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B-SC-HONOURS-MATHEMATICS in General at Acharya Narendra Dev College
Delhi, Delhi
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About the Specialization
What is General at Acharya Narendra Dev College Delhi?
This B.Sc. (Honours) Mathematics program at Acharya Narendra Dev College focuses on building a strong theoretical foundation in various mathematical domains. It blends classical mathematics with modern applications, crucial for India''''s evolving tech and research landscape. The program is distinguished by its comprehensive curriculum under the NEP 2020 framework, designed to foster analytical and problem-solving skills highly sought after in the Indian market.
Who Should Apply?
This program is ideal for high school graduates with a strong aptitude and passion for mathematics. It caters to students aspiring for careers in data science, finance, research, and academia. Individuals looking to develop robust logical reasoning and analytical abilities for diverse Indian industries, or those planning for higher studies in mathematics or related fields, will find this curriculum highly beneficial.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including roles as data analysts, actuaries, research associates, or educators. Entry-level salaries typically range from INR 4-7 LPA, with experienced professionals earning significantly more (INR 8-15+ LPA). The strong foundational skills are key for growth trajectories in IT, finance, and scientific research sectors, aligning with various professional certifications.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Dedicate time to thoroughly understand fundamental concepts in Calculus and Algebra. Actively solve problems from textbooks and reference materials to solidify your grasp. Form study groups to discuss challenging topics and work through solutions collectively, leveraging peer learning.
Tools & Resources
NCERT textbooks, Schaum''''s Outlines, Khan Academy, Local coaching centres
Career Connection
A strong foundation in these subjects is critical for advanced courses and forms the backbone for analytical roles in any industry.
Develop Problem-Solving Aptitude- (Semester 1-2)
Engage in regular practice of numerical and theoretical problems beyond classroom assignments. Participate in mathematics clubs or olympiads to hone your logical reasoning and creative problem-solving skills. This builds resilience and a solution-oriented mindset.
Tools & Resources
Previous year question papers, Online problem-solving platforms like Brilliant.org, Mathematics departmental clubs
Career Connection
Employers in tech, finance, and research highly value strong analytical and problem-solving capabilities.
Utilize Digital Tools for Learning- (Semester 1-2)
Familiarize yourself with basic mathematical software and online resources that aid visualization and computation. Explore tools like GeoGebra or Wolfram Alpha for better comprehension of complex topics. Attend college workshops on academic software if available.
Tools & Resources
GeoGebra, Wolfram Alpha, NPTEL courses for foundational math
Career Connection
Early exposure to digital tools enhances technical readiness, beneficial for roles requiring computational mathematics or data handling.
Intermediate Stage
Engage in Skill Enhancement Courses (SECs)- (Semester 3-5)
Actively choose SECs like Python Programming or LaTeX offered in the curriculum. Master these practical skills through hands-on projects and self-study, as they directly apply to computational mathematics and scientific documentation. Participate in coding challenges.
Tools & Resources
Python (Anaconda distribution), VS Code, Overleaf for LaTeX, HackerRank/LeetCode for coding practice
Career Connection
These skills are essential for data science, actuarial science, and research roles, significantly boosting your resume for Indian IT and analytics companies.
Explore Electives for Specialization- (Semester 3-5)
Strategically choose Generic Electives (GEs) and Discipline Specific Electives (DSEs) that align with your career interests. If interested in finance, opt for Financial Mathematics; for data, consider Machine Learning. This helps in building a specialized profile.
Tools & Resources
Course catalogues of other departments, Career counseling sessions, Online industry forums
Career Connection
Focused electives help in creating a niche, making you a more attractive candidate for specific roles and industries in India.
Seek Early Internship and Project Opportunities- (Semester 3-5)
Actively look for short-term internships, summer research programs, or departmental projects. Apply your theoretical knowledge to real-world problems. Network with faculty and seniors for guidance and recommendations for such opportunities.
Tools & Resources
College placement cell, Internshala, LinkedIn, Faculty research projects
Career Connection
Practical experience significantly enhances employability and provides valuable insights into the functioning of Indian companies and research organizations.
Advanced Stage
Undertake a Comprehensive Research Project- (Semester 6-8)
For students opting for the 4-year Honours with Research, dedicate significant effort to your research/dissertation. Choose a topic that excites you and aligns with current mathematical challenges or industry needs. Seek mentorship from faculty and aim for a high-quality output.
Tools & Resources
Research journals (JSTOR, MathSciNet), Academic databases, Statistical software (R, MATLAB)
Career Connection
A strong research project demonstrates analytical depth and problem-solving skills, highly valued in academic research, R&D roles, and competitive postgraduate programs.
Prepare Rigorously for Placements/Higher Studies- (Semester 6-8)
Attend workshops on resume building, interview skills, and quantitative aptitude. Practice coding and logical reasoning for company assessments. For higher studies, prepare for entrance exams like JAM or NET/GATE and actively seek recommendations.
Tools & Resources
College placement cell mock interviews, Quantitative aptitude books, Online platforms for interview prep, Entrance exam study materials
Career Connection
Targeted preparation is crucial for securing coveted positions in Indian and international firms or gaining admission to top-tier universities for Masters/PhD programs.
Network and Engage with the Mathematical Community- (Semester 6-8)
Attend seminars, workshops, and conferences hosted by the college or other institutions. Join professional mathematical societies. Networking with academics and industry professionals can open doors to mentorship, collaborative projects, and career opportunities.
Tools & Resources
Departmental seminars, Conferences by Indian Mathematical Society, LinkedIn professional groups
Career Connection
Building a strong professional network is invaluable for career advancement, job referrals, and staying updated with industry trends in India and globally.
Program Structure and Curriculum
Eligibility:
- Passed 10+2 examination with Mathematics from a recognized board. Admission is based on the Common University Entrance Test (CUET UG) scores, typically requiring a strong score in Mathematics, Physics, Chemistry, and minimum 30% in any one language from Section IA and IB of CUET (UG).
Duration: 4 years (8 semesters), with multiple entry/exit options: Certificate after 1 year, Diploma after 2 years, B.Sc. Honours Degree after 3 years (6 semesters), and B.Sc. Honours with Research after 4 years (8 semesters).
Credits: 196 (for 4-year B.Sc. Honours with Research) or 180 (for 3-year B.Sc. Honours Degree) Credits
Assessment: Internal: 25%, External: 75%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-01 | Calculus | Discipline Specific Core (DSC) | 5 | Real numbers and sequences, Limits, continuity and differentiation, Mean value theorems and applications, Riemann integration and Fundamental Theorem of Calculus, Improper integrals |
| MAT-DSC-02 | Algebra | Discipline Specific Core (DSC) | 5 | Complex numbers and De Moivre''''s Theorem, Polynomials, roots and relations, Matrices, Echelon form, Rank, System of linear equations, Vector spaces and linear transformations |
| GE-1 | Generic Elective - I | Generic Elective (GE) | 5 | Choice-based from disciplines other than Mathematics |
| AEC-1 | Ability Enhancement Course - I | Ability Enhancement Course (AEC) | 2 | Choice-based: Environmental Science, MIL Communication, English Communication |
| VAC-1 | Value Addition Course - I | Value Addition Course (VAC) | 2 | Choice-based: Constitutional Values and Fundamental Duties, Ethics and Values, Digital Empowerment |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-03 | Real Analysis | Discipline Specific Core (DSC) | 5 | Algebraic and Order properties of Real numbers, Sequences and series of real numbers, Limits of functions, continuity, Differentiability of functions, Mean Value Theorems |
| MAT-DSC-04 | Differential Equations | Discipline Specific Core (DSC) | 5 | First order ordinary differential equations, Exact equations and integrating factors, Second order linear differential equations, Homogeneous and non-homogeneous equations, Method of variation of parameters |
| GE-2 | Generic Elective - II | Generic Elective (GE) | 5 | Choice-based from disciplines other than Mathematics |
| AEC-2 | Ability Enhancement Course - II | Ability Enhancement Course (AEC) | 2 | Choice-based: Environmental Science, MIL Communication, English Communication |
| VAC-2 | Value Addition Course - II | Value Addition Course (VAC) | 2 | Choice-based: Constitutional Values and Fundamental Duties, Ethics and Values, Digital Empowerment |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-05 | Theory of Real Functions | Discipline Specific Core (DSC) | 5 | Uniform continuity and properties, Riemann integration and improper integrals, Pointwise and uniform convergence of sequences, Uniform convergence of series of functions, Power series and radius of convergence |
| MAT-DSC-06 | Group Theory | Discipline Specific Core (DSC) | 5 | Binary operations and groups, Subgroups, cyclic groups, Permutation groups, Isomorphisms and homomorphisms, Cosets and normal subgroups, quotient groups |
| MAT-DSC-07 | Partial Differential Equations and System of ODEs | Discipline Specific Core (DSC) | 5 | First order partial differential equations, Classification of second order PDEs, Heat equation, Wave equation, System of linear ordinary differential equations |
| SEC-1 | Skill Enhancement Course - I | Skill Enhancement Course (SEC) | 2 | Choice-based: LaTeX and HTML, Python Programming, Communicative Sanskrit |
| GE-3 | Generic Elective - III | Generic Elective (GE) | 5 | Choice-based from disciplines other than Mathematics |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-08 | Ring Theory and Linear Algebra | Discipline Specific Core (DSC) | 5 | Rings, integral domains, fields, Subrings, ideals, quotient rings, Vector spaces, subspaces, Basis, dimension, coordinates, Linear transformations and matrix representation |
| MAT-DSC-09 | Numerical Analysis | Discipline Specific Core (DSC) | 5 | Errors in numerical calculations, Solution of non-linear equations, Interpolation, Numerical differentiation and integration, Numerical solution of ordinary differential equations |
| MAT-DSC-10 | Metric Spaces | Discipline Specific Core (DSC) | 5 | Metric spaces and examples, Open and closed sets, Convergent sequences, Completeness and compactness, Continuous functions on metric spaces |
| SEC-2 | Skill Enhancement Course - II | Skill Enhancement Course (SEC) | 2 | Choice-based: Introduction to R, Modelling and Simulation, Vedic Mathematics |
| GE-4 | Generic Elective - IV | Generic Elective (GE) | 5 | Choice-based from disciplines other than Mathematics |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-11 | Multivariable Calculus | Discipline Specific Core (DSC) | 5 | Functions of several variables, Limits, continuity and partial derivatives, Differentiability and Chain Rule, Extrema of functions of several variables, Lagrange multipliers |
| MAT-DSC-12 | Complex Analysis | Discipline Specific Core (DSC) | 5 | Functions of a complex variable, Analytic functions and Cauchy-Riemann equations, Complex integration, Cauchy''''s integral theorem, Taylor series and Laurent series, Residue theorem and applications |
| DSE-1 | Discipline Specific Elective - I | Discipline Specific Elective (DSE) | 5 | Choice-based: Probability and Statistics, Discrete Mathematics, Number Theory, Biomathematics |
| DSE-2 | Discipline Specific Elective - II | Discipline Specific Elective (DSE) | 5 | Choice-based: Graph Theory, Cryptography, Machine Learning, Financial Mathematics |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-13 | Mechanics | Discipline Specific Core (DSC) | 5 | Forces in equilibrium, Virtual work, Friction, centre of gravity, Moments of inertia, Motion in a straight line, simple harmonic motion |
| MAT-DSC-14 | Functional Analysis | Discipline Specific Core (DSC) | 5 | Normed linear spaces and Banach spaces, Inner product spaces and Hilbert spaces, Orthogonality and orthonormal bases, Bounded linear operators, Dual space and Hahn-Banach theorem |
| DSE-3 | Discipline Specific Elective - III | Discipline Specific Elective (DSE) | 5 | Choice-based: Object-Oriented Programming in C++, Mathematical Modeling, Portfolio Optimization, Artificial Intelligence |
| DSE-4 | Discipline Specific Elective - IV | Discipline Specific Elective (DSE) | 5 | Choice-based: Probability and Statistical Methods, Optimization Techniques, Image Processing, Quantum Computing |
Semester 7
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSE-5 | Discipline Specific Elective - V | Discipline Specific Elective (DSE) | 5 | Choice-based: Stochastic Processes, Wavelets, Data Science |
| DSE-6 | Discipline Specific Elective - VI | Discipline Specific Elective (DSE) | 5 | Choice-based: Advanced Graph Theory, Riemannian Geometry, Mathematical Biology |
| R/D-I | Research/Dissertation - I | Research/Dissertation | 5 | Literature review, Problem identification, Methodology development, Preliminary research work, Report writing |
Semester 8
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| DSE-7 | Discipline Specific Elective - VII | Discipline Specific Elective (DSE) | 5 | Choice-based: Financial Derivatives, Machine Learning Algorithms, Fuzzy Sets and Applications |
| DSE-8 | Discipline Specific Elective - VIII | Discipline Specific Elective (DSE) | 5 | Choice-based: Category Theory, Cryptographic Protocols, Actuarial Mathematics |
| R/D-II | Research/Dissertation - II | Research/Dissertation | 5 | Advanced research work, Data analysis and interpretation, Thesis writing and presentation, Refinement of research findings, Publication considerations |
