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B-SC in Mathematics at VELS Institute of Science, Technology & Advanced Studies (VISTAS)
Chennai, Tamil Nadu
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About the Specialization
What is Mathematics at VELS Institute of Science, Technology & Advanced Studies (VISTAS) Chennai?
This B.Sc Mathematics program at Vels Institute of Science Technology and Advanced Studies focuses on building a strong foundational and advanced understanding of mathematical principles. Rooted in logical reasoning and problem-solving, the curriculum covers core areas like algebra, calculus, analysis, and differential equations, alongside applied fields such as numerical methods and graph theory. The program aims to equip students with analytical skills highly valued in India''''s data-driven industries and research sectors, distinguishing itself through practical applications and computational tools.
Who Should Apply?
This program is ideal for fresh graduates who have a strong aptitude and passion for mathematics from their 10+2 education, seeking entry into quantitative fields. It also serves as an excellent foundation for those aspiring for postgraduate studies in mathematics, statistics, or data science. Career changers with a science background looking to transition into analytical roles or educators seeking to deepen their subject knowledge will find this specialization beneficial.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including roles as data analysts, actuaries, financial modelers, statisticians, or educators. Entry-level salaries typically range from INR 3-5 LPA, with experienced professionals earning INR 8-15+ LPA depending on sector and skills. The strong analytical foundation also prepares students for competitive exams for civil services or further studies like M.Sc, MCA, or MBA, facilitating significant growth trajectories in Indian companies and academia.
Student Success Practices
Foundation Stage
Build Strong Foundational Concepts- (Semester 1-2)
Focus rigorously on understanding core mathematical concepts in Classical Algebra, Differential and Integral Calculus, and Analytical Geometry. Don''''t just memorize formulas; grasp the underlying proofs and derivations. Actively participate in problem-solving sessions and clarify doubts immediately.
Tools & Resources
Reference textbooks (e.g., S. Chand, Shanti Narayan), Khan Academy, NPTEL videos for conceptual clarity, Peer study groups
Career Connection
A solid foundation is crucial for mastering advanced topics required in quantitative finance, data science, and research roles, ensuring long-term career growth.
Develop Computational Fluency- (Semester 1-2)
Actively engage with practical courses like Basic Mathematics using MS Word and Excel and Basic Mathematics using Python Programming. Learn to implement mathematical concepts computationally, which is a highly sought-after skill in modern industries. Practice coding regularly with mathematical problems.
Tools & Resources
MS Excel, Python (Jupyter notebooks, Anaconda), Online coding platforms (HackerRank, LeetCode for mathematical challenges), Official Python documentation
Career Connection
This skill is essential for roles in data analysis, scientific computing, and algorithmic development across IT and finance sectors in India.
Participate in Allied Courses Strategically- (Semester 1-2)
Choose allied courses (Physics, Chemistry, Statistics, Accountancy) that align with potential career interests. Understand how mathematics underpins these diverse fields, enhancing interdisciplinary thinking. This broadens your academic perspective and potential career avenues.
Tools & Resources
Syllabus for chosen allied course, Relevant academic journals or popular science magazines, Discussions with faculty from allied departments
Career Connection
Provides a competitive edge for multidisciplinary roles in areas like actuarial science, scientific research, or financial analysis, which are growing in India.
Intermediate Stage
Deep Dive into Core Mathematical Theories- (Semester 3-5)
Concentrate on subjects like Vector Analysis, Sequence and Series, Differential Equations, Abstract Algebra, Real Analysis, Complex Analysis, and Linear Algebra. These are the bedrock of advanced mathematics. Engage in rigorous proof-writing and complex problem-solving to master these subjects.
Tools & Resources
Advanced mathematics textbooks (e.g., Walter Rudin for Real Analysis), University library resources, Specialized online courses (Coursera, edX)
Career Connection
This deep theoretical understanding is crucial for research, academia, and highly specialized roles in quantitative finance, cryptography, and theoretical computer science.
Enhance Programming Skills for Mathematical Modeling- (Semester 3-5)
Utilize the Differential Equations using Scilab and Programming in C++ with Data Structures practicals to apply mathematical concepts in software development. Learn to build mathematical models and understand data structures, foundational for efficient computation.
Tools & Resources
Scilab environment, C++ IDE (Code::Blocks, Visual Studio Code), GeeksforGeeks, W3Schools for C++ and data structures, Mathematical modeling forums
Career Connection
Directly applicable to roles in scientific computing, simulation, software development for engineering applications, and algorithm design, offering strong career prospects.
Explore Electives and Specializations- (Semester 5)
Carefully choose electives like Discrete Mathematics, Operations Research, or Special Functions and Transforms based on your emerging interests. Supplement classroom learning with self-study or MOOCs in related areas like mathematical logic or optimization to develop a niche expertise.
Tools & Resources
NPTEL courses, MOOC platforms (Coursera, edX) for related advanced topics, Research papers, Faculty guidance on elective choices
Career Connection
Helps in identifying a specific career trajectory (e.g., logistics via Operations Research, cybersecurity via Discrete Mathematics) and builds specialized expertise valued by Indian companies.
Advanced Stage
Master Applied Mathematics and Computational Tools- (Semester 6)
Focus on subjects like Numerical Methods, Topology, and Graph Theory. Implement numerical algorithms using R Programming in practicals. This bridges theoretical knowledge with practical, industry-relevant computational skills. Undertake mini-projects applying these methods.
Tools & Resources
R programming language and RStudio, CRAN packages for numerical analysis and graph theory, Documentation for Scilab/Python/R, Kaggle for data challenges
Career Connection
Direct relevance for roles in data analytics, machine learning, scientific computing, financial modeling, and network analysis, critical for India''''s digital economy.
Undertake a Comprehensive Project- (Semester 6)
Invest significant effort in the final year Project. Choose a topic that combines theoretical mathematics with practical application, ideally solving a real-world problem or exploring a novel concept. Document your work meticulously and prepare for presentations to showcase your abilities.
Tools & Resources
Academic research databases (Google Scholar, IEEE Xplore), LaTeX for report writing, Version control systems (Git), Faculty mentors
Career Connection
Showcases problem-solving abilities, research skills, and practical implementation, highly valued by employers for entry-level positions and for higher studies in India.
Prepare for Placements and Higher Studies- (Semester 6)
Alongside academic rigor, actively prepare for competitive job interviews or entrance exams for M.Sc/MBA. Enhance soft skills, practice aptitude tests, and create a strong professional resume. Leverage institutional career guidance services and alumni networks for opportunities.
Tools & Resources
Online aptitude test platforms (IndiaBix), LinkedIn for networking, University placement cell, Mock interview sessions, Career counseling
Career Connection
Directly impacts success in securing jobs in relevant sectors or gaining admission to prestigious postgraduate programs, vital for career progression.
Program Structure and Curriculum
Eligibility:
- A pass in the 10 + 2 (H.Sc) or equivalent examination with Mathematics as one of the subjects.
Duration: 3 years (6 semesters)
Credits: 140 Credits
Assessment: Internal: 40%, External: 60%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| 21LTAC101 / 21LHNC101 / 21LFNC101 | Tamil / Hindi / French - I | Language | 3 | Ilakkiyam, Grammar, Composition, Culture, Prose |
| 21LELC102 | English I | Language | 3 | Communication Skills, Reading Comprehension, Grammar, Writing Skills, Vocabulary |
| 21BMAC01 | Classical Algebra | Core | 4 | Theory of Equations, Reciprocal Equations, Newton''''s Method, Summation of Series, Logarithmic Series |
| 21BMAC02 | Differential Calculus | Core | 4 | Successive Differentiation, Leibnitz Theorem, Polar Coordinates, Curvature, Envelopes |
| 21BMAC03P | Practical I: Basic Mathematics using MS Word and Excel | Core Practical | 2 | MS Word Formatting, Equation Editor, MS Excel Functions, Charts, Data Analysis |
| 21BCAC01 | Allied Course I: Allied Physics I / Allied Chemistry I / Allied Statistics I / Allied Accountancy I | Allied | 4 | Core concepts of chosen allied field (e.g., Mechanics, Organic Chemistry, Probability, Financial Accounting) |
| 21VACC01 | Value Added Course I | Value Added | 2 | Professional Ethics, Personality Development, Environmental Awareness, Soft Skills |
| 21PCCC01 | Professional Competency Course I | Professional Competency (NPTEL/MOOC/SWAYAM/Others) | 2 | Varies based on chosen online course |
| 21EXTA01 | Extension Activity | Extension | 1 | Community Service, Social Awareness, Environmental Protection, Health and Hygiene, Cultural Activities |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| 21LTAC201 / 21LHNC201 / 21LFNC201 | Tamil / Hindi / French - II | Language | 3 | Ilakkiyam, Grammar, Composition, Culture, Prose |
| 21LELC202 | English II | Language | 3 | Advanced Communication, Literary Analysis, Report Writing, Presentation Skills, Group Discussion |
| 21BMAC04 | Analytical Geometry (2D and 3D) | Core | 4 | Co-ordinate Systems, Conic Sections, Planes, Straight Lines, Spheres |
| 21BMAC05 | Integral Calculus | Core | 4 | Integration by Parts, Bernoulli''''s Formula, Reduction Formulae, Multiple Integrals, Beta and Gamma Functions |
| 21BMAC06P | Practical II: Basic Mathematics using Python Programming | Core Practical | 2 | Python Basics, Data Types, Control Structures, Functions, Numerical Computing (Numpy, Matplotlib) |
| 21BCAC02 | Allied Course II: Allied Physics II / Allied Chemistry II / Allied Statistics II / Allied Accountancy II | Allied | 4 | Advanced concepts of chosen allied field |
| 21SACC01 | Skill Enhancement Course I | Skill Enhancement | 2 | Problem Solving, Critical Thinking, Communication Skills, Professional Etiquette |
| 21PCCC02 | Professional Competency Course II | Professional Competency (NPTEL/MOOC/SWAYAM/Others) | 2 | Varies based on chosen online course |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| 21LELC301 | English III | Language | 3 | Effective Writing, Argumentation, Research Skills, Technical Communication, Public Speaking |
| 21BMAC07 | Vector Analysis | Core | 4 | Vector Differentiation, Gradient, Divergence, Curl, Vector Integration |
| 21BMAC08 | Sequence and Series | Core | 4 | Convergent Sequences, Cauchy Sequences, Tests for Convergence, Uniform Convergence, Power Series |
| 21BCAC03 | Allied Course III: Allied Physics III / Allied Chemistry III / Allied Statistics III / Allied Accountancy III | Allied | 4 | Specialized concepts of chosen allied field |
| 21SACC02 | Skill Enhancement Course II | Skill Enhancement | 2 | Logical Reasoning, Data Interpretation, Presentation Skills, Digital Literacy |
| 21PCCC03 | Professional Competency Course III | Professional Competency (NPTEL/MOOC/SWAYAM/Others) | 2 | Varies based on chosen online course |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| 21LELC401 | English IV | Language | 3 | Global English, Intercultural Communication, Professional Writing, Critical Reading, Digital Communication |
| 21BMAC09 | Differential Equations | Core | 4 | First Order ODEs, Higher Order ODEs, Laplace Transforms, Partial Differential Equations, Fourier Series |
| 21BMAC10 | Abstract Algebra | Core | 4 | Groups, Subgroups, Normal Subgroups, Rings, Ideals |
| 21BCAC04 | Allied Course IV: Allied Physics IV / Allied Chemistry IV / Allied Statistics IV / Allied Accountancy IV | Allied | 4 | Advanced and applied concepts of chosen allied field |
| 21BMAC11P | Practical III: Differential Equations using Scilab | Core Practical | 2 | Scilab Basics, Solving ODEs Numerically, Plotting Solutions, Systems of ODEs, Data Visualization |
| 21SACC03 | Skill Enhancement Course III | Skill Enhancement | 2 | Quantitative Aptitude, Verbal Reasoning, Interview Skills, Resume Building |
| 21PCCC04 | Professional Competency Course IV | Professional Competency (NPTEL/MOOC/SWAYAM/Others) | 2 | Varies based on chosen online course |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| 21BMAC12 | Real Analysis | Core | 4 | Metric Spaces, Continuity, Compactness, Connectedness, Riemann Integration |
| 21BMAC13 | Complex Analysis | Core | 4 | Complex Numbers, Analytic Functions, Cauchy-Riemann Equations, Contour Integration, Residue Theorem |
| 21BMAC14 | Linear Algebra | Core | 4 | Vector Spaces, Linear Transformations, Eigenvalues, Eigenvectors, Inner Product Spaces |
| 21BMAC15 | Mechanics | Core | 4 | Forces, Equilibrium, Friction, Projectile Motion, Simple Harmonic Motion |
| 21BMAE01A | Elective I: Discrete Mathematics | Elective | 3 | Logic, Set Theory, Relations, Functions, Graph Theory |
| 21BMAE01B | Elective I: Operations Research | Elective | 3 | Linear Programming, Simplex Method, Transportation Problem, Assignment Problem, Game Theory |
| 21BMAE01C | Elective I: Special Functions & Transforms | Elective | 3 | Beta and Gamma Functions, Legendre Polynomials, Bessel Functions, Laplace Transforms, Fourier Transforms |
| 21BMAC17P | Practical IV: Programming in C++ with Data Structures | Core Practical | 2 | C++ Fundamentals, OOP Concepts, Arrays, Linked Lists, Stacks and Queues, Trees |
| 21PCCC05 | Professional Competency Course V | Professional Competency (NPTEL/MOOC/SWAYAM/Others) | 2 | Varies based on chosen online course |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| 21BMAC18 | Numerical Methods | Core | 4 | Solution of Equations, Interpolation, Numerical Differentiation, Numerical Integration, Numerical Solution of ODEs |
| 21BMAC19 | Topology | Core | 4 | Topological Spaces, Open and Closed Sets, Continuity, Compact Spaces, Connected Spaces |
| 21BMAC20 | Graph Theory | Core | 4 | Graphs, Paths and Cycles, Trees, Planar Graphs, Graph Colouring |
| 21BMAE02A | Elective II: Cryptography | Elective | 3 | Classical Ciphers, Number Theory for Cryptography, Public Key Cryptography, Digital Signatures, Block Ciphers |
| 21BMAE02B | Elective II: Financial Mathematics | Elective | 3 | Simple Interest, Compound Interest, Annuities, Loan Repayment, Derivatives |
| 21BMAE02C | Elective II: Data Structures | Elective | 3 | Arrays, Linked Lists, Stacks, Queues, Trees, Hashing |
| 21BMAC21P | Practical V: Numerical Methods using R Programming | Core Practical | 2 | R Basics, Data Input/Output, Numerical Analysis Functions, Plotting, Statistical Computing |
| 21SACC04 | Skill Enhancement Course IV | Skill Enhancement | 2 | Entrepreneurship, Project Management, Critical Thinking, Professional Ethics |
| 21BMPJ01 | Project | Project | 5 | Problem Identification, Literature Survey, Methodology Development, Implementation, Report Writing |
| 21PCCC06 | Professional Competency Course VI | Professional Competency (NPTEL/MOOC/SWAYAM/Others) | 2 | Varies based on chosen online course |
