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B-SC in Mathematics at DR. RAM NARAYAN MAHILA MAHAVIDYALAYA, KAYAMGANJ, FARRUKHABAD
Farrukhabad, Uttar Pradesh
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About the Specialization
What is Mathematics at DR. RAM NARAYAN MAHILA MAHAVIDYALAYA, KAYAMGANJ, FARRUKHABAD Farrukhabad?
This B.Sc. Mathematics program at DR. RAM NARAYAN MAHILA MAHAVIDYALAYA, affiliated with CSJMU, focuses on building a robust foundation in pure and applied mathematics. It covers core areas like Calculus, Algebra, Analysis, Differential Equations, and Discrete Mathematics. The program prepares students for higher studies or quantitative roles, addressing the increasing demand for analytical skills across diverse Indian industries.
Who Should Apply?
This program is ideal for 10+2 science graduates with a strong aptitude for logical reasoning and problem-solving. It caters to aspiring researchers, educators, and those seeking entry-level roles in data analytics, finance, or IT sectors in India. It is also suitable for individuals looking to enhance their quantitative abilities for competitive examinations.
Why Choose This Course?
Graduates of this program can expect to pursue M.Sc. in Mathematics, MCA, or MBA. Career paths in India include data analyst, actuarial science, operations research, financial modeling, and teaching. Entry-level salaries typically range from INR 2.5 LPA to 5 LPA, with significant growth potential in specialized fields within Indian companies and startups. The program provides a strong base for various professional certifications.
Student Success Practices
Foundation Stage
Master Core Concepts and Problem-Solving- (Semester 1-2)
Focus on understanding fundamental theorems and definitions in Calculus and Algebra. Practice a wide range of problems daily, ensuring clarity on concepts before moving to advanced topics. Form study groups to discuss challenging problems and clarify doubts with peers.
Tools & Resources
NCERT textbooks (for revision), Schaum''''s Outlines series, Online platforms like Khan Academy, Byju''''s for concept videos, Peer study groups
Career Connection
A strong foundation is crucial for all advanced mathematical applications and competitive exams, laying the groundwork for roles in research or quantitative analysis.
Develop Computational Skills with Software- (Semester 1-2)
Actively engage with practical lab sessions. Learn to use mathematical software like MATLAB, Scilab, or Python (with NumPy/SciPy) to solve problems from Differential Calculus and Algebra. This enhances computational thinking and prepares for data-intensive roles.
Tools & Resources
MATLAB/Scilab tutorials, Python programming tutorials (especially NumPy and SciPy), GeeksforGeeks for basic programming logic
Career Connection
Proficiency in computational tools is highly valued in data science, scientific computing, and engineering roles in India.
Build a Strong Logical Reasoning Base- (Semester 1-2)
Participate in quizzes, puzzles, and logical reasoning challenges. Read up on foundational logic principles relevant to discrete mathematics. This strengthens analytical abilities vital for advanced mathematical proofs and problem-solving.
Tools & Resources
Online logical reasoning tests, Competitive exam preparation books for aptitude, Puzzle websites and books
Career Connection
Sharp logical reasoning is a core skill for any quantitative role, academic research, and entrance exams for higher education in India.
Intermediate Stage
Apply Concepts to Real-World Scenarios- (Semester 3-4)
Seek opportunities to apply Linear Programming, Real Analysis, and Numerical Methods to practical problems. Look for case studies or simple projects that involve optimizing resources or modeling real-world phenomena. Explore local industry needs for mathematical solutions.
Tools & Resources
Online courses on Operations Research, NPTEL lectures on applied mathematics, Local business case studies for optimization
Career Connection
This practical application skill is essential for roles in operations research, logistics, and data modeling within Indian industries.
Explore Advanced Mathematical Software- (Semester 3-4)
Delve deeper into software like Mathematica or Maple for symbolic computation and advanced numerical analysis. Use these tools for subjects like Metric Space, Complex Analysis, and Differential Equations to visualize concepts and solve complex problems.
Tools & Resources
Wolfram Mathematica documentation and tutorials, Maple user guides, Open-source alternatives like GNU Octave
Career Connection
Advanced software proficiency opens doors to roles in scientific research, computational finance, and academic support within India.
Network and Participate in Academic Events- (Semester 3-4)
Attend university-level seminars, workshops, and competitions in mathematics. Connect with faculty and senior students. Consider presenting minor research findings or participating in mathematical Olympiads or problem-solving contests.
Tools & Resources
CSJMU academic calendar, Department notice boards for events, LinkedIn for professional networking
Career Connection
Networking can lead to mentorship, research opportunities, and early career insights within the academic and professional communities in India.
Advanced Stage
Specialize through Projects and Electives- (Semester 5-6)
Undertake a mini-project in an area of interest like Mathematical Modelling, Discrete Mathematics, or Integral Transforms. Focus on applying theoretical knowledge to solve a defined problem, possibly with a computational component. This builds a portfolio for higher studies or job applications.
Tools & Resources
Research papers (arXiv.org), Project guidance from faculty, GitHub for sharing code/projects
Career Connection
Project experience demonstrates practical skills, crucial for securing internships and jobs in India''''s research and development sectors or for strong M.Sc. applications.
Prepare for Higher Education and Placements- (Semester 5-6)
Start preparing for postgraduate entrance exams like JAM (Joint Admission Test for M.Sc.), CAT (for MBA), or other university-specific entrance tests. Regularly practice aptitude, quantitative reasoning, and subject-specific questions. Attend campus placement drives and mock interviews.
Tools & Resources
JAM/CAT preparation books and online courses, Previous year question papers, Career services cell at the college/university, Online mock interview platforms
Career Connection
Strategic preparation significantly improves chances for admission to top Indian universities for M.Sc./MBA or securing desirable jobs during campus placements.
Develop Communication and Presentation Skills- (Semester 5-6)
Practice explaining complex mathematical concepts clearly and concisely to both technical and non-technical audiences. Participate in group discussions, seminars, and workshops to hone public speaking abilities, which are vital for academic and corporate roles.
Tools & Resources
Toastmasters International (for public speaking), Departmental seminars and presentations, Peer feedback sessions
Career Connection
Effective communication is essential for conveying technical insights, collaborating in teams, and leading projects, enhancing employability in various Indian sectors.
Program Structure and Curriculum
Eligibility:
- 10+2 with Mathematics as a subject from a recognized board.
Duration: 3 years / 6 semesters
Credits: 60 credits (for Mathematics subjects). Overall B.Sc. degree as per NEP typically requires 120-132 credits. Credits
Assessment: Internal: 25%, External: 75%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| B010101T | Differential Calculus | Core | 4 | Successive Differentiation, Rolle''''s and Mean Value Theorems, Taylor''''s and Maclaurin''''s series, Partial Differentiation, Euler''''s Theorem for Homogeneous Functions, Tangents and Normals, Curvature, Asymptotes |
| B010102T | Algebra | Core | 4 | Relation between roots and coefficients, Transformation of equations, Descartes'''' rule of signs, Matrices and types of matrices, Rank of a matrix, Cayley-Hamilton Theorem, Eigenvalues and Eigenvectors, Vector spaces and subspaces |
| B010103P | Mathematics Practical (Based on Differential Calculus & Algebra) | Lab | 2 | Problems on limits and differentiation, Finding roots of equations, Matrix operations (addition, multiplication, inverse), Vector space concepts (linear independence), Use of software like MATLAB/Scilab for calculations |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| B010201T | Integral Calculus and Differential Equations | Core | 4 | Reduction formulae, Beta and Gamma functions, Double and Triple Integrals, Area and Volume calculations, Order and degree of differential equations, First order and first degree differential equations, Exact differential equations, Clairaut''''s equation |
| B010202T | Vector Calculus and Geometry | Core | 4 | Vector differentiation, Gradient, Divergence, Curl, Vector identities, Spheres, Cones and Cylinders, Central Conicoids |
| B010203P | Mathematics Practical (Based on Integral Calculus, Differential Equations & Geometry) | Lab | 2 | Problems on integration techniques, Solution of various types of differential equations, Vector operations (dot product, cross product), Visualizing 3D geometrical shapes, Computer-aided problem solving using software |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| B010301T | Real Analysis | Core | 4 | Real number system, supremum and infimum, Sequences and series of real numbers, Uniform convergence, Riemann Integral, Improper integrals, Functions of several variables |
| B010302T | Linear Programming and Game Theory | Core | 4 | Linear programming problems (LPP), Graphical method and Simplex method, Duality in LPP, Transportation problems, Assignment problems, Game theory, Two-person zero-sum games, Optimal strategies |
| B010303P | Mathematics Practical (Based on Real Analysis & Linear Programming) | Lab | 2 | Problems on sequences and series convergence, Evaluation of Riemann integrals, Solving LPP using various methods, Analyzing game theory problems, Implementation of algorithms using software |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| B010401T | Metric Space and Complex Analysis | Core | 4 | Metric space, Open and closed sets, Compactness and Connectedness, Complex numbers and functions, Cauchy-Riemann equations, Conformal mapping, Contour integration, Residue theorem |
| B010402T | Numerical Methods | Core | 4 | Solutions of algebraic and transcendental equations, Interpolation techniques (Newton''''s, Lagrange''''s), Numerical differentiation, Numerical integration (Trapezoidal, Simpson''''s), Numerical solution of ordinary differential equations |
| B010403P | Mathematics Practical (Based on Metric Space & Numerical Methods) | Lab | 2 | Problems on complex functions and limits, Evaluating contour integrals, Implementing numerical methods for equation solving, Performing numerical differentiation and integration, Solving ODEs numerically using programming languages |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| B010501T | Special Functions and Integral Transforms | Core | 4 | Gamma and Beta functions, Legendre functions, Bessel functions, Laplace transform and its properties, Fourier transform and its properties, Inverse transforms, Applications to differential equations |
| B010502T | Partial Differential Equations and Dynamics | Core | 4 | Formation of PDEs, First order PDEs (Lagrange''''s, Charpit''''s methods), Second order PDEs and their classification, Wave equation, Heat equation, Rectilinear motion, Projectiles, Central orbits |
| B010503P | Mathematics Practical (Based on Special Functions, Integral Transforms, ODE & PDE) | Lab | 2 | Problems on special functions series, Applications of Laplace and Fourier transforms, Numerical solutions of Ordinary Differential Equations (ODE), Numerical solutions of Partial Differential Equations (PDE), Using software for symbolic and numerical computations |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| B010601T | Discrete Mathematics | Core | 4 | Mathematical logic (propositions, predicates), Set theory and relations, Functions, Partially ordered sets, Lattices, Boolean algebra, Graph theory (paths, cycles, connectivity), Trees and spanning trees |
| B010602T | Mathematical Modelling | Core | 4 | Types of mathematical models, Modelling through differential equations, Modelling through difference equations, Probability models, Growth and decay models, Population dynamics models, Epidemic models, Compartmental models |
| B010603P | Mathematics Practical (Based on Discrete Mathematics & Mathematical Modelling) | Lab | 2 | Problems on logic and set operations, Graph algorithms (shortest path, spanning tree), Simulating real-world scenarios using differential/difference equations, Data analysis for modelling parameters, Using software tools for discrete mathematics and simulation |
