Point Set Topology / Boolean Algebra & Automata Theory / Bio-Mathematics) | Discipline Specific Elective | 6 | Topological Spaces, Continuity in Topology, Lattices and Boolean Algebra, Finite Automata, Mathematical Models in Biology, Population Dynamics |
| DSE2 | Discipline Specific Elective - 2 (e.g., Advanced Algebra / Linear Programming / Number Theory) | Discipline Specific Elective | 6 | Field Extensions, Galois Theory, Simplex Method, Duality in LPP, Divisibility Theory, Congruences |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-CC13 | PDE and System of ODE | Core | 6 | Linear and Quasi-linear PDEs, Method of Characteristics, Separation of Variables, Sturm-Liouville Theory, Autonomous Systems, Phase Plane Analysis |
| MATH-CC14 | Mechanics | Core | 6 | Statics and Dynamics of Particles, Work and Energy, Central Forces, Lagrangian Mechanics, Hamiltonian Mechanics, Motion of Rigid Bodies |
| DSE3 | Discipline Specific Elective - 3 (e.g., Analytical Geometry / Differential Geometry / Financial Mathematics) | Discipline Specific Elective | 6 | Conic Sections, 3D Geometry, Curves and Surfaces, Curvature and Torsion, Interest Rates and Annuities, Options and Futures |
| DSE4 | Discipline Specific Elective - 4 (e.g., Computer Graphics / Cryptography / Mathematical Modelling) | Discipline Specific Elective | 6 | Graphics Primitives, Transformations, Encryption Algorithms, Public Key Cryptography, Modelling with Differential Equations, Discrete Modelling |
