.png&w=1920&q=75)
B-SC in Mathematics at Jadavpur University
Kolkata, West Bengal
.png&w=1920&q=75)
About the Specialization
What is Mathematics at Jadavpur University Kolkata?
This B.Sc. Mathematics (Honours) program at Jadavpur University focuses on developing a strong foundational and advanced understanding of mathematical concepts, critical thinking, and problem-solving skills. With a rich legacy in academic excellence, the program delves into pure mathematics, applied mathematics, and computational techniques, preparing students for diverse roles in academia, research, and industry. The curriculum emphasizes analytical rigor and a systematic approach to mathematical challenges, catering to the evolving demands of the Indian job market.
Who Should Apply?
This program is ideal for high school graduates with a keen interest and strong aptitude in mathematics, aspiring to pursue higher studies in mathematics or related quantitative fields. It also suits individuals seeking a robust analytical foundation for careers in data science, finance, actuarial science, and technology sectors within India. Students with a desire to contribute to scientific research or become educators will find the comprehensive curriculum particularly rewarding.
Why Choose This Course?
Graduates of this program can expect to secure roles as data analysts, quantitative researchers, actuaries, software developers, or educators across India. Entry-level salaries typically range from INR 4-8 LPA, with significant growth potential up to INR 15-25+ LPA for experienced professionals in specialized domains. The strong analytical skills honed also pave the way for competitive exams (UPSC, banking) and further academic pursuits like M.Sc. and Ph.D. in premier Indian institutions.
Student Success Practices
Foundation Stage
Master Core Concepts with Problem Solving- (Semester 1-2)
Focus diligently on understanding the fundamental theorems and definitions in Calculus, Algebra, and Real Analysis. Practice a wide array of problems from textbooks and previous year question papers regularly to solidify conceptual understanding and improve problem-solving speed.
Tools & Resources
NCERT Mathematics, Standard textbooks (e.g., S.K. Mapa for Real Analysis), Jadavpur University''''s question bank, Peer study groups
Career Connection
A strong base in pure mathematics is crucial for advanced studies and analytical roles, providing the logical foundation required for any quantitative career.
Develop Foundational Programming Skills- (Semester 1-2)
Beyond the curriculum, dedicate time to learning a programming language like Python or C++. This enhances computational thinking, which is invaluable for applied mathematics, data science, and quantitative finance roles. Start with basic data structures and algorithms.
Tools & Resources
HackerRank, LeetCode, Coursera (Python for Everybody), NPTEL courses
Career Connection
Opens doors to data analyst, software developer, and quantitative finance roles, highly sought after in the Indian tech and finance sectors.
Engage in Departmental Seminars and Workshops- (Semester 1-2)
Actively participate in seminars, workshops, and guest lectures organized by the Mathematics department. This exposes students to diverse research areas, advanced topics, and potential mentors, fostering intellectual curiosity beyond the syllabus.
Tools & Resources
Departmental notice boards, University event calendars, Academic staff
Career Connection
Helps in early identification of research interests, networking with faculty and researchers, and understanding future academic or research career paths.
Intermediate Stage
Undertake Project-Based Learning and Internships- (Semester 3-5)
Seek out opportunities for mini-projects, either independently or with faculty guidance, applying mathematical theories to real-world problems. Actively look for summer internships in analytics, finance, or research firms to gain practical industry exposure.
Tools & Resources
University''''s career cell, LinkedIn, Internshala, Kaggle for data science projects
Career Connection
Builds a practical portfolio, develops problem-solving skills, and creates industry contacts crucial for securing placements in core mathematical or data-driven roles.
Specialization in Elective Choices- (Semester 3-5)
Strategically choose Skill Enhancement Courses (SEC) and Discipline Specific Electives (DSE) based on future career aspirations (e.g., if aiming for data science, choose topics like Probability and Statistics, Computer Algebra Systems; for finance, choose Financial Mathematics, Numerical Methods). Deepen knowledge in these chosen areas.
Tools & Resources
Syllabus details, Career counselors, Alumni advice, Online courses relevant to chosen electives
Career Connection
Allows for specialized skill development, making students more attractive to specific industry roles and enabling focused preparation for niche job markets.
Participate in Math Competitions and Olympiads- (Semester 3-5)
Engage in national or regional mathematics competitions (e.g., Indian National Mathematical Olympiad, Inter-University Mathematics Competition). This sharpens competitive problem-solving skills, enhances analytical ability under pressure, and adds significant value to a resume.
Tools & Resources
Past competition papers, Coaching centers, Online math forums
Career Connection
Demonstrates exceptional mathematical aptitude and problem-solving capabilities, highly valued by top-tier employers and for graduate school admissions.
Advanced Stage
Intensive Placement and Higher Study Preparation- (Semester 6)
Dedicate substantial time to preparing for campus placements, including aptitude tests, technical interviews (focused on mathematics and logical reasoning), and group discussions. Simultaneously, prepare for postgraduate entrance exams like JAM for M.Sc. or GRE/GMAT for international studies.
Tools & Resources
University placement cell resources, Mock interviews, Online aptitude tests, Coaching classes for entrance exams, Official exam guides
Career Connection
Directly leads to securing reputable jobs or admissions to prestigious postgraduate programs in India or abroad.
Undertake a Research Project/Dissertation- (Semester 6)
Collaborate with a faculty member on a final year research project or dissertation. This allows for in-depth exploration of a specific mathematical topic, developing research methodology, critical analysis, and scientific writing skills, showcasing independent academic work.
Tools & Resources
Faculty mentors, University library resources, Academic databases (JSTOR, MathSciNet)
Career Connection
Essential for those aspiring to research careers, PhDs, or highly analytical roles. Provides a significant academic accomplishment for resumes.
Network Strategically and Build Professional Presence- (Semester 6)
Attend industry conferences, alumni events, and workshops. Cultivate a professional online presence through platforms like LinkedIn, showcasing projects, skills, and academic achievements. Connect with professionals in target industries to explore career opportunities.
Tools & Resources
LinkedIn, Professional networking events, University alumni office
Career Connection
Creates invaluable connections for job referrals, mentorship, and career advice, significantly enhancing post-graduation opportunities.
Program Structure and Curriculum
Eligibility:
- Passed 10+2 examination with minimum 60% marks in aggregate and 60% marks in Mathematics. Admission is based on the university''''s entrance examination.
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 |
|---|---|---|---|---|
| MATH-H-CC-T-01 | Calculus | Core | 6 | Real Number System, Functions of Single Variable, Limits and Continuity, Differentiation and its Applications, Integration and its Applications |
| MATH-H-CC-T-02 | Algebra | Core | 6 | Complex Numbers, Theory of Equations, Introduction to Group Theory, Subgroups and Cosets, Permutation Groups |
| ENVS-AECC-T-01 | Environmental Studies | Ability Enhancement Compulsory Course | 2 | Ecosystems, Natural Resources, Environmental Pollution, Social Issues and the Environment, Human Population and Environment |
| MATH-H-GE-T-01 | Generic Elective I (Choice from other departments) | Generic Elective | 6 |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-H-CC-T-03 | Real Analysis | Core | 6 | Sequences and Series of Real Numbers, Limit Superior and Inferior, Continuity and Differentiability, Riemann Integral, Improper Integrals |
| MATH-H-CC-T-04 | Differential Equations | Core | 6 | First Order Differential Equations, Second Order Linear Differential Equations, Series Solutions of ODEs, Laplace Transforms, Introduction to Partial Differential Equations |
| ENGL-AECC-T-02 | English Communication | Ability Enhancement Compulsory Course | 2 | Language Acquisition, Reading Skills, Writing Skills, Listening Skills, Presentation Skills |
| MATH-H-GE-T-02 | Generic Elective II (Choice from other departments) | Generic Elective | 6 |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-H-CC-T-05 | Theory of Real Functions | Core | 6 | Metric Spaces, Real Valued Functions, Continuity and Uniform Continuity, Differentiability of Functions, Mean Value Theorems and Taylor''''s Theorem |
| MATH-H-CC-T-06 | Group Theory I | Core | 6 | Cosets and Lagrange''''s Theorem, Normal Subgroups and Quotient Groups, Homomorphisms and Isomorphism Theorems, Cayley''''s Theorem, Direct Products of Groups |
| MATH-H-CC-T-07 | Partial Differential Equations | Core | 6 | First Order PDEs (Lagrange''''s Method), Charpit''''s Method, Classification of Second Order PDEs, Wave Equation, Heat Equation and Laplace Equation |
| MATH-H-SEC-T-01A | Logic and Sets | Skill Enhancement Course (Option) | 2 | Propositional Logic, Predicate Logic, Set Operations, Relations and Functions, Cardinality |
| MATH-H-SEC-T-01B | Computer Graphics | Skill Enhancement Course (Option) | 2 | Graphics Hardware, Scan Conversion, 2D and 3D Transformations, Clipping Algorithms, Projections |
| MATH-H-SEC-T-01C | LaTeX and HTML | Skill Enhancement Course (Option) | 2 | LaTeX Document Structure, Mathematical Typesetting in LaTeX, HTML Basics, Web Page Design, Tables and Images in HTML |
| MATH-H-SEC-T-01D | Graph Theory | Skill Enhancement Course (Option) | 2 | Basic Definitions of Graphs, Paths, Cycles, and Trees, Eulerian and Hamiltonian Graphs, Bipartite Graphs, Planar Graphs and Graph Coloring |
| MATH-H-GE-T-03 | Generic Elective III (Choice from other departments) | Generic Elective | 6 |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-H-CC-T-08 | Riemann Integration & Series of Functions | Core | 6 | Riemann Integral Theory, Functions of Bounded Variation, Sequences and Series of Functions, Uniform Convergence, Power Series and Fourier Series |
| MATH-H-CC-T-09 | Ring Theory & Linear Algebra I | Core | 6 | Rings, Integral Domains, Fields, Homomorphisms and Isomorphisms of Rings, Vector Spaces and Subspaces, Basis and Dimension, Linear Transformations and Matrix Representation |
| MATH-H-CC-T-10 | Metric Spaces and Complex Analysis | Core | 6 | Metric Spaces (Open, Closed Sets, Completeness), Compactness and Connectedness, Complex Numbers and Functions, Analytic Functions, Cauchy-Riemann Equations |
| MATH-H-SEC-T-02A | Boolean Algebra and Automata Theory | Skill Enhancement Course (Option) | 2 | Boolean Algebra and Logic Gates, Karnaugh Maps, Finite Automata, Regular Languages, Introduction to Turing Machines |
| MATH-H-SEC-T-02B | Computer Algebra Systems | Skill Enhancement Course (Option) | 2 | Introduction to CAS (e.g., Mathematica, Matlab), Symbolic Computation, Numerical Methods using CAS, Plotting and Visualization, Solving Equations with CAS |
| MATH-H-SEC-T-02C | C++ Programming | Skill Enhancement Course (Option) | 2 | C++ Fundamentals, Control Structures and Functions, Arrays and Pointers, Classes and Objects (OOP), Inheritance and Polymorphism |
| MATH-H-GE-T-04 | Generic Elective IV (Choice from other departments) | Generic Elective | 6 |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-H-CC-T-11 | Probability and Statistics | Core | 6 | Random Variables and Probability Distributions, Binomial, Poisson, Normal Distributions, Measures of Central Tendency and Dispersion, Correlation and Regression, Sampling Distributions and Hypothesis Testing |
| MATH-H-CC-T-12 | Group Theory II and Numerical Methods | Core | 6 | Sylow Theorems, Simple and Solvable Groups, Interpolation Techniques, Numerical Integration, Numerical Solutions of ODEs and Linear Systems |
| MATH-H-DSE-T-01A | Linear Programming | Discipline Specific Elective (Option) | 6 | Formulation of LPP, Graphical Method and Simplex Method, Duality Theory, Transportation Problem, Assignment Problem |
| MATH-H-DSE-T-01B | Analytical Geometry | Discipline Specific Elective (Option) | 6 | Conic Sections (General Equation), Three-Dimensional Geometry (Planes, Lines), Spheres, Cones, Cylinders, Quadric Surfaces, Transformation of Axes |
| MATH-H-DSE-T-01C | Differential Geometry | Discipline Specific Elective (Option) | 6 | Curves in R^3, Arc Length, Curvature, Torsion, Serret-Frenet Formulae, Surfaces (First and Second Fundamental Forms), Geodesics |
| MATH-H-DSE-T-01D | Complex Analysis (Advanced) | Discipline Specific Elective (Option) | 6 | Power Series, Singularities and Residue Theorem, Conformal Mappings, Analytic Continuation, Maximum Modulus Principle |
| MATH-H-DSE-T-02A | Mechanics | Discipline Specific Elective (Option) | 6 | Kinematics and Dynamics, Newton''''s Laws of Motion, Work, Energy, and Power, Central Forces, Rigid Body Dynamics |
| MATH-H-DSE-T-02B | Advanced Differential Equations | Discipline Specific Elective (Option) | 6 | Existence and Uniqueness of Solutions, Boundary Value Problems, Green''''s Functions, Sturm-Liouville Theory, Linear Systems of Differential Equations |
| MATH-H-DSE-T-02C | Financial Mathematics | Discipline Specific Elective (Option) | 6 | Interest Rates and Annuities, Bonds and Securities, Options Pricing (Black-Scholes Model), Hedging Strategies, Risk Management |
| MATH-H-DSE-T-02D | Number Theory | Discipline Specific Elective (Option) | 6 | Divisibility and Congruences, Prime Numbers and Factorization, Euler''''s Totient Function, Quadratic Residues, Diophantine Equations |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATH-H-CC-T-13 | Complex Analysis | Core | 6 | Complex Integration, Cauchy''''s Integral Formula, Liouville''''s Theorem and Maximum Modulus Principle, Laurent Series and Singularities, Residue Theorem and Applications |
| MATH-H-CC-T-14 | Ring Theory II and Linear Algebra II | Core | 6 | Polynomial Rings, Unique Factorization Domains, Principal Ideal Domains, Jordan Canonical Form, Bilinear and Quadratic Forms, Inner Product Spaces |
| MATH-H-DSE-T-03A | Cryptography | Discipline Specific Elective (Option) | 6 | Classical Ciphers, Public Key Cryptography (RSA, ElGamal), Digital Signatures, Hash Functions, Key Management |
| MATH-H-DSE-T-03B | Discrete Mathematics | Discipline Specific Elective (Option) | 6 | Combinatorics and Counting Techniques, Recurrence Relations and Generating Functions, Lattices and Boolean Algebra, Advanced Graph Theory, Logic and Proof Techniques |
| MATH-H-DSE-T-03C | Mathematical Modelling | Discipline Specific Elective (Option) | 6 | The Modelling Process, Discrete Dynamical Systems, Continuous Dynamical Systems, Optimization Models, Simulation Techniques |
| MATH-H-DSE-T-03D | Tensor Calculus | Discipline Specific Elective (Option) | 6 | Tensors (Covariant and Contravariant), Tensor Algebra, Metric Tensor, Christoffel Symbols, Covariant Differentiation |
| MATH-H-DSE-T-04A | Bio-Mathematics | Discipline Specific Elective (Option) | 6 | Population Dynamics (Growth Models), Epidemic Models, Enzyme Kinetics, Cellular Automata, Biological Networks |
| MATH-H-DSE-T-04B | Image Processing | Discipline Specific Elective (Option) | 6 | Image Representation, Image Enhancement (Spatial, Frequency Domain), Image Restoration, Image Compression, Morphological Image Processing |
| MATH-H-DSE-T-04C | Fuzzy Set Theory | Discipline Specific Elective (Option) | 6 | Fuzzy Sets and Operations, Fuzzy Relations, Fuzzy Numbers, Fuzzy Logic, Fuzzy Control Systems |
| MATH-H-DSE-T-04D | Financial Mathematics II | Discipline Specific Elective (Option) | 6 | Stochastic Calculus, Ito''''s Lemma and Martingales, Advanced Option Models, Value at Risk (VaR), Credit Risk Modelling |
