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B-SC-HONS-MATHEMATICS in Mathematics at Sri Guru Nanak Dev Khalsa College
Delhi, Delhi
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About the Specialization
What is Mathematics at Sri Guru Nanak Dev Khalsa College Delhi?
This B.Sc. (Hons.) Mathematics program at Sri Guru Nanak Dev Khalsa College, affiliated with Delhi University, offers a robust foundation in pure and applied mathematics. It emphasizes analytical thinking, problem-solving, and logical reasoning, crucial skills for India''''s growing tech, finance, and data science sectors. The curriculum, designed under UGCF 2022, delves into core areas like calculus, algebra, real analysis, and differential equations, preparing students for diverse professional challenges and advanced studies.
Who Should Apply?
This program is ideal for students with a strong aptitude for mathematics, seeking a rigorous academic foundation. It suits fresh graduates aspiring for roles in data analytics, actuarial science, operations research, or higher studies in India or abroad. It also benefits those aiming for careers in quantitative finance, research, or teaching, requiring a solid grasp of mathematical principles and their practical applications.
Why Choose This Course?
Graduates of this program can secure roles as data analysts, statisticians, risk analysts, educators, or researchers, with entry-level salaries in India typically ranging from INR 3-6 LPA, growing significantly with experience. The program equips them with critical thinking skills highly valued across industries, fostering growth trajectories in IT, finance, research, and academia within the dynamic Indian market, including opportunities for professional certifications.
Student Success Practices
Foundation Stage
Master Core Concepts with Regular Practice- (Semester 1-2)
Focus on building a strong foundation in Calculus, Algebra, and Real Analysis by consistently solving problems from textbooks and reference materials. Actively participate in tutorials and doubt-clearing sessions to solidify understanding.
Tools & Resources
NCERT Mathematics, R.D. Sharma (Advanced), Schaum''''s Outlines, Khan Academy, NPTEL videos
Career Connection
A solid mathematical base is essential for higher-level studies and quantitative roles in finance, data science, and research.
Develop Problem-Solving Skills through Peer Learning- (Semester 1-2)
Form study groups with peers to discuss challenging problems, explain concepts to each other, and prepare for internal assessments. Collaborative learning reinforces understanding and helps identify individual knowledge gaps effectively.
Tools & Resources
College library resources, Online collaborative platforms for group discussions, Past year papers from DU
Career Connection
Collaborative problem-solving is a key skill highly valued in both academic research and corporate team environments.
Engage with Ability and Value Addition Courses Seriously- (Semester 1-2)
Treat AEC and VAC courses (like Environmental Science, Constitutional Values) as opportunities to broaden perspectives and develop essential soft skills. These contribute to a holistic profile and general awareness crucial for well-rounded development.
Tools & Resources
Course textbooks, Current affairs newspapers, Online educational documentaries, UGCF guidelines
Career Connection
Enhances communication, ethical reasoning, and critical thinking, which are highly valued in any professional setting across India.
Intermediate Stage
Explore Specializations and Skill Enhancement- (Semester 3-5)
Actively choose Skill Enhancement Courses (SEC) and Generic Electives (GE) that align with emerging interests such as Data Science, Programming, or Financial Literacy. This strategic selection helps in identifying and honing potential career paths early on.
Tools & Resources
Python/R programming tutorials (Coursera, Udemy), NPTEL courses on specific mathematical applications, Workshops organized by the college or DU
Career Connection
Early specialization helps in building a relevant skill set for internships and entry-level positions in analytics, finance, or IT sectors.
Seek Internships and Practical Exposure- (Semester 4-5)
Actively look for summer internships in areas like data analysis, actuarial science, or financial modeling at startups, NGOs, or established firms. Even short-term projects can provide invaluable industry experience and application of theoretical knowledge.
Tools & Resources
College placement cell, LinkedIn, Internshala, Company career pages of Indian firms
Career Connection
Practical experience significantly boosts resume strength, provides insights into industry application of concepts, and improves placement prospects.
Participate in Quizzes, Olympiads, and Competitions- (Semester 3-5)
Test your mathematical acumen by participating in university-level or national mathematics competitions, quizzes, and hackathons (especially those involving quantitative analysis). This fosters a competitive spirit and problem-solving agility.
Tools & Resources
Problem-solving platforms (Project Euler, HackerRank for logic), University-wide competition announcements, Mathematics societies
Career Connection
Showcases problem-solving abilities, analytical rigor, and competitive drive, highly attractive to recruiters for analytical and research roles.
Advanced Stage
Strategic Discipline Specific Elective (DSE) Choices- (Semester 6-8)
Carefully select DSE courses (e.g., Financial Mathematics, Machine Learning, Cryptography) that directly align with your career aspirations for higher studies or specific industry roles. Deep dive into these advanced topics to build expertise.
Tools & Resources
Advanced textbooks and research papers, Specialized online courses (e.g., edX, Coursera), Faculty guidance and departmental seminars
Career Connection
Specialization through DSEs creates a strong, targeted profile for niche roles, advanced degrees, or specific Masters/PhD programs.
Intensive Placement and Higher Studies Preparation- (Semester 6-8)
Begin rigorous preparation for competitive exams (CAT, GRE, UPSC, NET/JRF) or company placements. Focus on quantitative aptitude, logical reasoning, and technical interview skills. Practice mock interviews and aptitude tests diligently.
Tools & Resources
Coaching centers (offline/online), Online test series and mock interview platforms, College alumni network for mentorship and guidance
Career Connection
Directly impacts securing placements in leading companies or admission to prestigious postgraduate programs in India and abroad.
Undertake Research Projects or Dissertation- (Semester 7-8)
Engage in a final year project or dissertation under faculty mentorship, exploring a mathematical topic of interest deeply. This showcases research capabilities, independent learning, and the ability to contribute original work.
Tools & Resources
University research labs (if applicable), Academic journals (e.g., JSTOR, arXiv), Online research databases, Dedicated faculty mentors
Career Connection
Demonstrates advanced analytical skills, research aptitude, and the ability to apply mathematical knowledge to real-world problems, crucial for R&D roles or academic careers.
Program Structure and Curriculum
Eligibility:
- 10+2 with Mathematics as one of the subjects and a minimum aggregate percentage as prescribed by the University of Delhi.
Duration: 4 years (8 semesters)
Credits: 160 Credits
Assessment: Internal: 25%, External: 75%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HC-101 | Calculus | Core | 4 | Limits and Continuity, Differentiation and its Applications, Integrals and Fundamental Theorem, Sequences and Series Convergence, Functions of Several Variables, Partial Differentiation |
| MAT-HC-102 | Algebra | Core | 4 | Integers and Modular Arithmetic, Groups and Subgroups, Permutation Groups, Rings and Fields, Polynomials, Matrices and Determinants |
| MAT-HC-103 | Differential Equations | Core | 4 | First Order Differential Equations, Second Order Linear Equations, Homogeneous and Non-Homogeneous Equations, Series Solutions of Differential Equations, Laplace Transforms, Systems of Differential Equations |
| UGCF-AEC-ENV (Example) | Environmental Science (Ability Enhancement Compulsory Course) | Ability Enhancement Course | 2 | Ecosystems and Biodiversity, Natural Resources, Environmental Pollution, Climate Change, Environmental Ethics, Human Population and Environment |
| UGCF-VAC-CVFD (Example) | Constitutional Values and Fundamental Duties (Value Addition Course) | Value Addition Course | 2 | Indian Constitution Features, Fundamental Rights, Directive Principles of State Policy, Fundamental Duties, Preamble and Basic Structure |
| UGCF-SEC-CEL (Example) | Communication in Everyday Life (Skill Enhancement Course) | Skill Enhancement Course | 2 | Verbal and Non-Verbal Communication, Listening Skills, Presentation Techniques, Interpersonal Communication, Digital Communication Ethics |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HC-201 | Real Analysis | Core | 4 | Real Number System, Sequences and Series of Real Numbers, Continuity and Differentiability of Functions, Mean Value Theorems, Riemann Integration, Improper Integrals |
| MAT-HC-202 | Group Theory | Core | 4 | Groups and Subgroups, Cyclic Groups, Cosets and Lagrange''''s Theorem, Normal Subgroups and Factor Groups, Group Homomorphisms, Cayley''''s Theorem |
| MAT-HC-203 | Theory of Real Functions | Core | 4 | Limits and Continuity, Uniform Continuity, Derivatives and Properties, Functions of Bounded Variation, Riemann-Stieltjes Integral |
| UGCF-AEC-EC (Example) | English Communication (Ability Enhancement Compulsory Course) | Ability Enhancement Course | 2 | Grammar and Vocabulary, Reading Comprehension, Writing Skills (Paragraph, Essay), Listening and Speaking Skills, Presentation Techniques |
| UGCF-VAC-ETV (Example) | Ethics and Values (Value Addition Course) | Value Addition Course | 2 | Ethical Theories, Moral Decision Making, Values in Professional Life, Social Responsibility, Diversity and Inclusion |
| UGCF-SEC-CS (Example) | Computer Applications and Skills (Skill Enhancement Course) | Skill Enhancement Course | 2 | Operating System Basics, Word Processing and Spreadsheets, Presentation Software, Internet and Web Browsers, Cyber Security Awareness |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HC-301 | Multivariate Calculus | Core | 4 | Functions of Several Variables, Partial Derivatives and Gradients, Directional Derivatives, Multiple Integrals (Double and Triple), Vector Fields, Green''''s, Stokes'''' and Gauss''''s Theorems |
| MAT-HC-302 | Ring Theory and Linear Algebra | Core | 4 | Rings, Subrings, and Ideals, Quotient Rings, Integral Domains and Fields, Vector Spaces and Subspaces, Linear Transformations, Eigenvalues and Eigenvectors |
| MAT-HC-303 | Introduction to Probability Theory | Core | 4 | Basic Probability Concepts, Conditional Probability and Bayes'''' Theorem, Random Variables (Discrete and Continuous), Probability Distributions, Expectation and Variance, Central Limit Theorem |
| UGCF-GE-1 (Example) | Generic Elective - I (Choice from other disciplines, e.g., Economics, Computer Science) | Generic Elective | 4 | Topics based on chosen discipline |
| UGCF-SEC-LM (Example) | LaTeX and MATLAB (Skill Enhancement Course) | Skill Enhancement Course | 2 | LaTeX Document Preparation, Mathematical Typesetting, MATLAB Basics, Matrix Operations in MATLAB, Plotting and Visualization |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HC-401 | Metric Spaces | Core | 4 | Metric Spaces and Examples, Open and Closed Sets, Convergence of Sequences, Continuity of Functions, Completeness and Compactness, Connectedness |
| MAT-HC-402 | Linear Algebra | Core | 4 | Vector Spaces, Basis and Dimension, Linear Transformations, Null Space and Range, Eigenvalues and Eigenvectors, Diagonalization |
| MAT-HC-403 | Introduction to Complex Analysis | Core | 4 | Complex Numbers and Functions, Analytic Functions, Cauchy-Riemann Equations, Complex Integration, Cauchy''''s Integral Formula, Taylor and Laurent Series |
| UGCF-GE-2 (Example) | Generic Elective - II (Choice from other disciplines) | Generic Elective | 4 | Topics based on chosen discipline |
| UGCF-SEC-NMP (Example) | Numerical Methods using Python (Skill Enhancement Course) | Skill Enhancement Course | 2 | Introduction to Python, Solutions of Equations, Interpolation, Numerical Differentiation and Integration, Solving ODEs Numerically |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HC-501 | Topology | Core | 4 | Topological Spaces, Open and Closed Sets, Continuity, Compactness, Connectedness, Separation Axioms |
| MAT-HC-502 | Functional Analysis | Core | 4 | Normed Linear Spaces, Banach Spaces, Linear Operators, Bounded Linear Functionals, Hilbert Spaces, Orthonormal Bases |
| MAT-HE-503 (Example) | Discipline Specific Elective - I (e.g., Number Theory) | Elective | 4 | Divisibility and Congruences, Prime Numbers, Diophantine Equations, Quadratic Reciprocity, Arithmetic Functions |
| UGCF-GE-3 (Example) | Generic Elective - III (Choice from other disciplines) | Generic Elective | 4 | Topics based on chosen discipline |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HC-601 | Abstract Algebra | Core | 4 | Group Actions, Sylow Theorems, Field Extensions, Galois Theory (Introduction), Solvability by Radicals |
| MAT-HC-602 | Partial Differential Equations | Core | 4 | Formation of PDEs, First Order Linear PDEs, Quasi-Linear Equations, Classification of Second Order PDEs, Wave Equation, Heat Equation, Laplace Equation |
| MAT-HE-603 (Example) | Discipline Specific Elective - II (e.g., Cryptography and Network Security) | Elective | 4 | Classical Cryptography, Symmetric Key Cryptography, Public Key Cryptography, Digital Signatures, Network Security Protocols |
| UGCF-GE-4 (Example) | Generic Elective - IV (Choice from other disciplines) | Generic Elective | 4 | Topics based on chosen discipline |
Semester 7
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HE-701 (Example) | Discipline Specific Elective - III (e.g., Fuzzy Mathematics) | Elective | 4 | Fuzzy Sets and Operations, Fuzzy Relations, Fuzzy Logic, Fuzzy Numbers, Applications of Fuzzy Mathematics |
| MAT-HE-702 (Example) | Discipline Specific Elective - IV (e.g., Stochastic Processes) | Elective | 4 | Random Walks, Markov Chains, Poisson Processes, Birth and Death Processes, Renewal Theory |
| UGCF-OE-1 (Example) | Open Elective - I (Choice from any discipline) | Open Elective | 4 | Topics based on chosen discipline |
| UGCF-OE-2 (Example) | Open Elective - II (Choice from any discipline) | Open Elective | 4 | Topics based on chosen discipline |
Semester 8
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-HE-801 (Example) | Discipline Specific Elective - V (e.g., Wavelets) | Elective | 4 | Fourier Analysis Review, Wavelet Transform (Continuous and Discrete), Multiresolution Analysis, Wavelet Bases, Applications in Signal Processing |
| MAT-HE-802 (Example) | Discipline Specific Elective - VI (e.g., Mathematical Finance) | Elective | 4 | Financial Markets and Instruments, Interest Rate Theory, Option Pricing (Black-Scholes Model), Stochastic Calculus (Introduction), Risk Management |
| UGCF-OE-3 (Example) | Open Elective - III (Choice from any discipline) | Open Elective | 4 | Topics based on chosen discipline |
| UGCF-OE-4 (Example) | Open Elective - IV (Choice from any discipline) | Open Elective | 4 | Topics based on chosen discipline |
