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B-SC-HONOURS-MATHEMATICS in General at Maharshi Dayanand University, Rohtak
Rohtak, Haryana
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About the Specialization
What is General at Maharshi Dayanand University, Rohtak Rohtak?
This B.Sc. Honours Mathematics program at Maharshi Dayanand University, Rohtak, focuses on providing a deep and comprehensive understanding of various mathematical disciplines. It covers pure mathematics like Algebra, Analysis, and Geometry, alongside applied areas such as Differential Equations and Numerical Methods. The program prepares students for advanced studies and analytical roles, addressing the increasing demand for mathematical rigor in diverse Indian industries.
Who Should Apply?
This program is ideal for high school graduates with a strong aptitude for mathematics, seeking a robust foundation for academic research or quantitative careers. It suits individuals aspiring to pursue M.Sc. in Mathematics, Statistics, or Computer Applications, and those aiming for roles requiring analytical problem-solving skills in technology, finance, or data science in India.
Why Choose This Course?
Graduates of this program can expect to pursue career paths in actuarial science, data analysis, quantitative finance, or teaching in India. Entry-level salaries typically range from INR 3-6 LPA, with experienced professionals earning significantly more. The strong analytical foundation also serves as an excellent stepping stone for competitive exams (UPSC, banking) and enables further specialization in emerging fields.
Student Success Practices
Foundation Stage
Build Strong Conceptual Understanding- (Semester 1-2)
Focus on thoroughly understanding fundamental theorems and proofs in Algebra and Calculus. Regularly solve problems from textbooks and supplementary materials. Actively participate in tutorials and doubt-clearing sessions to clarify concepts immediately.
Tools & Resources
NCERT textbooks, Schaum''''s Outlines, Khan Academy, MIT OpenCourseware (calculus), Peer study groups
Career Connection
A solid foundation is crucial for advanced mathematics and quantitative roles, providing the mental framework for complex problem-solving required in any analytical career.
Develop Problem-Solving Aptitude- (Semester 1-2)
Engage in rigorous practice of diverse mathematical problems beyond prescribed exercises. Try to solve problems using multiple approaches and understand underlying logical structures. Participate in college-level math clubs or competitions.
Tools & Resources
RD Sharma, ML Khanna (for competitive exam prep), Brilliant.org, Online math puzzles/challenges
Career Connection
Enhances critical thinking and analytical skills, highly valued in research, data science, and consulting roles where innovative solutions are paramount.
Master English Communication & Environmental Awareness- (Semester 1-2)
Actively work on improving written and oral communication skills through presentations, essays, and group discussions. Understand environmental issues from a mathematical modeling perspective (e.g., population growth).
Tools & Resources
Toastmasters clubs (if available), Grammarly, Newspapers (The Hindu, Indian Express), UGC NET Environmental Science resources
Career Connection
Effective communication is essential for conveying complex mathematical ideas in professional settings. Environmental awareness can lead to careers in sustainable development analysis or policy-making.
Intermediate Stage
Explore Software for Mathematical Computing- (Semester 3-5)
Gain proficiency in mathematical software tools like Python (with NumPy, SciPy) or R for numerical analysis, data visualization, and statistical modeling. Utilize these tools in course projects and assignments.
Tools & Resources
Python (Anaconda distribution), R Studio, Online tutorials (Coursera, DataCamp), GeeksforGeeks for coding practice
Career Connection
These skills are directly applicable in data science, quantitative finance, machine learning, and research, making graduates highly employable in tech-driven Indian industries.
Engage in Research-Oriented Projects- (Semester 3-5)
Seek opportunities to work on small research projects with faculty, even if introductory. Focus on exploring a specific area of interest, conducting literature reviews, and presenting findings. This builds an academic profile.
Tools & Resources
University''''s research labs/faculty, JSTOR, arXiv, ResearchGate, LaTeX for scientific writing
Career Connection
Essential for students aspiring for higher education (M.Sc., PhD) or R&D roles. It demonstrates initiative and the ability to apply theoretical knowledge to real problems.
Network and Attend Workshops- (Semester 3-5)
Actively participate in university seminars, workshops, and guest lectures by mathematicians and industry experts. Connect with peers, seniors, and alumni to understand various career paths and opportunities in mathematics.
Tools & Resources
LinkedIn, University career services, Conference proceedings, Local mathematical societies
Career Connection
Building a professional network can lead to internship opportunities, mentorship, and insights into industry trends, crucial for career planning and placements in India.
Advanced Stage
Specialize and Deepen Knowledge- (Semester 6)
Choose Discipline Specific Electives (DSEs) strategically based on career interests (e.g., Numerical Methods for computational roles, Probability & Statistics for data science). Aim for a deeper understanding of the chosen areas.
Tools & Resources
Advanced textbooks in chosen DSEs, NPTEL courses, Specialized online platforms (e.g., for Actuarial Science)
Career Connection
Specialization makes you a more attractive candidate for specific roles and provides a competitive edge in a niche market, aligning with the industry''''s need for specialized skills.
Intensive Placement and Higher Education Preparation- (Semester 6)
Dedicatedly prepare for campus placements, competitive exams (e.g., GATE, JAM, UPSC Civil Services), or entrance exams for M.Sc. programs. Practice aptitude tests, technical interviews, and mock group discussions.
Tools & Resources
Placement cell resources, Online aptitude platforms, Previous year question papers, Interview preparation guides
Career Connection
Directly impacts securing desired jobs in reputed Indian companies or admission to top-tier universities for post-graduate studies, setting the stage for a successful career.
Undertake an Industrial or Research Internship- (Semester 5-6 (during breaks or dedicated period))
Actively seek and complete an internship in a relevant industry (e.g., finance, IT, analytics) or a research institution. This provides practical exposure, applies theoretical knowledge, and builds a strong resume.
Tools & Resources
Internshala, LetsIntern, Company career pages, University''''s internship coordinator
Career Connection
Internships are vital for gaining real-world experience, enhancing employability, and often lead to pre-placement offers, significantly boosting career prospects in the Indian job market.
Program Structure and Curriculum
Eligibility:
- Sr. Secondary Examination (10+2) with Mathematics as one of the subjects with at least 50% marks in aggregate or an examination recognized as equivalent thereto.
Duration: 3 years (6 semesters)
Credits: 132 Credits
Assessment: Internal: 25% (for Theory), 50% (for Practical), External: 75% (for Theory), 50% (for Practical)
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BHM101C1 | Algebra | Core | 6 | Matrices and Determinants, Vector Spaces, Eigenvalues and Eigenvectors, Group Theory, Permutation Groups, Cayley''''s Theorem |
| BHM102C2 | Calculus | Core | 6 | Differential Calculus, Integral Calculus, Limits and Continuity, Partial Derivatives, Multiple Integrals, Asymptotes |
| BHM103AECC1 | English Communication | Ability Enhancement Compulsory Course (AECC) | 2 | Grammar and Usage, Reading Comprehension, Report Writing, Presentation Skills, Verbal and Non-verbal Communication |
| BHM104GE1 | General Elective-1 | General Elective (GE) | 4 |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BHM201C3 | Real Analysis | Core | 6 | Real Number System, Sequences and Series, Continuity and Uniform Continuity, Differentiability, Riemann Integration, Intermediate Value Theorem |
| BHM202C4 | Differential Equations | Core | 6 | First Order Differential Equations, Higher Order Linear Equations, Laplace Transforms, Series Solutions, System of ODEs, Introduction to PDEs |
| BHM203AECC2 | Environmental Science | Ability Enhancement Compulsory Course (AECC) | 2 | Ecosystems and Biodiversity, Environmental Pollution, Natural Resources, Global Environmental Issues, Sustainable Development |
| BHM204GE2 | General Elective-2 | General Elective (GE) | 4 |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BHM301C5 | Theory of Real Functions | Core | 6 | Metric Spaces, Open and Closed Sets, Limits and Continuity in Metric Spaces, Uniform Continuity, Power Series, Fourier Series |
| BHM302C6 | Group Theory I | Core | 6 | Groups and Subgroups, Cyclic Groups, Cosets and Lagrange''''s Theorem, Normal Subgroups, Quotient Groups, Group Homomorphisms |
| BHM303C7 | Partial Differential Equations | Core | 6 | First Order Linear PDEs (Lagrange''''s Method), First Order Non-linear PDEs (Charpit''''s Method), Second Order PDEs, Classification of PDEs, Wave Equation, Heat Equation |
| BHM304SEC101 | LaTeX and HTML | Skill Enhancement Course (SEC) | 2 | Introduction to LaTeX, Document Structure, Mathematical Typesetting, Tables and Figures, Basics of HTML, Web Page Design |
| BHM304SEC102 | Python Programming | Skill Enhancement Course (SEC) | 2 | Python Fundamentals, Data Types and Structures, Control Flow, Functions, Object-Oriented Programming, Numerical Libraries (NumPy) |
| BHM305GE3 | General Elective-3 | General Elective (GE) | 4 |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BHM401C8 | Riemann Integration & Series of Functions | Core | 6 | Improper Integrals, Pointwise and Uniform Convergence, Weierstrass M-Test, Power Series, Radius of Convergence, Fourier Series |
| BHM402C9 | Ring Theory & Vector Calculus | Core | 6 | Rings, Subrings, Ideals, Integral Domains, Fields, Homomorphisms of Rings, Vector Differentiation, Line and Surface Integrals, Green''''s, Stokes'''', Gauss'''' Theorems |
| BHM403C10 | Metric Spaces & Complex Analysis | Core | 6 | Metric Spaces, Open/Closed Balls, Completeness and Compactness, Functions of Complex Variables, Analytic Functions, Cauchy-Riemann Equations, Conformal Mappings |
| BHM404SEC201 | Graph Theory | Skill Enhancement Course (SEC) | 2 | Graphs and Paths, Trees and Connectivity, Eulerian and Hamiltonian Graphs, Planar Graphs, Graph Coloring, Applications of Graph Theory |
| BHM404SEC202 | R Programming | Skill Enhancement Course (SEC) | 2 | Introduction to R, Data Types and Structures in R, Data Import and Export, Control Structures, Functions, Basic Statistical Analysis |
| BHM405GE4 | General Elective-4 | General Elective (GE) | 4 |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BHM501C11 | Multivariable Calculus | Core | 6 | Functions of Several Variables, Limits and Continuity, Partial and Directional Derivatives, Maxima and Minima, Lagrange Multipliers, Vector Fields and Integrals |
| BHM502C12 | Group Theory II & Ring Theory II | Core | 6 | Isomorphism Theorems for Groups, Automorphisms, Sylow''''s Theorems, Polynomial Rings, Unique Factorization Domains, Principal Ideal Domains |
| BHM503DSE101 | Number Theory | Discipline Specific Elective (DSE) | 6 | Divisibility and Congruences, Prime Numbers, Diophantine Equations, Euler''''s Phi-Function, Quadratic Residues, Cryptographic Applications |
| BHM503DSE102 | Linear Programming | Discipline Specific Elective (DSE) | 6 | Introduction to Operations Research, Formulation of LPP, Graphical Method, Simplex Method, Duality Theory, Transportation and Assignment Problems |
| BHM504DSE201 | Probability and Statistics | Discipline Specific Elective (DSE) | 6 | Probability Theory, Random Variables, Probability Distributions (Discrete & Continuous), Measures of Central Tendency, Correlation and Regression, Hypothesis Testing |
| BHM504DSE202 | Theory of Equations | Discipline Specific Elective (DSE) | 6 | Polynomial Equations, Roots of Equations, Relationship between Roots and Coefficients, Transformation of Equations, Numerical Methods for Roots (Bisection, Newton-Raphson), Reciprocal Equations |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BHM601C13 | Real Analysis III | Core | 6 | Sequences and Series of Functions, Uniform Convergence and Integration, Riemann-Stieltjes Integral, Functions of Bounded Variation, Measure Theory (Introduction), Lebesgue Integral (Overview) |
| BHM602C14 | Complex Analysis II | Core | 6 | Contour Integration, Cauchy''''s Integral Formula, Taylor and Laurent Series, Singularities and Residues, Residue Theorem, Conformal Mappings |
| BHM603DSE301 | Numerical Methods | Discipline Specific Elective (DSE) | 6 | Solutions of Algebraic & Transcendental Equations, Interpolation, Numerical Differentiation, Numerical Integration, Numerical Solutions of ODEs, Errors and Accuracy |
| BHM603DSE302 | Differential Geometry | Discipline Specific Elective (DSE) | 6 | Curves in Space, Frenet-Serret Formulas, Surfaces, First and Second Fundamental Forms, Gaussian Curvature, Geodesics |
| BHM604DSE401 | Mathematical Modeling | Discipline Specific Elective (DSE) | 6 | Introduction to Modeling, Compartmental Models, Population Dynamics, Epidemiology Models, Traffic Flow Models, Optimization Models |
| BHM604DSE402 | Bio-Mathematics | Discipline Specific Elective (DSE) | 6 | Mathematical Biology Introduction, Population Growth Models, Predator-Prey Models, Epidemic Models, Biomathematical Applications in Genetics, Pharmacokinetics |
