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B-SC-HONS-MATHEMATICS in General at SRM Institute of Engineering and Technology
Ambala, Haryana
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About the Specialization
What is General at SRM Institute of Engineering and Technology Ambala?
This B.Sc. (Hons.) Mathematics program at SRM University Delhi-NCR, Sonepat, focuses on providing a strong foundation in pure and applied mathematics, along with essential computational skills. It prepares students for advanced studies and careers in diverse fields. The curriculum is designed to meet industry demands in the Indian market, particularly in areas requiring analytical and problem-solving abilities, such as data science, finance, and research, differentiating itself through its blend of theoretical rigor and practical application.
Who Should Apply?
This program is ideal for fresh graduates from 10+2 with a strong aptitude for mathematics, seeking entry into quantitative roles in industries like finance, IT, and analytics. It also caters to individuals passionate about pursuing higher education or research in mathematics. Students with a keen interest in logical reasoning, abstract thinking, and problem-solving are particularly well-suited for this comprehensive degree.
Why Choose This Course?
Graduates of this program can expect to pursue India-specific career paths as data analysts, quantitative researchers, actuarial scientists, and educators. Entry-level salaries typically range from INR 3-6 LPA, growing significantly with experience. Growth trajectories include leadership roles in analytical departments or academic positions. The program''''s robust mathematical training aligns well with certifications in data science, financial modeling, and competitive exams for public sector roles.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Dedicate time to thoroughly understand fundamental concepts in Real Analysis, Algebra, and Differential Equations. Focus on proving theorems and solving a wide range of problems from textbooks and reference materials. Engage in peer study groups to clarify doubts and discuss complex topics, solidifying your theoretical base.
Tools & Resources
NPTEL courses, MIT OpenCourseWare (Calculus, Linear Algebra), Standard textbooks (e.g., S. Chand, Pearson), Peer study groups
Career Connection
A strong foundation is crucial for excelling in advanced subjects and for competitive exams like CSIR NET, GATE, and actuarial exams, which are key for research or specialized industry roles in India.
Develop Programming Fundamentals- (Semester 1-2)
Actively participate in C Programming and Data Structures labs. Practice coding regularly on platforms like HackerRank or LeetCode. Understand how mathematical algorithms can be implemented computationally, which is essential for analytical roles. Build small projects to apply theoretical knowledge.
Tools & Resources
HackerRank, GeeksforGeeks, Online C/Python tutorials, IDEs like VS Code
Career Connection
Proficiency in programming (especially C/Python) is a highly sought-after skill for data science, quantitative finance, and software development jobs in Indian tech companies and startups.
Cultivate Effective Study Habits- (Semester 1-2)
Establish a consistent study routine, prioritizing conceptual understanding over rote learning. Practice time management techniques and seek feedback from professors during office hours. Participate in college-level mathematics clubs and competitions to enhance problem-solving skills and develop a competitive edge.
Tools & Resources
Study planners, Pomodoro Technique, University''''s academic support services, Mathematics clubs
Career Connection
Strong study habits lead to academic excellence, which is a key criterion for postgraduate admissions and scholarships in top Indian and international universities.
Intermediate Stage
Apply Mathematical Concepts Practically- (Semester 3-5)
Focus on courses like Numerical Methods, Linear Programming, and Probability & Statistics. Work on projects that involve applying these concepts to real-world datasets. Learn to use software tools (e.g., MATLAB, R, Python libraries) for statistical analysis and mathematical computations.
Tools & Resources
MATLAB, R Studio, Python (NumPy, SciPy, Pandas), Kaggle datasets
Career Connection
Practical application skills are essential for roles in data analytics, market research, and operations research within Indian and global organizations.
Seek Industry Exposure and Internships- (Semester 3-5)
Actively look for summer internships or short-term projects in companies focusing on quantitative analysis, finance, or IT. Attend workshops and seminars organized by the university or industry bodies. Network with professionals to understand industry trends and requirements in India.
Tools & Resources
LinkedIn, Internshala, University placement cell, Industry webinars
Career Connection
Internships provide invaluable experience, often leading to pre-placement offers, and significantly boost employability in the competitive Indian job market.
Specialise and Build a Portfolio- (Semester 3-5)
Choose Discipline Specific Electives (DSEs) strategically based on your career interests (e.g., Financial Mathematics for finance, Discrete Mathematics for computing). Start building a portfolio of projects, research papers, or competition achievements to showcase your specialized skills.
Tools & Resources
GitHub, Personal website/blog, Research journals, Mathematics Olympiads
Career Connection
A specialized skill set and a strong portfolio differentiate you during placements and admissions for niche Master''''s programs or research opportunities in India and abroad.
Advanced Stage
Intensify Placement and Higher Study Preparation- (Semester 6)
Utilize the final year for rigorous preparation for campus placements, competitive exams (e.g., CAT, GRE, GMAT for management; JAM, GATE for postgraduate studies), or research applications. Practice aptitude tests, technical interviews, and group discussions. Refine your resume and cover letter.
Tools & Resources
Online aptitude platforms, Mock interview sessions, Career counseling services, University alumni network
Career Connection
Dedicated preparation ensures successful entry into desired postgraduate programs or securing high-paying roles in leading Indian companies and MNCs.
Undertake Capstone Project/Internship- (Semester 6)
Engage deeply in your final year project or industrial training. Aim to solve a significant problem using advanced mathematical tools and present your findings effectively. For internships, actively contribute to the company''''s goals and seek mentorship to learn industry best practices.
Tools & Resources
Academic supervisors, Industry mentors, Project management software, Presentation tools
Career Connection
A strong capstone project or internship showcases your ability to apply theoretical knowledge to practical challenges, making you job-ready for various technical and analytical roles in India.
Network and Build Professional Connections- (Semester 6)
Attend conferences, workshops, and alumni events to expand your professional network. Connect with faculty members, industry experts, and seniors. These connections can lead to mentorship, job referrals, and collaborative opportunities, which are highly beneficial in the Indian professional landscape.
Tools & Resources
LinkedIn, Professional conferences (e.g., Indian Mathematical Society), University career fairs
Career Connection
A robust professional network is vital for career advancement, opening doors to unadvertised opportunities and valuable career guidance throughout your professional journey in India.
Program Structure and Curriculum
Eligibility:
- Minimum 50% aggregate in 10+2 with Mathematics as one of the subjects.
Duration: 3 years / 6 semesters
Credits: 120 Credits
Assessment: Internal: 40%, External: 60%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMAT18101 | Differential Equations and Applications | Core | 4 | First order differential equations, Higher order linear differential equations, Laplace transforms, Inverse Laplace transforms, Applications |
| BMAT18102 | Real Analysis | Core | 4 | Real number system, Sequences of real numbers, Series of real numbers, Limits and Continuity, Differentiation |
| BMAT18103 | Algebra | Core | 4 | Groups, Subgroups and Cosets, Normal Subgroups and Homomorphisms, Rings, Integral Domains and Fields |
| BMAT18104 | Programming in C | Core | 4 | C Fundamentals, Control Statements, Functions, Arrays, Pointers, Structures and Unions |
| BHUM18101 | Environmental Studies | Ability Enhancement Compulsory Course (AECC) | 2 | Natural Resources, Ecosystems, Biodiversity, Environmental Pollution, Social Issues and the Environment |
| BLAB18101 | C-Programming Lab | Lab | 1 | C programming exercises, Basic I/O operations, Control flow structures, Functions and arrays, Pointers and structures |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMAT18201 | Vector Calculus | Core | 4 | Vector Differentiation, Gradient, Divergence, Curl, Vector Integration, Green''''s Theorem, Gauss''''s and Stoke''''s Theorems |
| BMAT18202 | Advanced Algebra | Core | 4 | Vector Spaces, Subspaces, Basis and Dimension, Linear Transformations, Eigenvalues and Eigenvectors |
| BMAT18203 | Abstract Algebra | Core | 4 | Group Theory, Ring Theory, Fields, Polynomial Rings, Field Extensions |
| BMAT18204 | Data Structures | Core | 4 | Arrays, Stacks, Queues, Linked Lists, Trees, Graphs, Searching Algorithms, Sorting Algorithms |
| BHUM18201 | English Communication Skills | Ability Enhancement Compulsory Course (AECC) | 2 | Grammar and Vocabulary, Reading Comprehension, Writing Skills, Listening and Speaking, Presentation Skills |
| BLAB18201 | Data Structures Lab | Lab | 1 | Implementation of arrays, Stack and Queue operations, Linked List manipulations, Tree traversals, Sorting and searching implementations |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMAT18301 | Advanced Real Analysis | Core | 4 | Riemann Integration, Improper Integrals, Uniform Convergence, Power Series, Fourier Series |
| BMAT18302 | Numerical Methods | Core | 4 | Solutions of Algebraic Equations, Interpolation, Numerical Differentiation, Numerical Integration, Solutions of Differential Equations |
| BMAT18303 | Linear Programming | Core | 4 | Introduction to LPP, Simplex Method, Duality in LPP, Transportation Problem, Assignment Problem |
| BMAT18304 | Probability and Statistics | Core | 4 | Probability Theory, Random Variables, Probability Distributions, Moments and Moment Generating Functions, Hypothesis Testing |
| BLAB18301 | Numerical Methods Lab | Lab | 1 | Root finding algorithms, Interpolation methods, Numerical differentiation and integration, Solving ordinary differential equations, Error analysis in numerical computations |
| BMAT18305 | Discrete Mathematics | Discipline Specific Elective (DSE) - Option 1 | 4 | Set Theory, Relations and Functions, Mathematical Logic, Graph Theory fundamentals, Combinatorics |
| BMAT18306 | Graph Theory | Discipline Specific Elective (DSE) - Option 2 | 4 | Basic Concepts of Graphs, Trees and connectivity, Eulerian and Hamiltonian Graphs, Planar Graphs, Coloring of Graphs |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMAT18401 | Complex Analysis | Core | 4 | Complex Numbers and Functions, Analytic Functions, Conformal Mapping, Complex Integration, Series Expansions |
| BMAT18402 | Partial Differential Equations | Core | 4 | Formation of PDEs, First order PDEs, Classification of PDEs, Wave Equation, Heat Equation |
| BMAT18403 | Abstract Algebra II | Core | 4 | Modules, Rings of Polynomials, Field Theory, Galois Theory, Applications of Field Theory |
| BMAT18404 | Optimization Techniques | Core | 4 | Classical Optimization, Non-linear Programming, Dynamic Programming, Queuing Theory, Game Theory |
| BLAB18401 | Optimization Lab | Lab | 1 | Implementation of LPP solutions, Simplex method computations, Transportation and assignment problems, Network optimization problems, Software tools for optimization |
| BMAT18405 | Fuzzy Sets and Applications | Discipline Specific Elective (DSE) - Option 1 | 4 | Fuzzy Sets and Operations, Fuzzy Relations, Fuzzy Arithmetic, Fuzzy Logic, Applications of Fuzzy Sets |
| BMAT18406 | Financial Mathematics | Discipline Specific Elective (DSE) - Option 2 | 4 | Interest Rates and Annuities, Bonds and Derivatives, Options Pricing Models, Stochastic Calculus for Finance, Risk Management |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMAT18501 | Metric Spaces and Topology | Core | 4 | Metric Spaces, Open and Closed Sets, Continuity and Convergence, Completeness and Compactness, Topological Spaces |
| BMAT18502 | Operations Research | Core | 4 | Inventory Control, Project Management (PERT/CPM), Replacement Problems, Sequencing Problems, Decision Theory |
| BMAT18503 | Mechanics | Core | 4 | Statics and Dynamics, Kinematics of Particles, Centre of Mass, Moments of Inertia, Lagrangian and Hamiltonian Mechanics |
| BMAT18504 | Python Programming | Skill Enhancement Course (SEC) - Option 1 | 2 | Python Basics, Data Structures in Python, Functions and Modules, Object-Oriented Programming, Data Handling and Visualization |
| BMAT18505 | Latex and HTML | Skill Enhancement Course (SEC) - Option 2 | 2 | Latex basics for document preparation, Mathematical typesetting with Latex, Presentation with Beamer, HTML fundamentals, Basic Web page design |
| BMAT18506 | Number Theory | Discipline Specific Elective (DSE) - Option 1 | 4 | Divisibility and Euclidean Algorithm, Congruences and Residue Systems, Prime Numbers and Factorization, Diophantine Equations, Quadratic Residues |
| BMAT18507 | Mathematical Modelling | Discipline Specific Elective (DSE) - Option 2 | 4 | Introduction to Modelling, Compartmental Models, Population Dynamics Models, Traffic Flow Models, Financial Models |
| BMAT18508 | Project | Project | 2 | Problem identification, Literature review, Methodology development, Data analysis and interpretation, Report writing and presentation |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMAT18601 | Functional Analysis | Core | 4 | Normed Linear Spaces, Banach Spaces, Hilbert Spaces, Linear Functionals, Operators on Hilbert Spaces |
| BMAT18602 | Differential Geometry | Core | 4 | Curves in Space, Surfaces, First and Second Fundamental Forms, Geodesics, Curvature of Surfaces |
| BMAT18603 | Control Theory | Core | 4 | System Representation, Stability Analysis, Feedback Control Systems, PID Controllers, State Space Analysis |
| BMAT18604 | R Programming | Skill Enhancement Course (SEC) - Option 1 | 2 | R Environment and Basics, Data Manipulation with R, Statistical Graphics, Functions and Control Flow, Basic Data Analysis with R |
| BMAT18605 | MATLAB Programming | Skill Enhancement Course (SEC) - Option 2 | 2 | MATLAB Environment, Matrix Operations, Scripting and Functions, Plotting and Visualization, Numerical Computing with MATLAB |
| BMAT18606 | Cryptography | Discipline Specific Elective (DSE) - Option 1 | 4 | Classical Cryptography, Symmetric-key Cryptography, Asymmetric-key Cryptography, Hash Functions, Digital Signatures |
| BMAT18607 | Biomathematics | Discipline Specific Elective (DSE) - Option 2 | 4 | Population Dynamics Models, Epidemiology Models, Pharmacokinetics, Ecological Models, Systems Biology |
| BMAT18608 | Internship/Industrial Training | Project | 2 | Practical industry experience, Application of mathematical concepts, Problem-solving in real-world settings, Technical report writing, Professional presentation skills |
