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B-SC-HONS-MATHEMATICS in Mathematics at Sri Guru Tegh Bahadur Khalsa College
Delhi, Delhi
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About the Specialization
What is Mathematics at Sri Guru Tegh Bahadur Khalsa College Delhi?
This B.Sc Hons. Mathematics program at Sri Guru Tegh Bahadur Khalsa College, affiliated with the University of Delhi, focuses on building a robust foundation in pure and applied mathematics. It emphasizes analytical thinking, problem-solving, and logical reasoning, crucial skills for various sectors in the Indian economy. The program differentiates itself by integrating core mathematical concepts with electives that cater to contemporary demands in data science, finance, and computation, meeting the growing demand for mathematically skilled professionals in India.
Who Should Apply?
This program is ideal for high school graduates with a strong aptitude and passion for mathematics, seeking entry into quantitative roles in research, analytics, finance, or education. It also suits individuals aiming for postgraduate studies in mathematics or related fields like statistics, computer science, or operations research. Students with a background in science and a keen interest in theoretical and applied problem-solving will find this curriculum particularly rewarding, preparing them for India''''s evolving tech and finance landscapes.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including data analyst, financial analyst, actuary, research associate, or educator. Entry-level salaries typically range from INR 3.5-6 LPA, with experienced professionals earning significantly more. The strong analytical foundation provides excellent growth trajectories in companies across IT, finance, and academia. The program''''s rigor also prepares students for competitive exams for civil services or further academic pursuits, aligning with professional certifications in data science or financial modeling.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Focus rigorously on understanding fundamental concepts in Calculus, Algebra, and Real Analysis. Attend all lectures, actively participate in tutorials, and solve a wide range of problems from textbooks and previous year question papers. Don''''t just memorize formulas, but grasp the underlying proofs and principles.
Tools & Resources
NCERT textbooks (for revision), Standard university textbooks (e.g., S. Chand, S.L. Loney), Online platforms like NPTEL (for conceptual clarity), Tutorial sheets and peer study groups
Career Connection
A strong foundation is crucial for advanced courses and forms the bedrock for roles in data science, quantitative finance, and research, where deep mathematical understanding is paramount for success in India.
Develop Effective Problem-Solving Skills- (Semester 1-2)
Dedicate consistent time to practice problem-solving beyond assignments. Work through challenging problems, identify common pitfalls, and explore alternative solution methods. Engage in mathematical puzzle-solving or logic challenges to sharpen analytical abilities.
Tools & Resources
Reference books with solved examples, Online math forums (e.g., Stack Exchange Mathematics), Competitive programming platforms (if interested in computational math), Brain teaser apps
Career Connection
Employers in India highly value analytical and problem-solving skills. Excelling here prepares you for logical reasoning tests in placements and for tackling complex real-world issues in any industry, from IT to consulting.
Cultivate Interdisciplinary Exposure- (Semester 1-2)
Actively choose Value Added Courses (VACs) and Skill Enhancement Courses (SECs) that complement mathematics, such as those related to environmental science, communication, or basic data analytics. This broadens your perspective and introduces you to diverse applications of mathematical thinking.
Tools & Resources
DU''''s list of VAC/SEC courses, College events and workshops on interdisciplinary topics, Introductory courses on platforms like Coursera/edX for related fields
Career Connection
In the Indian job market, interdisciplinary skills are increasingly sought after. Understanding how mathematics integrates with other fields makes you a more versatile and attractive candidate for various roles, enhancing employability.
Intermediate Stage
Apply Concepts through Practical Projects- (Semester 3-5)
Seek opportunities to apply theoretical knowledge from courses like Differential Equations, Numerical Methods, and Probability & Statistics to small projects. Use software tools like Python, R, or MATLAB for simulations, data analysis, or solving complex equations.
Tools & Resources
Jupyter Notebooks, Google Colab, Python/R programming languages, open-source datasets (e.g., Kaggle), College''''s computer labs, project guidance from faculty
Career Connection
Practical application builds a portfolio of work, demonstrates problem-solving ability using industry-relevant tools, and is a significant advantage during internship and placement interviews in analytics, actuarial science, or scientific computing roles in India.
Engage in Mathematical Competitions and Societies- (Semester 3-5)
Participate in inter-college mathematics quizzes, olympiads, or problem-solving challenges. Join the college''''s Mathematics society (e.g., the ''''Ramanujan Society'''' or similar) and actively contribute to its activities, organizing events, or giving presentations.
Tools & Resources
Indian National Mathematics Olympiad (INMO), Regional math competitions, College''''s departmental societies and peer network
Career Connection
Participation showcases initiative, competitive spirit, and deep subject knowledge, which are highly valued by recruiters. It enhances your resume, builds a professional network, and provides platforms to test your skills against peers.
Explore Generic Electives Strategically- (Semester 3-5)
Carefully select Generic Elective (GE) courses from other departments like Computer Science, Economics, or Physics. Choose subjects that either complement your mathematical interests (e.g., programming, econometrics) or broaden your career options for an interdisciplinary edge.
Tools & Resources
DU''''s GE course catalog, Career counseling sessions, Alumni interactions to understand industry relevance of different electives
Career Connection
Strategic GE choices allow for minor specializations, making you appealing for roles at the intersection of mathematics and other fields (e.g., quant finance roles require economics/finance background, data science requires CS) in the Indian job market.
Advanced Stage
Undertake an Industry-Relevant Research Project/Internship- (Semester 7-8)
Opt for the Research Project or Internship component in the final year. Secure an internship in a relevant industry (e.g., finance, analytics, IT) or undertake a research project with faculty guidance, focusing on a challenging, applied mathematical problem.
Tools & Resources
College placement cell, faculty network, LinkedIn, Industry contacts, research papers, specialized software for advanced modeling/analysis
Career Connection
This is your primary gateway to direct industry exposure and often leads to pre-placement offers in India. It showcases advanced skill application, research capabilities, and readiness for a professional career or for advanced studies.
Specialize through Discipline Specific Electives (DSEs)- (Semester 5-8)
Thoughtfully choose your DSEs based on your career aspirations. If aiming for finance, select Financial Mathematics; for computing, choose subjects like Cryptography or Computer Algebra Systems. Master these specialized areas to build depth of knowledge.
Tools & Resources
Advanced textbooks, specialized online courses (e.g., NPTEL advanced modules), Industry white papers, faculty specialization areas
Career Connection
Specialization enhances your expertise in a particular domain, making you a strong candidate for specific roles like actuarial analyst, quantitative researcher, or cryptographer within the competitive Indian market.
Prepare for Higher Education/Competitive Exams- (Semester 6-8)
If pursuing higher studies (M.Sc., Ph.D.) or competitive exams (UPSC Civil Services, RBI Grade B, NET/JRF), dedicate focused time for preparation. This includes revising the entire syllabus, solving mock tests, and potentially joining coaching classes.
Tools & Resources
Previous year''''s question papers for target exams, Coaching institutes, online test series, Reference books specific to competitive exams, mentorship from seniors/alumni
Career Connection
This practice directly facilitates entry into specialized academic roles, research positions, or prestigious government services, opening up significant long-term career growth opportunities in India.
Program Structure and Curriculum
Eligibility:
- Admission through CUET (Common University Entrance Test) with specific subject combination as per University of Delhi guidelines. Minimum 10+2 qualification with Mathematics from a recognized board.
Duration: 4 years (8 semesters)
Credits: 176 Credits
Assessment: Internal: 25%, External: 75%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSC-101 | Calculus | Core | 6 | Functions, Limits, Continuity, Differentiability, Applications of Derivatives, Maxima and Minima, Integrals, Fundamental Theorem of Calculus, Techniques of Integration, Area, Volume, Sequences and Series, Convergence Tests |
| BSM-M-DSC-102 | Algebra | Core | 6 | Complex Numbers, De Moivre''''s Theorem, Polynomials, Roots of Polynomials, Matrices, Types of Matrices, Determinants, Rank of a Matrix, Systems of Linear Equations, Vector Spaces, Subspaces, Basis and Dimension |
| BSM-AECC-1 | Environmental Science | Ability Enhancement Compulsory Course | 4 | Introduction to Environmental Studies, Ecosystems, Biodiversity and Conservation, Natural Resources, Environmental Pollution, Global Environmental Issues, Environmental Ethics, Environmental Policies and Practices, Field Work |
| BSM-VAC-1 | Value Added Course (Choice Based, e.g., Constitutional Values & Fundamental Duties) | Value Added Course | 2 | Varies based on chosen course. For Constitutional Values:, Constitution of India, Preamble, Fundamental Rights, Fundamental Duties, Directive Principles of State Policy, Indian Federalism, Local Self Governance, Constitutional Amendments, Judicial Review |
| BSM-SEC-1 | Skill Enhancement Course (Choice Based, e.g., Data Analytics using Spreadsheets) | Skill Enhancement Course | 2 | Varies based on chosen course. For Data Analytics using Spreadsheets:, Data Organization, Filtering, Sorting, Basic Statistical Functions (Average, Median, Mode), Data Visualization (Charts, Graphs), Pivot Tables, Conditional Formatting, What-if Analysis, Goal Seek |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSC-201 | Real Analysis | Core | 6 | Real Number System, Axioms, Completeness, Sequences of Real Numbers, Convergence, Series of Real Numbers, Tests for Convergence, Limits and Continuity of Functions, Uniform Continuity, Differentiability of Functions |
| BSM-M-DSC-202 | Differential Equations | Core | 6 | First Order Differential Equations (Exact, Linear, Homogeneous), Second Order Linear Differential Equations, Method of Variation of Parameters, Cauchy-Euler Equations, Series Solutions, Laplace Transforms, Applications to ODEs |
| BSM-AECC-2 | English Communication | Ability Enhancement Compulsory Course | 4 | Theory of Communication, Types of Communication, Verbal and Non-verbal Communication, Barriers, Listening Skills, Reading Comprehension, Writing Skills (Reports, Emails, Resumes), Presentation Skills, Group Discussions |
| BSM-VAC-2 | Value Added Course (Choice Based, e.g., Digital Empowerment) | Value Added Course | 2 | Varies based on chosen course. For Digital Empowerment:, Basics of Digital Literacy, Internet Usage, Cyber Security, Data Privacy, Online Transactions, Digital Tools for Communication and Collaboration, E-governance Services, Digital Rights and Responsibilities |
| BSM-SEC-2 | Skill Enhancement Course (Choice Based, e.g., Communication in Everyday Life) | Skill Enhancement Course | 2 | Varies based on chosen course. For Communication in Everyday Life:, Elements of Effective Communication, Active Listening, Interpersonal Communication, Conflict Resolution, Public Speaking, Presentation Skills, Written Communication (letters, emails, reports), Negotiation and Persuasion Techniques |
| BSM-GE-1 | Generic Elective (Choice from other disciplines, e.g., Economics, Computer Science, Physics) | Generic Elective | 6 | Varies based on chosen course and discipline., Examples include topics from Microeconomics, Programming Fundamentals, Electricity and Magnetism., Students choose based on their interest and minor specialization. |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSC-301 | Theory of Real Functions | Core | 6 | Riemann Integration, Properties of Integrable Functions, Improper Integrals, Beta and Gamma Functions, Pointwise and Uniform Convergence of Sequence of Functions, Power Series, Radius of Convergence, Taylor and Maclaurin Series |
| BSM-M-DSC-302 | Group Theory | Core | 6 | Binary Operations, Groups, Subgroups, Cyclic Groups, Permutation Groups, Cosets, Lagrange''''s Theorem, Homomorphisms, Isomorphisms, Normal Subgroups, Factor Groups |
| BSM-M-DSC-303 | PDE and System of ODE | Core | 6 | First Order Partial Differential Equations (Lagrange''''s Method), Non-linear PDEs of First Order (Charpit''''s Method), Second Order PDEs, Canonical Forms, Method of Separation of Variables, Linear Systems of Ordinary Differential Equations, Matrix Method |
| BSM-VAC-3 | Value Added Course (Choice Based, e.g., Ethics & Culture) | Value Added Course | 2 | Varies based on chosen course. For Ethics & Culture:, Introduction to Ethics, Moral Theories, Cultural Diversity and Pluralism, Role of Values in Society, Professional Ethics, Ethics in Digital Age, Indian Value System |
| BSM-GE-2 | Generic Elective (Choice from other disciplines) | Generic Elective | 6 | Varies based on chosen course and discipline. |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSC-401 | Metric Spaces and Complex Analysis | Core | 6 | Metric Spaces, Open and Closed Sets, Convergence of Sequences in Metric Spaces, Completeness, Complex Numbers, Functions of a Complex Variable, Analytic Functions, Cauchy-Riemann Equations, Contour Integration, Cauchy''''s Integral Theorem |
| BSM-M-DSC-402 | Ring Theory and Linear Algebra | Core | 6 | Rings, Subrings, Ideals, Integral Domains, Fields, Ring Homomorphisms, Factor Rings, Vector Spaces, Linear Transformations, Eigenvalues, Eigenvectors, Diagonalization, Inner Product Spaces, Orthogonal Bases |
| BSM-M-DSC-403 | Numerical Methods | Core | 6 | Errors Analysis, Floating Point Arithmetic, Solution of Algebraic and Transcendental Equations (Bisection, Newton-Raphson), Interpolation (Lagrange, Newton), Numerical Integration (Trapezoidal, Simpson''''s Rules), Numerical Solution of Ordinary Differential Equations (Euler, Runge-Kutta) |
| BSM-VAC-4 | Value Added Course (Choice Based, e.g., Critical Thinking & Decision Making) | Value Added Course | 2 | Varies based on chosen course. For Critical Thinking & Decision Making:, Introduction to Critical Thinking, Logical Reasoning, Problem-solving Techniques, Decision-making Models, Cognitive Biases, Fallacies in Reasoning, Creative Thinking, Argument Analysis |
| BSM-GE-3 | Generic Elective (Choice from other disciplines) | Generic Elective | 6 | Varies based on chosen course and discipline. |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSC-501 | Mechanics | Core | 6 | Statics of a Particle and Rigid Body, Virtual Work, Equilibrium of Forces, Common Catenary, Dynamics of a Particle, Rectilinear Motion, Simple Harmonic Motion, Projectiles, Central Forces, Orbits under Central Force |
| BSM-M-DSC-502 | Probability and Statistics | Core | 6 | Basic Probability, Conditional Probability, Bayes'''' Theorem, Random Variables, Probability Distributions (Binomial, Poisson, Normal), Expectation, Variance, Moments, Moment Generating Functions, Sampling Distributions, Central Limit Theorem, Hypothesis Testing, Confidence Intervals, Regression |
| BSM-M-DSE-501 | Discipline Specific Elective (Choice Based, e.g., Number Theory, Bio-Mathematics, Industrial Mathematics) | Elective (Discipline Specific) | 6 | Varies based on chosen course. For Number Theory:, Divisibility, Euclidean Algorithm, Congruences, Prime Numbers, Fundamental Theorem of Arithmetic, Diophantine Equations, Quadratic Reciprocity, Number Theoretic Functions, Euler''''s Phi-Function |
| BSM-GE-4 | Generic Elective (Choice from other disciplines) | Generic Elective | 6 | Varies based on chosen course and discipline. |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSC-601 | Mathematical Modelling | Core | 6 | Process of Mathematical Modelling, Classification of Models, Modelling through First Order Differential Equations (Population, Epidemics), Modelling through Systems of ODEs, Applications in Biology, Modelling through Difference Equations, Finance, Modelling through Graphs, Applications in Networks |
| BSM-M-DSC-602 | Topology | Core | 6 | Topological Spaces, Open and Closed Sets, Bases, Subbases, Continuous Functions, Homeomorphism, Connected Spaces, Compact Spaces, Hausdorff Spaces, Separation Axioms |
| BSM-M-DSE-602 | Discipline Specific Elective (Choice Based, e.g., Linear Programming and Game Theory, Financial Mathematics) | Elective (Discipline Specific) | 6 | Varies based on chosen course. For Linear Programming and Game Theory:, Formulation of LPP, Graphical Method, Simplex Method, Duality in LPP, Transportation Problem, Assignment Problem, Game Theory, Two-Person Zero-Sum Games, Maximin-Minimax Principle, Mixed Strategies, Dominance Property, Graphical Method for Games |
Semester 7
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSE-703 | Discipline Specific Elective (Choice Based, e.g., Computer Algebra Systems and their Applications, Graph Theory) | Elective (Discipline Specific) | 6 | Varies based on chosen course. For Graph Theory:, Graphs, Subgraphs, Walks, Paths, Cycles, Connectivity, Trees, Spanning Trees, Eulerian and Hamiltonian Graphs, Planar Graphs, Graph Coloring, Matchings, Directed Graphs |
| BSM-OEC-701 | Open Elective Course 1 (Choice from any discipline offered by the University) | Elective (Open) | 6 | Varies based on chosen course and discipline. |
| BSM-RP-701 | Research Project / Dissertation | Project | 6 | Research Methodology, Literature Review, Problem Formulation, Data Collection and Analysis, Mathematical Modeling and Simulation, Report Writing, Presentation Skills, Ethical Considerations in Research |
Semester 8
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSM-M-DSE-804 | Discipline Specific Elective (Choice Based, e.g., Cryptography and Network Security, Lattice Theory) | Elective (Discipline Specific) | 6 | Varies based on chosen course. For Cryptography and Network Security:, Classical Ciphers (Caesar, Vigenere), Symmetric Key Cryptography (DES, AES), Public Key Cryptography (RSA, ElGamal), Digital Signatures, Hash Functions, Key Management, Network Security Protocols |
| BSM-OEC-802 | Open Elective Course 2 (Choice from any discipline offered by the University) | Elective (Open) | 6 | Varies based on chosen course and discipline. |
| BSM-INT-801 | Internship | Internship | 6 | Industry Exposure and Practical Application of Mathematical Skills, Workplace Professionalism and Communication, Project Management, Data Analysis, Reporting, Problem-Solving in an Organizational Context, Career Exploration and Networking |
