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B-SC-HONOURS in Mathematics at Seth Soorajmull Jalan Girls' College
Kolkata, West Bengal
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About the Specialization
What is Mathematics at Seth Soorajmull Jalan Girls' College Kolkata?
This B.Sc. (Honours) Mathematics program at Seth Soorajmull Jalan Girls'''' College focuses on building a robust foundation in pure and applied mathematics, aligned with the rigorous University of Calcutta CBCS curriculum. It emphasizes critical thinking, problem-solving, and analytical skills, which are highly valued across various sectors in the Indian industry. The program''''s comprehensive nature prepares students for diverse career paths.
Who Should Apply?
This program is ideal for female students with a strong aptitude for logical reasoning and an interest in quantitative disciplines. It suits fresh 10+2 graduates aspiring for careers in data science, finance, teaching, or research in India. It also serves those seeking to pursue higher education like M.Sc. in Mathematics or related fields, offering a solid academic base.
Why Choose This Course?
Graduates of this program can expect to pursue India-specific career paths as data analysts, actuaries, statisticians, educators, or research assistants. Entry-level salaries typically range from INR 3-6 LPA, with experienced professionals earning INR 8-15 LPA or more. The growth trajectories are promising in analytics and IT sectors, with opportunities to align with certifications in data science or financial modeling.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Dedicate significant time to understanding fundamental concepts in Calculus and Algebra. Actively solve problems from textbooks and reference materials to solidify theoretical knowledge and build a strong base for advanced topics.
Tools & Resources
NCERT/Higher Secondary textbooks (e.g., S. Chand, R.D. Sharma for practice), University of Calcutta prescribed textbooks, Online platforms like Khan Academy for conceptual clarity
Career Connection
A strong foundation is crucial for cracking competitive exams (e.g., JAM, NET) and excelling in quantitative roles in finance or data analysis.
Develop Problem-Solving Aptitude- (Semester 1-2)
Regularly practice solving a variety of numerical and theoretical problems. Engage in peer study groups to discuss different approaches and solutions, fostering a collaborative learning environment and diverse problem-solving strategies.
Tools & Resources
Previous year question papers of University of Calcutta, Problem books like Schaum''''s Outlines, Group study sessions with classmates
Career Connection
Enhances analytical thinking and logical reasoning, highly sought-after skills in IT, consulting, and research roles in India.
Cultivate Academic Discipline- (Semester 1-2)
Establish consistent study habits, attend all lectures and tutorials, and complete assignments diligently. Focus on developing clear, concise mathematical writing skills for proofs and solutions, which is essential for higher studies.
Tools & Resources
Lecture notes, Academic mentors, Time management apps (e.g., Todoist)
Career Connection
Builds self-discipline and attention to detail, crucial for academic success and professional reliability in any career.
Intermediate Stage
Explore Skill Enhancement Courses- (Semester 3-5)
Strategically choose Skill Enhancement Courses (SEC) that align with emerging career trends, such as Scientific Computing with Python or Cryptography. Actively participate in practical sessions and apply theoretical knowledge to real-world problems.
Tools & Resources
Python IDEs (e.g., Jupyter Notebook), Online coding platforms (e.g., HackerRank, LeetCode) for Python practice, Cryptographic libraries (e.g., PyCryptodome)
Career Connection
Develops in-demand technical skills for roles in data science, cybersecurity, and computational finance within Indian companies.
Engage in Interdisciplinary Learning- (Semester 3-5)
Utilize Generic Elective (GE) courses to gain exposure to complementary fields like Statistics, Economics, or Computer Science. This broadens your perspective and identifies potential interdisciplinary career paths, crucial for the evolving Indian job market.
Tools & Resources
Course materials from chosen GE subjects, Online courses (e.g., NPTEL, Coursera) in related fields
Career Connection
Provides a competitive edge for roles requiring a blend of quantitative and domain-specific knowledge, such as quantitative finance or bioinformatics.
Participate in Math Competitions/Workshops- (Semester 3-5)
Seek out and participate in national or inter-college mathematics competitions, olympiads, or workshops. This enhances problem-solving under pressure and provides networking opportunities with peers and academics across India.
Tools & Resources
Problem sets from previous competitions (e.g., IMO, Putnam), Local university/college math clubs
Career Connection
Boosts CV, demonstrates aptitude and passion for mathematics, valuable for higher studies admissions and research-oriented careers.
Advanced Stage
Specialize through Discipline Specific Electives- (Semester 6)
Carefully select Discipline Specific Electives (DSE) like Probability and Statistics, Operations Research, or Mathematical Finance based on your career interests. Deep dive into these subjects to build specialized expertise, crucial for targeted job applications.
Tools & Resources
Advanced textbooks in chosen DSE areas, Financial modeling software (e.g., Excel, R) if applicable, Research papers and case studies
Career Connection
Directly prepares you for specialized roles in actuarial science, financial analytics, operations research, and advanced data modeling in India.
Undertake a Research Project/Internship- (Semester 6)
Opt for a project-based DSE or actively seek internships in research institutions, universities, or data analytics firms in India. This provides practical experience, applies theoretical knowledge, and builds a professional portfolio.
Tools & Resources
Faculty guidance for research topics, Internship portals (e.g., Internshala, LinkedIn), Academic journals (e.g., Indian Academy of Sciences)
Career Connection
Gains industry exposure, develops research skills, and significantly enhances employability for both higher education and direct placements.
Prepare for Post-Graduation/Career Entrance- (Semester 6)
Dedicate the final semester to intensive preparation for higher education entrance exams (e.g., JAM, GATE) or job interviews. Focus on quantitative aptitude, logical reasoning, and communication skills, practicing mock interviews and aptitude tests relevant to the Indian context.
Tools & Resources
Online test series for competitive exams, Career counseling services, Mock interview platforms, Networking with alumni for placement insights
Career Connection
Maximizes chances for securing admission to top Indian universities for M.Sc. or Ph.D., or landing coveted jobs in the Indian job market.
Program Structure and Curriculum
Eligibility:
- A candidate taking up Honours in Mathematics must have obtained: (i) A minimum of 50% marks in the aggregate and 45% marks in Mathematics or related subjects (Business Mathematics/Statistics/Physics/Chemistry) at the previous qualifying examination (10+2). OR (ii) 55% marks in Mathematics or related subjects at the previous qualifying examination. OR (iii) 50% marks in the aggregate when the candidate has not studied the subject in her previous qualifying examination, provided all other conditions are satisfied.
Duration: 3 years (6 semesters)
Credits: 140 Credits
Assessment: Internal: 20%, External: 80%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMA-CC-1-1-TH | Calculus | Core | 6 | Sequences and Series of real numbers, Functions of several variables, Limits, Continuity, Differentiability, Maxima and Minima, Applications of derivatives |
| MTMA-CC-1-2-TH | Algebra | Core | 6 | Theory of Equations, Complex Numbers, Inequalities, Congruence and Number Theory, Polynomials |
| GE-1 | Generic Elective - I | Elective (Generic) | 6 | Students select one paper from a pool of subjects offered by the university, Options include: Mathematics, Statistics, Physics, Chemistry, Economics, History, Political Science, Philosophy, Sociology, Education, Journalism, Sanskrit, Bengali, English, Hindi, Urdu, Specific topics depend on the chosen elective course |
| ENVS-AECC-1 | Environmental Studies | Ability Enhancement Compulsory Course | 2 | Multidisciplinary nature of environmental studies, Natural resources and their management, Ecosystems and biodiversity conservation, Environmental pollution and control, Social issues, human population and environment |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMA-CC-2-3-TH | Real Analysis | Core | 6 | Real number system, Metric space concept, Sequences and series of real numbers, Continuity and uniform continuity, Differentiability of functions, Mean Value Theorems, Monotonic functions and Riemann integrability |
| MTMA-CC-2-4-TH | Differential Equations | Core | 6 | First order ordinary differential equations (ODEs), Linear differential equations, Exact equations, Second order linear ODEs, Method of variation of parameters, Partial Differential Equations (PDEs) of first order, Lagrange''''s method |
| GE-2 | Generic Elective - II | Elective (Generic) | 6 | Students select another paper from the GE pool, Options similar to GE-1, usually distinct from the one chosen in GE-1, Specific topics depend on the chosen elective course |
| AECC-2 | English Communication/MIL | Ability Enhancement Compulsory Course | 2 | English communication skills, Grammar, Vocabulary, Reading comprehension, Writing skills, Or a Modern Indian Language (MIL) as an alternative, Practical application of language in academic and professional contexts |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMA-CC-3-5-TH | Theory of Real Functions | Core | 6 | Uniform convergence of sequences and series of functions, Power series, Taylor series, Fourier series, Riemann integrability and improper integrals, Functions of bounded variation, Implicit function theorem |
| MTMA-CC-3-6-TH | Group Theory I | Core | 6 | Binary operations and Group axioms, Subgroups, Cyclic groups, Permutation groups, Cosets, Lagrange''''s Theorem, Normal subgroups, Quotient groups, Group homomorphisms and isomorphisms |
| MTMA-CC-3-7-TH | Partial Differential Equations and System of ODEs | Core | 6 | Classification of second order PDEs, Wave equation, Heat equation, Laplace equation, Initial and boundary value problems, System of first order ordinary differential equations, Linear and non-linear systems, Phase portraits |
| GE-3 | Generic Elective - III | Elective (Generic) | 6 | Students select a third paper from the GE pool, Options similar to GE-1, usually distinct from previous GEs, Specific topics depend on the chosen elective course |
| SEC-A-1 | Skill Enhancement Course - I | Skill Enhancement Course | 2 | Students select one paper from SEC options., Options include: Logic and Sets (MTMA-SEC-A-1-1-TH), Analytical Geometry (MTMA-SEC-A-1-2-TH), Graph Theory (MTMA-SEC-A-1-3-TH), Boolean Algebra (MTMA-SEC-A-1-4-TH), Scientific Computing with Python (MTMA-SEC-A-1-5-TH), Specific topics depend on the chosen course |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMA-CC-4-8-TH | Riemann Integration and Series of Functions | Core | 6 | Riemann integral, Properties of integral, Fundamental Theorem of Calculus, Improper integrals, Convergence tests, Series of functions, Uniform convergence, Power series, Fourier series and their properties |
| MTMA-CC-4-9-TH | Ring Theory & Linear Algebra I | Core | 6 | Rings, Integral domains, Fields, Subrings, Ideals, Quotient rings, Vector spaces, Subspaces, Linear transformations, Null space, Range space, Basis, Dimension, Rank-Nullity Theorem |
| MTMA-CC-4-10-TH | Numerical Methods | Core | 6 | Error analysis, Floating point arithmetic, Solution of algebraic and transcendental equations, Interpolation (Lagrange, Newton), Numerical differentiation and integration, Numerical solutions of ordinary differential equations |
| GE-4 | Generic Elective - IV | Elective (Generic) | 6 | Students select a fourth paper from the GE pool, Options similar to GE-1, usually distinct from previous GEs, Specific topics depend on the chosen elective course |
| SEC-B-1 | Skill Enhancement Course - II | Skill Enhancement Course | 2 | Students select one paper from SEC options., Options include: Object Oriented Programming in C++ (MTMA-SEC-B-1-1-TH), Cryptography (MTMA-SEC-B-1-2-TH), Computer Algebra Systems and Related Software (MTMA-SEC-B-1-3-TH), Probability and Statistics (MTMA-SEC-B-1-4-TH), Mathematical Modeling (MTMA-SEC-B-1-5-TH), Specific topics depend on the chosen course |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMA-CC-5-11-TH | Metric Space and Complex Analysis | Core | 6 | Metric spaces, Open and closed sets, Compactness, Connectedness, Functions of a complex variable, Analytic functions, Cauchy-Riemann equations, Complex integration, Cauchy''''s integral theorems, Residue theorem and applications |
| MTMA-CC-5-12-TH | Group Theory II | Core | 6 | Automorphisms, Inner automorphisms, Sylow theorems and applications, Solvable groups, Nilpotent groups, Field extensions, Algebraic and transcendental extensions, Galois theory (elementary concepts) |
| DSE-A-1 | Discipline Specific Elective - I | Elective (Discipline Specific) | 6 | Students select one paper from DSE-A pool., Options include: Probability and Statistics (MTMA-DSE-A-1-TH), Industrial Mathematics (MTMA-DSE-A-2-TH), Mathematical Modeling (MTMA-DSE-A-3-TH), Bio-Mathematics (MTMA-DSE-A-4-TH), Specific topics depend on the chosen elective course |
| DSE-B-1 | Discipline Specific Elective - II | Elective (Discipline Specific) | 6 | Students select one paper from DSE-B pool., Options include: Number Theory (MTMA-DSE-B-1-TH), Linear Programming and Game Theory (MTMA-DSE-B-2-TH), Analytical Geometry (MTMA-DSE-B-3-TH), Differential Geometry (MTMA-DSE-B-4-TH), Specific topics depend on the chosen elective course |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMA-CC-6-13-TH | Functional Analysis | Core | 6 | Normed linear spaces, Banach spaces, Inner product spaces, Hilbert spaces, Orthonormal bases, Gram-Schmidt process, Bounded linear operators, Dual spaces, Hahn-Banach theorem (statement and applications) |
| MTMA-CC-6-14-TH | Linear Algebra II | Core | 6 | Eigenvalues, Eigenvectors, Diagonalization, Cayley-Hamilton Theorem, Canonical forms (Jordan, Rational), Quadratic forms, Sylvester''''s Law of Inertia, Inner product spaces, Orthogonal transformations |
| DSE-C-1 | Discipline Specific Elective - III | Elective (Discipline Specific) | 6 | Students select one paper from DSE-C pool., Options include: Mechanics (MTMA-DSE-C-1-TH), Graph Theory (MTMA-DSE-C-2-TH), Differential Equations (MTMA-DSE-C-3-TH), Mathematical Finance (MTMA-DSE-C-4-TH), Specific topics depend on the chosen elective course |
| DSE-D-1 | Discipline Specific Elective - IV | Elective (Discipline Specific) | 6 | Students select one paper from DSE-D pool., Options include: Project (MTMA-DSE-D-1-PR), Complex Analysis (MTMA-DSE-D-2-TH), Advanced Algebra (MTMA-DSE-D-3-TH), Operations Research (MTMA-DSE-D-4-TH), Specific topics depend on the chosen elective course |
