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BACHELOR-OF-ARTS in Mathematics at Sanatan Dharam Mahila Mahavidyalaya, Hansi
Hisar, Haryana
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About the Specialization
What is Mathematics at Sanatan Dharam Mahila Mahavidyalaya, Hansi Hisar?
This Mathematics specialization program at Sanatan Dharam Mahila Mahavidyalya focuses on developing a strong foundation in pure and applied mathematics. Aligned with MDU Rohtak''''s curriculum, it delves into core concepts like calculus, algebra, and analysis, essential for various scientific and analytical roles in India. The program emphasizes problem-solving skills and logical reasoning, crucial for today''''s data-driven Indian economy.
Who Should Apply?
This program is ideal for 10+2 graduates with a keen interest in mathematical principles and analytical thinking. It suits students aspiring for careers in research, data science, actuarial science, or education. Individuals aiming to pursue higher studies like M.Sc. in Mathematics or related fields, or those seeking to strengthen their quantitative aptitude for competitive exams in India, will find this curriculum beneficial.
Why Choose This Course?
Graduates of this program can expect to pursue diverse career paths in India, including data analyst, statistician, operations research analyst, or educator. Entry-level salaries typically range from INR 2.5 Lakhs to 4.5 Lakhs annually, with significant growth potential up to INR 8-15 Lakhs for experienced professionals in analytical roles. The foundational knowledge also aids in preparing for government exams and banking sectors.
Student Success Practices
Foundation Stage
Strengthen Core Concepts through Practice- (Throughout Semesters 1 and 2)
Focus on mastering fundamental calculus and differential equations by solving a wide range of problems daily. Regular practice is key to building a strong mathematical foundation.
Tools & Resources
NCERT textbooks (advanced level), R.D. Sharma, Khan Academy, Byju''''s
Career Connection
Develops essential problem-solving abilities and logical thinking, crucial for all analytical roles and higher studies in mathematics.
Form Study Groups for Peer Learning- (Regular weekly sessions in Semesters 1 and 2)
Collaborate with classmates to discuss difficult topics, solve assignments, and prepare for exams together. Explaining concepts to others reinforces your understanding.
Tools & Resources
College library, WhatsApp groups for academic discussion, Google Meet for virtual study sessions
Career Connection
Enhances teamwork, communication, and the ability to articulate complex ideas, which are invaluable skills in any professional setting.
Develop Foundational Programming Skills- (Allocate 2-3 hours weekly during Semesters 1 and 2)
Learn basic programming in Python or R to complement mathematical understanding, especially for data manipulation and visualization. This builds computational thinking.
Tools & Resources
Online courses (Coursera, NPTEL), Codecademy, HackerRank for practice problems, Python tutorials
Career Connection
Opens doors to data science and analytical roles in Indian IT and finance sectors, which increasingly require computational skills.
Intermediate Stage
Engage with Real-world Problem Solving- (Focus on application-based projects in Semesters 3 to 5)
Apply theoretical concepts from Real Analysis and Algebra to practical scenarios or case studies. Look for opportunities to model real-world problems mathematically.
Tools & Resources
Industry case studies, MDU research papers (if relevant), Mathematics modelling competitions
Career Connection
Develops applied problem-solving skills, critical for roles in operations research, data analytics, and scientific computing within Indian industries.
Explore Data Science and Statistics Tools- (Start mini-projects and tool exploration in Semesters 4 and 5)
Get hands-on with statistical software or programming libraries (e.g., R, Python''''s Pandas/NumPy) to analyze data. Understand how theoretical statistics translates to practical analysis.
Tools & Resources
RStudio, Jupyter Notebook, Kaggle datasets for practice, NPTEL courses on Data Science fundamentals
Career Connection
Directly prepares students for roles as data analysts or statisticians, which are highly demanded in India''''s growing data economy.
Network with Faculty and Professionals- (Actively participate in academic events throughout Semesters 3 to 5)
Attend department seminars, invite guest lecturers, and seek mentorship from professors on career paths and academic pursuits beyond the undergraduate degree.
Tools & Resources
Department events, LinkedIn for professional connections, College alumni network
Career Connection
Gain insights into industry trends, potential internship opportunities, and invaluable career guidance specific to the Indian job market.
Advanced Stage
Undertake a Mini-Project or Dissertation- (Initiate and complete a project in Semester 6)
Apply accumulated mathematical knowledge to a research problem or a practical application in areas like numerical methods or probability, possibly culminating in a report.
Tools & Resources
Academic journals (e.g., Indian Academy of Sciences publications), College research labs, Faculty guidance and supervision
Career Connection
Showcases independent research and application skills, serving as a strong resume booster for higher education or specialized analytical/research roles.
Prepare for Competitive Examinations- (Dedicated preparation starting mid-Semester 5 through Semester 6)
Focus on quantitative aptitude sections for various government examinations (SSC CGL, UPSC), banking sector tests, or entrance exams like CAT for MBA programs.
Tools & Resources
Online test series (e.g., Testbook, Oliveboard), Specific coaching materials, Previous year question papers for practice
Career Connection
Crucial for securing government jobs or admission to prestigious postgraduate or professional programs in India, enhancing career prospects.
Refine Interview and Presentation Skills- (Actively participate in workshops and mock sessions in Semester 6)
Practice technical interviews focusing on core mathematical concepts and learn to present project findings or solutions effectively and clearly.
Tools & Resources
Mock interviews, College placement cell workshops, Public speaking clubs
Career Connection
Essential for converting job offers in analytical, teaching, or research assistant roles, demonstrating confidence and clarity in communication.
Program Structure and Curriculum
Eligibility:
- 10+2 examination in any stream with minimum 33% marks (40% if opting for Mathematics) from a recognized Board.
Duration: 3 years / 6 semesters
Credits: 132 (Total for BA Degree, with 48 credits for Mathematics specialization papers) Credits
Assessment: Internal: 20%, External: 80%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-101 | Differential Calculus | Discipline Specific Core (DSE for BA/BSc Pass Course) | 6 | Epsilon-Delta definition of Limit and Continuity, Derivatives of functions, Rolle''''s and Mean Value Theorems, Asymptotes, Curvature, Curve Tracing, Partial Differentiation, Euler''''s Theorem, Maxima and Minima of functions of two variables |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-201 | Differential Equations | Discipline Specific Core (DSE for BA/BSc Pass Course) | 6 | Differential equations of first order and first degree, Exact differential equations, Linear differential equations of second order, Homogeneous linear differential equations, Series solutions of differential equations |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-301 | Real Analysis | Discipline Specific Core (DSE for BA/BSc Pass Course) | 6 | Real numbers, Sequences, Convergence, Infinite series, Tests for convergence, Continuity and Differentiability of functions, Uniform Convergence of sequence and series of functions, Riemann Integration |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSC-401 | Algebra | Discipline Specific Core (DSE for BA/BSc Pass Course) | 6 | Groups, Subgroups, Cyclic groups, Permutation groups, Lagrange''''s Theorem, Normal subgroups, Quotient groups, Rings, Integral domains, Fields, Polynomial rings |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSE-1 | Discrete Mathematics | Discipline Specific Elective (Choice) | 6 | Logic and Propositional Calculus, Set Theory and Functions, Relations, Equivalence Relations, Partial Order Relations, Graphs, Paths and Circuits, Trees, Boolean Algebra |
| MAT-DSE-2 | Partial Differential Equations | Discipline Specific Elective (Choice) | 6 | First order linear and non-linear PDEs, Charpit''''s method, Homogeneous and non-homogeneous linear PDEs, Method of separation of variables, Boundary value problems |
| MAT-DSE-3 | Mechanics | Discipline Specific Elective (Choice) | 6 | Coplanar forces, Resultant of forces, Friction, Virtual work, Velocity and acceleration in different coordinate systems, Simple Harmonic Motion, Projectiles |
| MAT-DSE-4 | Number Theory | Discipline Specific Elective (Choice) | 6 | Divisibility, Prime numbers, Congruences, Linear congruences, Euler''''s Totient function, Quadratic residues, Diophantine equations |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MAT-DSE-5 | Probability and Statistics | Discipline Specific Elective (Choice) | 6 | Probability, Conditional probability, Bayes'''' theorem, Random variables, Probability distributions, Binomial, Poisson, Normal distributions, Correlation and Regression, Sampling theory |
| MAT-DSE-6 | Complex Analysis | Discipline Specific Elective (Choice) | 6 | Complex numbers, Analytic functions, Cauchy-Riemann equations, Contour integration, Cauchy''''s theorem, Taylor and Laurent series, Residue theorem |
| MAT-DSE-7 | Linear Programming | Discipline Specific Elective (Choice) | 6 | Mathematical formulation of LPP, Graphical method, Simplex method, Duality in LPP, Transportation Problem, Assignment Problem |
| MAT-DSE-8 | Numerical Methods | Discipline Specific Elective (Choice) | 6 | Solution of algebraic and transcendental equations, Interpolation (Newton''''s, Lagrange''''s), Numerical differentiation and integration, Solution of linear systems (Jacobi, Gauss-Seidel), Numerical solution of ODEs (Euler''''s, Runge-Kutta) |
