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B-SC-HONS-MATHEMATICS in Mathematics at Shaheed Bhagat Singh College
Delhi, Delhi
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About the Specialization
What is Mathematics at Shaheed Bhagat Singh College Delhi?
This B.Sc. (Hons) Mathematics program at Shaheed Bhagat Singh College focuses on providing a deep and comprehensive understanding of mathematical principles and their applications. It emphasizes logical reasoning, problem-solving, and analytical skills, crucial for various sectors. The curriculum is designed to meet the evolving demands of research, education, and technology industries in India, fostering a strong theoretical foundation with practical relevance.
Who Should Apply?
This program is ideal for fresh graduates from science backgrounds with a keen interest in theoretical and applied mathematics. It suits individuals aspiring to pursue higher studies in mathematics or related fields, enter data science, finance, or research roles, or become educators. Candidates with strong analytical abilities and a curiosity for abstract concepts will thrive in this challenging yet rewarding academic environment.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including data analyst, actuary, financial analyst, cryptographer, or research associate. Entry-level salaries typically range from INR 3-6 LPA, growing significantly with experience. Opportunities abound in IT, finance, education, and government sectors. The program provides a solid base for competitive exams and further professional certifications in quantitative fields.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Focus intensely on building strong fundamentals in Calculus, Algebra, and Real Analysis. Utilize textbooks prescribed by the University of Delhi, practice problems rigorously from R.S. Aggarwal and other standard Indian authors, and attend all tutorial classes. Form study groups with peers to discuss challenging concepts and solve problems collaboratively.
Tools & Resources
DU prescribed textbooks, NPTEL lectures on basic math, Khan Academy, GeeksforGeeks (math sections)
Career Connection
A solid foundation in these core areas is indispensable for advanced mathematics and forms the bedrock for careers in data science, quantitative finance, and research, ensuring you can tackle complex problems efficiently.
Develop Computational Thinking and Programming Skills- (Semester 1-2)
Actively engage with the ''''Computational Skills'''' SEC course. Learn the basics of Python or R for mathematical computing and data handling. Participate in coding challenges on platforms like HackerRank or CodeChef to apply mathematical logic in programming. This skill is critical for modern scientific and data-driven careers.
Tools & Resources
Python/R programming environments, HackerRank, CodeChef, Coursera introductory programming courses
Career Connection
Proficiency in computational tools is highly valued in fields like data analytics, algorithmic trading, and scientific research, making graduates more versatile and employable in India''''s tech-driven job market.
Engage in Value-Added Courses and Clubs- (Semester 1-2)
Beyond academics, participate actively in Value Addition Courses like ''''Constitutional Values'''' and college societies. Join the Mathematics Department''''s student clubs to organize events, participate in quizzes, and engage in peer-to-peer learning. This enhances soft skills, critical thinking, and a holistic college experience.
Tools & Resources
College cultural/technical societies, Debate clubs, Public speaking workshops
Career Connection
Developing strong communication, teamwork, and ethical reasoning skills through these activities prepares you for professional environments, project management roles, and leadership positions in Indian organizations.
Intermediate Stage
Explore Advanced Topics and Specializations- (Semester 3-5)
As you progress, delve deeper into subjects like Group Theory, Ring Theory, and Real Analysis. Supplement classroom learning with advanced books and online courses from platforms like edX or Coursera. Consider auditing courses in areas like actuarial science or mathematical finance if offered, to identify potential specialization paths.
Tools & Resources
NPTEL advanced math modules, edX/Coursera specialized courses, Standard reference books for abstract algebra and analysis
Career Connection
Specializing in niche mathematical areas can open doors to specific industries like cryptography, quantitative finance, or academic research, providing a competitive edge in the Indian job market for specialized roles.
Gain Practical Experience with Statistical Software and Modelling- (Semester 3-5)
Master statistical software like R or Python for data analysis, as introduced in SEC courses. Work on small mathematical modeling projects, perhaps mentored by faculty, to apply theoretical knowledge to real-world problems. Look for workshops or hackathons focusing on data analysis and simulation.
Tools & Resources
RStudio, Anaconda (for Python), Kaggle datasets, Mathematical modelling software (e.g., MATLAB, SciPy)
Career Connection
Practical application of statistics and modeling is highly sought after in analytics, market research, and scientific R&D roles across India, significantly boosting employability and problem-solving capabilities.
Network and Seek Early Internships- (Semester 3-5)
Start building your professional network by attending seminars, workshops, and guest lectures by industry experts, often organized by the college. Actively seek summer internships in relevant fields like data analytics, financial services, or IT, even if unpaid, to gain valuable industry exposure and practical insights.
Tools & Resources
LinkedIn, College placement cell, Internshala, Networking events
Career Connection
Early internships and networking provide practical exposure, refine career goals, and often lead to pre-placement offers or strong references, crucial for securing desirable positions in competitive Indian industries.
Advanced Stage
Undertake a Comprehensive Research Project/Dissertation- (Semester 6-8)
Dedicate significant effort to your Project Work/Dissertation in the final years. Choose a topic that aligns with your career interests or advanced studies. Work closely with a faculty mentor, conduct thorough literature reviews, apply rigorous methodologies, and present your findings professionally. This showcases independent research capability.
Tools & Resources
Academic databases (e.g., JSTOR, Google Scholar), Reference management software (e.g., Zotero), LaTeX for professional document writing
Career Connection
A strong dissertation demonstrates advanced problem-solving, analytical, and research skills, highly valued for postgraduate admissions, research roles, and leadership positions in technology and R&D sectors in India.
Prepare for Higher Studies or Competitive Exams- (Semester 6-8)
If aspiring for M.Sc. or Ph.D., begin preparing for entrance exams like JAM, NET, or GRE. If aiming for civil services or banking, start focused preparation for relevant competitive examinations. Join coaching institutes or study groups as needed and practice previous year''''s papers diligently. Seek advice from alumni who have successfully pursued similar paths.
Tools & Resources
GATE/JAM/NET/GRE previous year papers, Online test series, Coaching institutes, Alumni network
Career Connection
Strategic preparation for these exams is a direct pathway to prestigious academic institutions or high-demand government and public sector jobs, offering significant career stability and growth opportunities in India.
Refine Professional and Communication Skills- (Semester 6-8)
Participate in workshops on resume writing, interview preparation, and presentation skills offered by the college''''s placement cell. Practice articulating complex mathematical concepts clearly and concisely. Engage in mock interviews and group discussions to hone your communication and interpersonal skills, which are crucial for any professional role.
Tools & Resources
College placement cell resources, Online interview platforms, Toastmasters club (if available)
Career Connection
Strong professional and communication skills are vital for successful interviews, effective collaboration, and career advancement, ensuring graduates are well-equipped to integrate into the corporate world or research institutions in India.
Program Structure and Curriculum
Eligibility:
- 10+2 with Mathematics as a compulsory subject and specific CUET-UG subject combinations. Candidates must appear in CUET in Physics + Chemistry + Mathematics, or Physics + Mathematics + Any other subject, or Mathematics + Any two subjects (from section B1/B2), and score at least 30% in one language in Section IA of CUET. Minimum aggregate percentage in Class 12th as per University of Delhi admission criteria.
Duration: 4 years (8 semesters)
Credits: 160 credits Credits
Assessment: Internal: 30%, External: 70%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-1 | Calculus | Discipline Specific Core (DSC) | 4 | Limits and Continuity, Derivatives and their Applications, Integrals and their Applications, Functions of Several Variables, Partial Differentiation |
| DSC-2 | Algebra | Discipline Specific Core (DSC) | 4 | Complex Numbers, Polynomial Equations, Matrices and Determinants, Vector Spaces, Eigenvalues and Eigenvectors |
| GE-1 | Any one from the list of Generic Electives offered by other Departments | Generic Elective (GE) | 4 | |
| AECC-1 | Environmental Science | Ability Enhancement Compulsory Course (AECC) | 2 | Ecosystems, Natural Resources, Environmental Pollution, Global Environmental Issues, Environmental Ethics |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-3 | Real Analysis | Discipline Specific Core (DSC) | 4 | Real Number System, Sequences and Series of Real Numbers, Continuity and Uniform Continuity, Differentiation, Riemann Integration |
| DSC-4 | Differential Equations | Discipline Specific Core (DSC) | 4 | First Order Differential Equations, Second Order Linear Differential Equations, System of Linear Differential Equations, Partial Differential Equations, Applications of Differential Equations |
| GE-2 | Any one from the list of Generic Electives offered by other Departments | Generic Elective (GE) | 4 | |
| VAC-1 | Constitutional Values and Fundamental Duties | Value Addition Course (VAC) | 2 | Philosophy of the Indian Constitution, Fundamental Rights, Directive Principles of State Policy, Fundamental Duties, Constitutional Amendments |
| SEC-1 | Computational Skills | Skill Enhancement Course (SEC) | 2 | Introduction to Programming Languages, Algorithms and Flowcharts, Data Structures, Numerical Methods, Data Visualization |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-5 | Theory of Real Functions | Discipline Specific Core (DSC) | 4 | Sequences and Series of Functions, Power Series, Analytic Functions, Fourier Series, Weierstrass Approximation Theorem |
| DSC-6 | Group Theory | Discipline Specific Core (DSC) | 4 | Groups and Subgroups, Cyclic Groups, Permutation Groups, Homomorphisms and Isomorphisms, Sylow Theorems |
| GE-3 | Any one from the list of Generic Electives offered by other Departments | Generic Elective (GE) | 4 | |
| VAC-2 | Ethics and Values | Value Addition Course (VAC) | 2 | Introduction to Ethics, Ethical Theories, Moral Reasoning, Professional Ethics, Values in Society |
| SEC-2 | Statistical Software | Skill Enhancement Course (SEC) | 2 | Introduction to R/Python for Statistics, Data Import and Manipulation, Descriptive Statistics, Hypothesis Testing, Regression Analysis |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-7 | Partial Differential Equations and Systems of ODEs | Discipline Specific Core (DSC) | 4 | First Order PDEs, Second Order PDEs, Laplace Equation, Wave Equation, Heat Equation, Characteristics of PDEs |
| DSC-8 | Ring Theory and Linear Algebra | Discipline Specific Core (DSC) | 4 | Rings and Fields, Ideals and Factor Rings, Polynomial Rings, Vector Spaces, Linear Transformations |
| GE-4 | Any one from the list of Generic Electives offered by other Departments | Generic Elective (GE) | 4 | |
| VAC-3 | Digital Ethics | Value Addition Course (VAC) | 2 | Privacy in the Digital Age, Cybersecurity, Intellectual Property, AI Ethics, Digital Citizenship |
| SEC-3 | Mathematical Modelling | Skill Enhancement Course (SEC) | 2 | Introduction to Mathematical Models, Compartmental Models, Population Dynamics Models, Optimization Models, Simulation Techniques |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-9 | Metric Spaces and Complex Analysis | Discipline Specific Core (DSC) | 6 | Metric Spaces, Topology of Metric Spaces, Complex Numbers and Functions, Analytic Functions, Cauchy-Riemann Equations |
| DSC-10 | Probability and Statistics | Discipline Specific Core (DSC) | 6 | Probability Theory, Random Variables, Probability Distributions, Hypothesis Testing, Regression Analysis |
| DSE-1 | Any one from the list of Discipline Specific Electives offered by the Department of Mathematics | Discipline Specific Elective (DSE) | 6 | |
| SEC-4 | LaTeX and HTML | Skill Enhancement Course (SEC) | 2 | Introduction to LaTeX, Document Structure in LaTeX, Mathematical Typesetting, Introduction to HTML, Web Page Design Basics |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-11 | Functional Analysis | Discipline Specific Core (DSC) | 6 | Normed Linear Spaces, Banach Spaces, Bounded Linear Operators, Hilbert Spaces, Orthogonal Expansions |
| DSC-12 | Numerical Methods | Discipline Specific Core (DSC) | 6 | Solutions of Non-Linear Equations, Interpolation, Numerical Differentiation and Integration, Solutions of ODEs, Numerical Solutions of Systems of Linear Equations |
| DSE-2 | Any one from the list of Discipline Specific Electives offered by the Department of Mathematics | Discipline Specific Elective (DSE) | 6 | |
| VAC-4 | Yoga and Meditation | Value Addition Course (VAC) | 2 | Introduction to Yoga, Asanas and Pranayama, Benefits of Meditation, Stress Management, Mindfulness Practices |
Semester 7
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSE-3 | Any one from the list of Discipline Specific Electives offered by the Department of Mathematics | Discipline Specific Elective (DSE) | 6 | |
| DSE-4 | Any one from the list of Discipline Specific Electives offered by the Department of Mathematics | Discipline Specific Elective (DSE) | 6 | |
| SEC-5 | Research Methodology | Skill Enhancement Course (SEC) | 2 | Introduction to Research, Research Design, Data Collection Methods, Data Analysis, Report Writing |
| VAC-5 | Financial Literacy | Value Addition Course (VAC) | 2 | Personal Finance Basics, Budgeting and Saving, Investing Principles, Loans and Debt Management, Insurance and Retirement Planning |
| Project/Dissertation | Project Work/Dissertation | Project/Dissertation | 8 | Problem Identification, Literature Review, Methodology Design, Data Analysis and Interpretation, Report Writing and Presentation |
Semester 8
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSE-5 | Any one from the list of Discipline Specific Electives offered by the Department of Mathematics | Discipline Specific Elective (DSE) | 6 | |
| DSE-6 | Any one from the list of Discipline Specific Electives offered by the Department of Mathematics | Discipline Specific Elective (DSE) | 6 | |
| SEC-6 | Innovation and Entrepreneurship | Skill Enhancement Course (SEC) | 2 | Concept of Innovation, Entrepreneurial Mindset, Business Idea Generation, Business Plan Development, Funding and Marketing Strategies |
| VAC-6 | Emotional Intelligence | Value Addition Course (VAC) | 2 | Understanding Emotions, Self-Awareness, Self-Regulation, Empathy, Social Skills |
| Dissertation | Dissertation (Major Project) | Dissertation | 8 | Advanced Research Problem Definition, Comprehensive Literature Review, Advanced Methodology and Experimentation, Detailed Data Analysis and Discussion, Thesis Writing and Defense |
