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B-SC-HONS-MATHEMATICS in Mathematics at Shaheed Rajguru College of Applied Sciences for Women
Delhi, Delhi
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About the Specialization
What is Mathematics at Shaheed Rajguru College of Applied Sciences for Women Delhi?
This B.Sc.(Hons.) Mathematics program at Shaheed Rajguru College of Applied Sciences for Women focuses on building a strong foundation in pure and applied mathematics, aligned with the latest National Education Policy (NEP) guidelines. The curriculum emphasizes analytical thinking, problem-solving skills, and a comprehensive understanding of mathematical concepts crucial for various Indian industries, including IT, finance, and research, meeting the growing demand for data-driven expertise.
Who Should Apply?
This program is ideal for young women fresh graduates from 10+2 with a strong aptitude for mathematics, seeking a rigorous academic journey. It also caters to those aiming for postgraduate studies in mathematics or related fields, and aspiring professionals who wish to enter analytical roles in the Indian corporate sector. Students with a keen interest in logical reasoning and abstract concepts will find this program highly rewarding.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including data analyst, quantitative researcher, actuarial scientist, business intelligence developer, or educators. Entry-level salaries can range from INR 3-6 LPA, with significant growth potential to INR 10-15+ LPA for experienced professionals. The strong theoretical base also prepares students for competitive exams for civil services or further academic pursuits like M.Sc. and Ph.D.
Student Success Practices
Foundation Stage
Build a Strong Conceptual Core- (Semester 1-2)
Focus intently on understanding fundamental concepts in Calculus, Algebra, and Real Analysis. Attend all lectures, actively participate in tutorials, and clarify doubts promptly. Consistent practice of problems is key to solidifying understanding.
Tools & Resources
NCERT textbooks for basics, NPTEL videos for deeper insights, Khan Academy, peer study groups
Career Connection
A robust mathematical foundation is crucial for advanced courses and forms the bedrock for any analytical or quantitative role, making students adaptable to various industry challenges.
Develop Problem-Solving Agility- (Semester 1-2)
Engage in regular problem-solving sessions beyond classroom assignments. Explore challenging problems from competitive math platforms and previous year question papers. Learn to break down complex problems into smaller, manageable steps.
Tools & Resources
Previous year DU question papers, books by well-known Indian authors for competitive math, Project Euler
Career Connection
Enhanced problem-solving skills are highly valued by employers in IT, finance, and research, enabling quicker and more effective solutions to real-world business problems.
Cultivate Scientific Communication- (Semester 1-2)
Practice articulating mathematical ideas clearly and concisely, both orally and in written form. Participate in discussions, present solutions in tutorials, and write clear explanations for assignments. This includes learning to use LaTeX for professional document creation.
Tools & Resources
LaTeX for typesetting mathematical documents, departmental seminars, peer review of written assignments
Career Connection
Effective communication of complex technical ideas is essential for collaboration in teams, report writing, and presenting findings in any professional setting.
Intermediate Stage
Explore Applied Mathematics through Projects- (Semester 3-5)
Actively seek out opportunities for mini-projects or research internships in areas like Differential Equations, Numerical Methods, or Probability and Statistics. Apply theoretical knowledge to practical problems, perhaps using programming.
Tools & Resources
Python/R for data analysis, MATLAB for numerical methods, academic mentors, college research labs
Career Connection
Practical application of mathematical concepts through projects demonstrates hands-on skills to potential employers, especially in data science, finance, and engineering sectors.
Network with Industry Professionals & Alumni- (Semester 3-5)
Attend webinars, workshops, and career fairs organized by the college or relevant professional bodies. Connect with alumni working in diverse fields to gain insights into industry trends and career pathways.
Tools & Resources
LinkedIn, college alumni networks, career guidance cells, professional society events (e.g., Indian Mathematical Society)
Career Connection
Networking opens doors to mentorship, internship opportunities, and valuable career advice, significantly enhancing job prospects and understanding of industry expectations.
Deepen Programming and Statistical Skills- (Semester 3-5)
Complement core mathematics studies with strong programming skills. Learn Python or R for statistical analysis and data manipulation. This is crucial for handling real-world datasets and implementing mathematical models.
Tools & Resources
Coursera, edX for Python/R courses, Hackerrank for coding practice, Kaggle for data science competitions
Career Connection
Proficiency in programming and statistics makes graduates highly competitive for roles in data analytics, machine learning, financial modeling, and scientific computing across various Indian industries.
Advanced Stage
Specialize and Undertake a Capstone Project- (Semester 6-8)
Choose Discipline Specific Electives (DSEs) strategically based on career aspirations (e.g., Actuarial Science, Financial Mathematics, Cryptography). Undertake a substantial research project, dissertation, or industry internship that integrates diverse mathematical concepts.
Tools & Resources
Advanced academic papers, industry reports, faculty advisors, industry partners for internships
Career Connection
A well-executed capstone project showcases expertise and problem-solving ability in a chosen niche, providing a significant advantage in placements and postgraduate applications.
Prepare for Higher Studies or Targeted Placements- (Semester 6-8)
For higher studies, prepare for entrance exams like JAM (Joint Admission Test for M.Sc.) or GATE (Graduate Aptitude Test in Engineering) if applicable to related fields. For placements, tailor your resume, practice aptitude tests, and hone interview skills.
Tools & Resources
Coaching institutes for competitive exams, online aptitude test platforms, mock interview sessions, career development workshops
Career Connection
Targeted preparation ensures smooth transitions, whether pursuing advanced degrees at top Indian institutions or securing coveted roles in finance, IT, or analytics.
Engage in Mentorship and Leadership Roles- (Semester 6-8)
Mentor junior students, take on leadership roles in college clubs or societies, and assist faculty in departmental activities. This develops soft skills, teamwork, and leadership qualities.
Tools & Resources
College student bodies, departmental committees, organizing academic events, peer mentorship programs
Career Connection
Leadership and mentoring experience are highly valued by employers, demonstrating initiative, communication, and interpersonal skills essential for professional growth in any Indian organization.
Program Structure and Curriculum
Eligibility:
- No eligibility criteria specified
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 |
|---|---|---|---|---|
| DSC-1 | Calculus | Core | 4 | Limit and Continuity, Differentiation and its Applications, Riemann Integration, Fundamental Theorem of Calculus, Polar Coordinates |
| DSC-2 | Algebra | Core | 4 | Complex Numbers, Polynomial Equations, Matrices and Determinants, Vector Spaces, Linear Transformations |
| DSC-3 | Discrete Mathematics | Core | 4 | Logic and Propositional Calculus, Set Theory and Relations, Counting Principles and Combinatorics, Graph Theory Fundamentals, Trees and Connectivity |
| GE-1 | Generic Elective - 1 | Elective (Interdisciplinary) | 4 | Topics depend on chosen elective from the official list. |
| AEC-1 | Environmental Science/Studies | Ability Enhancement Compulsory | 2 | Ecosystems and Biodiversity, Natural Resources and Conservation, Environmental Pollution, Global Environmental Issues, Sustainable Development |
| VAC-1 | Value Addition Course - 1 | Value Addition | 2 | Topics depend on chosen elective from the official list (e.g., Constitutional Values, Digital Empowerment). |
| SEC-1 | Skill Enhancement Course - 1 | Skill Enhancement | 2 | Topics depend on chosen elective from the official list (e.g., Yoga and Fitness, NSS, NCC). |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-4 | Differential Equations | Core | 4 | First Order Differential Equations, Higher Order Linear Differential Equations, Systems of Linear Differential Equations, Laplace Transforms, Series Solutions |
| DSC-5 | Real Analysis | Core | 4 | Real Number System, Sequences and Series, Limits and Continuity of Functions, Differentiation of Real Functions, Metric Spaces (Introduction) |
| DSC-6 | Probability and Statistics | Core | 4 | Probability Spaces and Axioms, Random Variables and Distributions, Mathematical Expectation, Correlation and Regression, Basic Statistical Inference |
| GE-2 | Generic Elective - 2 | Elective (Interdisciplinary) | 4 | Topics depend on chosen elective from the official list. |
| AEC-2 | Academic English/MIL (Modern Indian Language) | Ability Enhancement Compulsory | 2 | Topics depend on chosen language and curriculum for academic communication. |
| VAC-2 | Value Addition Course - 2 | Value Addition | 2 | Topics depend on chosen elective from the official list. |
| SEC-2 | Skill Enhancement Course - 2 | Skill Enhancement | 2 | Topics depend on chosen elective from the official list. |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-7 | Theory of Real Functions | Core | 4 | Riemann Integration Theory, Improper Integrals, Sequences and Series of Functions, Uniform Convergence, Power Series |
| DSC-8 | Group Theory | Core | 4 | Groups and Subgroups, Cyclic Groups, Permutation Groups, Normal Subgroups and Quotient Groups, Group Homomorphisms |
| DSC-9 | Multivariate Calculus | Core | 4 | Functions of Several Variables, Limits and Continuity, Partial Derivatives, Multiple Integrals, Vector Calculus |
| GE-3 | Generic Elective - 3 | Elective (Interdisciplinary) | 4 | Topics depend on chosen elective from the official list. |
| SEC-3 | Skill Enhancement Course - 3 | Skill Enhancement | 2 | Topics depend on chosen elective from the official list. |
| VAC-3 | Value Addition Course - 3 | Value Addition | 2 | Topics depend on chosen elective from the official list. |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-10 | Metric Spaces and Complex Analysis | Core | 4 | Metric Spaces: Open/Closed Sets, Convergence, Complex Numbers and Functions, Analytic Functions, Cauchy-Riemann Equations, Conformal Mappings |
| DSC-11 | Ring Theory and Linear Algebra | Core | 4 | Rings and Subrings, Ideals and Quotient Rings, Integral Domains and Fields, Basis and Dimension of Vector Spaces, Linear Transformations and Matrices |
| DSC-12 | Numerical Methods | Core | 4 | Error Analysis, Solutions of Non-linear Equations, Interpolation, Numerical Differentiation and Integration, Numerical Solutions of ODEs |
| GE-4 | Generic Elective - 4 | Elective (Interdisciplinary) | 4 | Topics depend on chosen elective from the official list. |
| SEC-4 | Skill Enhancement Course - 4 | Skill Enhancement | 2 | Topics depend on chosen elective from the official list. |
| VAC-4 | Value Addition Course - 4 | Value Addition | 2 | Topics depend on chosen elective from the official list. |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-13 | Partial Differential Equations | Core | 4 | First Order Linear PDEs, Lagrange''''s Method, Charpit''''s Method, Second Order Linear PDEs, Wave and Heat Equations |
| DSC-14 | Mechanics | Core | 4 | Statics and Virtual Work, Friction, Kinematics of Particles, Newton''''s Laws of Motion, Conservation Laws |
| DSE-1 | Discipline Specific Elective - 1 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Mathematical Modeling, Bio-Mathematics). |
| DSE-2 | Discipline Specific Elective - 2 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Advanced Algebra, Fluid Dynamics). |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSC-15 | Functional Analysis | Core | 4 | Normed Linear Spaces, Banach Spaces, Inner Product Spaces, Hilbert Spaces, Bounded Linear Operators |
| DSC-16 | Complex Analysis | Core | 4 | Complex Integration, Cauchy Integral Formula, Liouville''''s Theorem, Taylor and Laurent Series, Residue Theorem |
| DSE-3 | Discipline Specific Elective - 3 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Cryptography, Number Theory). |
| DSE-4 | Discipline Specific Elective - 4 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Operations Research, Differential Geometry). |
Semester 7
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSE-5 | Discipline Specific Elective - 5 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Actuarial Mathematics, Stochastic Processes). |
| DSE-6 | Discipline Specific Elective - 6 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Financial Mathematics, Fuzzy Sets and Applications). |
| DSE-7 | Discipline Specific Elective - 7 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Wavelets, Probability Theory and Applications). |
| DSE-8 | Discipline Specific Elective - 8 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Difference Equations, Mathematical Ecology). |
Semester 8
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSE-9 | Discipline Specific Elective - 9 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Optimization Techniques, Statistical Learning). |
| DSE-10 | Discipline Specific Elective - 10 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Game Theory, Applied Statistics). |
| DSE-11 | Discipline Specific Elective - 11 | Elective (Discipline Specific) | 4 | Topics depend on chosen elective (e.g., Advanced Numerical Methods, Graph Theory and Applications). |
| PROJ-1 | Research Project / Dissertation / Internship | Project | 12 | Problem Identification and Literature Review, Methodology Design and Implementation, Data Analysis and Interpretation, Report Writing and Presentation, Practical Application of Mathematical Concepts |
